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

H.J.M. Peters, S. Roy, S. Sadhukhan, A.J.A. Storcken

Research output: Working paperProfessional

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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.
Original languageEnglish
Place of PublicationMaastricht
PublisherMaastricht University, Graduate School of Business and Economics
DOIs
Publication statusPublished - 1 Jan 2016

Publication series

SeriesGSBE Research Memoranda
Number012

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