Weak local Nash equilibrium

Authors

  • Carlos Biasi
  • Thaís Fernanda Mendes Monis

Keywords

Fixed point, Nash equilibrium, proximative retract

Abstract

In this paper, we consider a concept of local Nash equilibrium for non-cooperative games - the so-called weak local Nash equilibrium. We prove its existence for a significantly more general class of sets of strategies than compact convex sets. The theorems on existence of the weak local equilibrium presented here are applications of Brouwer and Lefschetz fixed point theorems.

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Published

2013-04-22

How to Cite

1.
BIASI, Carlos and MONIS, Thaís Fernanda Mendes. Weak local Nash equilibrium. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 41, no. 2, pp. 409 - 419. [Accessed 5 July 2025].

Issue

Vol 41, No 2 (June 2013)

Section

Articles

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