Publication Type
Working Paper
Version
publishedVersion
Publication Date
9-2014
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 defined 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 justification 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, Singlepeaked Preferences
Discipline
Economics | Economic Theory
Research Areas
Economic Theory
First Page
1
Last Page
20
Publisher
SMU Economics and Statistics Working Paper Series, No. 13-2014
City or Country
Singapore
Citation
CHATTERJI, Shurojit; SEN, Arunava; and ZENG, Huaxia.
A Characterization of Single-Peaked Preferences via Random Social Choice Functions. (2014). 1-20.
Available at: https://ink.library.smu.edu.sg/soe_research/1597
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Comments
Published in Theoretical Economics https://doi.org/10.3982/TE1972