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Fix INACTIVITY_PENALTY_QUOTIENT #1712

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Apr 14, 2020
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Fix INACTIVITY_PENALTY_QUOTIENT #1712

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4 changes: 2 additions & 2 deletions configs/mainnet.yaml
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Original file line number Diff line number Diff line change
Expand Up @@ -122,8 +122,8 @@ BASE_REWARD_FACTOR: 64
WHISTLEBLOWER_REWARD_QUOTIENT: 512
# 2**3 (= 8)
PROPOSER_REWARD_QUOTIENT: 8
# 2**25 (= 33,554,432)
INACTIVITY_PENALTY_QUOTIENT: 33554432
# 2**24 (= 16,777,216)
INACTIVITY_PENALTY_QUOTIENT: 16777216
# 2**5 (= 32)
MIN_SLASHING_PENALTY_QUOTIENT: 32

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4 changes: 2 additions & 2 deletions configs/minimal.yaml
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Expand Up @@ -122,8 +122,8 @@ BASE_REWARD_FACTOR: 64
WHISTLEBLOWER_REWARD_QUOTIENT: 512
# 2**3 (= 8)
PROPOSER_REWARD_QUOTIENT: 8
# 2**25 (= 33,554,432)
INACTIVITY_PENALTY_QUOTIENT: 33554432
# 2**24 (= 16,777,216)
INACTIVITY_PENALTY_QUOTIENT: 16777216
# 2**5 (= 32)
MIN_SLASHING_PENALTY_QUOTIENT: 32

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4 changes: 2 additions & 2 deletions specs/phase0/beacon-chain.md
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Expand Up @@ -242,10 +242,10 @@ The following values are (non-configurable) constants used throughout the specif
| `BASE_REWARD_FACTOR` | `2**6` (= 64) |
| `WHISTLEBLOWER_REWARD_QUOTIENT` | `2**9` (= 512) |
| `PROPOSER_REWARD_QUOTIENT` | `2**3` (= 8) |
| `INACTIVITY_PENALTY_QUOTIENT` | `2**25` (= 33,554,432) |
| `INACTIVITY_PENALTY_QUOTIENT` | `2**24` (= 16,777,216) |
| `MIN_SLASHING_PENALTY_QUOTIENT` | `2**5` (= 32) |

- The `INACTIVITY_PENALTY_QUOTIENT` equals `INVERSE_SQRT_E_DROP_TIME**2` where `INVERSE_SQRT_E_DROP_TIME := 2**12 epochs` (about 18 days) is the time it takes the inactivity penalty to reduce the balance of non-participating validators to about `1/sqrt(e) ~= 60.6%`. Indeed, the balance retained by offline validators after `n` epochs is about `(1 - 1/INACTIVITY_PENALTY_QUOTIENT)**(n**2/2)`; so after `INVERSE_SQRT_E_DROP_TIME` epochs, it is roughly `(1 - 1/INACTIVITY_PENALTY_QUOTIENT)**(INACTIVITY_PENALTY_QUOTIENT/2) ~= 1/sqrt(e)`.
- The `INACTIVITY_PENALTY_QUOTIENT` equals `INVERSE_SQRT_E_DROP_TIME**2` where `INVERSE_SQRT_E_DROP_TIME := 2**12` epochs (about 18 days) is the time it takes the inactivity penalty to reduce the balance of non-participating validators to about `1/sqrt(e) ~= 60.6%`. Indeed, the balance retained by offline validators after `n` epochs is about `(1 - 1/INACTIVITY_PENALTY_QUOTIENT)**(n**2/2)`; so after `INVERSE_SQRT_E_DROP_TIME` epochs, it is roughly `(1 - 1/INACTIVITY_PENALTY_QUOTIENT)**(INACTIVITY_PENALTY_QUOTIENT/2) ~= 1/sqrt(e)`.

### Max operations per block

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