Abstract
Considering first-order stochastic dominance constraints for random variables arising as optimal values of stochastic programs with linear recourse, verifiable sufficient conditions for metric regularity are presented. A growth condition developed in [R. Henrion and W. Römisch, Math. Program., 84 (1999), pp. 55--88] has a crucial role in the analysis of the present paper. Implications regarding stability and sensitivity of optimal values and optimal solutions of stochastic optimization problems involving the dominance constraints considered conclude the paper.
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