A note on a Tarski type fixed-point theorem-Reference-Cited by-同舟云学术

A note on a Tarski type fixed-point theorem

Published:2021-02-11 Issue:3 Volume:50 Page:751-758
ISSN:0020-7276
Container-title:International Journal of Game Theory
language:en
Short-container-title:Int J Game Theory

Author:

Ricci Roberto Ghiselli^ORCID

Abstract

AbstractIn this paper we propose a basic fixed-point theorem for correspondences inspired by Tarski’s intersection point theorem. This result furnishes an efficient tool to prove the existence of pure strategy Nash equilibria for two player games with possibly discontinuous payoffs functions defined on compact real intervals.

Funder

Università degli Studi di Ferrara

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Economics and Econometrics,Social Sciences (miscellaneous),Mathematics (miscellaneous),Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s00182-021-00763-3.pdf

Reference11 articles.

1. Amir R, De Castro L (2017) Nash equilibrium in games with quasi-monotonic best-responses. J Econ Theory 172:220–246

2. Aubin JP, Frankowska H (2009) Set-valued analysis. Springer, Berlin

3. Baye M, Tian G, Zhou J (1993) Characterizations of the existence of equilibria in games with discontinuous and non-quasiconcave payoffs. Rev Econ Stud 60:935–948

4. Dasgupta P, Maskin E (1986) The existence of equilibrium in discontinuous economic games, I: Theory. Rev Econ Stud 53:1–26

5. Kakutani S (1941) A generalization of Brouwer’s fixed point theorem. Duke Math J 8:457–459

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