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Combinatorial Scoring Auctions

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Author Info
Müller, Rudolf
Perea, Andrés
Wolf, Sascha (METEOR)

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Abstract

This paper is concerned with a combinatorial, multi-attribute procurement mechanism called combinatorial scoring auction. In the setting that we analyze, private information of the suppliers is multi-dimensional. The buyer wants to procure several items at once. Subsets of these items are characterized by a price as well as by a number of non-monetary attributes called quality (e.g. completion time). The suppliers submit offers specifying prices and quality levels for these subsets. These offers are evaluated according to a quasilinear scoring rule. Based on the resulting scores suppliers win contracts for the delivery of certain items. Such a contract only specifies the set of items a supplier has to deliver and a score that he has to meet. The decision about the specific price-quality combination yielding this contracted score is at the discretion of the supplier who aims at optimizing his own profit. We analyze the equilibria in such auctions and show the link between combinatorial scoring auctions and combinatorial price-only auctions. We demonstrate how this link can be used to employ preexisting knowledge about the equilibrium behavior in regular price-only auctions in the strategic analysis of combinatorial scoring auctions. Our results are the multi-item extension to the results of Asker and Cantillon (2007).

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 020.

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Date of creation: 2007
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Handle: RePEc:dgr:umamet:2007020

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Keywords: mathematical economics;

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  1. Fernando Branco, 1997. "The Design of Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 63-81, Spring. [Downloadable!] (restricted)
  2. Peter Cramton & Yoav Shoham & Richard Steinberg, 2004. "Combinatorial Auctions," Papers of Peter Cramton 04mit, University of Maryland, Department of Economics - Peter Cramton, revised 2004. [Downloadable!]
  3. Muller, Rudolf & Perea, Andres & Wolf, Sascha, 2007. "Weak monotonicity and Bayes-Nash incentive compatibility," Games and Economic Behavior, Elsevier, vol. 61(2), pages 344-358, November. [Downloadable!] (restricted)
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  4. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July. [Downloadable!] (restricted)
  5. Bichler, Martin & Kalagnanam, Jayant, 2005. "Configurable offers and winner determination in multi-attribute auctions," European Journal of Operational Research, Elsevier, vol. 160(2), pages 380-394, January. [Downloadable!] (restricted)
  6. Asker, John & Cantillon, Estelle, 2004. "Properties of Scoring Auctions," CEPR Discussion Papers 4734, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  7. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-19, July.
  8. John Asker & Estelle Cantillon, 2006. "Procurement When Price and Quality Matter," Working Papers 06-24, New York University, Leonard N. Stern School of Business, Department of Economics. [Downloadable!]
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  9. Yeon-Koo Che, 1993. "Design Competition through Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 668-680, Winter. [Downloadable!] (restricted)
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