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The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics
Buch von Vladislav I. Zhukovskiy (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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

Inhaltsverzeichnis
- What Is the Golden Rule of Ethics?. - Static Case of the Golden Rule. - The Golden Rule Under Uncertainty. - Applications to Competitive Economic Models. - New Approaches to the Solution of Noncooperative Games and Multicriteria Choice Problems. - Conclusion.
Details
Erscheinungsjahr: 2020
Fachbereich: Volkswirtschaft
Genre: Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Buch
Seiten: 300
Reihe: Static & Dynamic Game Theory: Foundations & Applications
Inhalt: xxvi
272 S.
33 s/w Illustr.
1 farbige Illustr.
272 p. 34 illus.
1 illus. in color.
ISBN-13: 9783030255459
ISBN-10: 303025545X
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Zhukovskiy, Vladislav I.
Salukvadze, Mindia E.
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Static & Dynamic Game Theory: Foundations & Applications
Maße: 241 x 160 x 22 mm
Von/Mit: Vladislav I. Zhukovskiy (u. a.)
Erscheinungsdatum: 19.02.2020
Gewicht: 0,617 kg
preigu-id: 116808852
Zusammenfassung

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

Inhaltsverzeichnis
- What Is the Golden Rule of Ethics?. - Static Case of the Golden Rule. - The Golden Rule Under Uncertainty. - Applications to Competitive Economic Models. - New Approaches to the Solution of Noncooperative Games and Multicriteria Choice Problems. - Conclusion.
Details
Erscheinungsjahr: 2020
Fachbereich: Volkswirtschaft
Genre: Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Buch
Seiten: 300
Reihe: Static & Dynamic Game Theory: Foundations & Applications
Inhalt: xxvi
272 S.
33 s/w Illustr.
1 farbige Illustr.
272 p. 34 illus.
1 illus. in color.
ISBN-13: 9783030255459
ISBN-10: 303025545X
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Zhukovskiy, Vladislav I.
Salukvadze, Mindia E.
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Static & Dynamic Game Theory: Foundations & Applications
Maße: 241 x 160 x 22 mm
Von/Mit: Vladislav I. Zhukovskiy (u. a.)
Erscheinungsdatum: 19.02.2020
Gewicht: 0,617 kg
preigu-id: 116808852
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