Differential games with parameters

  • J. Doležal
Differential Games
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)


In addition to the classical formulation of many-player differential games one of the players, say the first, can choose values of certain parameters to further decrease his pay-off functional with respect to its equilibrium (Nash) value. Such action causes clearly the changes in pay-off functionals of the remaining players, which can be both positive and negative, in general. For this problem a set of necessary optimality conditions is presented, which enable to determine not only equilibrium strategies of all participating players, but also optimal parameters. Based on these conditions a gradient-type algorithm is suggested, the use of which is illustrated on examples.


Differential Game Optimal Control Theory Quasilinearization Method Differential Game Problem Iterative Numerical Technique 
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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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. Doležal
    • 1
  1. 1.Institute of Information Theory and AutomationCzechoslovak Academy of SciencesPragueCzechoslovakia

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