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Combinatorial Scoring Auctions

  • Müller Rudolf
  • Perea Andrés
  • Wolf Sascha

    (METEOR)

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 University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 020.

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Date of creation: 2007
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Handle: RePEc:unm:umamet:2007020
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  1. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  2. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
  3. Fernando Branco, 1997. "The Design of Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 63-81, Spring.
  4. Holzman, Ron & Kfir-Dahav, Noa & Monderer, Dov & Tennenholtz, Moshe, 2004. "Bundling equilibrium in combinatorial auctions," Games and Economic Behavior, Elsevier, vol. 47(1), pages 104-123, April.
  5. repec:att:wimass:9123 is not listed on IDEAS
  6. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-19, July.
  7. Yeon-Koo Che, 1993. "Design Competition through Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 668-680, Winter.
  8. 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.
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