Golden Rule of Ethics: A Dynamic Game-Theoretic Framework Based on Berge Equilibrium

This book combines game-theoretic modeling of decision-making processes with the Golden Rule of ethics (GR), which states to behave to others as you would like them to behave to you. It investigates the dynamic case of the GR using the altruistic concept of Berge equilibrium and three factors: a modification of N.N. Krasovskiis mathematical formalization of differential positional games, the method of guiding control, and the Germier convolution of the payoff functions of different players. It is useful for undergraduate and graduate students, experts in decision-making, and anyone interested in game theory and applications.

Format: Hardback
Length: 306 pages
Publication date: 16 April 2021
Publisher: Taylor & Francis Ltd

This comprehensive work synthesizes game-theoretic modeling of decision-making processes and an ancient moral requirement known as the Golden Rule of ethics (GR). The GR, one of the oldest, most widespread, and specific moral requirements found in Christianity, Islam, Judaism, Buddhism, and Confucianism, states that individuals should treat others as they would like to be treated.

The book develops and defends mathematical models of dynamic socio-economic processes and phenomena that elucidate the mechanism of the GR and are grounded in the concept of Berge equilibrium. By employing the altruistic notion of Berge equilibrium, the book investigates the dynamic case of the GR, considering three factors: a modification of N.N. Krasovskii's mathematical formalization of differential positional games (DPGs), the method of guiding control proposed by Krasovskii, and the Germier convolution of the payoff functions of different players. Additionally, the book includes exercises, problems, and solution tips compiled in Appendix 1, as well as innovative approaches to conflict resolution presented in Appendices 2 to 4.

This book is designed to serve as a valuable resource for undergraduate and graduate students, as well as experts in the field of decision-making in complex control and management systems, and anyone with an interest in game theory and its applications. Its comprehensive coverage and insightful analysis make it an essential read for scholars and practitioners alike.

Weight: 734g
Dimension: 260 x 276 x 25 (mm)
ISBN-13: 9780367681791