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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2010 Issue 31.1, Pages 51–77 (Mi ubs470)

Mathematical Control Theory

Strong equilibrium construction in a noncooperative differential game

N. A. Zenkevich, A. V. Zyatchin

Graduate School of Management

Abstract: In this paper a special technique based on scalarization of a vector criterion is used to construct a strong equilibrium in a differential game. Sufficient conditions for the existence of strong equilibrium are proved. This approach is tested on an example of an asymmetrical differential game of two players, where the strong equilibrium was found in the explicit form.

Keywords: differential game, Nash equilibrium, strong equilibrium.

UDC: 518.9 + 517.9
BBK: 65.050.2



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