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Auction Theory from an All-Pay View: Buying Binary Lotteries

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  • Wolfgang Leininger

Abstract

An auction is viewed as a process that in equilibrium generates a binary lottery for each bidder, which the bidder "buys" with his bid. This view allows for a simple way to consistently assess differences in bidding behavior over different bidders and different auctions. E.g. all auctions covered by the Revenue Equivalence Theorem are shown to generate lotteries with identical probabilities, but different pay-offs. It is then argued, that understanding of (experimentally observed) bidding behavior in auctions is enhanced by drawing on the large literature on choice behavior over lotteries.

Suggested Citation

  • Wolfgang Leininger, 2000. "Auction Theory from an All-Pay View: Buying Binary Lotteries," CESifo Working Paper Series 382, CESifo.
    • Handle: RePEc:ces:ceswps:_382
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    References listed on IDEAS

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    1. Reinhard Selten & Abdolkarim Sadrieh & Klaus Abbink, 1999. "Money Does Not Induce Risk Neutral Behavior, but Binary Lotteries Do even Worse," Theory and Decision, Springer, vol. 46(3), pages 213-252, June.
    2. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    3. Wolfstetter, E., 1995. "A Simple Solution of Some Auction Games," SFB 373 Discussion Papers 1995,23, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    4. Paul Klemperer, 2000. "Applying Auction Theory to Economics," Economics Series Working Papers 1, University of Oxford, Department of Economics.
    5. Che, Yeon-Koo & Gale, Ian, 1997. "Rent Dissipation When Rent Seekers Are Budget Constrained," Public Choice, Springer, vol. 92(1-2), pages 109-126, July.
    6. Yasar Barut & Dan Kovenock & Charles N. Noussair, 2002. "A Comparison of Multiple-Unit All-Pay and Winner-Pay Auctions Under Incomplete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(3), pages 675-708, August.
    7. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
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    Cited by:

    1. Bettina Klose & Paul Schweinzer, 2022. "Auctioning risk: the all-pay auction under mean-variance preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 881-916, June.
    2. John Duffy & Alexander Matros, 2011. "All-Pay Auctions vs. Lotteries as Provisional Fixed-Prize Fundraising Mechanisms," Working Paper 448, Department of Economics, University of Pittsburgh, revised Jul 2013.
    3. Duffy, John & Matros, Alexander, 2021. "All-pay auctions versus lotteries as provisional fixed-prize fundraising mechanisms: Theory and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 192(C), pages 434-464.
    4. Metzger, Lars Peter, 2014. "Invader strategies in the war of attrition with private information," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 160-166.

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