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Abstract

We shall be concerned with games involving a number of players. The rules of the game assign to each player a cost function of all the players’decisions as well as the sets from which these decisions may be selected.

Keywords

Nash Equilibrium Cooperative Game Differential Game Player Game Cooperative Play 
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 1.

  1. [1.1]
    Vincent, T.L. and Leitmann, G., Control Space Properties of Cooperative Games, J. Optim. Theory Appl., Vol. 6, No. 2, 1970.Google Scholar
  2. [1.2]
    Leitmann, G., Rocklin, S. and Vincent, T.L., A Note on Control Space Properties of Cooperative Games, J. Optim. Theory Appl., Vol. 9, No. 6, 1972.Google Scholar
  3. [1.3]
    Yu, P.L. and Leitmann, G., Compromise Solutions, Domination Structures and Salukvadze’s Solution, J. Optim. Theory Appl., Vol. 13, No. 3, 1974.Google Scholar
  4. [1.4]
    Pareto, V., Manuel d’économique politique, Girard et Briere, Paris, 1909.Google Scholar
  5. [1.5]
    Nash, J., Non-Cooperative Games, Annals of Mathematics, Vol. 54, No. 2, 1951.Google Scholar
  6. [1.6]
    Ho, Y.C., Differential Games, Dynamic Optimization and Generalized Control Theory, J. Optim. Theory Appl., Vol. 6, No. 3, 1970.Google Scholar
  7. [1.7]
    Simaan, M. and Cruz, J.B., jr., On the Stackelberg Strategy in Nonzero-Sum Games, J. Optim. Theory Appl., Vol. 11, No. 5, 1973.Google Scholar

Copyright information

© Springer-Verlag Wien 1974

Authors and Affiliations

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

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