On the existence of Cournot-Nash equilibria in continuum games

A substantial generalization of Cournot-Nash equilibrium existence results for the usual continuum game model is obtained by the introduction of a new feeble topology on the set of action profiles. This allows for very general action spaces and no longer presupposes integrability of the action profiles. As a consequence of this generality, mixed equilibrium existence in the model not only implies pure equilibrium existence, but also follows from it. (C) 1999 Elsevier Science S.A. All rights reserved.