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Solidarity Properties of Choice Correspondences

Author

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  • Bettina Klaus
  • Panos Protopapas

Abstract

We consider the problem of choosing a set of locations of a public good on the real line. Similarly to Klaus and Storcken (2002), we ordinally extend the agents' preferences over compact subsets of the real line, and extend the results of Ching and Thomson (1996), Vohra (1909), and Klaus (2001) to choice correspondences. Specifically, we show that Pareto-efficiency and either population-monotonicity or one-sided replacement-domination characterize the class of target set correspondences on the domains of single-peaked preferences and symmetric single-peaked preferences.

Suggested Citation

  • 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.
    • Handle: RePEc:lau:crdeep:16.14
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    File URL: http://hec.unil.ch/attachments/deep/series/2016/16.14.pdf
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    References listed on IDEAS

    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.
    2. Masashi Umezawa, 2012. "The replacement principle for the provision of multiple public goods on tree networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 211-235, February.
    3. Ehlers, Lars, 2002. "Multiple public goods and lexicographic preferences: replacement principle," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 1-15, February.
    4. Harless, Patrick, 2015. "Solidarity with respect to small changes in preferences in public good economies with single-peaked preferences," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 81-86.
    5. Bettina Klaus, 2001. "Target Rules for Public Choice Economies on Tree Networks and in Euclidean Spaces," Theory and Decision, Springer, vol. 51(1), pages 13-29, August.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Protopapas, Panos, 2018. "On strategy-proofness and single-peakedness: median-voting over intervals," MPRA Paper 83939, University Library of Munich, Germany.

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    More about this item

    Keywords

    choice correspondences; Pareto-eciency; population-monotonicity; replacement-domination; single-peaked preferences; solidarity;
    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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