Titlebook: Essays on Pareto Optimality in Cooperative Games; Yaning Lin,Weihai Zhang Book 2022 Springer Nature Singapore Pte Ltd. 2022 Pareto optimal

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,LQ Pareto Game of?the?Stochastic Singular Systems in?Finite Horizon,ochastic singular systems is investigated. By introducing a new GDRE, we present a sufficient condition for the solvability of the optimization problem. In addition, we introduce two conditions to ensure the existence and uniqueness of the solution to the GDRE. Then, for the finite horizon stochasti

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細絲

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978-981-19-5051-3Springer Nature Singapore Pte Ltd. 2022

Indigence

CHANT

Introduction,In this chapter, we introduce the research background of this book, outline the definition and some basic characterizations of Pareto optimality and review the research status of Pareto optimality in cooperative differential games as well as various strategies in difference games.

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,Hints for the user of “Comecon Data”,d on the equivalent characterization of Pareto optimality, the problem is transformed into a set of constrained stochastic optimal control problems with a special structure. Employing the stochastic Pontryagin’s minimum principle, necessary conditions for the existence of Pareto-efficient strategies

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,Hints for the user of “COMECON DATA”,ty, necessary conditions for the existence of Pareto solutions are presented under certain assumption on the Lagrange multiplier set. Furthermore, a condition is introduced to guarantee that the above assumption is established for the LQ case. In addition, the sufficient conditions for a control to