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Bayesian Implementation and Rent Extraction in a Multi-Dimensional Procurement Problem

Author

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  • Herweg, Fabian

    (University of Bayreuth)

  • Schmidt, Klaus

    (LMU Munich)

Abstract

We consider a multi-dimensional procurement problem in which sellers have private information about their costs and about a possible design flaw. The information about the design flaw is necessarily correlated. We solve for the optimal Bayesian procurement mechanism that implements the efficient allocation under the constraint that sellers are protected by limited liability. We show that the rents obtained from reporting costs truthfully can be used to reduce the rents sellers must get for reporting the flaw. We compare the optimal Bayesian mechanism to the optimal ex post incentive compatible mechanism that is informationally less demanding.

Suggested Citation

  • Herweg, Fabian & Schmidt, Klaus, 2018. "Bayesian Implementation and Rent Extraction in a Multi-Dimensional Procurement Problem," Rationality and Competition Discussion Paper Series 133, CRC TRR 190 Rationality and Competition.
  • Handle: RePEc:rco:dpaper:133
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    References listed on IDEAS

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    1. Obara Ichiro, 2008. "The Full Surplus Extraction Theorem with Hidden Actions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-28, March.
    2. Keith J. Crocker & Kenneth J. Reynolds, 1993. "The Efficiency of Incomplete Contracts: An Empirical Analysis of Air Force Engine Procurement," RAND Journal of Economics, The RAND Corporation, vol. 24(1), pages 126-146, Spring.
    3. Yeon-Koo Che, 1993. "Design Competition through Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 668-680, Winter.
    4. Surajeet Chakravarty & W. Bentley MacLeod, 2009. "Contracting in the shadow of the law," RAND Journal of Economics, RAND Corporation, vol. 40(3), pages 533-557, September.
    5. Aghion, P. & Dewatripont, M. & Rey, P., 1990. "On renegotiation design," European Economic Review, Elsevier, vol. 34(2-3), pages 322-329, May.
    6. Aviad Heifetz & Zvika Neeman, 2006. "On the Generic (Im)Possibility of Full Surplus Extraction in Mechanism Design," Econometrica, Econometric Society, vol. 74(1), pages 213-233, January.
    7. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    8. Aghion, Philippe & Dewatripont, Mathias & Rey, Patrick, 1994. "Renegotiation Design with Unverifiable Information," Econometrica, Econometric Society, vol. 62(2), pages 257-282, March.
    9. John Asker & Estelle Cantillon, 2010. "Procurement when price and quality matter," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 1-34, March.
    10. Fabian Herweg & Klaus M. Schmidt, 2015. "Loss Aversion and Inefficient Renegotiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 297-332.
    11. John Asker & Estelle Cantillon, 2008. "Properties of scoring auctions," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 69-85, March.
    12. Bull, Jesse & Watson, Joel, 2007. "Hard evidence and mechanism design," Games and Economic Behavior, Elsevier, vol. 58(1), pages 75-93, January.
    13. Farinha Luz, Vitor, 2013. "Surplus extraction with rich type spaces," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2749-2762.
    14. Sher, Itai & Vohra, Rakesh, 2015. "Price discrimination through communication," Theoretical Economics, Econometric Society, vol. 10(2), May.
    15. Steven Tadelis, 2009. "Auctions Versus Negotiations in Procurement: An Empirical Analysis," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 25(2), pages 372-399, October.
    16. R. Preston McAfee & John McMillan, 1986. "Bidding for Contracts: A Principal-Agent Analysis," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 326-338, Autumn.
    17. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October.
    18. Fabian Herweg & Klaus M. Schmidt, 2017. "Auctions versus negotiations: the effects of inefficient renegotiation," RAND Journal of Economics, RAND Corporation, vol. 48(3), pages 647-672, August.
    19. Patrick Bajari & Stephanie Houghton & Steven Tadelis, 2014. "Bidding for Incomplete Contracts: An Empirical Analysis of Adaptation Costs," American Economic Review, American Economic Association, vol. 104(4), pages 1288-1319, April.
    20. Herweg, Fabian & Schmidt, Klaus M., 2017. "Auctions versus Negotiations," Rationality and Competition Discussion Paper Series 12, CRC TRR 190 Rationality and Competition.
    21. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    22. Dimitri,Nicola & Piga,Gustavo & Spagnolo,Giancarlo (ed.), 2011. "Handbook of Procurement," Cambridge Books, Cambridge University Press, number 9781107402317, September.
    23. Dasgupta, Sudipto & Spulber, Daniel F., 1989. "Managing procurement auctions," Information Economics and Policy, Elsevier, vol. 4(1), pages 5-29.
    24. Jerry R. Green & Jean-Jacques Laffont, 1986. "Partially Verifiable Information and Mechanism Design," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(3), pages 447-456.
    25. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    26. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
    27. Hart, Oliver, 1995. "Firms, Contracts, and Financial Structure," OUP Catalogue, Oxford University Press, number 9780198288817.
    28. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    29. Fabian Herweg & Marco A. Schwarz, 2018. "Optimal Cost Overruns: Procurement Auctions With Renegotiation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(4), pages 1995-2021, November.
    30. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, April.
    31. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    32. Atsushi Iimi, 2013. "Testing Low-Balling Strategy in Rural Road Procurement," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 43(3), pages 243-261, November.
    33. 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.
    34. 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.
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    More about this item

    Keywords

    auctions; correlated types; inefficient renegotiation; multidimensional screening; procurement;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H57 - Public Economics - - National Government Expenditures and Related Policies - - - Procurement

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