Overview
- Suggests a possible way to resolve conflicts without violence
- Combines the Berge equilibrium with the Golden Rule
- Puts the Golden Rule into a Game Theory perspective
Part of the book series: Static & Dynamic Game Theory: Foundations & Applications (SDGTFA)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
About this book
The goal of this book is to elaborate on the main principles of the theory of the Berge equilibrium by answering the following two questions: What are the basic properties of the Berge equilibrium? Does the Berge equilibrium exist, and how can it be calculated?
The Golden Rule of ethics, which appears in Christianity, Judaism, Islam, Buddhism, Confucianism and other world religions, states the following: “Behave towards others as you would like them to behave towards you." In any game, each party of conflict seeks to maximize some payoff. Therefore, for each player, the Golden Rule is implemented through the maximization of his/her payoff by all other players, which matches well with the concept of the Berge equilibrium.
The approach presented here will be of particular interest to researchers (including undergraduates and graduates) and economists focused on decision-making under complex conflict conditions. The peaceful resolution of conflicts is the cornerstone of the approach: as a matter of fact, the Golden Rule precludes military clashes and violence. In turn, the new approach requires new methods; in particular, the existence problems are reduced to saddle point design for the Germeier convolution of payoff functions, with further transition to mixed strategies in accordance with the standard procedure employed by E. Borel, J. von Neumann, J. Nash, and their followers. Moreover, this new approach has proven to be efficient and fruitful with regard to a range of other important problems in mathematical game theory, which are considered in the Appendix.
Authors and Affiliations
Bibliographic Information
Book Title: The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics
Authors: Mindia E. Salukvadze, Vladislav I. Zhukovskiy
Series Title: Static & Dynamic Game Theory: Foundations & Applications
DOI: https://doi.org/10.1007/978-3-030-25546-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-25545-9Published: 19 February 2020
Softcover ISBN: 978-3-030-25548-0Published: 26 August 2021
eBook ISBN: 978-3-030-25546-6Published: 18 February 2020
Series ISSN: 2363-8516
Series E-ISSN: 2363-8524
Edition Number: 1
Number of Pages: XXVI, 272
Number of Illustrations: 33 b/w illustrations, 1 illustrations in colour
Topics: Game Theory, Economics, Social and Behav. Sciences, Operations Research, Management Science, Calculus of Variations and Optimal Control; Optimization