Equilibrium Blocking in Large Quasilinear Economies

We study information transmission in large interim quasilinear economies using the theory of the core. We concentrate on the core with respect to equilibrium blocking, a core notion in which information is transmitted endogenously within coalitions, because blocking can be understood as an equilibrium of a communication mechanism used by players in coalitions. We focus on independent replicas of the basic economy. We offer both negative and positive convergence results as a function of the complexity of the mechanisms used by coalitions. Furthermore, all of the results are robust to the relaxation of the incentive constraints. Results for ex post and signal-based replica processes are also obtained.