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update simd # and title
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proposals/XXXX-template.md renamed to proposals/0257-eliminate-vote-fees.md

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---
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simd: 'XXXX'
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title: Vote cost reduction
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simd: '0257'
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title: Eliminate vote fees
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authors:
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- Max Resnick
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- Ashwin Sekar
@@ -164,7 +164,7 @@ Any unearned sol rewards will be burned.
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This represents a very slight reduction in total rewards available to validators:
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![rewards table](../assets/0254-rewardstbl.png)
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![rewards table](../assets/0257-rewardstbl.png)
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### Vote Inclusion Credits
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First we should verify that, upon receiving a vote, the leader should include it
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in the next block. Each leader $i$ has reward function.
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$$
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R_i(s_1,\dots,s_n,c_1,\dots,c_n, u_1,\dots,u_n) = I s_i \frac{c_i}{M} + Iu_i -
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[\sum_{j=1}^n I s_j \frac{c_j}{M} + u_i]\cdot \frac{s_i}{T}
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$$
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$$ R_i(s_1,\dots,s_n,c_1,\dots,c_n, u_1,\dots,u_n) = I s_i \frac{c_i}{M} + Iu_i -
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[\sum_{j=1}^n I s_j \frac{c_j}{M} + u_i]\cdot \frac{s_i}{T} $$
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The leader, having received a vote from validator $j$ has two choices: include
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the vote and receive a vote inclusion credit of
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$$ \frac{1}{3}I s_j \frac{c_j}{M} $$
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Or delay the vote and prevent the validator from earning vote credits. If he
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delays the vote he receives, due to the reduction in inflation:
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$$ \frac{s_i}{T} I s_j \frac{c_j}{M} $$
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as long as the leader $i$ has $< f \approx \frac{1}{3}$ of the stake, we have :
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$$ \frac{s_i}{T} I s_j \frac{c_j}{M}
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< \frac{1/3}{T} I s_j \frac{c_j}{M}
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< \frac{1}{3} I s_j \frac{c_j}{M} $$

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