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Revealed group preferences on non-convex choice problems

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Author Info

  • Efe A. Ok

    ()
    (Department of Economics, New York University, 269 Mercer St., New York, NY 10003, USA)

  • Lin Zhou

    (Department of Economics, Duke University, Durham, NC 27708, USA)

Abstract

This paper studies the conditions under which the basic results of the revealed preference theory can be established on the domain of choice problems which include non-convex feasible sets; the exercise is closely related to the works of Peters and Wakker (1991) and Bossert (1994). We show that while no continuous choice function can satisfy strong Pareto optimality over the class of all compact and comprehensive choice problems, strong Pareto optimality, Arrow's choice axiom, upper hemicontinuity and a weak compromisation postulate turn out to be necessary and sufficient to represent choice correspondences by continuous, strictly increasing and quasiconcave real-valued functions. Some applications of our main findings to axiomatic bargaining theory are also studied.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 13 (1999)
Issue (Month): 3 ()
Pages: 671-687

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Handle: RePEc:spr:joecth:v:13:y:1999:i:3:p:671-687

Note: Received: December 2, 1996; revised version: February 27, 1998
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Cited by:
  1. M. Hinojosa & A. Mármol & J. Zarzuelo, 2008. "Inequality averse multi-utilitarian bargaining solutions," International Journal of Game Theory, Springer, vol. 37(4), pages 597-618, December.
  2. Miguel Ángel Hinojosa & Amparo Mª Mármol & José Manuel Zarzuelo, 2007. "Multi-Utilitarian Bargaining Solutions," Working Papers 07.13, Universidad Pablo de Olavide, Department of Economics.
  3. Ok, Efe A. & Zhou, Lin, 1997. "The Choquet Bargaining Solutions," Working Papers 97-36, C.V. Starr Center for Applied Economics, New York University.
  4. John Quah & Hiroki Nishimura & Efe A. Ok, 2013. "A Unified Approach to Revealed Preference Theory: The Case of Rational Choice," Economics Series Working Papers 686, University of Oxford, Department of Economics.

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