Bayesian Implementable Efficient and Core Allocations

I examine the implementation of core allocations when agents are differently informed. A one state deviation principle (an allocation cannot be improved at any state) and measurability restrictions (blocking allocations may only be measurable with respect to each agent’s private information) are sufficient to yield interim core solutions that are Bayesian implementable. Private measurability of blocking allocations is necessary for implementation. Similar results hold for interim efficiency. However, the results cannot be extended to exclusive information environments.