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Tendermint's basic reward distribution system is in Cosmos-SDK, but even if only voters elected from this logic transmit voting power and distribute it, it is distributed in proportion to the staking value, so I think there is no problem using the basic system.
Next data is part of the reward distribution simulation result.
idx
staking
selected
total vp
sum reward
reward rate / staking rate
63
4516370
4367
5719675
4184.35636
0.996222
79
4519584
4404
5767727
4220.4768
1.004107
94
4563578
4507
5923224
4337.15965
1.02192
62
4569419
4385
5764600
4219.94265
0.993031
46
4572028
4461
5841895
4271.59498
1.004612
60
4596592
4522
5949945
4352.55576
1.018182
69
4618147
4484
5891579
4315.00374
1.004686
67
4625211
4539
5983580
4378.79435
1.017982
92
4639030
4493
5911955
4326.83215
1.002905
81
4651790
4493
5921516
4325.54521
0.999857
54
4653399
4504
5948674
4355.94341
1.006535
83
4653986
4502
5938795
4345.49715
1.003995
80
4673362
4567
6040196
4417.48631
1.016396
68
4680899
4431
5849880
4279.31643
0.98302
50
4682156
4521
5980407
4377.57473
1.005321
When I simulate the basic reward distribution system of Cosmos-SDK, the total reward of each validator is fair. So, I think it is good, we don't need to change.
We need to change the consensus reward method.
But this method is implemented in the Cosmos-SDK, therefore we need to check how to do.
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