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Russian Contributions To Game Theory And Equilibrium Theory

Russian Contributions To Game Theory And Equilibrium Theory

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  • ISBN:9783540314059
  • Editorial: Springer Verlag
  • Fecha de la edición:
  • Colección: Theory and Decision Library C nº 39
  • Encuadernación:Tapa dura
  • Dimensiones: 0 cm x 0 cm
  • Nº Pág.:264
  • Idiomas:

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The research of Soviet scientists within the field of game theory, starting around 1965 under the supervision of N. N. Vorob'ev, one of the leading experts in the field, has resulted in many high-level publications. The purpose of this book is to report about the highly qualified research by Russian game theorists during the two decades 1968 - 1988 to the international readership. The book contains a collection of contributions in game theory and the related field of equilibrium theory which never had been published in English before. A short historical survey about the development of game theory in the USSR before 1990 is given in the introduction.

Introduction.- Noncooperative game theory and social choice: A probabilistic model of social choice.- Equilibrium points in general noncooperative games and their mixed extensions.- On the theory of optimality principles for noncooperative games.- Cooperative game theory: A sufficient condition for the coincidence of the core of a cooperative game with its solution.- On the Shapley function for games with an infinite number of players.- Cores and generalized NM-solutions for some classes of cooperative games.- Bargaining theory: The linear bargaining solution.- On the superlinear bargaining solution.- Stable compromises under corrupt arbitration.- Equilibrium theory: Stability of economic equilibrium.- An algorithmic approach for searching an equilibrium in fixed budget exchange models.- Equilibrated states and theorems on the core.

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