Skip to content

M. Passacantando, F. Raciti, A continuity result for the Nash equilibrium of a class of network games

Full Text: PDF
DOI: 10.23952/jnva.8.2024.1.09

Volume 8, Issue 1, 1 February 2024, Pages 167-179

 

Abstract. We investigate a class of Nash equilibrium problems on networks where both the utility function and the strategy space of each player are parametrized by means of continuous functions of a vector parameter. We provide a variational inequality reformulation of the Nash equilibrium problem which turns out to be much simpler than the original problem. Moreover, under additional assumptions, the continuity of the solution with respect to the parameter is proved.

 

How to Cite this Article:
M. Passacantando, F. Raciti, A continuity result for the Nash equilibrium of a class of network games, J. Nonlinear Var. Anal. 8 (2024), 167-179.