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

  • Öztürk Murat
  • Peters Hans
  • Storcken Ton

    (METEOR)

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.

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Paper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 041.

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Date of creation: 2012
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Handle: RePEc:unm:umamet:2012041
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  1. Klaus, Bettina, 2001. "Coalitional Strategy-Proofness in Economies with Single-Dipped Preferences and the Assignment of an Indivisible Object," Games and Economic Behavior, Elsevier, vol. 34(1), pages 64-82, January.
  2. Berliant, Marcus & Peng, Shin-Kun & Wang, Ping, 2013. "Taxing Pollution: Agglomeration and Welfare Consequences," MPRA Paper 45520, University Library of Munich, Germany.
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  5. 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.
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  11. Toyotaka Sakai, 2012. "Fair waste pricing: an axiomatic analysis to the NIMBY problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 499-521, June.
  12. Lars Ehlers, 2002. "Probabilistic allocation rules and single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(2), pages 325-348.
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  15. Klaus, Bettina & Peters, Hans & Storcken, Ton, 1997. "Strategy-proof division of a private good when preferences are single-dipped," Economics Letters, Elsevier, vol. 55(3), pages 339-346, September.
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