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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, 2000. "Affiliation in Multi-Unit Discriminatory Auctions," Edinburgh School of Economics Discussion Paper Series 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.
    5. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2022. "The net effect of advice on strategy-proof mechanisms: an experiment for the Vickrey auction," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 902-941, June.
    6. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2020. "The net effect of advice on strategy-proof mechanisms: An experiment for the Vickrey auction," ISER Discussion Paper 1109, Institute of Social and Economic Research, Osaka University.
    7. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2020. "The net effect of advice on strategy-proof mechanisms: An experiment for the Vickrey auction," ISER Discussion Paper 1109r, Institute of Social and Economic Research, Osaka University, revised May 2021.
    8. Takehito Masuda & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2019. "A Strategy-Proof Mechanism Should Be Announced to Be Strategy-Proof: An Experiment for the Vickrey Auction," ISER Discussion Paper 1048, Institute of Social and Economic Research, Osaka University.
    9. Takehito Masuda & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2019. "A Strategy-Proof Mechanism Should Be Announced to Be Strategy-Proof: An Experiment for the Vickrey Auction," ISER Discussion Paper 1048r, Institute of Social and Economic Research, Osaka University, revised Nov 2019.
    10. Wittwer, Milena, 2020. "Interconnected pay-as-bid auctions," Games and Economic Behavior, Elsevier, vol. 121(C), pages 506-530.
    11. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).

    More about this item

    JEL classification:

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

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