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Two-Person Zero-Sum Games

  • George Leitmann
Part of the International Centre for Mechanical Sciences book series (CISM, volume 190)

Abstract

As discussed in Section 1.3, two-person zero-sum games constitute an important class of Nash equilibrium games. Differential games of this class have been extensively treated, for instance in Refs. 5.1–5.4; here we shall only give those results which arise directly from specializing the N-person nonzero-sum case.

Keywords

Collective Bargaining Differential Game Admissible Strategy Strategy Pair Total Wage 
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 for Chapter 5

  1. [5.1]
    Isaacs, R., Differential Games Wiley, N.Y., 1965.Google Scholar
  2. [5.2]
    Blaquière, A. and Leitmann, G., Jeux Quantitatifs Gauthier-Villars, Paris, 1969.Google Scholar
  3. [5.3]
    Blaquière, A., Gérard, F., and Leitmann, G., Quantitative and Qualitative Games, Academic Press, N.Y., 1969.MATHGoogle Scholar
  4. [5.4]
    Friedman, A., Differential Games Wiley, N.Y., 1971.Google Scholar
  5. [5.5]
    Bryson, A.E., Jr., and Ho, Y.C., Applied Optimal Control Blaisdell, N.Y., 1969.Google Scholar
  6. [5.6]
    Stafford, H. and Leitmann, G., Sufficiency Conditions for Nash Equilibria iri N-Person Differential Games, in Topics in Differential Games (ed. A. Blaquière), North-Holland, Amsterdam, 1973.Google Scholar
  7. [5.7]
    Case, J.H., Toward a Theory of Many Player Differential Games, SIAM J. Control, Vol. 7, No. 2, 1969.Google Scholar
  8. [5.8]
    Stalford, H. and Leitmann., G., Sufficient Conditions for Optimality in Two-Person Zero-Sum Differential Games with State and Strategy Constraints, J. Math. Anal. Appl., Vol. 33, No. 3, 1971.Google Scholar
  9. [5.9]
    Leitmann, G., Collective Bargaining: A Differential Game, J. Optim. Theory Appl., Vol. 11, No. 4, 1973.Google Scholar

Copyright information

© Springer-Verlag Wien 1974

Authors and Affiliations

  • George Leitmann
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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