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Strategy-proof location of a public bad on a disc

Author

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  • Öztürk, Murat
  • Peters, Hans
  • Storcken, Ton

Abstract

In a model with finitely many agents who have single-dipped Euclidean preferences on a disc in the Euclidean plane, a rule assigns to each profile of reported dips a point of the disc. It is proved that any strategy-proof and Pareto optimal rule is dictatorial. This framework models situations where public bads such as garbage dumping grounds or nuclear plants have to be located within a confined region that has the shape of a disc.

Suggested Citation

  • Öztürk, Murat & Peters, Hans & Storcken, Ton, 2013. "Strategy-proof location of a public bad on a disc," Economics Letters, Elsevier, vol. 119(1), pages 14-16.
    • Handle: RePEc:eee:ecolet:v:119:y:2013:i:1:p:14-16
    DOI: 10.1016/j.econlet.2013.01.012
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    References listed on IDEAS

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    1. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Domains, ranges and strategy-proofness: the case of single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 335-352, July.
    2. Kunreuther, Howard & Kleindorfer, Paul R, 1986. "A Sealed-Bid Auction Mechanism for Siting Noxious Facilities," American Economic Review, American Economic Association, vol. 76(2), pages 295-299, May.
    3. Murat Öztürk & Hans Peters & Ton Storcken, 2014. "On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 83-108, May.
    4. Bengt Hansson, 1976. "The existence of group preference functions," Public Choice, Springer, vol. 28(1), pages 89-98, December.
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    Citations

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    Cited by:

    1. Bossert, Walter & Peters, Hans, 2014. "Single-basined choice," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 162-168.
    2. Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.
    3. Laurence Kranich, 2019. "Divide-and-choose with nonmonotonic preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 271-276, December.
    4. Murat Öztürk & Hans Peters & Ton Storcken, 2014. "On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 83-108, May.
    5. Abhinaba Lahiri & Ton Storcken, 2019. "Strategy-proof location of public bads in an interval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 49-62, June.
    6. Doudou Gong & Bas Dietzenbacher & Hans Peters, 2024. "Mechanisms and axiomatics for division problems with single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 789-813, November.
    7. Peters, Hans & Roy, Souvik & Sadhukhan, Soumyarup & Storcken, Ton, 2017. "An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 84-90.
    8. Lahiri, Abhinaba & Peters, Hans & Storcken, Ton, 2017. "Strategy-proof location of public bads in a two-country model," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 150-159.
    9. Chatterjee, Swarnendu & Peters, Hans & Storcken, Ton, 2016. "Locating a public good on a sphere," Economics Letters, Elsevier, vol. 139(C), pages 46-48.
    10. Dietzenbacher, Bas & Tamura, Yuki, 2023. "Fair and efficient allocations when preferences are single-dipped," Research Memorandum 009, Maastricht University, Graduate School of Business and Economics (GSBE).
    11. Yamamura, Hirofumi, 2016. "Coalitional stability in the location problem with single-dipped preferences: An application of the minimax theorem," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 48-57.

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    More about this item

    Keywords

    Single-dipped preferences; Strategy-proofness; Noxious facilities;
    All these keywords.

    JEL classification:

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

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