Weak local Nash equilibrium

Artigo

Fecha

2013-07-01

Registro en:

Topological Methods in Nonlinear Analysis, v. 41, n. 2, p. 409-419, 2013.

1230-3429

http://hdl.handle.net/11449/75896

WOS:000321161500011

2-s2.0-84879367500

0268289514577372

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3924812

Autor

Universidade de São Paulo (USP)

Universidade Estadual Paulista (Unesp)

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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. © 2013 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University.

Materias

Fixed point

Nash equilibrium

Proximative retract

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