In this brief note a sufficient condition for a non-existence result of diagonal transfer continuity is presented. It is based on the definition of anti-kernel point for a payoff function. A sufficient condition for better reply security in terms of sup inf property on the aggregate bifunction...

This paper attempts to underline how the Diagonal Transfer Continuity hypothesis (Baye, Tian and Zhou, 1993) and Better-Reply Security (Reny, 1999) are unconnected between themselves as sucient conditions for stating the existence of Nash equilibria. Besides, various examples and counterexamples...

To give sucient conditions for Nash Equilibrium existence in a continuous game is a central problem in Game Theory. In this paper, we present two games in which we show how the continuity and quasi-concavity hypotheses are unconnected one to each other. Then, we relax the quasiconcavity...