The golden rule of ethics : a dynamic game-theoretic framework based on berge equilibrium / Vladislav I. Zhukovskiy, Moscow State University, Russia, Mindia E. Salukvadze, Tbilisi State University, Georgia.

By: Zhukovskiĭ, Vladislav Iosifovich [author.]Contributor(s): Salukvadze, M. E. (Mindii︠a︡ Evgenʹevich) [author.]Material type: TextTextSeries: Communications in cybernetics, systems science and engineering, volume 10Publisher: Boca Raton : CRC Press, [2021]Description: 1 online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781003134541; 1003134548; 9781000370751; 1000370755; 9781000370775; 1000370771Uniform titles: Dinamika zolotogo pravila nravstennosti. English Subject(s): Game theory | Multiple criteria decision making | Golden rule -- Mathematics | Evolutionary computation | Conflict management -- Mathematics | Equilibrium | MATHEMATICS / General | MATHEMATICS / Game Theory | MATHEMATICS / AppliedDDC classification: 519.3 LOC classification: QA269Online resources: Taylor & Francis | OCLC metadata license agreement Summary: "This book synthesizes the game-theoretic modeling of decision-making processes and an ancient moral requirement, called the Golden Rule of ethics (GR). This rule states, "Behave to others as you would like them to behave to you." The GR is one of the oldest, most widespread and specific moral requirements that appear in Christianity, Islam, Judaism, Buddhism, and Confucianism. The book constructs and justifies mathematical models of dynamic socio-economic processes and phenomena that reveal the mechanism of the GR and are based on the concept of Berge equilibrium. The GR can be naturally used for resolving or balancing conflicts, and its "altruistic character" obviously excludes wars, blood-letting, and armed clashes. The previous book of the authors, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, covers the static case of the GR. In this book, the dynamic case of the GR is investigated using the altruistic concept of Berge equilibrium and three factors as follows: a) a modification of N.N. Krasovskii's mathematical formalization of differential positional games (DPGs), in view of the counterexamples given by A.I. Subbotin and A.F. Kononenko; b) the method of guiding control, proposed by N.N. Krasovskii; c) the Germeier convolution of the payoff functions of different players. Additionally, the book features exercises, problems, and solution tips collected together in Appendix 1, as well as new approaches to conflict resolution as presented in Appendices 2-4. The book will be of use to undergraduate and graduate students and experts in the field of decision-making in complex control and management systems, as well as anyone interested in game theory and applications"-- Provided by publisher.
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Translation of: Dinamika zolotogo pravila nravstennosti.

"This book synthesizes the game-theoretic modeling of decision-making processes and an ancient moral requirement, called the Golden Rule of ethics (GR). This rule states, "Behave to others as you would like them to behave to you." The GR is one of the oldest, most widespread and specific moral requirements that appear in Christianity, Islam, Judaism, Buddhism, and Confucianism. The book constructs and justifies mathematical models of dynamic socio-economic processes and phenomena that reveal the mechanism of the GR and are based on the concept of Berge equilibrium. The GR can be naturally used for resolving or balancing conflicts, and its "altruistic character" obviously excludes wars, blood-letting, and armed clashes. The previous book of the authors, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, covers the static case of the GR. In this book, the dynamic case of the GR is investigated using the altruistic concept of Berge equilibrium and three factors as follows: a) a modification of N.N. Krasovskii's mathematical formalization of differential positional games (DPGs), in view of the counterexamples given by A.I. Subbotin and A.F. Kononenko; b) the method of guiding control, proposed by N.N. Krasovskii; c) the Germeier convolution of the payoff functions of different players. Additionally, the book features exercises, problems, and solution tips collected together in Appendix 1, as well as new approaches to conflict resolution as presented in Appendices 2-4. The book will be of use to undergraduate and graduate students and experts in the field of decision-making in complex control and management systems, as well as anyone interested in game theory and applications"-- Provided by publisher.

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