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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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    Cited by:

    1. is not listed on IDEAS
    2. Carmelo Rodríguez-à lvarez, 2024. "Strategy-Proof Social Choice Correspondences and Single Peaked Preferences," Documentos de Trabajo del ICAE 2024-02, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    3. Patrick Lederer, 2025. "Robust Voting Rules on the Interval Domain," Papers 2509.04874, arXiv.org.
    4. Hans Gersbach & Kremena Valkanova, 2024. "Voting with Random Proposers: Two Rounds May Suffice," Papers 2410.20476, arXiv.org, revised Oct 2025.
    5. Hans Gersbach, 2025. "Propose or Vote: A Canonical Democratic Procedure," Papers 2506.05998, arXiv.org, revised Dec 2025.
    6. Bettina Klaus & Panos Protopapas, 2020. "On strategy-proofness and single-peakedness: median-voting over intervals," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1059-1080, December.
    7. Adrian Fernández-Pérez & Marta Gómez-Puig & Simón Sosvilla-Rivero, 2025. "Hot Property: A Spatial Analysis of Temperature and Housing Prices in Spain," Documentos de Trabajo del ICAE 2025-04, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.

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    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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