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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Pages941-944
Number of pages4
Volume1168
DOIs
Publication statusPublished - Nov 26 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
Duration: Sep 18 2009Sep 22 2009

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
CountryGreece
CityRethymno, Crete
Period9/18/099/22/09

Fingerprint

game theory
theorems
games

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Kawasaki, H. (2009). Some extensions of discrete fixed point theorems and their applications to the game theory. In Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 (Vol. 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. Vol. 1168 2009. p. 941-944.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kawasaki, H 2009, Some extensions of discrete fixed point theorems and their applications to the game theory. in Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. vol. 1168, pp. 941-944, International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009, Rethymno, Crete, Greece, 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. In Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. Vol. 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. Vol. 1168 2009. pp. 941-944
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