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The Probability of Casting a Decisive Vote: From IC to IAC trhough Ehrhart's Polynomials and Strong Mixing

Michel Le Breton, Dominique Lepelley and Hatem Smaoui

No 12-313, 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 for a class or random electorate models encompassing the celebrated IC and 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 the geometry of convex polytopes on the other hand.

Keywords: Elections; Ehrhart Polynomials; Power Measurement; Voting (search for similar items in EconPapers)
JEL-codes: D71 D72 (search for similar items in EconPapers)
Date: 2012-06, Revised 2014-04
New Economics Papers: this item is included in nep-cdm
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Working Paper: The Probability of Casting a Decisive Vote: From IC to IAC trhough Ehrhart's Polynomials and Strong Mixing (2012) Downloads
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