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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2010 Volume 2, Issue 2, Pages 42–65 (Mi mgta34)

Strong equilibrium construction in a noncooperative differential game

Nikolay A. Zenkevich, Andrey V. Zyatchin

Graduate School of Management, Department of Operations Management, St. Petersburg University

Abstract: A strong equilibrium technique is proposed. It is based on a special scalarization of multicreteria problem. Sufficient conditions for strong equilibrium to exist are proved. The result is illustrated on asymmetric differential game with two players, where strong equilibrium is found in explicit form.

Keywords: differential game, Nash equilibrium, strong equilibrium.

UDC: 518.9+517.9
BBK: 65.050.2



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