EAN: 9783764323783

FOUNDATIONS OF GAME THEORY - NICOLAI N VOROBEV ...

The English edition differs only slightly from the Russian original. The main struc­ tural
difference is that all the material on the theory of finite noncooperative games has been
collected in Chapter 2  with renumbering of the material of the remain­ ing chapters. New
sections have been added in this chapter: devoted to general questions of equilibrium theory in
nondegenerate games  subsections 3.9-3.17  by N.N. Vorob'ev  Jr.  and § 4  by A.G. Chernyakov 
and § 5  by N.N. Vorob'ev  Jr.  on the computational complexity of the process of finding
equilibrium points in finite games. It should also be mentioned that subsections 3.12-3.14 in
Chapter 1 were written by E.B. Yanovskaya especially for the Russian edition. The author
regrets that the present edition does not reflect the important game-theoretical achievements
presented in the splendid monographs by E. van Damme (on the refinement of equilibrium
principles for finite games)  as well as those by J.e. Harsanyi and R. Selten  and by W. Giith
and B. Kalkofen (on equilibrium selection). When the Russian edition was being written  these
direc­ tions in game theory had not yet attained their final form  which appeared only in quite
recent monographs  the present author has had to resist the temptation of attempting to produce
an elementary exposition of the new theories for the English edition  readers of this edition
will find only brief mention of the new material.

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