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Introduction to the Theory of Games

  • Book
  • © 1985

Overview

Authors:
  1. J. Szép

    1. Institute of Mathematics and Computer Science, Karl Marx University of Economics, Budapest, Hungary

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  2. F. Forgó

    1. Institute of Mathematics and Computer Science, Karl Marx University of Economics, Budapest, Hungary

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MAEE, volume 17)

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Table of contents (30 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. On equilibrium of systems

    • J. Szép, F. Forgó
    Pages 1-17

  3. The n-person game

    • J. Szép, F. Forgó
    Pages 18-21

  4. Existence theorems of equilibrium points

    • J. Szép, F. Forgó
    Pages 22-40

  5. Special n-person games and methods to solve them

    • J. Szép, F. Forgó
    Pages 41-59

  6. The Scarf—Hansen algorithm for approximating and equilibrium point of a finite n-person game

    • J. Szép, F. Forgó
    Pages 60-71

  7. The oligopoly game

    • J. Szép, F. Forgó
    Pages 72-94

  8. Two-person games

    • J. Szép, F. Forgó
    Pages 95-102

  9. Bimatrix games

    • J. Szép, F. Forgó
    Pages 103-135

  10. Matrix games

    • J. Szép, F. Forgó
    Pages 136-141

  11. Symmetric games

    • J. Szép, F. Forgó
    Pages 142-146

  12. Connection between matrix games and linear programming

    • J. Szép, F. Forgó
    Pages 147-148

  13. Methods for solving general matrix games

    • J. Szép, F. Forgó
    Pages 149-170

  14. Some special games and methods

    • J. Szép, F. Forgó
    Pages 171-182

  15. Decomposition of matrix games

    • J. Szép, F. Forgó
    Pages 183-188

  16. Examples of matrix games

    • J. Szép, F. Forgó
    Pages 189-195

  17. Games played over the unit square

    • J. Szép, F. Forgó
    Pages 196-199

  18. Some special classes of games on the unit square

    • J. Szép, F. Forgó
    Pages 200-209

  19. Approximate solution of two-person zero-sum games played over the unit square

    • J. Szép, F. Forgó
    Pages 210-218

  20. Two-person zero-sum games over metric spaces

    • J. Szép, F. Forgó
    Pages 219-223
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Keywords

About this book

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Min­ kowsky lemma, coding theory and the structure of water meet one another in packing and covering theory: quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Authors and Affiliations

  • Institute of Mathematics and Computer Science, Karl Marx University of Economics, Budapest, Hungary

    J. Szép, F. Forgó

Bibliographic Information

  • Book Title: Introduction to the Theory of Games

  • Authors: J. Szép, F. Forgó

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-009-5193-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1985

  • Hardcover ISBN: 978-90-277-1404-6Due: 30 June 1985

  • Softcover ISBN: 978-94-010-8796-4Published: 03 October 2013

  • eBook ISBN: 978-94-009-5193-8Published: 06 December 2012

  • Series ISSN: 0169-507X

  • Edition Number: 1

  • Number of Pages: XVIII, 392

  • Number of Illustrations: 1 b/w illustrations

  • Additional Information: Originally published in Hungarian

  • Topics: Analysis

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