Discrete fixed point theorems and their application to Nash equilibrium

Jun Ichi Sato, Hidefumi Kawasaki

Research output: Contribution to journalArticle

7 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 - Jan 1 2009

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Bimatrix Games
Nash Equilibrium
Existence Theorem
Monotonicity
Fixed point theorem
Person
Game
Strategy

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Discrete fixed point theorems and their application to Nash equilibrium. / Sato, Jun Ichi; Kawasaki, Hidefumi.

In: Unknown Journal, Vol. 13, No. 2 A, 01.01.2009, p. 431-440.

Research output: Contribution to journalArticle

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