From 82c83cac9ec9a2482735b29810517d9c1104533f Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Wed, 7 Oct 2020 18:42:17 -0700 Subject: [PATCH 01/19] added HIP proposal for beaconing rewards, initial commit --- 00NN-beaconing-rewards.md | 197 +++ .../RewardDistributionHist.png | Bin 0 -> 29585 bytes .../RewardDistributionHist.svg | 1462 +++++++++++++++++ 00NN-beaconing-rewards/RewardRX_equation.PNG | Bin 0 -> 7731 bytes 00NN-beaconing-rewards/RewardTX_equation.PNG | Bin 0 -> 6733 bytes 5 files changed, 1659 insertions(+) create mode 100644 00NN-beaconing-rewards.md create mode 100644 00NN-beaconing-rewards/RewardDistributionHist.png create mode 100644 00NN-beaconing-rewards/RewardDistributionHist.svg create mode 100644 00NN-beaconing-rewards/RewardRX_equation.PNG create mode 100644 00NN-beaconing-rewards/RewardTX_equation.PNG diff --git a/00NN-beaconing-rewards.md b/00NN-beaconing-rewards.md new file mode 100644 index 000000000..9041ebd04 --- /dev/null +++ b/00NN-beaconing-rewards.md @@ -0,0 +1,197 @@ +# Proposal for Beaconing Rewards + +- Start Date: 2020-10-07 +- HIP PR: +- Tracking Issue: + +# Summary +[summary]: #summary + +This proposal suggests a change to proof-of-coverage (PoC) from multihop to beaconing as well as a change in how PoC is rewarded that combines HNT mining for witnessing and PoC into one pool and gives the bulk of the reward to hotspot witnessing or receiving RF payloads vs transmitting RF payloads. + +# Motivation +[motivation]: #motivation + +The first motivation is to eliminate Multi-hop PoC has many flaws both in complexity of implementation and imbalance of rewards. This proposal wont focus on the flaws with multi-hop PoC because they are fairly well understood and agreed upon. Some main flaws are complexity of path building and receipt verification, poor path reliability, and uneven challenge rates (and corresponding reward distribution) based on network topology. + +Secondly, beaconing with the modified reward structure outlined below does a much better job of rewarding desired coverage. The existing PoC method and reward structure heavily rewards transmitters with minimal rewards for receivers while the vast majority of LoRaWAN usage is for unconfirmed downlinks meaning hotspots mostly receive data. Rewards should be biased towards hotspots that can receive well. + + +# Stakeholders +[stakeholders]: #stakeholders + +All hotspot owners will be affected by this HIP as the reward structure and PoC behavior will undergo a significant change. In general, hotspots that are able to witness many other hotspots are likely to see rewards go up and hotspots that can only witness a few hotspots may see rewards go down. + +The Helium Inc developer team will also need to change sections of the blockchain-core to change how reward distribution is calculated and PoCs are build (although this can be very similar to a length 1 multihop PoC). + +Finally, some chain variables may need updating to introduce new variables described below as well as change the reward distribution percentages. + + +# Detailed Explanation +[detailed-explanation]: #detailed-explanation + +Beaconing behaves a lot like a single hop of PoC but there is no intended target, everyone that can receive a transmission is a witness. +Beacons can be initiated in the same manner as PoC today, where challenger hotspots trigger a hotspot to beacon and gather witness receipts (this works fine if the challenger role is being moved to CG per [Consensus Group PoC Challenges](https://github.com/helium/HIP/pull/41)). +I assume each active hotspot will be targeted uniformly randomly so on average, each hotspot will be challenged the same number of times. + +To determine the rewards given for a beacon I first define a term ***reward unit***. +A reward unit is not a defined amount of HNT but a slice of the available PoC rewards for each epoch. +So, for example if there are 1,000 HNT to be rewarded for PoC activity and there are 100 reward units from all PoC activity, each reward unit will get 10 HNT. +If there are 5,000 reward units in an epoch, each unit will get 0.2 HNT. +This is very similar to how PoC and witness rewards are distributed today, where the value of each witness varies epoch to epoch depending on how many witnesses there were. + +The formulas below and example plot show how the number of reward units is calculated and distributed among the transmitter and witnesses for each beacon. + +### Reward Formula for beaconing +Definitions: + + - `w` = Number of witnesses to a transmission + - `N` = Desired redundancy. `N`+1 hotspots cover an area + - `r` = decay rate for additional transmitter reward if `w` > `N`. + + Reward formula for Transmitter: + + ![image RewardTX formula](./00NN-beaconing-rewards/RewardTX_equation.PNG) + + Reward Formula for each Receiver: + + ![image RewardRX formula](./00NN-beaconing-rewards/RewardTX_equation.PNG) + + + A chart showing reward distribution basd on the formulas listed above with example values of `N`=4 and `r`=0.8: + ![image Reward distribution](./00NN-beaconing-rewards/RewardDistributionHist.svg) + + + +There are 3 regions in this reward distribution described below: + +#### w < N +For each beacon challenge there is desired number of witnesses which should be set by chain variable `N`. +This number should be >1 because we want redundant RF coverage since hotspots are “unreliable” as compared to enterprise gateways like cell towers. +If the number of witnesses (`w`) is less than `N`, then this area is under desired coverage. +Each witness gets a full 1-unit of reward for providing needed coverage, the transmitter receives a fraction of a reward unit proportionally based on the number of witnesses. +This encourages the transmitter to broadcast as powerfully and broadly as possible. + +#### w = N +At this point we have ideal redundant coverage based on the chain variables. +The transmitter gets 1 unit of reward and each witness gets 1 unit of reward. +In total there are `N`+1 units of reward given for this beacon with each participant getting 1 unit. + +#### w > N +If the number of witnesses is greater than desired, we have too much coverage for this transmitter. +We still want to encourage the transmitter to transmit as wide reaching as possible to expose this over-coverage, so we give a small portion of the witness rewards to the transmitter up to 1 additional unit of rewards. +For witnesses they all split the pool of reward units remaining for witnesses. +This means the total reward given to all participants remains at `N`+1 so there is no significant gain to be had by having the number of witnesses way above `N`. +This reward structure still encourages witnesses to report receipts as even though they get a smaller and smaller slice of reward they still get rewarded so greedy witnesses will want to witness as many transmissions as possible. + +Overall, this method should encourage greedy transmitters to transmit as powerfully and with as much coverage as possible and witnesses to receive as many transmissions as possible and deliver witness receipts. +Thus each hotspot is motivated to provide as much coverage as possible without over-rewarding redundant coverage. +This reward structure does a much better job of giving rewards to “good” coverage meaning coverage over many neighboring hotspots and over hotspots without many existing witnesses. + +Note I do not specify a maximum number of witnesses but one can be set as desired to limit transaction size and effort required to validate a beacon. + +### Example Reward Distribution +The following tables list the reward distributed to transmitters and witnesses with example chain variables of `N`=4, `r`=0.8. Note `r` of 0.8 was chosen so that 10 additional witnesses above `N` is ~0.9 reward credits. + +| # witnesses | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | +|---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| +| RewardRX per witness | 1.00 | 1.00 | 1.00 | 1.00 | 0.76 | 0.61 | 0.50 | 0.43 | +| RewardTX | 0.25 | 0.50 | 0.75 | 1.00 | 1.20 | 1.36 | 1.49 | 1.59 | + + +| # witnesses | 9 | 10 | 11 | 12 | 13 | 14 | 15 | +|---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| +| RewardRX per witness | 0.37 | 0.33 | 0.29 | 0.26 | 0.24 | 0.22 | 0.21 | +| RewardTX | 1.67 | 1.74 | 1.79 | 1.83 | 1.87 | 1.89 | 1.91 | + +### Witness Distance Limits +A radius `R` (today ~300m) sets the minimum distance for “valid” witnesses. +Only witnesses beyond distance `R` are counted in the reward formulas. +It is left to the implementation whether the challenger should filter out witness receipts that violate this threshold or allow them to be included in beacon receipts which may take the place of witnesses sufficient distance away. +There is no penalty for having nearby witnesses (these can be accounted for in an additional proposal “*Method for geographic based transmit reward scaling*”). + +### Invalid Witnesses Due to RSSI, SNR, or other gaming detection methods + +Unlike nearby witnesses which are excluded even if honest, witness observations that are invalid due to suspect signals means either the transmitter or the witness may be lying about location or some other aspect of coverage. +This cannot simply be dropped since its possible for a gaming hotspot to have many witnesses with most invalid but some still have some “lucky” witnesses with valid signals. +The method of penalizing can change as the methods of evaluating signals change but this section describes a simple method that is compatible with PoC version 10 that is the most recent anti-gaming method active when this HIP is proposed. + +Witness with invalid signal count towards `w` but are given 0 reward. +This mildly penalizes honest witnesses since they are splitting rewards with invalid witnesses, but if the percentage of invalid witnesses for a transmission are low then this penalty is minimal. +If the percentage of invalid witnesses is high then its likely the transmitter is invalid and thus witnessing an invalid transmitter should get a small reward. + +For transmitters, the reward units earned are scaled by the number of valid witnesses divided by all witnesses. +Again, if the transmitter is valid then its likely only a small number of witnesses are invalid and this penalty is small. +If most witnesses are invalid, then its likely the transmitter is invalid and reward should be small. + +### Example Beacon Scenarios +This table gives some examples of rewards distributed for a beacon with varying number of witnesses. + +| Scenario | 12 witnesses | 8 witnesses | 4 witnesses | 2 witnesses | +|---:|:---:|:---:|:---:|:---:| +| Witnesses outside R | 12 | 8 | 4 | 2 | +| Invalid Witnesses | 0 | 0 | 0 | 0 | +| Reward per witness | 0.26 | 0.43 | 1.00 | 1.00 | +| Total RewardRX issued | 3.18 | 3.41 | 4.00 | 2.00 | +| RewardTX issued | 1.83 | 1.59 | 1.00 | 0.50 | +| Total Reward issued | 5.00 | 5.00 | 5.00 | 2.50 | + +This table gives examples of beacons with invalid witnesses + +| Scenario | 12 witns. 