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A Taxonomy of Non-dictatorial Domains

Shurojit Chatterji () and Huaxia Zeng ()
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Shurojit Chatterji: School of Economics, Singapore Management University
Huaxia Zeng: Shanghai University of Finance and Economics

No 22-2020, Economics and Statistics Working Papers from Singapore Management University, School of Economics

Abstract: We provide an exhaustive classification of all preference domains that allow the design of unanimous social choice functions (henceforth, rules) that are non-dictatorial and strategy-proof. This taxonomy is based on a richness assumption and employs a simple property of two-voter rules called invariance. The preference domains that form the classification are semi-single-peaked domains (introduced by Chatterji et al. (2013)) and semi-hybrid domains (introduced here) which are two appropriate weakenings of the single-peaked domains, and which, more importantly, are shown to allow strategy-proof rules to depend on non-peak information of voters’ preferences. As a refinement of the classification, single-peaked domains and hybrid domains emerge as the only preference domains that force strategy-proof rules to be determined completely by the peaks of voters’ preferences. We also provide characterization results for strategy-proof rules on these domains.

Keywords: Strategy-proofness; invariance; path-connectedness; (semi)-singlepeaked preference; (semi)-hybrid preference (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 130 pages
Date: 2020-10-27
New Economics Papers: this item is included in nep-des, nep-mic and nep-sea
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