Article ID Journal Published Year Pages File Type
972031 Mathematical Social Sciences 2016 8 Pages PDF
Abstract

•We propose a framework to compare Approval Voting (AV) and Plurality Rule (PR).•We compute the probability of electing the Condorcet Loser (Borda’s Paradox).•We show that this probability is significantly reduced when PR is replaced by AV.•Some results regarding Negative Plurality Rule are also offered.

Analytical representations are developed for the probability that Approval Voting (AV) elects the Condorcet Loser in three-alternative elections with large electorates. A comparison of AV is then made to Plurality Rule (PR) to show that AV is much less susceptible to the risk of electing the Condorcet loser than PR. All calculations in this analysis are based on IAC-like assumptions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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