2 invalid | 12 witns. 10 invalid | 4 witns. 1 invalid | 4 witns. 3 invalid | +|---:|:---:|:---:|:---:|:---:| +| Witnesses outside R | 12 | 12 | 4 | 4 | +| Invalid Witnesses | 2 | 10 | 1 | 3 | +| Reward per witness | 0.26 | 0.26 | 1.00 | 1.00 | +| Total RewardRX issued | 2.65 | 0.53 | 3.00 | 1.00 | +| Tx Scale | 10/12 (0.83) | 2/12 (0.17) | 3/4 (0.75) | 1/4 (0.25) | +| RewardTX issued | 1.53 | 0.30 | 0.75 | 0.125 | +| Total Reward issued | 4.18 | 0.83 | 3.75 | 1.13 | + + +# Drawbacks +[drawbacks]: #drawbacks + +This will be a considerable implementation effort to change how PoC are constructed and verified. +Also, this change to the reward structure may drastically change how rewards are distributed. +Hotspot owners that optimized for the existing algorithm which has been largely unchanged since Helium’s introduction may find their setups to be suboptimal with the new scheme. +Note I think this is a benefit of the change since the existing system did not reward “good” topologies in favor of “dense” topologies. +It will still cause disruption. + +It may appear that beaconing is less secure since there is no multi-level onion packet. + +I believe this was false security as it is just as easy to distribute raw data received over LoRa to miners whether that is an onion packet or a pseudorandom payload for beaconing. + +Having an intended target chosen from witnesses does not validate the PoC more than simple witnessing. + + +# Rationale and Alternatives +[alternatives]: #rationale-and-alternatives + +Beaconing breaks down the PoC to a more fundamental form of a single transmit and group of receive observations. It allows more direct targeting of hotspots and PoC activity (and corresponding rewards) to be better controlled by targeting methods and not strongly dictated by witness topologies. + +There are many alternatives to this proposal, especially the reward structure. We can keep rewards the same giving significant rewards to beacon transmitters and a small amount to witnesses. I think this would be less optimal since the majority of LoRaWAN interactions are uplinks. + + +# Unresolved Questions +[unresolved]: #unresolved-questions + +**Chain Variables**: This HIP presented a reasonable first guess at chain variables of `N`=4, `r`=0.8 but additional analysis may be required to optimize these numbers + +**Beacon Payload**: This HIP does not specify what the contents of a payload should be. This is left to the implementers, but it could simply be a 0-hop onion packet like is used for beacons today (mainly for witness discovery). Overall, the reward structure is independent of beacon payload. + +**Hotspot Impact Analysis**: The community may want more real-world samples of expected beaconing behavior and reward distribution based on existing witness lists to see how this change will effect reward distribution and if it is desirable (and more importantly healthy for network efficiency and growth). + + +# Deployment Impact +[deployment-impact]: #deployment-impact + +Current users will likely see a significant change in reward distribution based on this change. This will also require a significant update to existing documentation on challenges and reward distribution. Applications such as the phone apps and blockchain explorer will need significant changes to reflect the new PoC structure. The blockchain core will need to be updated to implement beaconing and possibly changes to the ETL and API to reflect this change in behavior and the single PoC reward type. + +Note a lot of the development effort may be mitigated by treating beacons as length-1 multihop PoC, zeroing out witness rewards and moving into PoC percentages and expanding the allowed number of witnesses. This may not be the best beaconing implementation, but it would require the least amount of change to the codebase. + + +# Success Metrics +[success-metrics]: #success-metrics + +Success will be determined on smooth running of beaconing and real-world rewards better going to efficient network coverage. diff --git a/00NN-beaconing-rewards/RewardDistributionHist.png b/00NN-beaconing-rewards/RewardDistributionHist.png new file mode 100644 index 0000000000000000000000000000000000000000..a7e68a4ed351d33cd514b967b3d6186f3211f9db GIT binary patch literal 29585 zcmce;2UL_vw>HWc$AFFsW^?s}_s?fryZeNW+xH2v!BtLf@Jz${OPD^ECzF=hPRng-=S99^ExBJLx=$v+q_tQ5DS2uF?)3*^wO-$B(&~VGo zTfaleOuciT=J?ro&PaV@-gNKGmz^~3C99VPw6ZMSw3OratwZm#0^JMj-UbL+m319$ zJ#IHP7ie|L?ZVb27zte(+j{9O9|a*bgp=O-sbNV zvOHm)GabHU$&#Jgt8et(QTY9>ezQ%TwsA{VI;98itakl++Q&ybB3##O>Aks<*}}rc zRgOwckI%KXb8ztOo~M6LhSuKI)iu29J0|pV+tH=+^73}}_BvPno18j1>Snv>Tpb3} zyT%h-=H#9|dnRnt>lIS`n+4N;Cx&BD72&6MP%CqsX0OyPOm_ukEX>a`Zr&V@dyBLi 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Chy%O; literal 0 HcmV?d00001 From 5175249bfeb94e5591328fda110299a6887598a5 Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Wed, 7 Oct 2020 18:42:17 -0700 Subject: [PATCH 02/19] added HIP proposal for beaconing rewards, initial commit --- 00NN-beaconing-rewards.md | 197 +++ .../RewardDistributionHist.png | Bin 0 -> 29585 bytes .../RewardDistributionHist.svg | 1462 +++++++++++++++++ 00NN-beaconing-rewards/RewardRX_equation.PNG | Bin 0 -> 7731 bytes 00NN-beaconing-rewards/RewardTX_equation.PNG | Bin 0 -> 6733 bytes 5 files changed, 1659 insertions(+) create mode 100644 00NN-beaconing-rewards.md create mode 100644 00NN-beaconing-rewards/RewardDistributionHist.png create mode 100644 00NN-beaconing-rewards/RewardDistributionHist.svg create mode 100644 00NN-beaconing-rewards/RewardRX_equation.PNG create mode 100644 00NN-beaconing-rewards/RewardTX_equation.PNG diff --git a/00NN-beaconing-rewards.md b/00NN-beaconing-rewards.md new file mode 100644 index 000000000..9041ebd04 --- /dev/null +++ b/00NN-beaconing-rewards.md @@ -0,0 +1,197 @@ +# Proposal for Beaconing Rewards + +- Start Date: 2020-10-07 +- HIP PR: +- Tracking Issue: + +# Summary +[summary]: #summary + +This proposal suggests a change to proof-of-coverage (PoC) from multihop to beaconing as well as a change in how PoC is rewarded that combines HNT mining for witnessing and PoC into one pool and gives the bulk of the reward to hotspot witnessing or receiving RF payloads vs transmitting RF payloads. + +# Motivation +[motivation]: #motivation + +The first motivation is to eliminate Multi-hop PoC has many flaws both in complexity of implementation and imbalance of rewards. This proposal wont focus on the flaws with multi-hop PoC because they are fairly well understood and agreed upon. Some main flaws are complexity of path building and receipt verification, poor path reliability, and uneven challenge rates (and corresponding reward distribution) based on network topology. + +Secondly, beaconing with the modified reward structure outlined below does a much better job of rewarding desired coverage. The existing PoC method and reward structure heavily rewards transmitters with minimal rewards for receivers while the vast majority of LoRaWAN usage is for unconfirmed downlinks meaning hotspots mostly receive data. Rewards should be biased towards hotspots that can receive well. + + +# Stakeholders +[stakeholders]: #stakeholders + +All hotspot owners will be affected by this HIP as the reward structure and PoC behavior will undergo a significant change. In general, hotspots that are able to witness many other hotspots are likely to see rewards go up and hotspots that can only witness a few hotspots may see rewards go down. + +The Helium Inc developer team will also need to change sections of the blockchain-core to change how reward distribution is calculated and PoCs are build (although this can be very similar to a length 1 multihop PoC). + +Finally, some chain variables may need updating to introduce new variables described below as well as change the reward distribution percentages. + + +# Detailed Explanation +[detailed-explanation]: #detailed-explanation + +Beaconing behaves a lot like a single hop of PoC but there is no intended target, everyone that can receive a transmission is a witness. +Beacons can be initiated in the same manner as PoC today, where challenger hotspots trigger a hotspot to beacon and gather witness receipts (this works fine if the challenger role is being moved to CG per [Consensus Group PoC Challenges](https://github.com/helium/HIP/pull/41)). +I assume each active hotspot will be targeted uniformly randomly so on average, each hotspot will be challenged the same number of times. + +To determine the rewards given for a beacon I first define a term ***reward unit***. +A reward unit is not a defined amount of HNT but a slice of the available PoC rewards for each epoch. +So, for example if there are 1,000 HNT to be rewarded for PoC activity and there are 100 reward units from all PoC activity, each reward unit will get 10 HNT. +If there are 5,000 reward units in an epoch, each unit will get 0.2 HNT. +This is very similar to how PoC and witness rewards are distributed today, where the value of each witness varies epoch to epoch depending on how many witnesses there were. + +The formulas below and example plot show how the number of reward units is calculated and distributed among the transmitter and witnesses for each beacon. + +### Reward Formula for beaconing +Definitions: + + - `w` = Number of witnesses to a transmission + - `N` = Desired redundancy. `N`+1 hotspots cover an area + - `r` = decay rate for additional transmitter reward if `w` > `N`. + + Reward formula for Transmitter: + + ![image RewardTX formula](./00NN-beaconing-rewards/RewardTX_equation.PNG) + + Reward Formula for each Receiver: + + ![image RewardRX formula](./00NN-beaconing-rewards/RewardTX_equation.PNG) + + + A chart showing reward distribution basd on the formulas listed above with example values of `N`=4 and `r`=0.8: + ![image Reward distribution](./00NN-beaconing-rewards/RewardDistributionHist.svg) + + + +There are 3 regions in this reward distribution described below: + +#### w < N +For each beacon challenge there is desired number of witnesses which should be set by chain variable `N`. +This number should be >1 because we want redundant RF coverage since hotspots are “unreliable” as compared to enterprise gateways like cell towers. +If the number of witnesses (`w`) is less than `N`, then this area is under desired coverage. +Each witness gets a full 1-unit of reward for providing needed coverage, the transmitter receives a fraction of a reward unit proportionally based on the number of witnesses. +This encourages the transmitter to broadcast as powerfully and broadly as possible. + +#### w = N +At this point we have ideal redundant coverage based on the chain variables. +The transmitter gets 1 unit of reward and each witness gets 1 unit of reward. +In total there are `N`+1 units of reward given for this beacon with each participant getting 1 unit. + +#### w > N +If the number of witnesses is greater than desired, we have too much coverage for this transmitter. +We still want to encourage the transmitter to transmit as wide reaching as possible to expose this over-coverage, so we give a small portion of the witness rewards to the transmitter up to 1 additional unit of rewards. +For witnesses they all split the pool of reward units remaining for witnesses. +This means the total reward given to all participants remains at `N`+1 so there is no significant gain to be had by having the number of witnesses way above `N`. +This reward structure still encourages witnesses to report receipts as even though they get a smaller and smaller slice of reward they still get rewarded so greedy witnesses will want to witness as many transmissions as possible. + +Overall, this method should encourage greedy transmitters to transmit as powerfully and with as much coverage as possible and witnesses to receive as many transmissions as possible and deliver witness receipts. +Thus each hotspot is motivated to provide as much coverage as possible without over-rewarding redundant coverage. +This reward structure does a much better job of giving rewards to “good” coverage meaning coverage over many neighboring hotspots and over hotspots without many existing witnesses. + +Note I do not specify a maximum number of witnesses but one can be set as desired to limit transaction size and effort required to validate a beacon. + +### Example Reward Distribution +The following tables list the reward distributed to transmitters and witnesses with example chain variables of `N`=4, `r`=0.8. Note `r` of 0.8 was chosen so that 10 additional witnesses above `N` is ~0.9 reward credits. + +| # witnesses | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | +|---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| +| RewardRX per witness | 1.00 | 1.00 | 1.00 | 1.00 | 0.76 | 0.61 | 0.50 | 0.43 | +| RewardTX | 0.25 | 0.50 | 0.75 | 1.00 | 1.20 | 1.36 | 1.49 | 1.59 | + + +| # witnesses | 9 | 10 | 11 | 12 | 13 | 14 | 15 | +|---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| +| RewardRX per witness | 0.37 | 0.33 | 0.29 | 0.26 | 0.24 | 0.22 | 0.21 | +| RewardTX | 1.67 | 1.74 | 1.79 | 1.83 | 1.87 | 1.89 | 1.91 | + +### Witness Distance Limits +A radius `R` (today ~300m) sets the minimum distance for “valid” witnesses. +Only witnesses beyond distance `R` are counted in the reward formulas. +It is left to the implementation whether the challenger should filter out witness receipts that violate this threshold or allow them to be included in beacon receipts which may take the place of witnesses sufficient distance away. +There is no penalty for having nearby witnesses (these can be accounted for in an additional proposal “*Method for geographic based transmit reward scaling*”). + +### Invalid Witnesses Due to RSSI, SNR, or other gaming detection methods + +Unlike nearby witnesses which are excluded even if honest, witness observations that are invalid due to suspect signals means either the transmitter or the witness may be lying about location or some other aspect of coverage. +This cannot simply be dropped since its possible for a gaming hotspot to have many witnesses with most invalid but some still have some “lucky” witnesses with valid signals. +The method of penalizing can change as the methods of evaluating signals change but this section describes a simple method that is compatible with PoC version 10 that is the most recent anti-gaming method active when this HIP is proposed. + +Witness with invalid signal count towards `w` but are given 0 reward. +This mildly penalizes honest witnesses since they are splitting rewards with invalid witnesses, but if the percentage of invalid witnesses for a transmission are low then this penalty is minimal. +If the percentage of invalid witnesses is high then its likely the transmitter is invalid and thus witnessing an invalid transmitter should get a small reward. + +For transmitters, the reward units earned are scaled by the number of valid witnesses divided by all witnesses. +Again, if the transmitter is valid then its likely only a small number of witnesses are invalid and this penalty is small. +If most witnesses are invalid, then its likely the transmitter is invalid and reward should be small. + +### Example Beacon Scenarios +This table gives some examples of rewards distributed for a beacon with varying number of witnesses. + +| Scenario | 12 witnesses | 8 witnesses | 4 witnesses | 2 witnesses | +|---:|:---:|:---:|:---:|:---:| +| Witnesses outside R | 12 | 8 | 4 | 2 | +| Invalid Witnesses | 0 | 0 | 0 | 0 | +| Reward per witness | 0.26 | 0.43 | 1.00 | 1.00 | +| Total RewardRX issued | 3.18 | 3.41 | 4.00 | 2.00 | +| RewardTX issued | 1.83 | 1.59 | 1.00 | 0.50 | +| Total Reward issued | 5.00 | 5.00 | 5.00 | 2.50 | + +This table gives examples of beacons with invalid witnesses + +| Scenario | 12 witns. 2 invalid | 12 witns. 10 invalid | 4 witns. 1 invalid | 4 witns. 3 invalid | +|---:|:---:|:---:|:---:|:---:| +| Witnesses outside R | 12 | 12 | 4 | 4 | +| Invalid Witnesses | 2 | 10 | 1 | 3 | +| Reward per witness | 0.26 | 0.26 | 1.00 | 1.00 | +| Total RewardRX issued | 2.65 | 0.53 | 3.00 | 1.00 | +| Tx Scale | 10/12 (0.83) | 2/12 (0.17) | 3/4 (0.75) | 1/4 (0.25) | +| RewardTX issued | 1.53 | 0.30 | 0.75 | 0.125 | +| Total Reward issued | 4.18 | 0.83 | 3.75 | 1.13 | + + +# Drawbacks +[drawbacks]: #drawbacks + +This will be a considerable implementation effort to change how PoC are constructed and verified. +Also, this change to the reward structure may drastically change how rewards are distributed. +Hotspot owners that optimized for the existing algorithm which has been largely unchanged since Helium’s introduction may find their setups to be suboptimal with the new scheme. +Note I think this is a benefit of the change since the existing system did not reward “good” topologies in favor of “dense” topologies. +It will still cause disruption. + +It may appear that beaconing is less secure since there is no multi-level onion packet. + +I believe this was false security as it is just as easy to distribute raw data received over LoRa to miners whether that is an onion packet or a pseudorandom payload for beaconing. + +Having an intended target chosen from witnesses does not validate the PoC more than simple witnessing. + + +# Rationale and Alternatives +[alternatives]: #rationale-and-alternatives + +Beaconing breaks down the PoC to a more fundamental form of a single transmit and group of receive observations. It allows more direct targeting of hotspots and PoC activity (and corresponding rewards) to be better controlled by targeting methods and not strongly dictated by witness topologies. + +There are many alternatives to this proposal, especially the reward structure. We can keep rewards the same giving significant rewards to beacon transmitters and a small amount to witnesses. I think this would be less optimal since the majority of LoRaWAN interactions are uplinks. + + +# Unresolved Questions +[unresolved]: #unresolved-questions + +**Chain Variables**: This HIP presented a reasonable first guess at chain variables of `N`=4, `r`=0.8 but additional analysis may be required to optimize these numbers + +**Beacon Payload**: This HIP does not specify what the contents of a payload should be. This is left to the implementers, but it could simply be a 0-hop onion packet like is used for beacons today (mainly for witness discovery). Overall, the reward structure is independent of beacon payload. + +**Hotspot Impact Analysis**: The community may want more real-world samples of expected beaconing behavior and reward distribution based on existing witness lists to see how this change will effect reward distribution and if it is desirable (and more importantly healthy for network efficiency and growth). + + +# Deployment Impact +[deployment-impact]: #deployment-impact + +Current users will likely see a significant change in reward distribution based on this change. This will also require a significant update to existing documentation on challenges and reward distribution. Applications such as the phone apps and blockchain explorer will need significant changes to reflect the new PoC structure. The blockchain core will need to be updated to implement beaconing and possibly changes to the ETL and API to reflect this change in behavior and the single PoC reward type. + +Note a lot of the development effort may be mitigated by treating beacons as length-1 multihop PoC, zeroing out witness rewards and moving into PoC percentages and expanding the allowed number of witnesses. This may not be the best beaconing implementation, but it would require the least amount of change to the codebase. + + +# Success Metrics +[success-metrics]: #success-metrics + +Success will be determined on smooth running of beaconing and real-world rewards better going to efficient network coverage. diff --git a/00NN-beaconing-rewards/RewardDistributionHist.png b/00NN-beaconing-rewards/RewardDistributionHist.png new file mode 100644 index 0000000000000000000000000000000000000000..a7e68a4ed351d33cd514b967b3d6186f3211f9db GIT binary patch literal 29585 zcmce;2UL_vw>HWc$AFFsW^?s}_s?fryZeNW+xH2v!BtLf@Jz${OPD^ECzF=hPRng-=S99^ExBJLx=$v+q_tQ5DS2uF?)3*^wO-$B(&~VGo zTfaleOuciT=J?ro&PaV@-gNKGmz^~3C99VPw6ZMSw3OratwZm#0^JMj-UbL+m319$ zJ#IHP7ie|L?ZVb27zte(+j{9O9|a*bgp=O-sbNV zvOHm)GabHU$&#Jgt8et(QTY9>ezQ%TwsA{VI;98itakl++Q&ybB3##O>Aks<*}}rc zRgOwckI%KXb8ztOo~M6LhSuKI)iu29J0|pV+tH=+^73}}_BvPno18j1>Snv>Tpb3} zyT%h-=H#9|dnRnt>lIS`n+4N;Cx&BD72&6MP%CqsX0OyPOm_ukEX>a`Zr&V@dyBLi 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Chy%O; literal 0 HcmV?d00001 From 99750dd4667b83ccffeae9b0792f0478352456cc Mon Sep 17 00:00:00 2001 From: Jamie Wilkinson Date: Wed, 7 Oct 2020 23:11:53 -0400 Subject: [PATCH 03/19] Update metadata --- ...eaconing-rewards.md => 0015-beaconing-rewards.md | 8 +++++--- .../RewardDistributionHist.png | Bin .../RewardDistributionHist.svg | 0 .../RewardRX_equation.PNG | Bin .../RewardTX_equation.PNG | Bin 5 files changed, 5 insertions(+), 3 deletions(-) rename 00NN-beaconing-rewards.md => 0015-beaconing-rewards.md (98%) rename {00NN-beaconing-rewards => 0015-beaconing-rewards}/RewardDistributionHist.png (100%) rename {00NN-beaconing-rewards => 0015-beaconing-rewards}/RewardDistributionHist.svg (100%) rename {00NN-beaconing-rewards => 0015-beaconing-rewards}/RewardRX_equation.PNG (100%) rename {00NN-beaconing-rewards => 0015-beaconing-rewards}/RewardTX_equation.PNG (100%) diff --git a/00NN-beaconing-rewards.md b/0015-beaconing-rewards.md similarity index 98% rename from 00NN-beaconing-rewards.md rename to 0015-beaconing-rewards.md index 9041ebd04..2547278c9 100644 --- a/00NN-beaconing-rewards.md +++ b/0015-beaconing-rewards.md @@ -1,8 +1,10 @@ -# Proposal for Beaconing Rewards +# HIP15: Beaconing Rewards +- Author: [@Carniverous19](https://github.com/Carniverous19) - Start Date: 2020-10-07 -- HIP PR: -- Tracking Issue: +- Category: Technical +- Original HIP PR: [#49](https://github.com/helium/HIP/pull/49) +- Tracking Issue: [#51](https://github.com/helium/HIP/issues/51) # Summary [summary]: #summary diff --git a/00NN-beaconing-rewards/RewardDistributionHist.png b/0015-beaconing-rewards/RewardDistributionHist.png similarity index 100% rename from 00NN-beaconing-rewards/RewardDistributionHist.png rename to 0015-beaconing-rewards/RewardDistributionHist.png diff --git a/00NN-beaconing-rewards/RewardDistributionHist.svg b/0015-beaconing-rewards/RewardDistributionHist.svg similarity index 100% rename from 00NN-beaconing-rewards/RewardDistributionHist.svg rename to 0015-beaconing-rewards/RewardDistributionHist.svg diff --git a/00NN-beaconing-rewards/RewardRX_equation.PNG b/0015-beaconing-rewards/RewardRX_equation.PNG similarity index 100% rename from 00NN-beaconing-rewards/RewardRX_equation.PNG rename to 0015-beaconing-rewards/RewardRX_equation.PNG diff --git a/00NN-beaconing-rewards/RewardTX_equation.PNG b/0015-beaconing-rewards/RewardTX_equation.PNG similarity index 100% rename from 00NN-beaconing-rewards/RewardTX_equation.PNG rename to 0015-beaconing-rewards/RewardTX_equation.PNG From fa7b5bed4f8257b847faf0c36a98eeda8254cc3e Mon Sep 17 00:00:00 2001 From: Jamie Wilkinson Date: Wed, 7 Oct 2020 23:13:14 -0400 Subject: [PATCH 04/19] Add HIP15 to table of contents --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 84695a922..98c75cd0e 100644 --- a/README.md +++ b/README.md @@ -26,3 +26,4 @@ If you have questions or feedback, please ask in [#hips in the community Discord | 12 | [Remote location assertion](https://github.com/helium/HIP/blob/master/0012-remote-location-assert.md) | [In Discussion](https://github.com/helium/HIP/issues/39) | | 13 | [Transfer hotspot](https://github.com/helium/HIP/blob/master/0013-transfer-hotspot.md) | [In Discussion](https://github.com/helium/HIP/issues/43) | | 14 | [PoC Ripple Method](https://github.com/helium/HIP/blob/master/0014-poc-ripple-method.md) | [In Discussion](https://github.com/helium/HIP/issues/50) | +| 15 | [Beaconing Rewards](https://github.com/helium/HIP/blob/master/0015-beaconing-rewards.md) | [In Discussion](https://github.com/helium/HIP/issues/51) | From 1899e9271013c06ceef1ffc8e72e6e6710c7d07d Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Wed, 7 Oct 2020 21:40:22 -0700 Subject: [PATCH 05/19] fixed link for RewardRX formula, was same as TX --- 00NN-beaconing-rewards.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/00NN-beaconing-rewards.md b/00NN-beaconing-rewards.md index 9041ebd04..713a68ca2 100644 --- a/00NN-beaconing-rewards.md +++ b/00NN-beaconing-rewards.md @@ -55,7 +55,7 @@ Definitions: Reward Formula for each Receiver: - ![image RewardRX formula](./00NN-beaconing-rewards/RewardTX_equation.PNG) + ![image RewardRX formula](./00NN-beaconing-rewards/RewardRX_equation.PNG) A chart showing reward distribution basd on the formulas listed above with example values of `N`=4 and `r`=0.8: From ad120acf1af332fc90eeaca20c51ca6a02ce2bf9 Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Wed, 7 Oct 2020 21:48:07 -0700 Subject: [PATCH 06/19] fixed link for RewardRX formula, was same as TX --- 0015-beaconing-rewards.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/0015-beaconing-rewards.md b/0015-beaconing-rewards.md index 7f11a52cc..50bb926cd 100644 --- a/0015-beaconing-rewards.md +++ b/0015-beaconing-rewards.md @@ -57,7 +57,7 @@ Definitions: Reward Formula for each Receiver: - ![image RewardRX formula](./0015-beaconing-rewards/RewardTX_equation.PNG) + ![image RewardRX formula](./0015-beaconing-rewards/RewardRX_equation.PNG) A chart showing reward distribution basd on the formulas listed above with example values of `N`=4 and `r`=0.8: From ba62de273bb2484b9ead7eb9a23aa926e66a6612 Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Wed, 7 Oct 2020 21:50:54 -0700 Subject: [PATCH 07/19] fixed link for RewardRX formula, was same as TX, also removed unnumbered draft files from branch --- 00NN-beaconing-rewards.md | 197 --- .../RewardDistributionHist.png | Bin 29585 -> 0 bytes .../RewardDistributionHist.svg | 1462 ----------------- 00NN-beaconing-rewards/RewardRX_equation.PNG | Bin 7731 -> 0 bytes 00NN-beaconing-rewards/RewardTX_equation.PNG | Bin 6733 -> 0 bytes 5 files changed, 1659 deletions(-) delete mode 100644 00NN-beaconing-rewards.md delete mode 100644 00NN-beaconing-rewards/RewardDistributionHist.png delete mode 100644 00NN-beaconing-rewards/RewardDistributionHist.svg delete mode 100644 00NN-beaconing-rewards/RewardRX_equation.PNG delete mode 100644 00NN-beaconing-rewards/RewardTX_equation.PNG diff --git a/00NN-beaconing-rewards.md b/00NN-beaconing-rewards.md deleted file mode 100644 index 713a68ca2..000000000 --- a/00NN-beaconing-rewards.md +++ /dev/null @@ -1,197 +0,0 @@ -# Proposal for Beaconing Rewards - -- Start Date: 2020-10-07 -- HIP PR: -- Tracking Issue: - -# Summary -[summary]: #summary - -This proposal suggests a change to proof-of-coverage (PoC) from multihop to beaconing as well as a change in how PoC is rewarded that combines HNT mining for witnessing and PoC into one pool and gives the bulk of the reward to hotspot witnessing or receiving RF payloads vs transmitting RF payloads. - -# Motivation -[motivation]: #motivation - -The first motivation is to eliminate Multi-hop PoC has many flaws both in complexity of implementation and imbalance of rewards. This proposal wont focus on the flaws with multi-hop PoC because they are fairly well understood and agreed upon. Some main flaws are complexity of path building and receipt verification, poor path reliability, and uneven challenge rates (and corresponding reward distribution) based on network topology. - -Secondly, beaconing with the modified reward structure outlined below does a much better job of rewarding desired coverage. The existing PoC method and reward structure heavily rewards transmitters with minimal rewards for receivers while the vast majority of LoRaWAN usage is for unconfirmed downlinks meaning hotspots mostly receive data. Rewards should be biased towards hotspots that can receive well. - - -# Stakeholders -[stakeholders]: #stakeholders - -All hotspot owners will be affected by this HIP as the reward structure and PoC behavior will undergo a significant change. In general, hotspots that are able to witness many other hotspots are likely to see rewards go up and hotspots that can only witness a few hotspots may see rewards go down. - -The Helium Inc developer team will also need to change sections of the blockchain-core to change how reward distribution is calculated and PoCs are build (although this can be very similar to a length 1 multihop PoC). - -Finally, some chain variables may need updating to introduce new variables described below as well as change the reward distribution percentages. - - -# Detailed Explanation -[detailed-explanation]: #detailed-explanation - -Beaconing behaves a lot like a single hop of PoC but there is no intended target, everyone that can receive a transmission is a witness. -Beacons can be initiated in the same manner as PoC today, where challenger hotspots trigger a hotspot to beacon and gather witness receipts (this works fine if the challenger role is being moved to CG per [Consensus Group PoC Challenges](https://github.com/helium/HIP/pull/41)). -I assume each active hotspot will be targeted uniformly randomly so on average, each hotspot will be challenged the same number of times. - -To determine the rewards given for a beacon I first define a term ***reward unit***. -A reward unit is not a defined amount of HNT but a slice of the available PoC rewards for each epoch. -So, for example if there are 1,000 HNT to be rewarded for PoC activity and there are 100 reward units from all PoC activity, each reward unit will get 10 HNT. -If there are 5,000 reward units in an epoch, each unit will get 0.2 HNT. -This is very similar to how PoC and witness rewards are distributed today, where the value of each witness varies epoch to epoch depending on how many witnesses there were. - -The formulas below and example plot show how the number of reward units is calculated and distributed among the transmitter and witnesses for each beacon. - -### Reward Formula for beaconing -Definitions: - - - `w` = Number of witnesses to a transmission - - `N` = Desired redundancy. `N`+1 hotspots cover an area - - `r` = decay rate for additional transmitter reward if `w` > `N`. - - Reward formula for Transmitter: - - ![image RewardTX formula](./00NN-beaconing-rewards/RewardTX_equation.PNG) - - Reward Formula for each Receiver: - - ![image RewardRX formula](./00NN-beaconing-rewards/RewardRX_equation.PNG) - - - A chart showing reward distribution basd on the formulas listed above with example values of `N`=4 and `r`=0.8: - ![image Reward distribution](./00NN-beaconing-rewards/RewardDistributionHist.svg) - - - -There are 3 regions in this reward distribution described below: - -#### w < N -For each beacon challenge there is desired number of witnesses which should be set by chain variable `N`. -This number should be >1 because we want redundant RF coverage since hotspots are “unreliable” as compared to enterprise gateways like cell towers. -If the number of witnesses (`w`) is less than `N`, then this area is under desired coverage. -Each witness gets a full 1-unit of reward for providing needed coverage, the transmitter receives a fraction of a reward unit proportionally based on the number of witnesses. -This encourages the transmitter to broadcast as powerfully and broadly as possible. - -#### w = N -At this point we have ideal redundant coverage based on the chain variables. -The transmitter gets 1 unit of reward and each witness gets 1 unit of reward. -In total there are `N`+1 units of reward given for this beacon with each participant getting 1 unit. - -#### w > N -If the number of witnesses is greater than desired, we have too much coverage for this transmitter. -We still want to encourage the transmitter to transmit as wide reaching as possible to expose this over-coverage, so we give a small portion of the witness rewards to the transmitter up to 1 additional unit of rewards. -For witnesses they all split the pool of reward units remaining for witnesses. -This means the total reward given to all participants remains at `N`+1 so there is no significant gain to be had by having the number of witnesses way above `N`. -This reward structure still encourages witnesses to report receipts as even though they get a smaller and smaller slice of reward they still get rewarded so greedy witnesses will want to witness as many transmissions as possible. - -Overall, this