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Multi-Unit Pay-Your-Bid Auction with One-Dimensional Multi-Unit Demands

Author

Listed:
  • Lebrun, Bernard
  • Tremblay, Marie-Christine

Abstract

When the demand functions depend on a one-dimensional private parameter, the two-unit pay-your-bid auction with two homogeneous bidders is equivalent to the one-unit first price auction with two heterogeneous bidders. The existence and uniqueness of the equilibrium of the pay-your-bid auction, its implicit characterization, the «more aggressive» bidding for the second unit, results of comparative statics, and comparisons with the Vickrey auction can be obtained from properties of the first price auction and comparisons with the second price auction.

Suggested Citation

  • Lebrun, Bernard & Tremblay, Marie-Christine, 1999. "Multi-Unit Pay-Your-Bid Auction with One-Dimensional Multi-Unit Demands," Cahiers de recherche 9921, Université Laval - Département d'économique.
  • Handle: RePEc:lvl:laeccr:9921
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    Cited by:

    1. Jacob Goeree & Theo Offerman & Randolph Sloof, 2013. "Demand reduction and preemptive bidding in multi-unit license auctions," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 52-87, March.
    2. Dirk Engelmann & Veronika Grimm, 2009. "Bidding Behaviour in Multi-Unit Auctions - An Experimental Investigation," Economic Journal, Royal Economic Society, vol. 119(537), pages 855-882, April.
    3. Ahmed Anwar, "undated". "Affiliation in Multi-Unit Discriminatory Auctions," ESE Discussion Papers 58, Edinburgh School of Economics, University of Edinburgh.
    4. Bresky, Michal, 2013. "Revenue and efficiency in multi-unit uniform-price auctions," Games and Economic Behavior, Elsevier, vol. 82(C), pages 205-217.

    More about this item

    JEL classification:

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

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