Meng, Zhiqing; Hu, Qiying; Dang, Changyan A mathematical programming model for the coexistence of competitions and cooperations problems. (English) Zbl 1162.91324 J. Syst. Sci. Complex. 18, No. 4, 556-563 (2005). 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. Cited in 2 Documents MSC: 91A35 Decision theory for games 90C30 Nonlinear programming PDFBibTeX XMLCite \textit{Z. Meng} et al., J. Syst. Sci. Complex. 18, No. 4, 556--563 (2005; Zbl 1162.91324)