On equilibria in continuum games

Abstract

A substantial generalization of the usual continuum game model is obtained by the introduction of a new feeble topology on the set of action proles, which no longer presupposes their integrability. Another improvement of the model concerns a reduction of the usual quasi-concavity condition. Moreover, new light is shed on a serious inconsistency in the usual model for continuum games with non-ordered preferences, exposed in Balder (1996c).