Incentive compatible self-fulfilling mechanisms and rational expectations

This paper extends the exact equivalence result between the allocations realized by self-fulfilling mechanisms and rational expectations equilibrium allocations in Forges and Minelli (1997) to a large finite-agent replica economy where different replicas of the same agent are allowed to receive different private information. The first result states that the allocation realized by any incentive compatible self-fulfilling mechanism is an approximate rational expectations equilibrium allocation. Conversely, the second result states that, given any rational expectations equilibrium satisfying a “uniform continuity” condition on the equilibrium price, one can construct an approximate incentive compatible self-fulfilling mechanism whose equilibrium allocation coincides with the rational expectations equilibrium allocation for all non-monetary commodities.