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
Number of pages	7
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

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10.1016/j.jmateco.2017.01.003

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

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.",

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AB - 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.

KW - Strategy-proofness

KW - Probabilistic rules

KW - Binary restricted domains

KW - Single-dipped domains

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DO - 10.1016/j.jmateco.2017.01.003

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JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

ER -

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

Abstract

Keywords

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