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Optimal Use of Correlated Information in Mechanism Design When Full Surplus Extraction May Be Impossible

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  • Bose, Subir
  • Zhao, Jinhua

Abstract

We study the mechanism design problem when the principal can condition the agent's transfers on the realization of ex post signals that are correlated with the agents' types. Cremer and McLean (Econometrica, 53(1985) 345-361; 56(1988) 1247-1258), McAfee and Reny (Econometrica, 6(1992) 395-421), Riordan and Sappington (JET, 45(1988) 189-199) studied situations where either the signals are rich enough, or the conditional signal distributions and agents' payoffs are such that a mechanism can be designed to fully extract the surplus from every agent. In this paper, we study the optimal utilization of the signals when full surplus extraction may not be possible. We assume that the cardinality of the signal space is smaller than that of the type space and the Riordan and Sappington conditions do not always hold. We study the optimal ways to utilize the signals. For some tractable special cases, we investigate the optimal mechanism and the level of surplus that can be extracted, and identify the agent types who obtain rent.

Suggested Citation

  • Bose, Subir & Zhao, Jinhua, 2003. "Optimal Use of Correlated Information in Mechanism Design When Full Surplus Extraction May Be Impossible," Staff General Research Papers Archive 10579, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genres:10579
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    References listed on IDEAS

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    1. Dominique M. Demougin & Devon A. Garvie, 1991. "Contractual Design with Correlated Information under Limited Liability," RAND Journal of Economics, The RAND Corporation, vol. 22(4), pages 477-489, Winter.
    2. Steven R. Williams & Georgia Kosmopoulou, 1998. "The robustness of the independent private value model in Bayesian mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 393-421.
    3. Riordan, Michael H. & Sappington, David E. M., 1988. "Optimal contracts with public ex post information," Journal of Economic Theory, Elsevier, vol. 45(1), pages 189-199, June.
    4. Parreiras, Sergio O., 2005. "Correlated information, mechanism design and informational rents," Journal of Economic Theory, Elsevier, vol. 123(2), pages 210-217, August.
    5. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October.
    6. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    7. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    8. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
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    Cited by:

    1. Ottorino Chillemi & Stefano Galavotti & Benefetto Gui, 2017. "Inefficient Rationing With Post-Contractual Information," "Marco Fanno" Working Papers 0214, Dipartimento di Scienze Economiche "Marco Fanno".
    2. Krähmer, Daniel, 2012. "Auction design with endogenously correlated buyer types," Journal of Economic Theory, Elsevier, vol. 147(1), pages 118-141.
    3. Mikhail Drugov, 2010. "Information and delay in an agency model," RAND Journal of Economics, RAND Corporation, vol. 41(3), pages 598-615.
    4. Daniel Danau & Analisa Vinella, 2016. "On the optimal use of correlated information in contractual design under limited liability," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 2016-05, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.

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