diff --git a/specs/core/0_beacon-chain.md b/specs/core/0_beacon-chain.md index 5a62919ec..1d05d30ba 100644 --- a/specs/core/0_beacon-chain.md +++ b/specs/core/0_beacon-chain.md @@ -184,10 +184,10 @@ Unless otherwise indicated, code appearing in `this style` is to be interpreted | `BASE_REWARD_QUOTIENT` | `2**11` (= 2,048) | | `WHISTLEBLOWER_REWARD_QUOTIENT` | `2**9` (= 512) | | `INCLUDER_REWARD_QUOTIENT` | `2**3` (= 8) | -| `INACTIVITY_PENALTY_QUOTIENT` | `2**34` (= 131,072) | +| `INACTIVITY_PENALTY_QUOTIENT` | `2**34` (= 17,179,869,184) | -* The `BASE_REWARD_QUOTIENT` constant dictates the per-epoch reward. It corresponds to ~2.54% annual interest assuming 10 million participating ETH in every epoch. -* The `INACTIVITY_PENALTY_QUOTIENT` equals `SQRT_E_DROP_TIME**2` where `SQRT_E_DROP_TIME := 2**17 slots` (~9 days) is the amount of time it takes for the inactivity penalty to cut deposits of non-participating [validators](#dfn-validator) by ~39.4%. The portion lost by offline [validators](#dfn-validator) after `D` epochs is about `D*D/2/INACTIVITY_PENALTY_QUOTIENT`. +* The `BASE_REWARD_QUOTIENT` parameter dictates the per-epoch reward. It corresponds to ~2.54% annual interest assuming 10 million participating ETH in every epoch. +* The `INACTIVITY_PENALTY_QUOTIENT` equals `INVERSE_SQRT_E_DROP_TIME**2` where `INVERSE_SQRT_E_DROP_TIME := 2**17 slots` (~9 days) is the time it takes the inactivity penalty to reduce the balance of non-participating [validators](#dfn-validator) to about `1/sqrt(e) ~= 60.6%`. Indeed, the balance retained by offline [validators](#dfn-validator) after `n` slots is about `(1-1/INACTIVITY_PENALTY_QUOTIENT)**(n**2/2)` so after `INVERSE_SQRT_E_DROP_TIME` slots it is roughly `(1-1/INACTIVITY_PENALTY_QUOTIENT)**(INACTIVITY_PENALTY_QUOTIENT/2) ~= 1/sqrt(e)`. ### Status codes