Challenges in Stochastic Programming
A class of non-cooperative constrained games is analyzed for which the Ky Fan function is convex-concave. Nash equilibria of such games correspond to diagonal saddle points of the said function. This feature is exploited in designing computational algorithms for finding such equilibria.
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- Alexander Shapiro, 1993. "Asymptotic Behavior of Optimal Solutions in Stochastic Programming," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 829-845, November.
- László Somlyódy & Roger J.-B. Wets, 1988. "Stochastic Optimization Models for Lake Eutrophication Management," Operations Research, INFORMS, vol. 36(5), pages 660-681, October.
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- Zvi Artstein & Roger J-B. Wets, 1993. "Sensors and Information in Optimization Under Stochastic Uncertainty," Mathematics of Operations Research, INFORMS, vol. 18(3), pages 523-547, August.
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