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A mathematical programming model for the coexistence of competitions and cooperations problems. (English) Zbl 1162.91324

Summary: We study in this paper a mathematical programming model for the coexistence of competitions and cooperations problems. We introduce a new solution concept, \(s\)-optimal solution for the problem, which always exists under compact and continuous conditions. It is shown that an \(s\)-optimal solution can be obtained by solving a nonlinear programming problem. Some examples are given to explain how to compute an \(s\)-optimal solution.

MSC:

91A35 Decision theory for games
90C30 Nonlinear programming
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