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On Symmetric Cournot-Nash Equilibrium Distributions in a Finite-Action, Atomless Game

  • M. Ali Khan
  • Ye Neng Sun
Part of the Studies in Economic Theory book series (ECON.THEORY, volume 1)

Abstract

We show that in a finite action, atomless game, every Cournot-Nash equilibrium distribution can “besymmetrized.” This yields an elementary proof of a result of Mas-Colell.

Keywords

Nash Equilibrium Measurable Subset Borel Probability Measure Infinite Dimensional Space Infinite Dimensional 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Hildenbrand, W., 1974, Core and Equilibria of a Large Economy, Princeton University Press, Princeton, New Jersey.Google Scholar
  2. Jamison, R. E., 1974, “A Quick Proof for a One-Dimensional Version of Liapunoff’s Theorem,” Amer. Math. Monthly 81, 507–508.CrossRefGoogle Scholar
  3. Khan, M. Ali, 1989, “On Cournot-Nash Equilibrium Distributions for Games with a Non-Metrizable Action Space and Upper Semi-Continuous Payoffs,” Trans. Amer. Math. Soc. 315, 126–146.Google Scholar
  4. Khan, M. Ali and Sun, Y., 1990, “On a Reformation of Cournot-Nash Equilibria,” J. Math. Anal. Appl. 146, 442–460.CrossRefGoogle Scholar
  5. Mas-Colell, A., 1984, “On a Theorem of Schmeidler,” J. Math. Econ. 13, 210206.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • M. Ali Khan
  • Ye Neng Sun

There are no affiliations available

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