Weak local Nash equilibrium

Carlos Biasi, Thaís Fernanda Mendes Monis

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.

Keywords


Fixed point; Nash equilibrium; proximative retract

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