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

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

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.

本文言語英語
ホスト出版物のタイトルNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
ページ941-944
ページ数4
1168
DOI
出版ステータス出版済み - 11 26 2009
イベントInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, ギリシャ
継続期間: 9 18 20099 22 2009

その他

その他International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Countryギリシャ
CityRethymno, Crete
Period9/18/099/22/09

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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