Vasil’ev, F. P.; Stukalov, A. S. Approximation of an equilibrium problem with respect to the argument. (Russian, English) Zbl 1072.91002 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 1972-1982 (2004); translation in Comput. Math. Math. Phys. 44, No. 11, 1875-1884 (2004). Necessary and sufficient conditions for the approximation of the abstract equilibrium problem in terms of the argument are formulated and proved. The results are applied to the two-person Nash game in which the behavior of each player is described by a system of linear differential equations and a terminal functional. Reviewer: Evgenij Nechaev (Moskva) MSC: 91A10 Noncooperative games 49K40 Sensitivity, stability, well-posedness 90C31 Sensitivity, stability, parametric optimization 90C47 Minimax problems in mathematical programming 91A05 2-person games 91A23 Differential games (aspects of game theory) Keywords:equilibrium problem; Nash game; linear differential equations PDF BibTeX XML Cite \textit{F. P. Vasil'ev} and \textit{A. S. Stukalov}, Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 1972--1982 (2004; Zbl 1072.91002); translation in Comput. Math. Math. Phys. 44, No. 11, 1875--1884 (2004) OpenURL