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Revenue and efficiency effects of resale in first-price auctions

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  • Hafalir, Isa
  • Krishna, Vijay

Abstract

We study first-price auctions in a model with asymmetric, independent private values. Asymmetries lead to inefficient allocations, thereby creating a motive for resale after the auction is over. In our model, resale takes place via monopoly pricing--the winner of the auction makes a take-it-or-leave-it offer to the loser. Our goal is to compare equilibria of the first-price auction without resale (FPA) with those of the first-price auction with resale (FPAR). For the three major families of distributions for which equilibria of the FPA are available in closed form, we show that resale possibilities increase the revenue of the original seller. We also show by example that, somewhat paradoxically, resale may actually decrease efficiency.

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  • Hafalir, Isa & Krishna, Vijay, 2009. "Revenue and efficiency effects of resale in first-price auctions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 589-602, September.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:9-10:p:589-602
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    Cited by:

    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. Georganas, Sotiris & Kagel, John, 2011. "Asymmetric auctions with resale: An experimental study," Journal of Economic Theory, Elsevier, vol. 146(1), pages 359-371, January.
    3. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    4. Cheng, Harrison, 2011. "Auctions with resale and bargaining power," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 300-308.
    5. Mensch, Jeffrey, 2020. "On the existence of monotone pure-strategy perfect Bayesian equilibrium in games with complementarities," Journal of Economic Theory, Elsevier, vol. 187(C).
    6. Onur A. Koska & Ilke Onur & Frank Stähler, 2018. "The scope of auctions in the presence of downstream interactions and information externalities," Journal of Economics, Springer, vol. 125(2), pages 107-136, October.
    7. Sanyyam Khurana, 2024. "Unraveling of value-rankings in auctions with resale," Review of Economic Design, Springer;Society for Economic Design, vol. 28(2), pages 455-483, June.
    8. Sanyyam Khurana, 2024. "Auctions with resale at a later date," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 843-875, November.
    9. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    10. Pagnozzi, Marco & Saral, Krista J., 2019. "Efficiency in auctions with (failed) resale," Journal of Economic Behavior & Organization, Elsevier, vol. 159(C), pages 254-273.
    11. Moshe Babaioff & Nicole Immorlica & Yingkai Li & Brendan Lucier, 2021. "Making Auctions Robust to Aftermarkets," Papers 2107.05853, arXiv.org, revised Nov 2022.
    12. Virág, Gábor, 2016. "Auctions with resale: Reserve prices and revenues," Games and Economic Behavior, Elsevier, vol. 99(C), pages 239-249.
    13. Piotr Dworczak, 2020. "Mechanism Design With Aftermarkets: Cutoff Mechanisms," Econometrica, Econometric Society, vol. 88(6), pages 2629-2661, November.
    14. Akyol, Ethem, 2019. "Effects of resale in second-price auctions with private participation costs," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 6-19.
    15. Bernard Lebrun, 2008. "First-Price, Second-Price, and English Auctions with Resale," Working Papers 2008_06, York University, Department of Economics.
    16. Isa Hafalir & Musab Kurnaz, 2019. "Discriminatory auctions with resale," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 173-189, December.
    17. Gábor Virág, 2013. "First-price auctions with resale: the case of many bidders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 129-163, January.
    18. Sanyyam Khurana, 2022. "Auctions with resale and risk aversion," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 117-128, May.
    19. Akyol, Ethem, 2021. "Can resale harm the original seller in a second-price auction?," Economics Letters, Elsevier, vol. 203(C).
    20. Xiaoshu Xu & Dan Levin & Lixin Ye, 2012. "Auctions with synergy and resale," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 397-426, May.
    21. Xu, Xiaoshu & Levin, Dan & Ye, Lixin, 2013. "Auctions with entry and resale," Games and Economic Behavior, Elsevier, vol. 79(C), pages 92-105.
    22. 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.
    23. Bernard Lebrun, 2010. "First‐price auctions with resale and with outcomes robust to bid disclosure," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 165-178, March.

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    Auctions Asymmetries Resale;

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