Essays on Pareto Optimality in Cooperative Games
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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.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.
Studies Pareto optimality in stochastic differential game and difference game Presents the LQ Pareto game for stochastic singular systems Focuses on the Pareto-based guaranteed cost control problem for uncertain mean-field stochastic systems
Autor*in
Yaning Lin
Themen in »Essays on Pareto Optimality in Cooperative Games«
Pareto optimality stochastic differential game LQ stochastic optimal control theory LQ Pareto game stochastic singular systems generalized differential/algebraic Riccati equations Pareto-based guaranteed cost control uncertain mean-field stochastic systems cross-coupled generalized algebraic Riccati equations linear matrix inequality cooperative game discrete-time systems
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“The book provides a concise, clear summary of its subject matter. It will be a valuable reference for researchers looking to apply models of cooperative dynamic games in their work.” (Thomas Wiseman, zbMATH 1519.91003, 2023)
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