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Symmetric reduced form voting

Xu Lang and Debasis Mishra

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Abstract: We study a model of voting with two alternatives in a symmetric environment. We characterize the interim allocation probabilities that can be implemented by a symmetric voting rule. We show that every such interim allocation probabilities can be implemented as a convex combination of two families of deterministic voting rules: qualified majority and qualified anti-majority. We also provide analogous results by requiring implementation by a symmetric monotone (strategy-proof) voting rule and by a symmetric unanimous voting rule. We apply our results to show that an ex-ante Rawlsian rule is a convex combination of a pair of qualified majority rules.

Date: 2022-07, Revised 2023-04
New Economics Papers: this item is included in nep-cdm, nep-des, nep-mic and nep-pol
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Handle: RePEc:arx:papers:2207.09253