On strategy-proofness and single-peakedness:median-voting over intervals

Bettina Klaus () and Panos Protopapas

Cahiers de Recherches Economiques du Département d'économie from Université de Lausanne, Faculté des HEC, Département d’économie

Abstract: We study correspondences that choose an interval of alternatives when agents have single-peaked preferences over locations and ordinally extend their preferences over intervals. We extend the main results of Moulin (1980) to our setting and show that the results of Ching (1997) cannot always be similarly extended. First, strategy-proofness and peaks-onliness characterize the class of generalized median correspondences (Theorem 1). Second, this result neither holds on the domain of symmetric and single-peaked preferences, nor can in this result min/max continuity substitute peaks-onliness (see counter-Example 3). Third, strategy-proofness and voter-sovereignty characterize the class of ecient generalized median correspondences (Theorem 2).

Keywords: correspondences; generalized median correspondences; single-peaked preferences; strategy-proofness (search for similar items in EconPapers)
JEL-codes: C71 D63 D78 H41 (search for similar items in EconPapers)
Pages: 26 pp.
Date: 2020-07
New Economics Papers: this item is included in nep-cdm, nep-des, nep-mic, nep-ore and nep-upt
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Related works:
Journal Article: On strategy-proofness and single-peakedness: median-voting over intervals (2020)
Working Paper: On strategy-proofness and single-peakedness: median-voting over intervals (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:lau:crdeep:20.04

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