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

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  • 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, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:9403002
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    References listed on IDEAS

    as
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    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. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    4. Anderson, Robert M., 1992. "The core in perfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 14, pages 413-457, Elsevier.
    5. 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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