Discrete fixed point theorems and their application to Nash equilibrium

Jun Ichi Sato, Hidefumi Kawasaki

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    In this paper, we present discrete fixed point theorems. They are based on monotonicity of the mapping. We apply them to a non-cooperative n-person game and give an existence theorem of a Nash equilibrium of pure strategies. As a special case, we consider bimatrix games.

    Original languageEnglish
    Pages (from-to)431-440
    Number of pages10
    JournalUnknown Journal
    Volume13
    Issue number2 A
    DOIs
    Publication statusPublished - 2009

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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