The e-mail game in Rubinstein (1989) shows that types with arbitrarily close higher-order beliefs may differ substantially in strategic behaviors. We define a notion called strategic discontinuity in arbitrary incomplete-information scenarios to generalize this e-mail game phenomenon. We show...

Given the regularity condition on posteriors proposed in Lehrer and Samet (2011), we show that Lehrer and Sametʼs (2011) characterization of agreeing to agree in countable-information models cannot be extended to uncountable-information models. This answers an open question raised in Lehrer and...