# Rewards

The Voter Reward incentivizes the initial participation in EGL voting in the first year (52 weekly votes). The voter reward is not actively awarded to voters; rather, voters collect it when they call `withdraw()`or `reVote()`.

## Voter Reward Amount

The Voter Reward is awarded in the first 52 weekly votes (index 0 to 51), and its amounts are calculated using the following formula:

$$
reward\_i= 362,844.70 · (52-i)
$$

Thus, it gradually reduces from $$reward\_0 = 18,867,924$$EGLs in the first tally, to$$reward\_{51} =  362,844.70$$EGLs in the 52nd tally.

## Voter Share Size

The Voter Reward is shared each week among the EGL voters who actively voted in said week to affect the `desiredEgl`. The amount distributed each week is fixed (see below) and the share of each voter depends on the `lockupDuration` and `eglAmount` she specified in the `vote()` or `reVote()`.

The share size for $$voter\_j$$ is calculated as:

$$
share\_j = EGLs\_locked · lockup\_period
$$

while$$voter\_j's$$ EGL reward in week i is calculated:

$$
reward\_j = share\_j \* reward\_i
$$

For example, given the following voters in a  week:

* $$voter\_1$$ locks up 10 EGLs for 1 week   (Share1 = 10 · 1 = 10)
* $$voter\_2$$ locks up 10 EGLs for 2 weeks (Share2 = 10 · 2 = 20)
* $$voter\_3$$ locks up 20 EGLs for 1 week   (Share3 = 20 · 1 = 20)

$$voter\_2$$ will be rewarded $$20/50$$ or 40% of the weekly EGL reward (e.g. · Reward1)<br>


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