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

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  • Protopapas, Panos

Abstract

We study solutions that choose an interval of alternatives when agents have single-peaked preferences. Similar to Klaus and Storcken (2002), we ordinally extend these preferences over intervals. Loosely speaking, we extend the results of Moulin (1980) to our setting and show that the results of Ching (1997) cannot always be similarly extended. Our main results are the following. First, strategy-proofness and peaks-onliness characterize the class of generalized median solutions. Second, although peaks-onliness cannot be replaced by the "weaker" property of continuity in our first result -as is the case in Ching (1997)- this equivalence is achieved when voter-sovereignty is also required. Finally, if preferences are symmetric and single-peaked, strategy-proofness and voter-sovereignty characterize the class of efficient generalized median solutions.

Suggested Citation

  • Protopapas, Panos, 2018. "On strategy-proofness and single-peakedness: median-voting over intervals," MPRA Paper 83939, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:83939
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    References listed on IDEAS

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    1. Bettina Klaus & Ton Storcken, 2002. "Choice correspondences for public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 127-154.
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    12. Bettina Klaus & Panos Protopapas, 2016. "Solidarity Properties of Choice Correspondences," Cahiers de Recherches Economiques du Département d'économie 16.14, Université de Lausanne, Faculté des HEC, Département d’économie.
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    Social choice; strategy proofness; single peaked preferences; choice correspondences; voting; median solutions;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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