A new proof for the existence of Nash equilibrium

Davide Carpentiere; Stephen Watson

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arxiv 2310.01528 v1 pith:2MY5AF57 submitted 2023-10-02 econ.TH

A new proof for the existence of Nash equilibrium

Davide Carpentiere , Stephen Watson This is my paper

classification econ.TH

keywords existencenashproofequilibriumpartconsistsequilibriafirst

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We present a new proof for the existence of a Nash equilibrium, which involves no fixed point theorem. The self-contained proof consists of two parts. The first part introduces the notions of root function and pre-equilibrium. The second part shows the existence of pre-equilibria and Nash equilibria.

A new proof for the existence of Nash equilibrium

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