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The Multi-item Bisection Auction

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Abstract

This paper proposes an iterative sealed-bid auction for selling multiple heterogeneous items with unit-demand agents. It generalizes the single item bisection auction (Grigorieva Et. al, 2007) to the environment with multiple heterogeneous items. We show that it elicits a minimal amount of information on preferences required to find the Vickrey-Clark-Groves outcome (Clarke, 1971, Groves, 1973, Vickrey, 1961), when there are two items for sale and an arbitrary number of agents.

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  • Erlanson, Albin, 2011. "The Multi-item Bisection Auction," Working Papers 2011:31, Lund University, Department of Economics.
    • Handle: RePEc:hhs:lunewp:2011_031
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    1. Tommy Andersson & Christer Andersson, 2012. "Properties of the DGS-Auction Algorithm," Computational Economics, Springer;Society for Computational Economics, vol. 39(2), pages 113-133, February.
    2. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    3. Engelbrecht-Wiggans, Richard & Kahn, Charles M., 1991. "Protecting the winner : Second-price versus oral auctions," Economics Letters, Elsevier, vol. 35(3), pages 243-248, March.
    4. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    5. Motty Perry & Philip J. Reny, 2005. "An Efficient Multi-Unit Ascending Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 567-592.
    6. Mishra, Debasis & Parkes, David C., 2009. "Multi-item Vickrey-Dutch auctions," Games and Economic Behavior, Elsevier, vol. 66(1), pages 326-347, May.
    7. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February.
    8. Muysken, J. & Rutten, T., 2002. "Disability in the Netherlands: another dutch disease?," Research Memorandum 051, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    9. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    More about this item

    Keywords

    Bisection Auction; Multi-item; Unit-demand; Sealed-bid;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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