Strong Rationalizability for Two-Player Noncooperative Games

The paper introduces a version of rationalizability that ignores strategies that are supported by negligible sets of beliefs, where a negligible set is one whose Lebesgue measure is zero. The theory is developed solely for the special case of point rationalizability; conditions are then derived under which point rationalizability entails no loss of generality. When these conditions obtain, the predictions yielded by this approach are often (although not always) a significant reduction over what is predicted by rationalizability