Constructive Proof of the Existence of Nash Equilibrium in a Finite Strategic Game with Sequentially Locally Nonconstant Payoff Functions

Author

Tanaka, Yasuhito

Source

ISRN Computational Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-11-24

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We will constructively prove the existence of a Nash equilibrium in a finite strategic game with sequentially locally nonconstant payoff functions.

The proof is based on the existence of approximate Nash equilibria which is proved by Sperner's lemma.

We follow the Bishop-style constructive mathematics.

American Psychological Association (APA)

Tanaka, Yasuhito. 2011. Constructive Proof of the Existence of Nash Equilibrium in a Finite Strategic Game with Sequentially Locally Nonconstant Payoff Functions. ISRN Computational Mathematics،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-473226

Modern Language Association (MLA)

Tanaka, Yasuhito. Constructive Proof of the Existence of Nash Equilibrium in a Finite Strategic Game with Sequentially Locally Nonconstant Payoff Functions. ISRN Computational Mathematics No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-473226

American Medical Association (AMA)

Tanaka, Yasuhito. Constructive Proof of the Existence of Nash Equilibrium in a Finite Strategic Game with Sequentially Locally Nonconstant Payoff Functions. ISRN Computational Mathematics. 2011. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-473226

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-473226