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On Nash equilibrium points and games of imperfect information

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Abstract

This paper considers a class of two-player, nonzero-sum games in which the players have only local, as opposed to global, information about the payoff functions. We study various modes of behavior and their relationship to different stability properties of the Nash equilibrium points.

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References

  1. Case, J.,A Differential Game in Economics, University of Wisconsin, Mathematics Research Center, Report No. MRC-TSR-879, 1968.

  2. Rosen, J. B.,Existence and Uniqueness of Equilibrium Points for Concave N-Person Games, Econometrica, Vol. 33, No. 3, 1965.

  3. Lefschetz, S.,Differential Equations: Geometric Theory, John Wiley and Sons (Interscience Publishers), New York, 1957.

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  4. Turner, R. D.,A Heuristic Algorithm for Approximating Min-Max Strategies, Paper presented at the First International Conference on Theory and Application of Differential Games, Amherst, Massachusetts, 1969.

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Authors and Affiliations

  1. Department of Operations Research and Industrial Engineering, Johns Hopkins University, Baltimore, Maryland

    J. H. Case (Assistant Professor)

  2. Department of Statistics, Florida State University, Tallahassee, Florida

    G. Kimeldorf (Associate Professor)

Authors
  1. J. H. Case
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  2. G. Kimeldorf
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Communicated by Y. C. Ho

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Case, J.H., Kimeldorf, G. On Nash equilibrium points and games of imperfect information. J Optim Theory Appl 9, 302–323 (1972). https://doi.org/10.1007/BF00932931

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  • DOI: https://doi.org/10.1007/BF00932931

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