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Immediate Demand Reduction in Simultaneous Ascending Bid Auctions (new title: Immediate demand reduction in simultaneous ascending-bid auctions: a uniqueness result)

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  • Frank Riedel
  • Elmar G. Wolfstetter

Abstract

The present note analyzes the Simultaneous Ascending Bid Auction with arbitrarily many bidders with decreasing marginal valuations under complete information. We show that the game is solvable by iterated elimination of weakly dominated strategies if the efficient allocation assigns at least one unit to every player and if bid increments are sufficiently small. In that unique equilibrium, bidders immediately reduce their demand to the efficient allocation, and the auction ends in the first round of bidding.

Suggested Citation

  • Frank Riedel & Elmar G. Wolfstetter, 2004. "Immediate Demand Reduction in Simultaneous Ascending Bid Auctions (new title: Immediate demand reduction in simultaneous ascending-bid auctions: a uniqueness result)," CESifo Working Paper Series 1315, CESifo.
    • Handle: RePEc:ces:ceswps:_1315
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    File URL: https://www.cesifo.org/DocDL/cesifo1_wp1315.pdf
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    References listed on IDEAS

    as
    1. Menezes, Flavio M., 1996. "Multiple-unit English auctions," European Journal of Political Economy, Elsevier, vol. 12(4), pages 671-684, December.
    2. Grimm, Veronika & Riedel, Frank & Wolfstetter, Elmar, 2003. "Low price equilibrium in multi-unit auctions: the GSM spectrum auction in Germany," International Journal of Industrial Organization, Elsevier, vol. 21(10), pages 1557-1569, December.
    3. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, November.
    4. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April.
    5. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    6. Robert J. Weber, 1997. "Making More from Less: Strategic Demand Reduction in the FCC Spectrum Auctions," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 529-548, September.
    7. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    8. Cramton, Peter, 1998. "Ascending auctions," European Economic Review, Elsevier, vol. 42(3-5), pages 745-756, May.
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    Cited by:

    1. Wolfstetter, Elmar G., 2005. "Procurement of Goods and Services – Scope and Government," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 93, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.

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    Keywords

    Simultaneous Ascending Auction; weak dominance; multi-unit auctions; game theory;
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