If voter prefers candidate over second one, whom he or she prefers over third one, voter prefers first one over third one {transitivity principle}. In simple majority rule, if there are three candidates, and one is never second {value restriction}, transitivity holds. In simple majority rule, transitivity holds if all voters base decision on one parameter. Simple majority rule can violate transitivity {Condorcet paradox, transitivity} because rankings can permute in all ways {Condorcet cycle, transitivity}. In case of no simple majority, using rank-order to supplement vote maintains transitivity.
Mathematical Sciences>Game Theory>Voting>Principles
3-Game Theory-Voting-Principles
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Date Modified: 2022.0224