On Strategy-proofness and the Salience of Single-peakedness
Catterji, Shurojit (Singapore Management University)
Massó, Jordi (Universitat Autònoma de Barcelona)

Date:	2017
Abstract:	We consider strategy-proof rules operating on a rich domain of preference profiles. We show that if the rule satisfies in addition tops-onlyness, anonymity and unanimity, then the preferences in the domain have to satisfy a variant of single-peakedness (referred to as semilattice single-peakedness). We do so by deriving from the rule an endogenous partial order (a semilattice) from which the concept of a semilattice single-peaked preference can be defined. We also provide a converse of this main finding. Finally, we show how well-known restricted domains under which nontrivial strategy-proof rules are admissible are semilattice single-peaked domains.
Grants:	Ministerio de Economía y Competitividad ECO2014-53051 Ministerio de Economía y Competitividad SEV-2015-0563 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-515
Note:	Chatterji would like to acknowledge research support from SMU grant number C244/MSS13E001 and thank KIER, Kyoto University for its hospitality. Massó would like to acknowledge finnancial support from the Spanish Ministry of Economy and Competitiveness, through Grant ECO2014-53051 and the Severo Ochoa Programme for Centers of Excellence in R&D (SEV-2015-0563), and from the Generalitat de Catalunya, through the research Grant SGR2014-515.
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Language:	Anglès
Document:	Article ; recerca ; Versió sotmesa a revisió
Subject:	Strategy-proofness ; Single-peakedness ; Anonymity ; Unanimity ; Tops-onlyness ; Semilattice
Published in:	International economic review, 2017 , ISSN 0020-6598

DOI: 10.1111/iere.12266

Preprint 42 p, 422.0 KB

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