On Strategy‐Proofness and the Salience of Single‐Peakedness

27 Pages Posted: 20 Feb 2018

See all articles by Shurojit Chatterji

Shurojit Chatterji

Singapore Management University - School of Economics

Jordi Massò

Autonomous University of Barcelona

Date Written: February 2018

Abstract

We consider strategy‐proof rules operating on a rich domain of preference profiles. We show that if the rule satisfies in addition tops‐onlyness, anonymity, and unanimity, then the preferences in the domain have to satisfy a variant of single‐peakedness (referred to as semilattice single‐peakedness). We do so by deriving from the rule an endogenous partial order (a semilattice) from which the concept of a semilattice single‐peaked preference can be defined. We also provide a converse of this main finding. Finally, we show how well‐known restricted domains under which nontrivial strategy‐proof rules are admissible are semilattice single‐peaked domains.

Suggested Citation

Chatterji, Shurojit and Massò, Jordi, On Strategy‐Proofness and the Salience of Single‐Peakedness (February 2018). International Economic Review, Vol. 59, Issue 1, pp. 163-189, 2018, Available at SSRN: https://ssrn.com/abstract=3125188 or http://dx.doi.org/10.1111/iere.12266

Shurojit Chatterji (Contact Author)

Singapore Management University - School of Economics ( email )

90 Stamford Road
178903
Singapore

Jordi Massò

Autonomous University of Barcelona ( email )

Plaça Cívica
Cerdañola del Valles
Barcelona, Barcelona 08193
Spain

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Downloads
0
Abstract Views
112
PlumX Metrics