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Foundations of Game Theory - Noncooperative Games (Paperback, Softcover reprint of the original 1st ed. 1994)
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Foundations of Game Theory - Noncooperative Games (Paperback, Softcover reprint of the original 1st ed. 1994)
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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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