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An Overview of Combinatorial Auctions

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Abstract

An auction is combinatorial when bidders can place bids on combinations of items, called “packages,” rather than just individual items. Computer scientists are interested in combinatorial auctions because they are concerned with the expressiveness of bidding languages, as well as the algorithmic aspects of the underlying combinatorial problem. The combinatorial problem has attracted attention from operations researchers, especially those working in combinatorial optimization and mathematical programming, who are fascinated by the idea of applying these tools to auctions. Auctions have been studied extensively by economists, of course. Thus, the newly emerging field of combinatorial auctions lies at the intersection of computer science, operations research, and economics. In this article, we present a brief introduction to combinatorial auctions, based on our book, Combinatorial Auctions (MIT Press, 2006), in which we look at combinatorial auctions from all three perspectives.

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  • Peter Cramton & Yoav Shoham & Richard Steinberg, 2007. "An Overview of Combinatorial Auctions," Papers of Peter Cramton 07oca, University of Maryland, Department of Economics - Peter Cramton, revised 2007.
  • Handle: RePEc:pcc:pccumd:07oca
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    References listed on IDEAS

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    11. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
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    Cited by:

    1. D'avid Csercsik, 2020. "Strategic bidding via the interplay of minimum income condition orders in day-ahead power exchanges," Papers 2012.07789, arXiv.org.
    2. Susan Athey & Glenn Ellison, 2011. "Position Auctions with Consumer Search," The Quarterly Journal of Economics, Oxford University Press, vol. 126(3), pages 1213-1270.
    3. Csercsik, Dávid, 2021. "Strategic bidding via the interplay of minimum income condition orders in day-ahead power exchanges," Energy Economics, Elsevier, vol. 95(C).
    4. Richstein, Jörn C. & Lorenz, Casimir & Neuhoff, Karsten, 2020. "An auction story: How simple bids struggle with uncertainty," Energy Economics, Elsevier, vol. 89(C).
    5. Tan, Bing Qing & Xu, Su Xiu & Kang, Kai & Xu, Gangyan & Qin, Wei, 2021. "A reverse Vickrey auction for physical internet (PI) enabled parking management systems," International Journal of Production Economics, Elsevier, vol. 235(C).

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    Keywords

    Auctions;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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