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Russian Contributions to Game Theory and Equilibrium Theory [electronic resource] /edited by Theo S. H. Driessen, Gerard Laan, Valeri A. Vasil’ev, Elena B. Yanovskaya.

by Driessen, Theo S. H [editor.]; Laan, Gerard [editor.]; Vasil’ev, Valeri A [editor.]; Yanovskaya, Elena B [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Theory and Decision Library C:, Series C: Game Theory, Mathematical Programming and Operations Research: 39Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: X, 252 p. online resource.ISBN: 9783540320616.Subject(s): Economics | Economics, Mathematical | Economics/Management Science | Game Theory/Mathematical Methods | Economic TheoryDDC classification: 330.0151 | 330 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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