IDEAS home Printed from
MyIDEAS: Login to save this paper or follow this series

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

  • Öztürk Murat
  • Peters Hans
  • Storcken Ton


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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Our checks indicate that this address may not be valid because: 401 Unauthorized. If this is indeed the case, please notify (Charles Bollen)

Download Restriction: no

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

in new window

Date of creation: 2012
Date of revision:
Handle: RePEc:unm:umamet:2012041
Contact details of provider: Postal: P.O. Box 616, 6200 MD Maastricht
Phone: +31 (0)43 38 83 830
Web page:

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  2. Berliant, Marcus & Peng, Shin-Kun & Wang, Ping, 2013. "Taxing Pollution: Agglomeration and Welfare Consequences," MPRA Paper 45520, University Library of Munich, Germany.
  3. Öztürk Murat & Peters Hans & Storcken Ton, 2012. "Strategy-proof location of a public bad on a disc," Research Memorandum 042, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  4. Toyotaka Sakai, 2012. "Fair waste pricing: an axiomatic analysis to the NIMBY problem," Economic Theory, Springer, vol. 50(2), pages 499-521, June.
  5. Kirman, Alan P. & Sondermann, Dieter, 1972. "Arrow's theorem, many agents, and invisible dictators," Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
  6. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2009. "Single-dipped preferences," UFAE and IAE Working Papers 801.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  7. Denis Lescop, 2007. "Optimal mechanisms for siting noxious facilities," Review of Economic Design, Springer, vol. 10(4), pages 273-284, March.
  8. Border, Kim C & Jordan, J S, 1983. "Straightforward Elections, Unanimity and Phantom Voters," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 153-70, January.
  9. 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 295-99, May.
  10. Lars Ehlers, 2002. "Probabilistic allocation rules and single-dipped preferences," Social Choice and Welfare, Springer, vol. 19(2), pages 325-348.
  11. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  12. 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.
  13. Bengt Hansson, 1976. "The existence of group preference functions," Public Choice, Springer, vol. 28(1), pages 89-98, December.
  14. Martin Besfamille & Jean-Marie Lozachmeur, 2008. "NIMBY and mechanism design under different constitutional constraints," Department of Economics Working Papers 2008-11, Universidad Torcuato Di Tella.
  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.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:unm:umamet:2012041. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Charles Bollen)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.