An answer to a question of herings et al

Philippe Bich (1)

1 CES - Centre d'économie de la Sorbonne

One answers to an open question of Herings et al. (2008), by proving that their fixed point theorem for discontinuous functions works for mappings defined on convex compact subset of $\R^n$, and not only polytopes. This fixed point theorem can be applied to the problem of Nash equilibrium existence in discontinuous games.

Mots clés: fixed point theorem; discontinuity; nash equilibrium

Domaines: Economies et finances

Philippe Bich. An answer to a question of herings et al. 2008. ⟨halshs-00265464⟩