[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/wrk/warwec/1200.html
   My bibliography  Save this paper

Costly auction entry, royalty payments, and the optimality of asymmetric designs

Author

Listed:
  • Bernhardt, Dan

    (University of Illinois & University of Warwick)

  • Liu, Tingjun

    (The University of Hong Kong)

  • Sogo, Takeharu

    (Osaka University of Economics)

Abstract
We analyze optimal auction mechanisms when bidders base costly entry decisions on their valuations, and bidders pay with a fixed royalty rate plus cash. With sufficient valuation uncertainty relative to entry costs, the optimal mechanism features asymmetry so that bidders enter with strictly positive but different (ex-ante) probabilities. When bidders are ex-ante identical, higher royalty rates—which tie payments more closely to bidder valuations—increase the optimal degree of asymmetry in auction design, further raising revenues. When bidders differ ex-ante in entry costs, the seller favors the low cost entrant ; whereas when bidders have different valuation distributions, the seller favors the weaker bidder if entry costs are low, but not if they are high. Higher royalty rates cause the seller to favor the weaker bidder by less, and the strong bidder by more.

Suggested Citation

  • Bernhardt, Dan & Liu, Tingjun & Sogo, Takeharu, 2019. "Costly auction entry, royalty payments, and the optimality of asymmetric designs," The Warwick Economics Research Paper Series (TWERPS) 1200, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:1200
    as

