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

Authors

Hans Peters, Universiteit Maastricht
Souvik Roy, Universiteit Maastricht
Soumyarup Sadhukhan, Indian Statistical Institute, Kolkata
Ton Storcken, Universiteit Maastricht

Article Type

Research Article

Publication Title

Journal of Mathematical Economics

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.

First Page

84

Last Page

90

DOI

10.1016/j.jmateco.2017.01.003

Publication Date

3-1-2017

Comments

Open Access, Green

Recommended Citation

Peters, Hans; Roy, Souvik; Sadhukhan, Soumyarup; and Storcken, Ton, "An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains" (2017). Journal Articles. 2664.
https://digitalcommons.isical.ac.in/journal-articles/2664