A comparison of discrete fixed point theorems via a bimatrix game

Hidefumi Kawasaki

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

There are three types of discrete fixed point theorems: type M and type C deal with monotone mappings and contraction mappings, respectively. Type B is based on Brouwer's fixed point theorem. The main aim of this paper is to compare type B with type M by applying them to a bimatrix game. For this purpose we characterize the direction preserving condition that is used in type B in terms of the best response mappings of the bimatrix game. Further we extend the characterization to a non-cooperative n-person game.

本文言語英語
ページ(範囲)1501-1510
ページ数10
ジャーナルJournal of Nonlinear and Convex Analysis
16
8
出版ステータス出版済み - 2015

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics

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