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

Hans Peters; Souvik Roy; Soumyarup Sadhukhan; Ton Storcken

doi:10.1016/j.jmateco.2017.01.003

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

QE Math. Economics & Game Theory

Research output: Contribution to journal › Article › Academic › peer-review

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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 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 language	English
Pages (from-to)	84-90
Journal	Journal of Mathematical Economics
Volume	69
DOIs	https://doi.org/10.1016/j.jmateco.2017.01.003
Publication status	Published - Mar 2017

Keywords

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

Access to Document

10.1016/j.jmateco.2017.01.003

Full TextFinal published version, 439 KBLicence: Taverne

Cite this

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