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Autor(en): 
  • Vladislav I. Zhukovskiy
  • Mindia E. Salukvadze
  • The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   i.d.R. innert 14-24 Tagen versandfertig
    Veröffentlichung:  Februar 2020  
    Genre:  Wirtschaft / Recht 
     
    B / Calculus of variations / Calculus of Variations and Optimal Control; Optimization / Calculus of Variations and Optimization / game theory / Game Theory, Economics, Social and Behav. Sciences / Management & management techniques / Management science / Mathematics and Statistics / Operational research / Operations Research / Operations Research, Management Science / Optimization / Philosophy of Mathematics
    ISBN:  9783030255459 
    EAN-Code: 
    9783030255459 
    Verlag:  Springer International Publishing 
    Einband:  Gebunden  
    Sprache:  English  
    Serie:  Static & Dynamic Game Theory: Foundations & Applications  
    Dimensionen:  H 241 mm / B 160 mm / D 22 mm 
    Gewicht:  617 gr 
    Seiten:  300 
    Zus. Info:  HC runder Rücken kaschiert 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    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.

     

      
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