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Single-basined choice

  • Bossert W.
  • Peters H.J.M.

    (GSBE)

Single-basined preferences generalize single-dipped preferences by allowing for multiple worst elements. These preferences have played an important role in areas such as voting, strategy-proofness and matching problems. We examine the notion of single-basinedness in a choice-theoretic setting. In conjunction with independence of irrelevant alternatives, single-basined choice implies a structure that conforms to the motivation underlying our definition. We also establish the consequences of requiring single-basined choice correspondences to be upper semicontinuous, and of the revealed preference relation to be Suzumura consistent.

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File URL: http://pub.maastrichtuniversity.nl/7e06f15f-8d5b-4a36-a182-25376f77a308
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Paper provided by Maastricht University, Graduate School of Business and Economics (GSBE) in its series Research Memorandum with number 030.

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Date of creation: 2013
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Handle: RePEc:unm:umagsb:2013030
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  1. Salvador Barberà & Dolors Berga & and Bernardo Moreno, 2009. "Domains, Ranges and Strategy-Proofness: The Case of Single-dipped Preferences," Working Papers 418, Barcelona Graduate School of Economics.
  2. 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).
  3. Dolors Berga & Bernardo Moreno, 2008. "Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences," Working Papers 2008-7, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  4. Bossert, Walter & Suzumura, Kotaro, 2009. "Consistency, Choice and Rationality," PIE/CIS Discussion Paper 428, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  5. 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.
  6. Martin Besfamille & Jean-Marie Lozachmeur, 2010. "NIMBY and mechanism design under different constitutional constraints," International Tax and Public Finance, Springer, vol. 17(2), pages 114-132, April.
  7. Dutta, Bhaskar & Peters, Hans & Sen, Arunava, 2002. "Strategy-Proof Probabilistic Mechanisms in Economies with Pure Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 392-416, October.
  8. Denis Lescop, 2007. "Optimal mechanisms for siting noxious facilities," Review of Economic Design, Springer, vol. 10(4), pages 273-284, March.
  9. Lars Ehlers, 2002. "Probabilistic allocation rules and single-dipped preferences," Social Choice and Welfare, Springer, vol. 19(2), pages 325-348.
  10. BOSSERT, Walter & PETERS, Hans, 2006. "Single-Peaked Choice," Cahiers de recherche 11-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  11. Miguel Ballester & Guillaume Haeringer, 2011. "A characterization of the single-peaked domain," Social Choice and Welfare, Springer, vol. 36(2), pages 305-322, February.
  12. Ehlers, Lars & Storcken, Ton, 2008. "Arrow's Possibility Theorem for one-dimensional single-peaked preferences," Games and Economic Behavior, Elsevier, vol. 64(2), pages 533-547, November.
  13. 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.
  14. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
  15. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  16. 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.
  17. Lars Ehlers, 2002. "Strategy-proof allocation when preferences are single-plateaued," Review of Economic Design, Springer, vol. 7(1), pages 105-115.
  18. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
  19. 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).
  20. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  21. Berga, Dolors, 1998. "Strategy-proofness and single-plateaued preferences," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 105-120, March.
  22. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
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