On Strategy-proofness and the Salience of Single-peakedness

Jordi Masso and Shurojit Chatterji ()

UFAE and IAE Working Papers from Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC)

Abstract: We consider strategy-proof social choice functions operating on a rich domain of preference profiles. We show that if the social choice function 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 social choice function an endogenous partial order (a semilattice) from which the notion 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 social choice functions are admissible are semilattice single-peaked domains.

Keywords: Strategy-proofness; Single-peakedness, Anonymity; Unanimity; Tops-onlyness; Semilattice. (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 30
Date: 2015-05-17
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Working Paper: On Strategy-proofness and the Salience of Single-peakedness (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:aub:autbar:952.15

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