method should encourage greedy transmitters to transmit as powerfully and with as much coverage as possible and witnesses to receive as many transmissions as possible and deliver witness receipts. -Thus each hotspot is motivated to provide as much coverage as possible without over-rewarding redundant coverage. -This reward structure does a much better job of giving rewards to “good” coverage meaning coverage over many neighboring hotspots and over hotspots without many existing witnesses. - -Note I do not specify a maximum number of witnesses but one can be set as desired to limit transaction size and effort required to validate a beacon. - -### Example Reward Distribution -The following tables list the reward distributed to transmitters and witnesses with example chain variables of `N`=4, `r`=0.8. Note `r` of 0.8 was chosen so that 10 additional witnesses above `N` is ~0.9 reward credits. - -| # witnesses | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | -|---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| -| RewardRX per witness | 1.00 | 1.00 | 1.00 | 1.00 | 0.76 | 0.61 | 0.50 | 0.43 | -| RewardTX | 0.25 | 0.50 | 0.75 | 1.00 | 1.20 | 1.36 | 1.49 | 1.59 | - - -| # witnesses | 9 | 10 | 11 | 12 | 13 | 14 | 15 | -|---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| -| RewardRX per witness | 0.37 | 0.33 | 0.29 | 0.26 | 0.24 | 0.22 | 0.21 | -| RewardTX | 1.67 | 1.74 | 1.79 | 1.83 | 1.87 | 1.89 | 1.91 | - -### Witness Distance Limits -A radius `R` (today ~300m) sets the minimum distance for “valid” witnesses. -Only witnesses beyond distance `R` are counted in the reward formulas. -It is left to the implementation whether the challenger should filter out witness receipts that violate this threshold or allow them to be included in beacon receipts which may take the place of witnesses sufficient distance away. -There is no penalty for having nearby witnesses (these can be accounted for in an additional proposal “*Method for geographic based transmit reward scaling*”). - -### Invalid Witnesses Due to RSSI, SNR, or other gaming detection methods - -Unlike nearby witnesses which are excluded even if honest, witness observations that are invalid due to suspect signals means either the transmitter or the witness may be lying about location or some other aspect of coverage. -This cannot simply be dropped since its possible for a gaming hotspot to have many witnesses with most invalid but some still have some “lucky” witnesses with valid signals. -The method of penalizing can change as the methods of evaluating signals change but this section describes a simple method that is compatible with PoC version 10 that is the most recent anti-gaming method active when this HIP is proposed. - -Witness with invalid signal count towards `w` but are given 0 reward. -This mildly penalizes honest witnesses since they are splitting rewards with invalid witnesses, but if the percentage of invalid witnesses for a transmission are low then this penalty is minimal. -If the percentage of invalid witnesses is high then its likely the transmitter is invalid and thus witnessing an invalid transmitter should get a small reward. - -For transmitters, the reward units earned are scaled by the number of valid witnesses divided by all witnesses. -Again, if the transmitter is valid then its likely only a small number of witnesses are invalid and this penalty is small. -If most witnesses are invalid, then its likely the transmitter is invalid and reward should be small. - -### Example Beacon Scenarios -This table gives some examples of rewards distributed for a beacon with varying number of witnesses. - -| Scenario | 12 witnesses | 8 witnesses | 4 witnesses | 2 witnesses | -|---:|:---:|:---:|:---:|:---:| -| Witnesses outside R | 12 | 8 | 4 | 2 | -| Invalid Witnesses | 0 | 0 | 0 | 0 | -| Reward per witness | 0.26 | 0.43 | 1.00 | 1.00 | -| Total RewardRX issued | 3.18 | 3.41 | 4.00 | 2.00 | -| RewardTX issued | 1.83 | 1.59 | 1.00 | 0.50 | -| Total Reward issued | 5.00 | 5.00 | 5.00 | 2.50 | - -This table gives examples of beacons with invalid witnesses - -| Scenario | 12 witns. 2 invalid | 12 witns. 10 invalid | 4 witns. 1 invalid | 4 witns. 3 invalid | -|---:|:---:|:---:|:---:|:---:| -| Witnesses outside R | 12 | 12 | 4 | 4 | -| Invalid Witnesses | 2 | 10 | 1 | 3 | -| Reward per witness | 0.26 | 0.26 | 1.00 | 1.00 | -| Total RewardRX issued | 2.65 | 0.53 | 3.00 | 1.00 | -| Tx Scale | 10/12 (0.83) | 2/12 (0.17) | 3/4 (0.75) | 1/4 (0.25) | -| RewardTX issued | 1.53 | 0.30 | 0.75 | 0.125 | -| Total Reward issued | 4.18 | 0.83 | 3.75 | 1.13 | - - -# Drawbacks -[drawbacks]: #drawbacks - -This will be a considerable implementation effort to change how PoC are constructed and verified. -Also, this change to the reward structure may drastically change how rewards are distributed. -Hotspot owners that optimized for the existing algorithm which has been largely unchanged since Helium’s introduction may find their setups to be suboptimal with the new scheme. -Note I think this is a benefit of the change since the existing system did not reward “good” topologies in favor of “dense” topologies. -It will still cause disruption. - -It may appear that beaconing is less secure since there is no multi-level onion packet. - -I believe this was false security as it is just as easy to distribute raw data received over LoRa to miners whether that is an onion packet or a pseudorandom payload for beaconing. - -Having an intended target chosen from witnesses does not validate the PoC more than simple witnessing. - - -# Rationale and Alternatives -[alternatives]: #rationale-and-alternatives - -Beaconing breaks down the PoC to a more fundamental form of a single transmit and group of receive observations. It allows more direct targeting of hotspots and PoC activity (and corresponding rewards) to be better controlled by targeting methods and not strongly dictated by witness topologies. - -There are many alternatives to this proposal, especially the reward structure. We can keep rewards the same giving significant rewards to beacon transmitters and a small amount to witnesses. I think this would be less optimal since the majority of LoRaWAN interactions are uplinks. - - -# Unresolved Questions -[unresolved]: #unresolved-questions - -**Chain Variables**: This HIP presented a reasonable first guess at chain variables of `N`=4, `r`=0.8 but additional analysis may be required to optimize these numbers - -**Beacon Payload**: This HIP does not specify what the contents of a payload should be. This is left to the implementers, but it could simply be a 0-hop onion packet like is used for beacons today (mainly for witness discovery). Overall, the reward structure is independent of beacon payload. - -**Hotspot Impact Analysis**: The community may want more real-world samples of expected beaconing behavior and reward distribution based on existing witness lists to see how this change will effect reward distribution and if it is desirable (and more importantly healthy for network efficiency and growth). - - -# Deployment Impact -[deployment-impact]: #deployment-impact - -Current users will likely see a significant change in reward distribution based on this change. This will also require a significant update to existing documentation on challenges and reward distribution. Applications such as the phone apps and blockchain explorer will need significant changes to reflect the new PoC structure. The blockchain core will need to be updated to implement beaconing and possibly changes to the ETL and API to reflect this change in behavior and the single PoC reward type. - -Note a lot of the development effort may be mitigated by treating beacons as length-1 multihop PoC, zeroing out witness rewards and moving into PoC percentages and expanding the allowed number of witnesses. This may not be the best beaconing implementation, but it would require the least amount of change to the codebase. - - -# Success Metrics -[success-metrics]: #success-metrics - -Success will be determined on smooth running of beaconing and real-world rewards better going to efficient network coverage. diff --git a/00NN-beaconing-rewards/RewardDistributionHist.png b/00NN-beaconing-rewards/RewardDistributionHist.png deleted file mode 100644 index a7e68a4ed351d33cd514b967b3d6186f3211f9db..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 29585 zcmce;2UL_vw>HWc$AFFsW^?s}_s?fryZeNW+xH2v!BtLf@Jz${OPD^ECzF=hPRng-=S99^ExBJLx=$v+q_tQ5DS2uF?)3*^wO-$B(&~VGo zTfaleOuciT=J?ro&PaV@-gNKGmz^~3C99VPw6ZMSw3OratwZm#0^JMj-UbL+m319$ zJ#IHP7ie|L?ZVb27zte(+j{9O9|a*bgp=O-sbNV zvOHm)GabHU$&#Jgt8et(QTY9>ezQ%TwsA{VI;98itakl++Q&ybB3##O>Aks<*}}rc zRgOwckI%KXb8ztOo~M6LhSuKI)iu29J0|pV+tH=+^73}}_BvPno18j1>Snv>Tpb3} 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Chy%O; From c0c24b3b2cf0590d71a3b16b52f435a54806648b Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Wed, 7 Oct 2020 23:57:03 -0700 Subject: [PATCH 08/19] grammar fixes and erroneous table entry for 4 wit, 3 invalid. --- 0015-beaconing-rewards.md | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/0015-beaconing-rewards.md b/0015-beaconing-rewards.md index 50bb926cd..e0a8a6b5b 100644 --- a/0015-beaconing-rewards.md +++ b/0015-beaconing-rewards.md @@ -16,7 +16,7 @@ This proposal suggests a change to proof-of-coverage (PoC) from multihop to beac The first motivation is to eliminate Multi-hop PoC has many flaws both in complexity of implementation and imbalance of rewards. This proposal wont focus on the flaws with multi-hop PoC because they are fairly well understood and agreed upon. Some main flaws are complexity of path building and receipt verification, poor path reliability, and uneven challenge rates (and corresponding reward distribution) based on network topology. -Secondly, beaconing with the modified reward structure outlined below does a much better job of rewarding desired coverage. The existing PoC method and reward structure heavily rewards transmitters with minimal rewards for receivers while the vast majority of LoRaWAN usage is for unconfirmed downlinks meaning hotspots mostly receive data. Rewards should be biased towards hotspots that can receive well. +Secondly, beaconing with the modified reward structure outlined below does a much better job of rewarding desired coverage. The existing PoC method and reward structure heavily rewards transmitters with minimal rewards for receivers while the vast majority of LoRaWAN usage is for unconfirmed uplinks meaning hotspots mostly receive data. Rewards should be biased towards hotspots that can receive well. # Stakeholders @@ -36,7 +36,7 @@ Beaconing behaves a lot like a single hop of PoC but there is no intended target Beacons can be initiated in the same manner as PoC today, where challenger hotspots trigger a hotspot to beacon and gather witness receipts (this works fine if the challenger role is