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Stochastic Programming with Equilibrium Constraints
Authors:A Shapiro
Institution:(1) School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia
Abstract:In this paper, we discuss here-and-now type stochastic programs with equilibrium constraints. We give a general formulation of such problems and study their basic properties such as measurability and continuity of the corresponding integrand functions. We discuss also the consistency and rate of convergence of sample average approximations of such stochastic problems
Keywords:Equilibrium constraints  two-stage stochastic programming  variational inequalities  complementarity conditions  statistical inference  exponential rates
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