Some extensions of discrete fixed point theorems and their applications to the game theory

Hidefumi Kawasaki

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    As is well-known in the game theory, fixed point theorems are useful to show the existence of Nash equilibrium. Since they are mathematical tools in continuous variables, it is expected that discrete fixed point theorems also useful to guarantee the existence of pure-strategy Nash equilibrium. In this talk, we review three types of discrete fixed point theorems, give some extensions, and apply them to non-cooperative games.

    Original languageEnglish
    Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
    Pages941-944
    Number of pages4
    DOIs
    Publication statusPublished - 2009
    EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
    Duration: Sept 18 2009Sept 22 2009

    Publication series

    NameAIP Conference Proceedings
    Volume1168
    ISSN (Print)0094-243X
    ISSN (Electronic)1551-7616

    Other

    OtherInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
    Country/TerritoryGreece
    CityRethymno, Crete
    Period9/18/099/22/09

    All Science Journal Classification (ASJC) codes

    • General Physics and Astronomy

    Fingerprint

    Dive into the research topics of 'Some extensions of discrete fixed point theorems and their applications to the game theory'. Together they form a unique fingerprint.

    Cite this