Essays on Pareto Optimality in Cooperative Games

Yaning Lin, Weihai Zhang

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Beschreibung

The book focuses on Pareto optimality in cooperative games. Most of the existing works focus on the Pareto optimality of deterministic continuous-time systems or for the regular convex LQ case. To expand on the available literature, we explore the existence conditions of Pareto solutions in stochastic differential game for more general cases. In addition, the LQ Pareto game for stochastic singular systems, Pareto-based guaranteed cost control for uncertain mean-field stochastic systems, and the existence conditions of Pareto solutions in cooperative difference game are also studied in detail.

Addressing Pareto optimality for more general cases and wider systems is one of the major features of the book, making it particularly suitable for readers who are interested in multi-objective optimal control. Accordingly, it offers a valuable asset for researchers, engineers, and graduate students in the fields of control theory and control engineering, economics, management science,mathematics, etc.

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Schlagwörter

stochastic singular systems, uncertain mean-field stochastic systems, LQ Pareto game, Pareto optimality, discrete-time systems, Pareto-based guaranteed cost control, linear matrix inequality, generalized differential/algebraic Riccati equations, cross-coupled generalized algebraic Riccati equations, cooperative game, LQ stochastic optimal control theory, stochastic differential game