A characterization of single-peaked preferences via random social choice functions

Article Type

Research Article

Publication Title

Theoretical Economics

Abstract

This paper proves the following result: every path-connected domain of preferences that admits a strategy-proof, unanimous, tops-only random social choice function satisfying a compromise property is single-peaked. Conversely, every single-peaked domain admits a random social choice function satisfying these properties. Single-peakedness is defined with respect to arbitrary trees. The paper provides a justification of the salience of single-peaked preferences and evidence in favor of the Gul conjecture ([Barberà, 2010]).

First Page

711

Last Page

733

DOI

10.3982/TE1972

Publication Date

5-1-2016

Comments

Open Access; Gold Open Access; Green Open Access

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