Working paper

Issue number:

RM/16/012

Series:

GSBE Research Memoranda

Publisher:

Maastricht University School of Business and Economics

Year:

2016

Working Paper [1]

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.