In McLean and Postlewaite (2001), we analyzed a general equilibrium model with asymetrically informed agents. We presented a notion of informational size and showed (among other things) that when agents' information as a whole resolved nearly all the uncertainty, the conflict between incentive...

We analyze the ex ante incentive compatible core for replicated private information economies. We show that any allocation in the core when the economy is replicated sufficiently often is approximately Walrasian for the associated Arrow-Debreu economy