Correlation, partitioning and the probability of casting a decisive vote under the majority rule

Michel Le Breton, Dominique Lepelley and Hatem Smaoui ()
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Michel Le Breton: TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique
Hatem Smaoui: CEMOI - Centre d'Économie et de Management de l'Océan Indien - UR - Université de La Réunion

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Abstract: The main purpose of this paper is to estimate the probability of casting a decisive vote under the majority rule for a class of random electorate models encompassing the celebrated Impartial Culture (IC) and Impartial Anonymous Culture (IAC) models. The emphasis is on the impact of correlation across votes on the order of magnitude of this event. Our proof techniques use arguments from probability theory on one hand and combinatorial and algorithmic tools for counting integer points inside convex polytopes on the other hand.

Keywords: Economics; Elections; Power measurement; Random electorate; Voting (search for similar items in EconPapers)
Date: 2016-05
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Citations: View citations in EconPapers (12)

Published in Journal of Mathematical Economics, 2016, 64, pp.11--22. ⟨10.1016/j.jmateco.2016.03.001⟩

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Related works:
Journal Article: Correlation, partitioning and the probability of casting a decisive vote under the majority rule (2016)
Working Paper: Correlation, Partitioning and the Probability of Casting a Decisive Vote under the Majority Rule (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01452554

DOI: 10.1016/j.jmateco.2016.03.001

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