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Semistochastic decomposition scheme in mathematical programming and game theory. (English) Zbl 0749.90075
Summary: This work deals with the optimization problem \(\sup_{x\in X}\inf_{y\in Y} S(x,y)\), which plays undoubtedly a crucial part in mathematical programming and game theory. On the basis of probability theory, a solution approach — semistochastic decomposition — is proposed. This method is finite with probability 1 without any hypothesis about convexity or differentiability as it is usually required in traditional methods.
90C30 Nonlinear programming
90-08 Computational methods for problems pertaining to operations research and mathematical programming
91A05 2-person games
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