A CHaracterization of Single-Peaked Preferences via Random Social Choice Functions

Shurojit Chatterji (), Arunava Sen and Huaxia Zeng
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Shurojit Chatterji: School of Economics, Singapore Management University, Singapore, 178903
Huaxia Zeng: School of Economics, Singapore Management University, Singapore, 178903

No 13-2014, Working Papers from Singapore Management University, School of Economics

Abstract: The 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 de ned with respect to arbitrary trees. We also show that a maximal domain that admits a strategy-proof, unanimous, tops-only random social choice function satisfying a stronger version of the compromise property, is single-peaked on a line. A converse to this result also holds. The paper provides justi cation of the salience of single-peaked preferences and evidence in favour of the Gul conjecture (Barbera (2010)).

Keywords: Random Social Choice Functions; Strategy-proofness; Compromise; Single- peaked Preferences (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2014-09
New Economics Papers: this item is included in nep-gth, nep-mic and nep-sea
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Published in SMU Economics and Statistics Working Paper Series

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Related works:
Journal Article: A characterization of single-peaked preferences via random social choice functions (2016)
Working Paper: A characterization of single-peaked preferences via random social choice functions (2016)
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