An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains

Hans Peters, Souvik Roy (), Soumyarup Sadhukhan and A.J.A. Storcken
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A.J.A. Storcken: Quantitative Economics

No 12, Research Memorandum from Maastricht University, Graduate School of Business and Economics (GSBE)

Abstract: We show that every strategy-proof and unanimous probabilistic rule on a binary restricted domain has binary support, and is a probabilistic mixture of strategy-proof and unanimous deterministic rules. Examples of binary restricted domains include several types of single-dipped domains, the single-peaked domain where peaks are restricted to two adjacent alternatives, and the single-crossing domain with two tops. We also provide some extensions to infinitely many alternatives.

Date: 2016-01-01
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Journal Article: An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2016012

DOI: 10.26481/umagsb.2016012

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