being moved to CG per [Consensus Group PoC Challenges](https://github.com/helium/HIP/pull/41)). I assume each active hotspot will be targeted uniformly randomly so on average, each hotspot will be challenged the same number of times. -To determine the rewards given for a beacon I first define a term ***reward unit***. +To determine the rewards given for a beacon, first define a term ***reward unit***. A reward unit is not a defined amount of HNT but a slice of the available PoC rewards for each epoch. So, for example if there are 1,000 HNT to be rewarded for PoC activity and there are 100 reward units from all PoC activity, each reward unit will get 10 HNT. If there are 5,000 reward units in an epoch, each unit will get 0.2 HNT. @@ -48,7 +48,7 @@ The formulas below and example plot show how the number of reward units is calcu Definitions: - `w` = Number of witnesses to a transmission - - `N` = Desired redundancy. `N`+1 hotspots cover an area + - `N` = Desired redundancy. `N`+1 hotspots cover an area (transmitter also covers area) - `r` = decay rate for additional transmitter reward if `w` > `N`. Reward formula for Transmitter: @@ -90,7 +90,7 @@ Overall, this method should encourage greedy transmitters to transmit as powerfu Thus each hotspot is motivated to provide as much coverage as possible without over-rewarding redundant coverage. This reward structure does a much better job of giving rewards to “good” coverage meaning coverage over many neighboring hotspots and over hotspots without many existing witnesses. -Note I do not specify a maximum number of witnesses but one can be set as desired to limit transaction size and effort required to validate a beacon. +Note: There is not a maximum number of witnesses but one can set a limit to cap the transaction size and effort required to validate a beacon. ### Example Reward Distribution The following tables list the reward distributed to transmitters and witnesses with example chain variables of `N`=4, `r`=0.8. Note `r` of 0.8 was chosen so that 10 additional witnesses above `N` is ~0.9 reward credits. @@ -147,8 +147,8 @@ This table gives examples of beacons with invalid witnesses | Reward per witness | 0.26 | 0.26 | 1.00 | 1.00 | | Total RewardRX issued | 2.65 | 0.53 | 3.00 | 1.00 | | Tx Scale | 10/12 (0.83) | 2/12 (0.17) | 3/4 (0.75) | 1/4 (0.25) | -| RewardTX issued | 1.53 | 0.30 | 0.75 | 0.125 | -| Total Reward issued | 4.18 | 0.83 | 3.75 | 1.13 | +| RewardTX issued | 1.53 | 0.30 | 0.75 | 0.25 | +| Total Reward issued | 4.18 | 0.83 | 3.75 | 1.25 | # Drawbacks From a78d784edf6b4f00b08a672b04054902a2c6ed61 Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Thu, 8 Oct 2020 02:01:00 -0700 Subject: [PATCH 09/19] edits for clarity / rewording --- 0015-beaconing-rewards.md | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/0015-beaconing-rewards.md b/0015-beaconing-rewards.md index e0a8a6b5b..2edda8f96 100644 --- a/0015-beaconing-rewards.md +++ b/0015-beaconing-rewards.md @@ -14,10 +14,13 @@ This proposal suggests a change to proof-of-coverage (PoC) from multihop to beac # Motivation [motivation]: #motivation -The first motivation is to eliminate Multi-hop PoC has many flaws both in complexity of implementation and imbalance of rewards. This proposal wont focus on the flaws with multi-hop PoC because they are fairly well understood and agreed upon. Some main flaws are complexity of path building and receipt verification, poor path reliability, and uneven challenge rates (and corresponding reward distribution) based on network topology. - -Secondly, beaconing with the modified reward structure outlined below does a much better job of rewarding desired coverage. The existing PoC method and reward structure heavily rewards transmitters with minimal rewards for receivers while the vast majority of LoRaWAN usage is for unconfirmed uplinks meaning hotspots mostly receive data. Rewards should be biased towards hotspots that can receive well. +Beaconing with the modified reward structure outlined below does a much better job of rewarding desired coverage. +The existing PoC method and reward structure heavily rewards transmitters with minimal rewards for receivers while the vast majority of LoRaWAN usage is for unconfirmed uplinks, meaning hotspots mostly receive data. +This reward structure better rewards real coverage and encourages honest hotspot owners to see maximized rewards as they build towards efficient network topologies. +Beaconing, reardless of reward structures allows the elminination of Multi-hop PoC. Multihop PoC significantly more complex than beaconing requiring complex path building and path verification, +Significant overhread of building long paths that never complete (due to hop reliability being low). Large payload sizes that are a-typical for many LoRa applications and require higher datarates, etc. +A lot of implementation complexity is removed with beaconing and those CPU and ledger resources can be re-allocated to more beneficial purposes (like combating gaming/exploitation). # Stakeholders [stakeholders]: #stakeholders @@ -160,9 +163,8 @@ Hotspot owners that optimized for the existing algorithm which has been largely Note I think this is a benefit of the change since the existing system did not reward “good” topologies in favor of “dense” topologies. It will still cause disruption. -It may appear that beaconing is less secure since there is no multi-level onion packet. - -I believe this was false security as it is just as easy to distribute raw data received over LoRa to miners whether that is an onion packet or a pseudorandom payload for beaconing. +It may appear that beaconing is less secure since there is no multi-level onion packet. I believe this was false security as it is just as easy to distribute raw data received over LoRa to miners whether that is an onion packet or a pseudorandom payload for beaconing. +THe multi-level onion packet does not reduce the ability for hotspots to collude, completely virtualize or otherwise lie to increase earnings and in isolated gaming clusters this multihop worked to increase rewards. Having an intended target chosen from witnesses does not validate the PoC more than simple witnessing. From a1e5ea56b5ea13edb7c0d10341d3d51a4401f924 Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Sun, 11 Oct 2020 21:52:54 -0700 Subject: [PATCH 10/19] added example topologies and associated figures --- 0015-beaconing-rewards.md | 31 ++ 0015-beaconing-rewards/TopologyExamples.PNG | Bin 0 -> 47033 bytes 0015-beaconing-rewards/TopologyExamples.svg | 572 ++++++++++++++++++++ 3 files changed, 603 insertions(+) create mode 100644 0015-beaconing-rewards/TopologyExamples.PNG create mode 100644 0015-beaconing-rewards/TopologyExamples.svg diff --git a/0015-beaconing-rewards.md b/0015-beaconing-rewards.md index 2edda8f96..32f22281c 100644 --- a/0015-beaconing-rewards.md +++ b/0015-beaconing-rewards.md @@ -153,6 +153,37 @@ This table gives examples of beacons with invalid witnesses | RewardTX issued | 1.53 | 0.30 | 0.75 | 0.25 | | Total Reward issued | 4.18 | 0.83 | 3.75 | 1.25 | +### Example Topologies MultiHop vs Beaconing +Below are five examples to compare how they would be rewarded with the current multihop PoC to this beaconing proposal. To compare apples to apples, I will call the reward given for a full challenge (RF receive, p2p receipt, RF transmit witnessed) a reward unit for the current multihop PoC. This is similar to a beacon in the new method. + +Note in the current system, the initial target can only earn 2/3 (0.67) of a Reward Unit since it cannot demonstrate the ability to receive RF (it receives over p2p which is not rewarded). + + ![image Topology Examples](./0015-beaconing-rewards/TopologyExamples.svg) + +A description of each figure: + + - **Figure (a)**: Two isolated hotspots that can witness only each other. + - **Figure (b)**: a string of five hotspots A-E where the witness relationship is asymmetric. B can witness A but A cannot witness B, C can witness B but B cannot witness C etc. + - **Figure (c)**: this figure is similar to (a) but with 100 hotspots collocated at each position. + - **Figure (d)**: is a ring of 24 hotspots that can all witness each other. Assume hotspots are still spaced beyond minimum distance to witness. + - **Figure (e)**: is six hotspots with a central hotspot A that can hear all other hotspots transmissions and all other hotspots can witness A’s transmissions. Hotspots B-F cannot witness each other and can only communicate with A. + - **Figure (f)**: is a ring of five hotspots where all hotspots can witness each other. + +A table of expected rewards for MultiHop PoC (used today) vs this HIPs beaconing rewards + + +| Figure | (a) | (b) | (c) | (d) | (e) | (f) | +|---:|---|---|---|---|---|---| +| MultiHop Rewards | A:1.67
B:1.67 | A:0.67, B:1.67
C:2.67, D:3.67
E:2.67 | A(ea):1.67
B(ea):1.67 | each:4.67 | A:5.67
B:1.67 | A-E:4.67 | +| Beaconing Rewards | A:1.25
B:1.25 | A:0.25
B-D:1.25
E:1.00 | A(ea):5.00
B(ea):5.00 | each:5.00 | A:6.20
B:1.01 | A-E:5.00 | + +We can see rewards are fairly similar except for two figures **(b)** and **(c)**. + +In figure (b) we see how asymetric witnessing may cause rewards to be pushed towards certain hotspots. +Hotspot D gets roughly 2.2 times hotspot B even though it has identical coverage. + +In figure (c) beaconing hotspots earn significantly more than those with multihop PoC. This is because the bulk of rewards go to witnessing and although there are only two distinct locations, there are enough witnesses to give the transmitter full credit and the witnesses get to split the maximum rewards for receivers per transmission. +The best way to address this concern is to discount beconing rewards based on some form of density (See *Method for Geographic Based Transmit Reward Scaling* proposal). # Drawbacks [drawbacks]: #drawbacks diff --git a/0015-beaconing-rewards/TopologyExamples.PNG b/0015-beaconing-rewards/TopologyExamples.PNG new file mode 100644 index 0000000000000000000000000000000000000000..0c35dca55b66951bd325f14d3237ec5da98db364 GIT binary patch literal 47033 zcmdSBby!s07eA_^QqtWHh#-x0%SeMDf^-a_*e5YuTatru!-%R|K_?#nx*4JL=;0jJE0p=+;bCEJ?l3p=F=3vEC=ZX{@jdh@ZE3+_ z>EzU#MVIX+?{ZGzkqzwNlQ+JlHS@PF2y=-JOVQo$PIkqYjvmnpjxEtNTaTsep)h$8 zVZ8f1>b6@Z($v|(%ZqBSMe?fk%tCNZ0nmL#% zWHw<-T8eU!-xa~bTs8RI#oHv-ZEcofAl|E?&Eq=0I?2qte8_6?{8X=gAc(}KBwe$% 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Sheet.134 + (a) + + + + (a) + + Sheet.135 + (b) + + + + (b) + + Sheet.136 + (c) + + + + (c) + + Sheet.137 + (d) + + + + (d) + + Sheet.138 + (e) + + + + (e) + + Sheet.139 + (f) + + + + (f) + + From 709afc60533cd0565f54bebae027ee595fad71dd Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Sun, 11 Oct 2020 23:48:43 -0700 Subject: [PATCH 11/19] re-worded drawbacks to highlight potential new gaming topologies with beaconing (geo based reward scaling or other methods can address these) --- 0015-beaconing-rewards.