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Optimal Auctions with Endogenous Entry

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  • Ye Lixin

    () (The Ohio State University)

Abstract

We consider a single object, independent private value auction model with entry. Potential bidders are ex ante symmetric and randomize about entry. After entry, each bidder incurs a cost, then learns her private value and a set of signals that may lead to updated beliefs about other entrants' valuations. It is shown that the Vickrey auction with free entry maximizes the expected revenue. Furthermore, if the information potentially available to bidders after entry is sufficiently rich, then the Vickrey auction, up to its equivalent class, is also the only optimal sealed-bid auction.

Suggested Citation

  • Ye Lixin, 2004. "Optimal Auctions with Endogenous Entry," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-29, October.
  • Handle: RePEc:bpj:bejtec:v:contributions.4:y:2004:i:1:n:8
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    Citations

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    Cited by:

    1. Cremer, Jacques & Spiegel, Yossi & Zheng, Charles Zhoucheng, 2007. "Optimal search auctions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 226-248, May.
    2. Jacques Crémer & Yossi Spiegel & Charles Zheng, 2009. "Auctions with costly information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 41-72, January.
    3. Gal, Shmuel & Landsberger, Michael & Nemirovski, Arkadi, 2007. "Participation in auctions," Games and Economic Behavior, Elsevier, vol. 60(1), pages 75-103, July.
    4. Ye, Lixin, 2007. "Indicative bidding and a theory of two-stage auctions," Games and Economic Behavior, Elsevier, vol. 58(1), pages 181-207, January.
    5. Diego Moreno & John Wooders, 2011. "Auctions with heterogeneous entry costs," RAND Journal of Economics, RAND Corporation, vol. 42(2), pages 313-336, June.
    6. Figueroa, Nicolás & Skreta, Vasiliki, 2009. "The role of optimal threats in auction design," Journal of Economic Theory, Elsevier, vol. 144(2), pages 884-897, March.
    7. Rasmusen Eric Bennett, 2006. "Strategic Implications of Uncertainty over One's Own Private Value in Auctions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-22, November.
    8. Daley, Brendan & Schwarz, Michael & Sonin, Konstantin, 2012. "Efficient investment in a dynamic auction environment," Games and Economic Behavior, Elsevier, vol. 75(1), pages 104-119.
    9. Kagel, John & Pevnitskaya, Svetlana & Ye, Lixin, 2008. "Indicative bidding: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 62(2), pages 697-721, March.
    10. Xu, Xiaoshu & Levin, Dan & Ye, Lixin, 2013. "Auctions with entry and resale," Games and Economic Behavior, Elsevier, vol. 79(C), pages 92-105.
    11. repec:eee:mateco:v:70:y:2017:i:c:p:66-73 is not listed on IDEAS
    12. Jingfeng Lu, 2009. "Why a Simple Second-Price Auction Induces Efficient Endogenous Entry," Theory and Decision, Springer, vol. 66(2), pages 181-198, February.
    13. repec:spr:reaccs:v:22:y:2017:i:2:d:10.1007_s11142-017-9405-3 is not listed on IDEAS
    14. Jingfeng Lu, 2010. "Entry Coordination And Auction Design With Private Costs Of Information Acquisition," Economic Inquiry, Western Economic Association International, vol. 48(2), pages 274-289, April.
    15. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    16. Cremer, Jacques & Spiegel, Yossi & Zheng, Charles Z., 2006. "Optimal search auctions with correlated bidder types," Economics Letters, Elsevier, vol. 93(1), pages 94-100, October.
    17. Lu, Jingfeng & Ye, Lixin, 2013. "Efficient and optimal mechanisms with private information acquisition costs," Journal of Economic Theory, Elsevier, vol. 148(1), pages 393-408.
    18. repec:spr:jogath:v:47:y:2018:i:1:d:10.1007_s00182-017-0583-9 is not listed on IDEAS
    19. Arozamena, Leandro & Weinschelbaum, Federico, 2011. "On favoritism in auctions with entry," Economics Letters, Elsevier, vol. 110(3), pages 265-267, March.
    20. Jacques Cremer & Yossi Spiegel & Charles Z. Zheng, 2004. "Auctions with costly information acquisition Constrained Bidders," Discussion Papers 1420, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    21. Trauten, Andreas & Langer, Thomas, 2007. "Information production and bidding in IPOs: An experimental analysis of auctions and fixed-price offerings," Working Papers 50, University of Münster, Competence Center Internet Economy and Hybrid Systems, European Research Center for Information Systems (ERCIS).

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