    Download full text from publisher

    File URL: https://warwick.ac.uk/fac/soc/economics/research/workingpapers/2019/twerp_1200_bernhardt.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. McAfee, R. Preston & McMillan, John, 1989. "Government procurement and international trade," Journal of International Economics, Elsevier, vol. 26(3-4), pages 291-308, May.
    2. Jingfeng Lu, 2009. "Auction design with opportunity cost," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 73-103, January.
    3. Campbell, Colin M., 1998. "Coordination in Auctions with Entry," Journal of Economic Theory, Elsevier, vol. 82(2), pages 425-450, October.
    4. Vivek Bhattacharya & James W. Roberts & Andrew Sweeting, 2014. "Regulating bidder participation in auctions," RAND Journal of Economics, RAND Corporation, vol. 45(4), pages 675-704, December.
    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. Rahul Deb & Mallesh M. Pai, 2017. "Discrimination via Symmetric Auctions," American Economic Journal: Microeconomics, American Economic Association, vol. 9(1), pages 275-314, February.
    7. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57.
    8. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    9. Gentry, Matthew & Stroup, Caleb, 2019. "Entry and competition in takeover auctions," Journal of Financial Economics, Elsevier, vol. 132(2), pages 298-324.
    10. Nakabayashi, Jun, 2013. "Small business set-asides in procurement auctions: An empirical analysis," Journal of Public Economics, Elsevier, vol. 100(C), pages 28-44.
    11. 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.
    12. Peter M. DeMarzo & Ilan Kremer & Andrzej Skrzypacz, 2005. "Bidding with Securities: Auctions and Security Design," American Economic Review, American Economic Association, vol. 95(4), pages 936-959, September.
    13. Celik Gorkem & Yilankaya Okan, 2009. "Optimal Auctions with Simultaneous and Costly Participation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-33, July.
    14. Michael J. Fishman, 1988. "A Theory of Preemptive Takeover Bidding," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 88-101, Spring.
    15. Gregor Andrade & Mark Mitchell & Erik Stafford, 2001. "New Evidence and Perspectives on Mergers," Journal of Economic Perspectives, American Economic Association, vol. 15(2), pages 103-120, Spring.
    16. Ye, Lixin, 2007. "Indicative bidding and a theory of two-stage auctions," Games and Economic Behavior, Elsevier, vol. 58(1), pages 181-207, January.
    17. Paul Povel & Rajdeep Singh, 2006. "Takeover Contests with Asymmetric Bidders," The Review of Financial Studies, Society for Financial Studies, vol. 19(4), pages 1399-1431.
    18. Takeharu Sogo & Dan Bernhardt & Tingjun Liu, 2016. "Endogenous Entry to Security-Bid Auctions," American Economic Review, American Economic Association, vol. 106(11), pages 3577-3589, November.
    19. Daniel Quint & Kenneth Hendricks, 2018. "A Theory of Indicative Bidding," American Economic Journal: Microeconomics, American Economic Association, vol. 10(2), pages 118-151, May.
    20. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    21. Liu, Tingjun, 2016. "Optimal equity auctions with heterogeneous bidders," Journal of Economic Theory, Elsevier, vol. 166(C), pages 94-123.
    22. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-599, June.
    23. Bates, Thomas W. & Lemmon, Michael L., 2003. "Breaking up is hard to do? An analysis of termination fee provisions and merger outcomes," Journal of Financial Economics, Elsevier, vol. 69(3), pages 469-504, September.
    24. Alexander S. Gorbenko & Andrey Malenko, 2011. "Competition among Sellers in Securities Auctions," American Economic Review, American Economic Association, vol. 101(5), pages 1806-1841, August.
    25. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    26. Skrzypacz, Andrzej, 2013. "Auctions with contingent payments — An overview," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 666-675.
    27. Sweeting, Andrew & Bhattacharya, Vivek, 2015. "Selective entry and auction design," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 189-207.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pan, Lijun & Wang, Dazhong, 2021. "The broker-optimal bilateral trading mechanisms with linear contracts," Economics Letters, Elsevier, vol. 208(C).
    2. Wang, Dazhong & Xu, Xinyi & Zeng, Xianjie, 2023. "Comparisons of standard royalty auctions with seller post-auction effort," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    3. Wang, Dazhong & Xu, Xinyi & Zeng, Xianjie, 2022. "Bid signaling in first-price royalty auction," Economics Letters, Elsevier, vol. 216(C).
    4. Jyh-Bang Jou & Charlene Tan Lee, 2023. "Design of the contingent royalty rate as related to the type of investment," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-25, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jehiel, Philippe & Lamy, Laurent, 2014. "On discrimination in procurement auctions," CEPR Discussion Papers 9790, C.E.P.R. Discussion Papers.
    2. Sweeting, Andrew & Bhattacharya, Vivek, 2015. "Selective entry and auction design," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 189-207.
    3. Liu, Tingjun & Bernhardt, Dan, 2019. "Optimal equity auctions with two-dimensional types," Journal of Economic Theory, Elsevier, vol. 184(C).
    4. Xin Feng & Jingfeng Lu & Yeneng Sun, 2020. "Ex Ante Efficient Mechanism With Private Entry Costs," Economic Inquiry, Western Economic Association International, vol. 58(3), pages 1531-1541, July.
    5. Gentry, Matthew & Li, Tong & Lu, Jingfeng, 2017. "Auctions with selective entry," Games and Economic Behavior, Elsevier, vol. 105(C), pages 104-111.
    6. Tingjun Liu & Dan Bernhardt, 2021. "Rent Extraction with Securities Plus Cash," Journal of Finance, American Finance Association, vol. 76(4), pages 1869-1912, August.
    7. 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.
    8. Xiaoyong Cao & Guofu Tan & Guoqiang Tian & Okan Yilankaya, 2018. "Equilibria in second-price auctions with private participation costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 231-249, March.
    9. Arozamena, Leandro & Weinschelbaum, Federico, 2011. "On favoritism in auctions with entry," Economics Letters, Elsevier, vol. 110(3), pages 265-267, March.
    10. Celik Gorkem & Yilankaya Okan, 2009. "Optimal Auctions with Simultaneous and Costly Participation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-33, July.
    11. 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.
    12. Ari Hyytinen & Sofia Lundberg & Otto Toivanen, 2018. "Design of public procurement auctions: evidence from cleaning contracts," RAND Journal of Economics, RAND Corporation, vol. 49(2), pages 398-426, June.
    13. Xiaogang Che & Tilman Klumpp, 2023. "Auctions versus sequential mechanisms when resale is allowed," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1207-1245, May.
    14. Liu, Tingjun, 2016. "Optimal equity auctions with heterogeneous bidders," Journal of Economic Theory, Elsevier, vol. 166(C), pages 94-123.
    15. Xiaohong Chen & Matthew Gentry & Tong Li & Jingfeng Lu, 2020. "Identification and Inference in First-Price Auctions with Risk Averse Bidders and Selective Entry," Cowles Foundation Discussion Papers 2257, Cowles Foundation for Research in Economics, Yale University.
    16. Agastya, Murali & Feng, Xin & Lu, Jingfeng, 2023. "Auction design with shortlisting when value discovery is covert," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    17. Andrés Fioriti & Allan Hernandez-Chanto, 2022. "Leveling the Playing Field for Risk-Averse Agents in Security-Bid Auctions," Management Science, INFORMS, vol. 68(7), pages 5441-5463, July.
    18. Rodrigo Carril & Andres Gonzalez-Lira & Michael S. Walker, 2022. "Competition under Incomplete Contracts and the Design of Procurement Policies," Working Papers 1327, Barcelona School of Economics.
    19. Todd Kaplan & Aner Sela, 2022. "Second-Price Auctions with Private Entry Costs," Games, MDPI, vol. 13(5), pages 1-14, September.
    20. Sun, Wuqin & Wang, Dazhong & Zhang, Yue, 2018. "Optimal profit sharing mechanisms with type-dependent outside options," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 57-66.

    More about this item

    Keywords

    Auctions with participation costs : Royalty payments ; Optimal auctions ; Asymmetric auctions ; Heterogeneous bidders;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • G3 - Financial Economics - - Corporate Finance and Governance

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wrk:warwec:1200. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Margaret Nash (email available below). General contact details of provider: https://edirc.repec.org/data/dewaruk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.