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Birkhäuser

Foundations of Game Theory

Noncooperative Games

  • Book
  • © 1994

Overview

Authors:
  1. Nicolai N. Vorob’ev

    1. St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • Nicolai N. Vorob’ev
    Pages 5-31

  3. Historical notes and references for the Foreword and Introduction

    • Nicolai N. Vorob’ev
    Pages 33-36

  4. Noncooperative Games

    • Nicolai N. Vorob’ev
    Pages 37-136

  5. Finite noncooperative games

    • Nicolai N. Vorob’ev
    Pages 137-208

  6. Two-person zero-sum games

    • Nicolai N. Vorob’ev
    Pages 209-357

  7. Matrix games

    • Nicolai N. Vorob’ev
    Pages 359-456

  8. Back Matter

    Pages 457-496
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About this book

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.

Authors and Affiliations

  • St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

    Nicolai N. Vorob’ev

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