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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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    2. Daniel Danau & Annalisa Vinella, 2020. "A note on optimal contracting with public ex post information under limited liability," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 47-74, March.
    3. Chillemi, Ottorino & Galavotti, Stefano & Gui, Benedetto, 2020. "Optimal contracts with contingent allocation," Economics Letters, Elsevier, vol. 192(C).
    4. Ottorino Chillemi & Stefano Galavotti & Benefetto Gui, 2017. "Inefficient Rationing With Post-Contractual Information," "Marco Fanno" Working Papers 0214, Dipartimento di Scienze Economiche "Marco Fanno".
    5. Pereyra, Juan Sebastián & Silva, Francisco, 2023. "Optimal assignment mechanisms with imperfect verification," Theoretical Economics, Econometric Society, vol. 18(2), May.
    6. 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 & University of Caen) 2016-05, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    7. Asseyer, Andreas, 2025. "Information orders in screening problems," Journal of Economic Theory, Elsevier, vol. 225(C).
    8. Mikhail Drugov, 2010. "Information and delay in an agency model," RAND Journal of Economics, RAND Corporation, vol. 41(3), pages 598-615, September.
    9. Krähmer, Daniel, 2012. "Auction design with endogenously correlated buyer types," Journal of Economic Theory, Elsevier, vol. 147(1), pages 118-141.

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