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Stochastic optimization problems with second order stochastic dominance constraints via Wasserstein metric

Vlasta KaňkováVadim Omelčenko — 2018

Kybernetika

Optimization problems with stochastic dominance constraints are helpful to many real-life applications. We can recall e. g., problems of portfolio selection or problems connected with energy production. The above mentioned constraints are very suitable because they guarantee a solution fulfilling partial order between utility functions in a given subsystem 𝒰 of the utility functions. Especially, considering 𝒰 : = 𝒰 1 (where 𝒰 1 is a system of non decreasing concave nonnegative utility functions) we obtain...

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