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Auctioneer's Discretion in Combinatorial Auctions

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  • Hitoshi Matsushima

    (Graduate School of Economics, The University of Tokyo, Tokyo)

Abstract

We argue that in order to achieve the VCG outcomes in combinatorial auctions, the auctioneer does not need to make a full contractual agreement on the protocol with participants. We can leave the detail of its design to the auctioneer's discretion. The auctioneer can even make it contingent on unverifiable information. We consider general dynamical protocols termed price-demand procedures, and introduce representative valuation functions, which are, with connectedness and revealed preferences, calculated easily from the occurred history. It is sufficient to examine whether the efficient allocations with and without any single buyer associated with the representative valuation functions were revealed.

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File URL: http://www.carf.e.u-tokyo.ac.jp/pdf/workingpaper/fseries/305.pdf
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Bibliographic Info

Paper provided by Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo in its series CARF F-Series with number CARF-F-293.

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Length: 22 pages
Date of creation: Jan 2010
Date of revision: Sep 2012
Handle: RePEc:cfi:fseres:cf293

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  1. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
  2. MISHRA, Debasis & PARKES, David C., 2005. "Ascending price Vickrey auctions for general valuations," CORE Discussion Papers 2005052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Nisan, Noam & Segal, Ilya, 2006. "The communication requirements of efficient allocations and supporting prices," Journal of Economic Theory, Elsevier, vol. 129(1), pages 192-224, July.
  4. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, October.
  5. Hitoshi Matsushima, 2007. "Detail-Free Mechanism Design in Twice Iterative Dominance: Large Economies," CIRJE F-Series CIRJE-F-519, CIRJE, Faculty of Economics, University of Tokyo.
  6. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
  7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
  8. Hitoshi Matsushima, 2011. "Price-Based Combinatorial Auction: Connectedness and Representative Valuations," CARF F-Series CARF-F-261, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  9. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  10. Hitoshi Matsushima, 2004. "On Detail-Free Mechanism Design and Rationality," CARF F-Series CARF-F-010, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  11. Hitoshi Matsushima, 2010. "Price-Based Combinatorial Auction Design: Representative Valuations," CIRJE F-Series CIRJE-F-776, CIRJE, Faculty of Economics, University of Tokyo.
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