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Optimal Design of Scoring Auction with Multidimensional Quality

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  • Takeshi Nishimura

Abstract

This article studies the optimal design of scoring auction used in public procurement. In this auction, each supplier's offer consists of both price and quality, and a supplier whose offer achieves the highest score wins. The environment we consider has the feature that quality is multi-dimensional. We show that there exists a quasi-linear scoring rule which implements the optimal mechanism for the buyer and is supermodular in quality if the virtual surplus is quasisupermodular in quality. We further investigate how the buyer should classify quality attributes when using a scoring rule which is additively separable in the attributes.

Suggested Citation

  • Takeshi Nishimura, 2012. "Optimal Design of Scoring Auction with Multidimensional Quality," Global COE Hi-Stat Discussion Paper Series gd12-238, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hst:ghsdps:gd12-238
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    File URL: http://gcoe.ier.hit-u.ac.jp/research/discussion/2008/pdf/gd12-238.pdf
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    References listed on IDEAS

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    1. John Asker & Estelle Cantillon, 2008. "Properties of scoring auctions," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 69-85.
    2. John Asker & Estelle Cantillon, 2010. "Procurement when price and quality matter," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 1-34.
    3. R. Preston McAfee & John McMillan, 1987. "Competition for Agency Contracts," RAND Journal of Economics, The RAND Corporation, vol. 18(2), pages 296-307, Summer.
    4. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Auctioning Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 921-937, October.
    5. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    6. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, April.
    7. Riordan, Michael H & Sappington, David E M, 1987. "Awarding Monopoly Franchises," American Economic Review, American Economic Association, vol. 77(3), pages 375-387, June.
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    Cited by:

    1. Dastidar, Krishnendu Ghosh & Mukherjee, Diganta, 2014. "Corruption in delegated public procurement auctions," European Journal of Political Economy, Elsevier, vol. 35(C), pages 122-127.

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