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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.
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  • Bose, Subir & Zhao, Jinhua, 2007. "Optimal use of correlated information in mechanism design when full surplus extraction may be impossible," Journal of Economic Theory, Elsevier, vol. 135(1), pages 357-381, July.
    • Handle: RePEc:eee:jetheo:v:135:y:2007:i:1:p:357-381
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    1. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in Economics and Econometrics: Theory and Applications, Eighth World Congress," ULB Institutional Repository 2013/176002, ULB -- Universite Libre de Bruxelles.
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    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. Pereyra, Juan Sebastián & Silva, Francisco, 2023. "Optimal assignment mechanisms with imperfect verification," Theoretical Economics, Econometric Society, vol. 18(2), May.
    4. Mikhail Drugov, 2010. "Information and delay in an agency model," RAND Journal of Economics, RAND Corporation, vol. 41(3), pages 598-615, September.
    5. 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.
    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 1 & University of Caen) 2016-05, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
    7. Chillemi, Ottorino & Galavotti, Stefano & Gui, Benedetto, 2020. "Optimal contracts with contingent allocation," Economics Letters, Elsevier, vol. 192(C).

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