Symmetric reduced form voting

Xu Lang; Debasis Mishra

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arXiv · 2207.09253

Symmetric reduced form voting

Xu Lang·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.

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Xu Lang, Debasis Mishra. 2022-07-19. Symmetric reduced form voting. https://arxiv.org/abs/2207.09253

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