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The buy price in auctions with discrete type distributions

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  • Inami, Yusuke

Abstract

This paper considers second-price, sealed-bid auctions with a buy price where bidders' types are discretely distributed. We characterize all equilibria in which bidders whose types are less than the buy price bid their own valuations. Budish and Takeyama (2001) analyze the two-bidder, two-type framework. They show that if bidders are risk-averse, then the seller can obtain a higher expected revenue from the auction with a certain buy price than from the auction without a buy price. We extend their revenue improvement result to the n-bidder, two-type framework. In case of three or more types, however, bidders' risk aversion is not a sufficient condition for a revenue improvement. We point out that even if bidders are risk-averse, the seller cannot always obtain a higher expected revenue from the auctions with a buy price.

Suggested Citation

  • Inami, Yusuke, 2011. "The buy price in auctions with discrete type distributions," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 1-11, January.
  • Handle: RePEc:eee:matsoc:v:61:y:2011:i:1:p:1-11
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    References listed on IDEAS

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    1. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    2. Stanley Reynolds & John Wooders, 2009. "Auctions with a buy price," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 9-39, January.
    3. Budish, Eric B. & Takeyama, Lisa N., 2001. "Buy prices in online auctions: irrationality on the internet?," Economics Letters, Elsevier, vol. 72(3), pages 325-333, September.
    4. Chen, Yongmin & Rosenthal, Robert W, 1996. "Asking Prices as Commitment Devices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(1), pages 129-155, February.
    5. Yongmin Chen & Robert W. Rosenthal, 1996. "On the Use of Ceiling-Price Commitments by Monopolists," RAND Journal of Economics, The RAND Corporation, vol. 27(2), pages 207-220, Summer.
    6. Timothy Mathews & Brett Katzman, 2006. "The role of varying risk attitudes in an auction with a buyout option," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(3), pages 597-613, April.
    7. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    8. Hidvegi, Zoltan & Wang, Wenli & Whinston, Andrew B., 2006. "Buy-price English auction," Journal of Economic Theory, Elsevier, vol. 129(1), pages 31-56, July.
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    Cited by:

    1. Matzke, Andreas & Volling, Thomas & Spengler, Thomas S., 2016. "Upgrade auctions in build-to-order manufacturing with loss-averse customers," European Journal of Operational Research, Elsevier, vol. 250(2), pages 470-479.

    More about this item

    Keywords

    Auction Buy price Risk aversion;

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