Maximum Likelihood Social Choice Rule

Yuta Nakamura

The Japanese Economic Review, 2015, vol. 66, issue 2, 271-284

Abstract: type="main">

This study is related to a Condorcetian problem of information aggregation that finds a “true” social ordering using individual orderings, that are supposed to partly contain the “truth”. In this problem, we introduce a new maximum likelihood rule and analyse its performance. This rule selects an alternative that maximizes the probability of realizing individual orderings, conditional on the alternative being the top according to a true social ordering. We show that under a neutrality condition of alternatives, the probability that our rule selects the true top alternative is higher than that of any other rule.

Date: 2015
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