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Convergence of the Aumann-Davis-Maschler and Geanakoplos Bargaining Sets

Author

Listed:
  • Robert M. Anderson

    (University of California at Berkeley)

Abstract

Geanakoplos defined a notion of bargaining set, and proved that his bargaining set is approximately competitive in large finite transferable utility exchange economies with smooth preferences. Shapley and Shubik showed that the Aumann-Davis-Maschler bargaining set is approximately competitive in replica sequences of TU exchange economies with smooth preferences. We extend Geanakoplos' result to nontransferable utility exchange economies without smooth preferences, and we extend the Shapley and Shubik result to non-replica sequences of NTU exchange economies with smooth preferences.

Suggested Citation

  • Robert M. Anderson, 1994. "Convergence of the Aumann-Davis-Maschler and Geanakoplos Bargaining Sets," Game Theory and Information 9403002, EconWPA.
  • Handle: RePEc:wpa:wuwpga:9403002
    Note: 37 pages, postscript file, compressed
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    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, March.
    2. Kim, Wan-Jin, 1986. "On the Rate of Convergence of the Core," Department of Economics, Working Paper Series qt62c3v2mg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    3. Wan-Jin Kim., 1986. "On the Rate of Convergence of the Core," Economics Working Papers 8617, University of California at Berkeley.
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    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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