An Extreme Point Characterization of Strategy-proof and Unanimous Probabilistic Rules over Binary Restricted Domains

Hans Peters*, Souvik Roy, Soumyarup Sadhukhan, Ton Storcken

*Corresponding author for this work

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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.
Original languageEnglish
Pages (from-to)84-90
JournalJournal of Mathematical Economics
Publication statusPublished - Mar 2017


  • Strategy-proofness
  • Probabilistic rules
  • Binary restricted domains
  • Single-dipped domains

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