Equal Vote Criterion: Difference between revisions
→Equal Vote Criterion Definition: Added mathematical proof.
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=== Equal Vote Criterion Definition ===
Any voting method or election which passes the Test of Balance passes the Equal Vote Criterion and can be said to guarantee an Equally Weighted Vote. The test of balance is defined as the following "Any way I vote, you should be able to vote in an equal and opposite fashion. Our votes should be able to cancel each other’s out." In other words, if an election was tied and one person cast a vote, there must always be a way to cast an opposite vote which would bring the election back to tied.
"More formally, a voting method m passes the cancellation criterion if for every ballot b, there exists some (not necessarily distinct) ballot b′ such that for any list of ballots b1,b2,…,bn, m(b1,b2,…,bn,b,b′)=m(α(b1,b2,…,bn)) for every permutation α of b1,b2,…,bn. Note that restrictions on the domain of m are left implied." - [https://bternarytau.github.io/miscellaneous/voting-theory/cancellation-criterion BTernaryTau]
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