In large quasilinear economies, we provide sufficient conditions to establish the nonemptiness of several versions of approximate interim cores with endogenous communication. This is done by proving nonemptiness of approximate ex post cores satisfying incentive compatibility. When the number of...

We provide nonemptiness results of approximate interim cores with endogenous communication in large quasilinear economies, where every agent's informational size is small. We offer results for both replica and more general sequences of economies.