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

Hans Peters, Souvik Roy (), Soumyarup Sadhukhan and Ton Storcken

Journal of Mathematical Economics, 2017, vol. 69, issue C, 84-90

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 are single-dipped domains, which are of interest when considering the location of public bads. We also provide an extension to infinitely many alternatives.

Keywords: Strategy-proofness; Probabilistic rules; Binary restricted domains; Single-dipped domains (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (9)

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Working Paper: An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:69:y:2017:i:c:p:84-90

DOI: 10.1016/j.jmateco.2017.01.003

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