IDEAS home Printed from
   My bibliography  Save this book

UNDERSTANDING GAME THEORY:Introduction to the Analysis of Many Agent Systems with Competition and Cooperation


  • Vassili N Kolokoltsov

    (The University of Warwick, UK)

  • Oleg A Malafeyev

    (St. Petersburg State University, Russia)


Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen.Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.

Suggested Citation

  • Vassili N Kolokoltsov & Oleg A Malafeyev, 2010. "UNDERSTANDING GAME THEORY:Introduction to the Analysis of Many Agent Systems with Competition and Cooperation," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7564, January.
  • Handle: RePEc:wsi:wsbook:7564

    Download full text from publisher

    File URL:
    Download Restriction: Ebook Access is available upon purchase.

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item


    Game Theory; Mathematical Modeling; Evolutionary Biology; Conflict and Cooperation; Multi-Criteria Optimization; Collective Choice; Replicator Dynamics; Financial Mathematics; Rainbow Options; Structural Stability; Lyapunov Stability; Multi-Criteria Optimization; Turnpikes;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:wsbook:7564. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tai Tone Lim). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.