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/0015-beaconing-rewards.md b/0015-beaconing-rewards.md index 32f22281c..1605f9452 100644 --- a/0015-beaconing-rewards.md +++ b/0015-beaconing-rewards.md @@ -189,13 +189,14 @@ The best way to address this concern is to discount beconing rewards based on so [drawbacks]: #drawbacks This will be a considerable implementation effort to change how PoC are constructed and verified. -Also, this change to the reward structure may drastically change how rewards are distributed. +Also, this change to the reward structure may drastically change how rewards are distributed for some hotspots. Hotspot owners that optimized for the existing algorithm which has been largely unchanged since Helium’s introduction may find their setups to be suboptimal with the new scheme. -Note I think this is a benefit of the change since the existing system did not reward “good” topologies in favor of “dense” topologies. -It will still cause disruption. +The example topologies show small variations in rewards for most situations. +There are some improvements to rewarding equal coverage equally but also some potential problems introduced where co-located hotspots may see increased rewards +This beaconing reward proposal can be supplemented with other methods to account for these over-rewarded topologies. It may appear that beaconing is less secure since there is no multi-level onion packet. I believe this was false security as it is just as easy to distribute raw data received over LoRa to miners whether that is an onion packet or a pseudorandom payload for beaconing. -THe multi-level onion packet does not reduce the ability for hotspots to collude, completely virtualize or otherwise lie to increase earnings and in isolated gaming clusters this multihop worked to increase rewards. +The multi-level onion packet does not reduce the ability for hotspots to collude, completely virtualize or otherwise lie to increase earnings and in isolated gaming clusters this multihop worked to increase rewards. Having an intended target chosen from witnesses does not validate the PoC more than simple witnessing. From d7d57eb1916cb2b1d14985cc13c35e87fb9e0d2e Mon Sep 17 00:00:00 2001 From: Carniverous19 Date: Mon, 19 Oct 2020 20:49:36 -0700 Subject: [PATCH 12/19] introduction geo based targeting --- ...x-density-based-transmit-reward-scaling.md | 242 +++++++ .../austin_scaling.png | Bin 0 -> 204478 bytes .../city_violin.png | Bin 0 -> 121622 bytes .../example_1_hex.svg | 97 +++ .../example_2_hex.svg | 99 +++ .../example_3_hex.svg | 108 +++ .../example_7_hex.svg | 116 ++++ .../example_rew_1.png | Bin 0 -> 52156 bytes .../example_rew_2.png | Bin 0 -> 50671 bytes .../example_rew_3a.png | Bin 0 -> 32211 bytes .../example_rew_3b.png | Bin 0 -> 40007 bytes .../example_topo_1.png | Bin 0 -> 343618 bytes .../example_topo_2.png | Bin 0 -> 114741 bytes .../hotspot_scale.PNG | Bin 0 -> 5795 bytes .../initial_topo_example.png | Bin 0 -> 17513 bytes .../initial_topo_example.svg | 632 ++++++++++++++++++ .../limit_formula.PNG | Bin 0 -> 3459 bytes .../modesto_scaling.png | Bin 0 -> 156602 bytes .../n_formula.PNG | Bin 0 -> 4008 bytes .../nyc_scaling.png | Bin 0 -> 244925 bytes .../sf_scaling.png | Bin 0 -> 220866 bytes 21 files changed, 1294 insertions(+) create mode 100644 0099-hex-density-based-transmit-reward-scaling.md create mode 100644 0099-hex-density-based-transmit-reward-scaling/austin_scaling.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/city_violin.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_1_hex.svg create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_2_hex.svg create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_3_hex.svg create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_7_hex.svg create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_rew_1.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_rew_2.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_rew_3a.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_rew_3b.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_topo_1.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/example_topo_2.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/hotspot_scale.PNG create mode 100644 0099-hex-density-based-transmit-reward-scaling/initial_topo_example.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/initial_topo_example.svg create mode 100644 0099-hex-density-based-transmit-reward-scaling/limit_formula.PNG create mode 100644 0099-hex-density-based-transmit-reward-scaling/modesto_scaling.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/n_formula.PNG create mode 100644 0099-hex-density-based-transmit-reward-scaling/nyc_scaling.png create mode 100644 0099-hex-density-based-transmit-reward-scaling/sf_scaling.png diff --git a/0099-hex-density-based-transmit-reward-scaling.md b/0099-hex-density-based-transmit-reward-scaling.md new file mode 100644 index 000000000..0c1745066 --- /dev/null +++ b/0099-hex-density-based-transmit-reward-scaling.md @@ -0,0 +1,242 @@ +# Hex Density Based Transmit Reward Scaling + +- Author(s): +- Start Date: +- Category: +- Original HIP PR: +- Tracking Issue: + +# Summary +[summary]: #summary + + + +# Motivation +[motivation]: #motivation +Rewards are dominated by PoC activity (challenge and witness) with the growth of interest in Helium and the number of hotspots coming online, it’s important that rewards encourage “optimal” hotpsot deployment and density. The current PoC, which rewards all challenge hops equally and targets hotspots roughly uniformly, does not account for density. For example, you could have 5 hotspots in unique locations all >300m apart and able to do a PoC path. This is healthy, but someone could place multiple hotspots at each of these locations and they will, multiply their earnings. + +![image Initial Topology Example](./0099-hex-density-based-transmit-reward-scaling/initial_topo_example.svg) + + +The two topologies shown above cover an equal area with coverage. The topology on the right will have each hex targeted 20 times as often as the topology on the left and earn around 20 times the reward. This is undesirable behavior as the increased reward is not going to providing any meaningful increase in coverage. + +You can also see some dense urban areas such as SF and NYC have a very high density of hotspots. These areas may be over-saturated and if not, will likely reach over saturation with the number of hotspots coming online and hotspot-based reward targeting overly benefiting dense areas. + + + +# Stakeholders +[stakeholders]: #stakeholders + +* Who is affected by this HIP? + +* How are we soliciting feedback on this HIP from these stakeholders? Note that + they may not be watching the HIPs repository or even aren't directly active in + the Helium Community Slack channels. + +# Detailed Explanation +[detailed-explanation]: #detailed-explanation + +## Definitions: +To better describe the proposal, I will introduce some terms and variable names. +Note these may be formatted differently in formulas: + +**Density_tgt**: Target number of hotspots in target hex resolution (example = 1). Density in a target resolution hex will be clipped at this number unless certain conditions are met. This would be a chain variable. +This could also be an array of target density for each resolution hex for finer tuning. + +**Density_max**: maximum number of hotspots to consider for target resolution any density beyond this will be clipped under any conditions. (Example= 4) This would be a chain variable. +This could also be an array of maximum density for each resolution hex for finer tuning. + +**R**: H3 resolution for target density (Example = 8). This would be a chain variable. +This could also be an array of hex resolutions corresponding to each entry in density target and max chain variable lists. + +**N**: number of sibling hex’s that must meet Tgt_density before clipping will be raised above **Density_tgt**. (Example =2). This would be a chain variable. + +**Interactive Hotspot**: an active hotspot that has also recently had a transmission witnessed. Lone wolves are active but not interactive. + +**Occupied Hex**: hex where at least one interactive_hotspot is present. This can apply to any resolution of interest. It also implies that if we know a certain hex is occupied, all parents of that hex up to resolution 0 are also occupied. + +**Hex Whitelist**: a list of hex’s that are eligible for rewards, these could be specified at any level but in general should be as low a resolution (largest area) as possible. If this feature is not desired, you can assume all resolution 0 hexs are in the whitelist. This would be a chain variable. + +## Algorithm + +The goal if this algorithm is to limit density to a specific target while being flexible enough to reward areas that require density above this target. For example, nation capitals or other dense urban areas. It should also be flexible enough to recognize there are many areas that would require localized density to be best served (non-capital cities, college towns, tech centers, etc). + +A brief summary is that rewards for transmitting hotspots and witnesses to transmitting hotspots will be scaled up or down based on hex density (and all parent hex densities) relative to target. In general hotspots in overly dense areas will have a scale factor < 1 while hotspots in less dense areas will have a scaling factor > 1. For this proposal to be effective each hotspot should be targeted uniformly randomly over a desired interval, much like initial hop targeting for PoC is done today. + +### Getting interactive and losing interactive status + +There are many conditions that can be placed on hotspots before they are classified as “interactive”. As a minimum they need to have an assert_location transaction and must be able to transmit with valid witnesses (300m+ distance, valid metadata, etc). + +A hotspot should lose the status of interactive if its transmissions no longer have valid witness(es). This can be a count of unwitnessed transmission or a period of blocks where the most recent witness must be within that range of blocks (something like 10 times the expected transmission period). + +When a hotspot is not “interactive” it will still be targeted for transmitting but it will not contribute to hex densities and the reward scaling factor will be 0.0 meaning no reward is given for transmitting. Note hotspots will still be motivated to transmit when challenged in order to discover witnesses and gain “interactive” status. + +### Determine Hex Densities +The following describes the process to determine hex densities and how to calculate the limits to hex densities based on the proposed chain variables. + +#### Limiting Density +In order to control density, the density of each