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Tweak inclusion delay rewards and set BASE_REWARD_FACTOR 

Substantive changes:

1) Split the inclusion delay reward between attester and proposer to add up to at most one base reward. This is analogous to the reward logic in `slash_validator`, and makes the `BASE_REWARDS_PER_EPOCH` constant include proposer rewards.
2) Double `BASE_REWARD_FACTOR` to 2^6 (addressing item 4 in #1054). When the total effective balance is 2^17 ETH then maximum annual issuance is a bit below 2^21 ETH. Maximum annual issuance happens when a) all validators make perfect attestations (matching source, target, head, as well as consistent crosslink data), b) all attestations are included as fast as possible (in particular, no skip blocks), and c) there are no slashings.

```python
BASE_REWARD_FACTOR = 2**6
SLOTS_PER_EPOCH = 2**6
SECONDS_PER_SLOT = 6
BASE_REWARDS_PER_EPOCH = 5
GWEI_PER_ETH = 10**9
MAX_TOTAL_EFFECTIVE_BALANCE = 2**27 * GWEI_PER_ETH
TARGET_MAX_ISSUANCE = 2**21 * GWEI_PER_ETH

def integer_squareroot(n: int) -> int:
    """
    The largest integer ``x`` such that ``x**2`` is less than or equal to ``n``.
    """
    assert n >= 0
    x = n
    y = (x + 1) // 2
    while y < x:
        x = y
        y = (x + n // x) // 2
    return x

MAX_REWARDS_PER_EPOCH = MAX_TOTAL_EFFECTIVE_BALANCE * BASE_REWARD_FACTOR // integer_squareroot(MAX_TOTAL_EFFECTIVE_BALANCE) // BASE_REWARDS_PER_EPOCH
EPOCHS_PER_YEAR = 365.25*24*60*60 / (SECONDS_PER_SLOT * SLOTS_PER_EPOCH)
MAX_REWARDS_PER_YEAR = EPOCHS_PER_YEAR * MAX_REWARDS_PER_EPOCH * BASE_REWARDS_PER_EPOCH

print(MAX_REWARDS_PER_YEAR / TARGET_MAX_ISSUANCE)
```
This commit is contained in:
Justin 2019-06-10 15:14:32 +01:00 committed by GitHub
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commit 05a35c7228
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11
specs/core/0_beacon-chain.md
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@ -224,14 +224,13 @@ These configurations are updated for releases, but may be out of sync during `de
| Name | Value |
| - | - |
| `BASE_REWARD_FACTOR` | `2**5` (= 32) |
| `BASE_REWARD_FACTOR` | `2**6` (= 64) |
| `WHISTLEBLOWING_REWARD_QUOTIENT` | `2**9` (= 512) |
| `PROPOSER_REWARD_QUOTIENT` | `2**3` (= 8) |
| `INACTIVITY_PENALTY_QUOTIENT` | `2**25` (= 33,554,432) |
| `MIN_SLASHING_PENALTY_QUOTIENT` | `2**5` (= 32) |
* **The `BASE_REWARD_FACTOR` is NOT final. Once all other protocol details are finalized, it will be adjusted to target a theoretical maximum total issuance of `2**21` ETH per year if `2**27` ETH is validating (and therefore `2**20` per year if `2**25` ETH is validating, etc.)**
* The `INACTIVITY_PENALTY_QUOTIENT` equals `INVERSE_SQRT_E_DROP_TIME**2` where `INVERSE_SQRT_E_DROP_TIME := 2**12 epochs` (~18 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` 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](#dfn-validator) to about `1/sqrt(e) ~= 60.6%`. Indeed, the balance retained by offline [validators](#dfn-validator) 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
@ -1425,8 +1424,10 @@ def get_attestation_deltas(state: BeaconState) -> Tuple[List[Gwei], List[Gwei]]:
a for a in matching_source_attestations
if index in get_attesting_indices(state, a.data, a.aggregation_bitfield)
], key=lambda a: a.inclusion_delay)
rewards[attestation.proposer_index] += get_base_reward(state, index) // PROPOSER_REWARD_QUOTIENT
rewards[index] += get_base_reward(state, index) * MIN_ATTESTATION_INCLUSION_DELAY // attestation.inclusion_delay
proposer_reward = get_base_reward(state, index) // PROPOSER_REWARD_QUOTIENT
rewards[attestation.proposer_index] += proposer_reward
max_attester_reward = get_base_reward(state, index) - proposer_reward
rewards[index] += max_attester_reward * MIN_ATTESTATION_INCLUSION_DELAY // attestation.inclusion_delay
# Inactivity penalty
finality_delay = previous_epoch - state.finalized_epoch