An application of a discrete fixed point theorem to a game in expansive form

Hidefumi Kawasaki, Akifumi Kira, Shinpei Kira

研究成果: Article査読

5 被引用数 (Scopus)

抄録

In this paper, we first present a discrete fixed point theorem for contraction mappings from the product set of integer intervals into itself, which is an extension of Robert's discrete fixed point theorem. Next, we derive an existence theorem of a pure-strategy Nash equilibrium for a noncooperative n-person game from our fixed point theorem. Finally, we show that Kuhn's theorem for a game in expansive form can be explained by our existence theorem.

本文言語English
論文番号1340013
ジャーナルAsia-Pacific Journal of Operational Research
30
3
DOI
出版ステータスPublished - 2013 6

ASJC Scopus subject areas

  • Management Science and Operations Research

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