Two-Person Zero-Sum Games

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


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.


Collective Bargaining Differential Game Admissible Strategy Strategy Pair Total Wage 


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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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