Munich Personal RePEc Archive

Nash equilibrium with discontinuous utility functions: Reny's approach extended

Kukushkin, Nikolai S. (2016): Nash equilibrium with discontinuous utility functions: Reny's approach extended.

[img]
Preview
PDF
MPRA_paper_75862.pdf

Download (143kB) | Preview

Abstract

Philip Reny's approach to games with discontinuous utility functions can work outside its original context. The existence of Nash equilibrium, as well as the possibility to approach an equilibrium with a finite individual improvement path, are established, under a condition slightly weaker than the better reply security, for three classes of strategic games: potential games, games with strategic complementarities, and aggregative games with appropriate monotonicity conditions.

UB_LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.