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SMU SOE Seminar (October 6, 2022): A Network Solution to Robust Implementation: the Case of Identical but Unknown Distributions

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TOPIC:  

A NETWORK SOLUTION TO ROBUST IMPLEMENTATION: THE CASE OF IDENTICAL BUT UNKNOWN DISTRIBUTIONS

 

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.
 
Keywords: Robust Full Implementation, Rationalizability, Network Design, Uniqueness, Strategic Externalities, Spectral Radius.
 
JEL Codes: D62, D82, D83  
 
Click here to view the CV.
Click here to view the paper.
 
 

Antonio Penta

Barcelona School of Economics
 
Game Theory
Mechanism Design
Auctions
Bounded Rationality
Decision Theory
 

6 October 2022 (Thursday)

 

4pm - 5.30pm

 

Meeting Room 5.1, Level 5
School of Economics
Singapore Management University
90 Stamford Road
Singapore 178903