Nash Equilibria over Hausdorff Spaces

Autores: 
Edgard Almeida Pimentel, Juliana Fernandes da Silva
Resumo: 
The aim of this paper is to introduce Nash Equlibrium theorem for finite dimensional vector spaces along with Kakutani's fixed point result, which is a crucial step in the former's strablishment. Closely following Glicksberg's fixed point theorem, we then present a generalization of Kakutani's one for the context of locally convex Hausdorff spaces which culminates to a broader statement of Nash Equilibrium theorem, envolving games whose pure strategies finite sets are contained in Hausdorff topological spaces.
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