[EM] RE: approval and pareto
simmonfo at up.edu
Tue May 3 15:43:53 PDT 2005
If ballots are ordinal with approval cutoffs, and alternative A pareto dominates alternative B, then B cannot have more approval than A.
If B has approval equal to A's, then the tie should be broken by random ballot. In that case alternative A will beat B, since A is ranked higher than B on every ballot.
Therefore, this version of Approval satisfies Pareto.
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