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Solidarity for public goods under single-peaked preferences: characterizing target set correspondences

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  • Bettina Klaus

    (University of Lausanne)

  • Panos Protopapas

    (University of Lausanne)

Abstract

We consider the problem of choosing a set of locations of a public good on the real line $${\mathbb {R}}$$ R when agents have single-peaked preferences over points. We ordinally extend preferences over compact subsets of $${\mathbb {R}}$$ R , and extend the results of Ching and Thomson (1996), Vohra (1999), and Klaus (2001) to choice correspondences. We show that efficiency and replacement-dominance characterize the class of target point functions (Corollary 2) while efficiency and population-monotonicity characterize the class of target set correspondences (Theorem 1).

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:55:y:2020:i:3:d:10.1007_s00355-020-01245-3
    DOI: 10.1007/s00355-020-01245-3
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    as
    1. Sidartha Gordon, 2007. "Solidarity in choosing a location on a cycle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 125-147, July.
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    6. 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.
    7. repec:bla:jpbect:v:3:y:2001:i:2:p:167-84 is not listed on IDEAS
    8. Sidartha Gordon, 2015. "Unanimity in attribute-based preference domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 13-29, January.
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    15. Gordon, Sidartha, 2007. "Public decisions: Solidarity and the status quo," Games and Economic Behavior, Elsevier, vol. 61(2), pages 225-241, November.
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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.
    2. Lars Ehlers, 2022. "Three public goods and lexicographic preferences: replacement principle," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 367-384, September.
    3. 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

    Single-peaked preferences; Population-monotonicity; Replacement-dominance; Target point functions; Target set correspondences;
    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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