A new proof for the existence of Nash equilibrium
Theoretical Economics
2023-10-04 v1
Abstract
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.
Cite
@article{arxiv.2310.01528,
title = {A new proof for the existence of Nash equilibrium},
author = {Davide Carpentiere and Stephen Watson},
journal= {arXiv preprint arXiv:2310.01528},
year = {2023}
}