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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