“Duel” Problem, Differential Game Model
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.
KeywordsLution Nash Librium Rium NASH
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