Nash equilibrium existence for some discontinuous games

Working paper
Author/s:
Philippe Bich
Issue number:
2007.69
Publisher:
Maison des Sciences Économiques
Year:
2007
Answering to an open question of Herings et al. (see [3]), one ex- tends their ﬁxed point theorem to mappings deﬁned on convex com- pact subset of Rn, and not only polytopes. Such extension is impor- tant in non-cooperative game theory, where typical strategy sets are convex and compact. An application in game theory is given.
Developed by Paolo Gittoi