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Equilibrium in Scoring Auctions

Author

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  • John Asker

    (Harvard University)

  • Estelle Cantillon

    (Harvard Business School)

Abstract

This paper studies multi-attribute auctions in which a buyer seeks to procure a complex good and evaluate offers using a quasi-linear scoring rule. Suppliers have private information about their costs, which is summarized by a multi-dimensional type. The scoring rule reduces the multidimensional bids submitted by each supplier to a single dimension, the score, which is used for deciding on the allocation and the resulting contractual obligation. We exploit this idea and obtain two kinds of results. First, we characterize the set of equilibria in quasi-linear scoring auctions with multi-dimensional types. In particular, we show that there exists a mapping between the class of equilibria in these scoring auctions and those in standard single object IPV auctions. Second, we prove a new expected utility equivalence theorem for quasi-linear scoring auctions.

Suggested Citation

  • John Asker & Estelle Cantillon, 2004. "Equilibrium in Scoring Auctions," Working Papers 2004.148, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2004.148
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    References listed on IDEAS

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    1. Bushnell, James B & Oren, Shmuel S, 1994. "Bidder Cost Revelation in Electric Power Auctions," Journal of Regulatory Economics, Springer, vol. 6(1), pages 5-26, February.
    2. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    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. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    5. Hanming Fang & Stephen Morris, 2012. "Multidimensional Private Value Auctions," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 9, pages 319-356, World Scientific Publishing Co. Pte. Ltd..
    6. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, University Library of Munich, Germany, revised 28 Apr 1998.
    7. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    8. Philip J. Reny & Shmuel Zamir, 2004. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Econometrica, Econometric Society, vol. 72(4), pages 1105-1125, July.
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    Cited by:

    1. Levin, Dan & Peck, James & Ye, Lixin, 2007. "Bad news can be good news: Early dropouts in an English auction with multi-dimensional signals," Economics Letters, Elsevier, vol. 95(3), pages 462-467, June.
    2. , & ,, 2006. "Revenue comparisons for auctions when bidders have arbitrary types," Theoretical Economics, Econometric Society, vol. 1(1), pages 95-118, March.
    3. Shivangi Chandel & Shubhro Sarkar, 2014. "Revenue non-equivalence in multidimensional procurement auctions under asymmetry," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2014-008, Indira Gandhi Institute of Development Research, Mumbai, India.
    4. Dewatripont, Mathias & Legros, Patrick, 2005. "Public-private partnerships: contract design and risk transfer," EIB Papers 5/2005, European Investment Bank, Economics Department.

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    More about this item

    Keywords

    Auctions; Procurement;

    JEL classification:

    • H57 - Public Economics - - National Government Expenditures and Related Policies - - - Procurement
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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