hex is clipped at Density_tgt unless certain criteria are met which would allow density to increase up to Density_max. Density limit can be raised if a certain number of neighboring hexs are also occupied by at least density_tgt hotspots. Note there are 7 “neighbor” hexs (6 + reference hex in center). + +The density limit follows the following criteria: + +| | | +|---:|:---| +| **Occupied Count** | ![image n formula](./0099-hex-density-based-transmit-reward-scaling/n_formula.PNG) | +| **Hex Density Limit** | ![image limit formula](./0099-hex-density-based-transmit-reward-scaling/limit_formula.PNG) | +| | + +Example thresholds for N=2, Density_tgt = 1 + +| n | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | +|---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| +| limit % of Density_tgt | 100% | 100% | 100% | 200% | 300% | 400% | 400% | 400% | + +Example Topologies, assume we are looking at R=8, N=2, Density_tgt=1, Density_max=4. + +| Example 1 | Example 2 | Example 3 | Example 4 | +|:---:|:---:|:---:|:---:| +| ![1 Hex occupied](./0099-hex-density-based-transmit-reward-scaling/example_1_hex.svg) | ![1 Hex occupied](./0099-hex-density-based-transmit-reward-scaling/example_2_hex.svg) | ![1 Hex occupied](./0099-hex-density-based-transmit-reward-scaling/example_3_hex.svg) | ![1 Hex occupied](./0099-hex-density-based-transmit-reward-scaling/example_7_hex.svg) | +| parent density=1 | parent density=2 | parent density=5 | parent density=7, 14, 16 | + +**Example 1**: there is one occupied hex that has 5 interactive hotspots in it. Since this is the only occupied hex among its children, its count is limited to Density_tgt which is 1. + +**Example 2**: There are two occupied hexs this is equal to N meaning we are at the threshold of our density limit. Still, because we do not exceed N, each hex is still limited to Density_tgt. + +**Example 3**: There are now 3 occupied hexs meaning the occupied count is above N. The new threshold is 200% +Densty_tgt. This raises the clipping limit to 2 meaning the total density of the parent jumps from 2 to 5. + +**Example 4**: There are now 7 occupied hexs. Since the Density_max is set to 4 times target density, the new threshold is Density_max or 4 even though the parent occupancy is 5 hexs above N. We can also see how such a dense parent is affected by its siblings in the same manner, if the siblings of the parent are not sufficiently occupied then the density of the parent is clipped. + +#### Determing Transmit Reward Scaling for a Hotspot +A lookup table including clipped and raw hex densities for each occupied hex will need to be built by the consensus group once per epoch or at whatever rate deemed necessary. +To determine the reward scaling for a given hotspot, iterate through lower and lower resolution hexs taking a product of the clipped / unclipped density per the formula below. + +![hotspot scale formula](./0099-hex-density-based-transmit-reward-scaling/hotspot_scale.png) + +Important note, DexDensity_Unclipped is the unclipped sum of clipped child hexs meaning you clip the children, sum them and set the unclipped hex density. An example of this operation for a specific hotspot is below: + + 8828361563fffff h3res:8 has density clipped/unclipped of 4/ 61, scale reduced: 1.000 to 0.066 + 872836156ffffff h3res:7 has density clipped/unclipped of 27/ 27, scale reduced: 0.066 to 0.066 + 862836157ffffff h3res:6 has density clipped/unclipped of 49/106, scale reduced: 0.066 to 0.030 + 85283617fffffff h3res:5 has density clipped/unclipped of 62/ 62, scale reduced: 0.030 to 0.030 + 8428361ffffffff h3res:4 has density clipped/unclipped of 117/117, scale reduced: 0.030 to 0.030 + 832836fffffffff h3res:3 has density clipped/unclipped of 136/136, scale reduced: 0.030 to 0.030 + 822837fffffffff h3res:2 has density clipped/unclipped of 504/504, scale reduced: 0.030 to 0.030 + 81283ffffffffff h3res:1 has density clipped/unclipped of 504/504, scale reduced: 0.030 to 0.030 + + +### What does this look like for existing network? +For this analysis I used the example values for chain variables (N=2, R=8, tgt=1, max=4). + +The chart below shows violin plots of the transmit reward scaling for hotspots in larger metro areas or those especially effected by this proposal. +![hotspot scale formula](./0099-hex-density-based-transmit-reward-scaling/city_violin.png) + +Additionally, I mapped each interactive hotspot and its reward scale as well as drawing all resolution 8 and resolution 9, and 10 occupied hexs to get more detail on how this targeting will affect hotspots. + +The interactive map can be found: https://carniverous19.github.io/para1_geohip_USA.html Some screenshots of areas of interest are below. I draw occupied R resolution hexs (8: black) plus 3 levels of parents (7:blue, 6:white, 5:pink). The circles represent hotspots and circle colors represent normalized probability with yellow being the average scale factor, green being above average and orange to red being below average. The map has a lot of content and is not optimized for speed so it may be laggy to view. + +| Manhattan, NY | San Fransisco, CA | +|:---:|:---:| +| ![myc scaling](./0099-hex-density-based-transmit-reward-scaling/nyc_scaling.png) | ![sf scaling](./0099-hex-density-based-transmit-reward-scaling/sf_scaling.png) | + +| Modesto, CA | Austin, TX | +|:---:|:---:| +| ![modesto scaling](./0099-hex-density-based-transmit-reward-scaling/nyc_scaling.png) | ![austin scaling](./0099-hex-density-based-transmit-reward-scaling/austin_scaling.png) | + +### How Transmit Reward Scaling is Used +Its very important to understand that this is not a reward scaling for ALL rewards a hotspot will receive, it is scaling for a specific transmission and it effects the witnesses and transmitter. +Hotspots with low transmit reward scaling can still be very high earners if they can witness hotspots with high transmit reward scaling. +This will work best when implemented in conjunction with beaconing and a change in reward distribution that gives the bulk of challenge rewards to RF receivers (witnesses) not transmitters. +There is a separate proposal for details of beaconing in [HIP 15](https://github.com/helium/HIP/blob/master/0015-beaconing-rewards.md). + +So for each transmit, the transmitting hotspot’s reward will be based on the number of witnesses and then scaled by its own transmit reward scale. For witnesses, they will receive a portion of reward based on the number of witnesses scaled by the transmitter’s reward scale. To better describe the relationship two example distributions are shown below: + +#### Example 1 +The Topology below is taken from real-world transmit scaling factors. The normalized reward scaling factor for A-C is 1.38 and the normalized reward scaling factor for D-H is 0.31. For this example, I assume all hotspots can witness all others. Since hotspots are targeted uniformly, I also assume each hotspot transmits exactly once. Finally, the rewards earned are assumed to be a (slightly simplified) reward distribution from beaconing above. + +| Topology | Reward Distribution | +|---|---| +| ![ex 1 topo](./0099-hex-density-based-transmit-reward-scaling/example_topo_1.png) | ![ex 2 topo](./0099-hex-density-based-transmit-reward-scaling/example_rew_1.png) | + +This is an over-simplification of real-word data, but we can see that although D-H have a transmit reward scale of less than ¼ those of A, B, C they only see a 20% reduction in earnings compared to A-C. This is because they can all witness A-C’s transmissions earning a large chunk of rewards for those witnesses. + +#### Example 2 +Here we look at a slightly more complex topology. Same beaconing reward method. There are 3 sets of hotspots circled, assume transmissions can be heard by everyone in the set(s) the hotpot belongs to. So for example D and e can witness all hotspots but A can only witness C-E, not F or G. + +| Topology | Reward Distribution | +|---|---| +| ![ex 2 topo](./0099-hex-density-based-transmit-reward-scaling/example_topo_2.png) | ![ex 2 topo](./0099-hex-density-based-transmit-reward-scaling/example_rew_2.png) | + + +Based on this example we can see D and E earn the most even though they have half the transmit reward scaling factor as F and G. A earns the least but it can only witness hotspots with low reward scaling factor and in proximity. It is not providing significantly less coverage than D or E and the coverage it is providing is already well saturated. + +#### Example 3 +There are two topologies from the “motivation” section that show an area with near optimal coverage as well as that same area with 20 times the number of hotspots all covering the same geographic area. The table on the left below gives an estimate of the rewards when there is only one hotspot per hex and the table on the right when there are 20 hotspots per hex. + +| 1 hotspot per Hex | 20 hotspots per Hex | +|:---:|:---:| +| ![modesto scaling](./0099-hex-density-based-transmit-reward-scaling/example_rew_3a.png) | ![austin scaling](./0099-hex-density-based-transmit-reward-scaling/example_rew_3b.png) | + + +We can see that although the per-hex earnings do go up, they only see a 35-65% increase vs 2,000% increase with existing PoC or a PoC reward structure that does not take density into account. + +#### Lessons From Examples +Hopefully these examples demonstrate that transmit reward scaling factor does not fully describe earnings, and the way to increase earnings is to provide coverage to as many hexes (or just general area) as possible, especially hex’s without a large amount of coverage already. + +# Drawbacks +[drawbacks]: #drawbacks + +- Why should we *not* do this? + +# Rationale and Alternatives +[alternatives]: #rationale-and-alternatives + +This is your chance to discuss your proposal in the context of the whole design +space. This is probably the most important section! + +- Why is this design the best in the space of possible designs? + +- What other designs have been considered and what is the rationale for not + choosing them? + +- What is the impact of not doing this? + +# Unresolved Questions +[unresolved]: #unresolved-questions + +- What parts of the design do you expect to resolve through the HIP process + before this gets merged? + +- What parts of the design do you expect to resolve through the implementation + of this feature? + +- What related issues do you consider out of scope for this HIP that could be + addressed in the future independently of the solution that comes out of this + HIP? + +# Deployment Impact +[deployment-impact]: #deployment-impact + +Describe how this design will be deployed and any potential imapact it may have on +current users of this project. + +- How will current users be impacted? + +- How will existing documentation/knowlegebase need to be supported? + +- Is this 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