2x2 Strongly Pay-off Salient Games

Abstract

We provide a necessary and sufficient condition for a salient action profile to be a focal point for 22 pay-off salient games. In view of the necessary and sufficient condition for the existence of a focal point, we are able to provide an exact criteria that selects the focal point if it exists. We introduce the concepts of dominant salient action and dominant for 22 strongly pay-off salient games and provide a necessary and sufficient condition for a dominant salient action profile to be a dominant focal point. We also provide a procedure to implement a dominant focal point when one exists.