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

研究成果: 著書/レポートタイプへの貢献会議での発言

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.

元の言語英語
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
出版物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
ギリシャ
Rethymno, Crete
期間9/18/099/22/09

Fingerprint

game theory
theorems
games

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

これを引用

Kawasaki, H. (2009). Some extensions of discrete fixed point theorems and their applications to the game theory. : Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 (巻 1168, pp. 941-944) https://doi.org/10.1063/1.3241640

Some extensions of discrete fixed point theorems and their applications to the game theory. / Kawasaki, Hidefumi.

Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. 巻 1168 2009. p. 941-944.

研究成果: 著書/レポートタイプへの貢献会議での発言

Kawasaki, H 2009, Some extensions of discrete fixed point theorems and their applications to the game theory. : Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. 巻. 1168, pp. 941-944, International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009, Rethymno, Crete, ギリシャ, 9/18/09. https://doi.org/10.1063/1.3241640
Kawasaki H. Some extensions of discrete fixed point theorems and their applications to the game theory. : Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. 巻 1168. 2009. p. 941-944 https://doi.org/10.1063/1.3241640
Kawasaki, Hidefumi. / Some extensions of discrete fixed point theorems and their applications to the game theory. Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. 巻 1168 2009. pp. 941-944
@inproceedings{17b57766d8464837bd0953bb82e02577,
title = "Some extensions of discrete fixed point theorems and their applications to the game theory",
abstract = "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.",
author = "Hidefumi Kawasaki",
year = "2009",
month = "11",
day = "26",
doi = "10.1063/1.3241640",
language = "English",
isbn = "9780735407091",
volume = "1168",
pages = "941--944",
booktitle = "Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009",

}

TY - GEN

T1 - Some extensions of discrete fixed point theorems and their applications to the game theory

AU - Kawasaki, Hidefumi

PY - 2009/11/26

Y1 - 2009/11/26

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70450185870&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70450185870&partnerID=8YFLogxK

U2 - 10.1063/1.3241640

DO - 10.1063/1.3241640

M3 - Conference contribution

AN - SCOPUS:70450185870

SN - 9780735407091

VL - 1168

SP - 941

EP - 944

BT - Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009

ER -