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Preference restrictions for simple and strategy-proof rules: Local and weakly single-peaked domains

Agustín Bonifacio, Jordi Masso and Pablo Neme

Journal of Mathematical Economics, 2023, vol. 106, issue C

Abstract: We show that if a rule is strategy-proof, unanimous, anonymous and tops-only, then the preferences in its domain have to be local and weakly single-peaked, relative to a family of partial orders obtained from the rule by confronting at most three alternatives with distinct levels of support. Moreover, if this domain is enlarged by adding a non local and weakly single-peaked preference, then the rule becomes manipulable. We finally show that local and weak single-peakedness constitutes a weakening of known and well-studied restricted domains of preferences.

Keywords: Single-peakedness; Strategy-proofness; Anonymity; Unanimity; Tops-onlyness (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Related works:
Working Paper: Preference Restrictions for Simple and Strategy-Proof Rules: Local and Weakly Single-Peaked Domains (2022) Downloads
Working Paper: Preference Restrictions for Simple and Strategy-Proof Rules: Local and Weakly Single-Peaked Domains (2022) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:106:y:2023:i:c:s0304406823000381

DOI: 10.1016/j.jmateco.2023.102845

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