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Static & Dynamic Game Theory: Foundations & Applications

The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics

Authors: Salukvadze, Mindia, Zhukovskiy, Vladislav

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  • 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

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  • ISBN 978-3-030-25546-6
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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.

 


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-030-25546-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-25545-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics
Authors
Series Title
Static & Dynamic Game Theory: Foundations & Applications
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-25546-6
DOI
10.1007/978-3-030-25546-6
Hardcover ISBN
978-3-030-25545-9
Series ISSN
2363-8516
Edition Number
1
Number of Pages
XXVI, 272
Number of Illustrations
33 b/w illustrations, 1 illustrations in colour
Topics

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