We show that in all (whether generic or nongeneric) binary-action supermodular games, an extreme action profile is robust to incomplete information if and only if it is a monotone potential maximizer. The equivalence does not hold for nonextreme action profiles

Chakraborty and Harbaugh (2010) prove the existence of influential cheap talk equilibria in one sender one receiver games when the state is multidimensional and the preferences of the sender are state-independent. We show that only the babbling equilibrium survives the introduction of any small...

Chakraborty and Harbaugh (2010) prove the existence of influential cheap talk equilibria in one sender one receiver games when the state is multidimensional and the preferences of the sender are state-independent. We show that only the babbling equilibrium survives the introduction of any small...