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On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences

Author

Listed:
  • Öztürk Murat
  • Peters Hans
  • Storcken Ton

    (METEOR)

Abstract

In a model with finitely many agents who have single-dipped Euclidean preferences on a polytope inthe Euclidean plane, a rule assigns to each profile of reported dips a point of the polytope. Asingle-best point is a point which is the unique point at maximal distance from some other pointof the polytope. It is proved that any strategy-proof and Pareto optimal rule is a dictatorshipunless the polytope has exactly two single-best points or it has exactly four single-best pointswhich form the vertices of a rectangle. In the latter cases strategy-proof and Pareto optimalrules can be obtained by committee voting (simple games) between the single-best alternatives.This framework models situations where public bads such as garbage dumping grounds or nuclearplants have to be located within a confined region.

Suggested Citation

  • Öztürk Murat & Peters Hans & Storcken Ton, 2012. "On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences," Research Memorandum 041, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2012041
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    References listed on IDEAS

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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. repec:eee:mateco:v:70:y:2017:i:c:p:1-28 is not listed on IDEAS
    3. Öztürk, Murat & Peters, Hans & Storcken, Ton, 2013. "Strategy-proof location of a public bad on a disc," Economics Letters, Elsevier, pages 14-16.
    4. 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.
    5. repec:eee:matsoc:v:90:y:2017:i:c:p:150-159 is not listed on IDEAS
    6. 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.
    7. 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.

    More about this item

    Keywords

    public economics ;

    JEL classification:

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

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