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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…mehr

Produktbeschreibung
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. TOC: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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  • Produktdetails
  • Verlag: Springer-Verlag GmbH
  • Erscheinungstermin: 21.05.2006
  • Englisch
  • ISBN-13: 9783540320616
  • Artikelnr.: 37372150
Autorenporträt
Theodorus S. H. Driessen, University of Twente, Enschede, The Netherlands / Gerardus van der Laan, Free University of Amsterdam, The Netherlands / Valeri A. Vasil`ev, Russian Academy of Sciences, Novosibirsk, Russia / Elena Yanovskaya, Russian Academy of Sciences, St. Petersburg, Russia
Inhaltsangabe
Sufficient conditions for existence of Mi1-bargaining sets.- 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.