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A Characterization Of Single-Peaked Preferences Via Random Social Choice Functions, Shurojit Chatterji, Arunava Sen, Huaxia Zeng
A Characterization Of Single-Peaked Preferences Via Random Social Choice Functions, Shurojit Chatterji, Arunava Sen, Huaxia Zeng
Research Collection School Of Economics
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 (Barber\303\240 2010).