“Duel” Problem, Differential Game Model

  • Jonas Mockus
Part of the Applied Optimization book series (APOP, volume 41)


In all three competition models, the Nash, the Walras, and the Inspector, the steady-state conditions were considered, for simplicity. In real life competition processes, dynamics are essential. Dynamical competition models may be represented as differential games. They are difficult for numerical and visual analysis, as usual (Friedman, 1971; Galperin and Zheng, 1991; Hajek, 1975; Isaacs, 1965; Krasovski, 1970; von Neumann and Morgenstern, 1953; Petrosyan, 1985; Petrosyan, 1993; Rodin, 1987). Therefore, one tries to make the dynamic competition models as simple as possible.


Mixed Strategy Pure Strategy Differential Game Discrete Optimization Firing Time 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Jonas Mockus
    • 1
  1. 1.Institute of Mathematics and InformaticsKaunas Technological UniversityLithuania

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