Essays on Pareto Optimality in Cooperative Games (eBook)
XIV, 160 Seiten
Springer Nature Singapore (Verlag)
978-981-19-5049-0 (ISBN)
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.
Yaning Lin received the M.S. degree in operations research and cybernetics from Shandong University, Jinan, China, and the Ph.D. degree in control theory and control engineering from Shandong University of Science and Technology, Qingdao, China, in 2008 and 2018, respectively. She is currently an associate professor with the Shandong University of Technology, Zibo, China. Her main research interests include game theory, stochastic systems, descriptor systems and optimal control.
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.
| Erscheint lt. Verlag | 21.9.2022 |
|---|---|
| Zusatzinfo | XIV, 160 p. 34 illus., 33 illus. in color. |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
| Naturwissenschaften | |
| Technik ► Elektrotechnik / Energietechnik | |
| Schlagworte | Cooperative Game • cross-coupled generalized algebraic Riccati equations • Discrete-time systems • generalized differential/algebraic Riccati equations • Linear Matrix Inequality • LQ Pareto game • LQ stochastic optimal control theory • Pareto-based guaranteed cost control • pareto optimality • stochastic differential game • stochastic singular systems • uncertain mean-field stochastic systems |
| ISBN-10 | 981-19-5049-0 / 9811950490 |
| ISBN-13 | 978-981-19-5049-0 / 9789811950490 |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
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