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Equilibrium in Scoring Auctions

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Author Info

  • 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.

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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2004.148.

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Date of creation: Dec 2004
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Handle: RePEc:fem:femwpa:2004.148

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Keywords: Auctions; Procurement;

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References

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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. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, EconWPA, revised 28 Apr 1998.
  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. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June.
  5. Fang, Hanming & Morris, Stephen, 2006. "Multidimensional private value auctions," Journal of Economic Theory, Elsevier, vol. 126(1), pages 1-30, January.
  6. Philip J. Reny & Shmuel Zamir, 2002. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Discussion Paper Series dp292, The Center for the Study of Rationality, Hebrew University, Jerusalem.
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Citations

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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. Dewatripont, Mathias & Legros, Patrick, 2005. "Public-private partnerships: contract design and risk transfer," EIB Papers 5/2005, European Investment Bank, Economics Department.
  3. Yeon-Koo Che & Ian Gale, 2005. "Revenue comparisons for auctions when bidders have arbitrary types," Discussion Papers 0506-03, Columbia University, Department of Economics.

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