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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.

Suggested Citation

  • 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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    File URL: http://project.nek.lu.se/publications/workpap/papers/WP11_31.pdf
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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. 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.
    3. 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.
    4. Mishra, Debasis & Parkes, David C., 2009. "Multi-item Vickrey-Dutch auctions," Games and Economic Behavior, Elsevier, vol. 66(1), pages 326-347, May.
    5. Elena Grigorieva & P. Herings & Rudolf Müller & Dries Vermeulen, 2007. "The private value single item bisection auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 107-118, January.
    6. 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.
    7. 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;

    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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