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On asymmetric reserve prices

Author

Listed:
  • Kotowski, Maciej H.

    (John F. Kennedy School of Government, Harvard University)

Abstract
We investigate equilibrium bidding in first-price auctions with asymmetric reserve prices. For example, the auctioneer may set a low reserve price for one subset of bidders and a high reserve price for others. When used to pursue a distributional objective, lowering the reserve price for some bidders channels benefits toward marginal agents in the favored group and does not adversely impact non-favored bidders whose reserve price is unchanged. Even in symmetric environments, when the valuation distribution is not regular, introducing asymmetric reserve prices can increase the auctioneer's revenue compared to an optimal common reserve price. Implications for auction design are considered.

Suggested Citation

  • Kotowski, Maciej H., 2018. "On asymmetric reserve prices," Theoretical Economics, Econometric Society, vol. 13(1), January.
  • Handle: RePEc:the:publsh:1824
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    References listed on IDEAS

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    1. Loertscher, Simon & Marx, Leslie M., 2017. "Auctions with bid credits and resale," International Journal of Industrial Organization, Elsevier, vol. 55(C), pages 58-90.
    2. Marshall Robert C. & Meurer Michael J. & Richard Jean-Francois & Stromquist Walter, 1994. "Numerical Analysis of Asymmetric First Price Auctions," Games and Economic Behavior, Elsevier, vol. 7(2), pages 193-220, September.
    3. Wayne-Roy Gayle & Jean Richard, 2008. "Numerical Solutions of Asymmetric, First-Price, Independent Private Values Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 32(3), pages 245-278, October.
    4. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Reserve Prices in Auctions as Reference Points," Economic Journal, Royal Economic Society, vol. 117(520), pages 637-653, April.
    5. Susan Athey & Dominic Coey & Jonathan Levin, 2013. "Set-Asides and Subsidies in Auctions," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 1-27, February.
    6. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
    7. Audrey Hu & Steven A. Matthews & Liang Zou, 2009. "Risk Aversion and Optimal Reserve Prices in First and Second-Price Auctions, Second Version," PIER Working Paper Archive 10-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Jan 2010.
    8. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    9. Rahul Deb & Mallesh M. Pai, 2017. "Discrimination via Symmetric Auctions," American Economic Journal: Microeconomics, American Economic Association, vol. 9(1), pages 275-314, February.
    10. Vasiliki Skreta, 2007. "Optimal Auctions with General Distributions," Levine's Bibliography 843644000000000227, UCLA Department of Economics.
    11. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57.
    12. V. Flambard & I. Perrigne, 2006. "Asymmetry in procurement auctions: some evidence from snow removal contracts," Post-Print hal-00323914, HAL.
    13. Monteiro, Paulo Klinger & Svaiter, Benar Fux, 2010. "Optimal auction with a general distribution: Virtual valuation without densities," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 21-31, January.
    14. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    15. Elena Krasnokutskaya & Katja Seim, 2011. "Bid Preference Programs and Participation in Highway Procurement Auctions," American Economic Review, American Economic Association, vol. 101(6), pages 2653-2686, October.
    16. Yeon-Koo Che & Ian L. Gale, 2008. "Caps on Political Lobbying," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 337-345, Springer.
    17. Véronique Flambard & Isabelle Perrigne, 2006. "Asymmetry in Procurement Auctions: Evidence from Snow Removal Contracts," Economic Journal, Royal Economic Society, vol. 116(514), pages 1014-1036, October.
    18. de Castro, Luciano I. & de Frutos, María-Angeles, 2010. "How to translate results from auctions to procurements," Economics Letters, Elsevier, vol. 106(2), pages 115-118, February.
    19. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
    20. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January.
    21. Philip J. Reny & Shmuel Zamir, 2004. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Econometrica, Econometric Society, vol. 72(4), pages 1105-1125, July.
    22. Brisset Karine & Naegelen Florence, 2006. "Why the Reserve Price Should Not Be Kept Secret," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-19, April.
    23. Todd Kaplan & Shmuel Zamir, 2012. "Asymmetric first-price auctions with uniform distributions: analytic solutions to the general case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 269-302, June.
    24. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
    25. Tong Li & Isabelle Perrigne, 2003. "Timber Sale Auctions with Random Reserve Prices," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 189-200, February.
    26. Levin, Dan & Smith, James L, 1996. "Optimal Reservation Prices in Auctions," Economic Journal, Royal Economic Society, vol. 106(438), pages 1271-1283, September.
    27. Marion, Justin, 2007. "Are bid preferences benign? The effect of small business subsidies in highway procurement auctions," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1591-1624, August.
    28. Toikka, Juuso, 2011. "Ironing without control," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2510-2526.
    29. Diego Moreno & John Wooders, 2011. "Auctions with heterogeneous entry costs," RAND Journal of Economics, RAND Corporation, vol. 42(2), pages 313-336, June.
    30. Kirkegaard, René, 2013. "Handicaps in incomplete information all-pay auctions with a diverse set of bidders," European Economic Review, Elsevier, vol. 64(C), pages 98-110.
    31. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    32. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    33. Dimitri,Nicola & Piga,Gustavo & Spagnolo,Giancarlo (ed.), 2006. "Handbook of Procurement," Cambridge Books, Cambridge University Press, number 9780521870733, September.
    34. Vincent Daniel R., 1995. "Bidding Off the Wall: Why Reserve Prices May Be Kept Secret," Journal of Economic Theory, Elsevier, vol. 65(2), pages 575-584, April.
    35. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-599, June.
    36. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    37. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    38. Hu, Audrey & Matthews, Steven A. & Zou, Liang, 2010. "Risk aversion and optimal reserve prices in first- and second-price auctions," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1188-1202, May.
    39. Cai, Hongbin & Riley, John & Ye, Lixin, 2007. "Reserve price signaling," Journal of Economic Theory, Elsevier, vol. 135(1), pages 253-268, July.
    40. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
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    Cited by:

    1. Banerjee, Shraman, 2021. "Treating Symmetric Buyers Asymmetrically," MPRA Paper 105971, University Library of Munich, Germany.
    2. Zhe Chen, 2021. "The multidimensional procurement auctions with reference‐based utility," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(2), pages 319-325, March.
    3. Burguet, Roberto & Sákovics, József, 2019. "Personalized prices and uncertainty in monopsony," International Journal of Industrial Organization, Elsevier, vol. 67(C).
    4. Shraman Banerjee, 2024. "Treating symmetric buyers asymmetrically," International Journal of Economic Theory, The International Society for Economic Theory, vol. 20(2), pages 159-181, June.
    5. Kirkegaard, René, 2022. "Efficiency in asymmetric auctions with endogenous reserve prices," Games and Economic Behavior, Elsevier, vol. 132(C), pages 234-239.

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    More about this item

    Keywords

    First-price auction; asymmetric auctions; reserve price; mechanism design; affirmative action; procurement;
    All these keywords.

    JEL classification:

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

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