Correlation, Partitioning and the Probability of Casting a Decisive Vote under the Majority Rule

Michel Le Breton, Dominique Lepelley and Hatem Smaoui

No 16-622, TSE Working Papers from Toulouse School of Economics (TSE)

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: Elections; Power Measurement; Voting; Random Electorate (search for similar items in EconPapers)
JEL-codes: D71 D72 (search for similar items in EconPapers)
Date: 2016-02
New Economics Papers: this item is included in nep-cdm and nep-pol
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (14)

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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:tse:wpaper:30138

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