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TOPIC:
A NETWORK SOLUTION TO ROBUST IMPLEMENTATION: THE CASE OF IDENTICAL BUT UNKNOWN DISTRIBUTIONS
ABSTRACT
We consider mechanism design environments in which agents commonly believe that others’ types are identically distributed, but we do not assume that the actual distribution is common knowledge, nor that it is known to the designer. Under these assumptions, we study partial and full implementation questions. First, we characterize the transfers which are incentive compatible under these assumptions, and provide necessary and sufficient conditions for partial implementation. Second, we characterize the conditions under which full implementation is possible via direct mechanisms, and the transfer schemes which achieve it whenever possible. The latter results are obtained from showing that the full implementation problem in our setting can be transformed into one of designing a network of strategic externalities, subject to suitable constraints which are dictated by the incentive compatibility requirements.