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

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  • Bettina Klaus
  • Panos Protopapas

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).

Suggested Citation

  • Bettina Klaus & Panos Protopapas, 2020. "On strategy-proofness and single-peakedness:median-voting over intervals," Cahiers de Recherches Economiques du Département d'économie 20.04, Université de Lausanne, Faculté des HEC, Département d’économie.
  • Handle: RePEc:lau:crdeep:20.04
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    References listed on IDEAS

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    1. Vohra, Rakesh V., 1999. "The replacement principle and tree structured preferences," Economics Letters, Elsevier, vol. 63(2), pages 175-180, May.
    2. Bettina Klaus & Panos Protopapas, 2020. "Solidarity for public goods under single-peaked preferences: characterizing target set correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 405-430, October.
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    More about this item

    Keywords

    correspondences; generalized median correspondences; single-peaked preferences; strategy-proofness;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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