IDEAS home Printed from https://ideas.repec.org/a/eee/eecrev/v162y2024ics0014292123002842.html
   My bibliography  Save this article

The tripartite auction folk theorem

Author

Listed:
  • Levine, David K.
  • Mattozzi, Andrea
  • Modica, Salvatore

Abstract

We formally study two bidder first-price, second-price, and all-pay auctions with known values, deriving the equilibrium payoffs and strategies and showing when all three yield the same equilibrium payoffs to the bidders. This latter result, the tripartite auction theorem, does not hold for all auctions, in particular it can fail for symmetric auctions with high stakes and in auctions with very low stakes.

Suggested Citation

  • Levine, David K. & Mattozzi, Andrea & Modica, Salvatore, 2024. "The tripartite auction folk theorem," European Economic Review, Elsevier, vol. 162(C).
  • Handle: RePEc:eee:eecrev:v:162:y:2024:i:c:s0014292123002842
    DOI: 10.1016/j.euroecorev.2023.104656
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0014292123002842
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.euroecorev.2023.104656?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 1-31.
    2. David K. Levine & Andrea Mattozzi, 2020. "Voter Turnout with Peer Punishment," American Economic Review, American Economic Association, vol. 110(10), pages 3298-3314, October.
    3. 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.
    4. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    5. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    6. Olszewski, Wojciech & Siegel, Ron, 2023. "Equilibrium existence in contests with bid caps," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    7. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    8. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    9. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    10. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    11. David K Levine & Andrea Mattozzi & Salvatore Modica, 2022. "Social Mechanisms and Political Economy: When Lobbyists Succeed, Pollsters Fail and Populists Win," Levine's Working Paper Archive 11694000000000148, David K. Levine.
    12. Ron Siegel, 2014. "Asymmetric Contests with Head Starts and Nonmonotonic Costs," American Economic Journal: Microeconomics, American Economic Association, vol. 6(3), pages 59-105, August.
    13. Gary S. Becker, 1983. "A Theory of Competition Among Pressure Groups for Political Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 371-400.
    14. Timothy Feddersen & Alvaro Sandroni, 2006. "A Theory of Participation in Elections," American Economic Review, American Economic Association, vol. 96(4), pages 1271-1282, September.
    Full references (including those not matched with items on IDEAS)

    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. David K. Levine & Andrea Mattozzi, 2022. "Success in contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 595-624, April.
    2. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    3. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    4. Deng, Shanglyu & Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2024. "Contests with sequential entry and incomplete information," Theoretical Economics, Econometric Society, vol. 19(2), May.
    5. Yizhaq Minchuk & Aner Sela, 2020. "Contests with insurance," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 1-22, June.
    6. David P. Myatt, 2005. "Instant Exit from the Asymmetric War of Attrition," Economics Series Working Papers 160, University of Oxford, Department of Economics.
    7. Sérgio O. Parreiras & Anna Rubinchik, 2020. "Ex ante heterogeneity in all-pay many-player auctions with Pareto distribution of costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 765-783, October.
    8. Levine, David K. & Modica, Salvatore, 2017. "Size, fungibility, and the strength of lobbying organizations," European Journal of Political Economy, Elsevier, vol. 49(C), pages 71-83.
    9. Sela, Aner, 2023. "Two-stage elimination games," Journal of Mathematical Economics, Elsevier, vol. 109(C).
    10. Zhuoqiong Chen, 2021. "All-pay auctions with private signals about opponents’ values," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 33-64, June.
    11. Todd R. Kaplan & Aner Sela, 2008. "Effective Political Contests," Working Papers 0804, Ben-Gurion University of the Negev, Department of Economics.
    12. Chi, Chang Koo & Murto, Pauli & Valimaki, Juuso, 2017. "All-Pay Auctions with Affiliated Values," MPRA Paper 80799, University Library of Munich, Germany.
    13. Zudenkova, Galina, 2010. "Sincere Lobby Formation," Working Papers 2072/151545, Universitat Rovira i Virgili, Department of Economics.
    14. Ezra Einy & Ori Haimanko & Ram Orzach & Aner Sela, 2014. "Common-Value All-Pay Auctions with Asymmetric Information and Bid Caps," Working Papers 1402, Ben-Gurion University of the Negev, Department of Economics.
    15. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    16. Hu, Youxin & Kagel, John & Xu, Xiaoshu & Ye, Lixin, 2013. "Theoretical and experimental analysis of auctions with negative externalities," Games and Economic Behavior, Elsevier, vol. 82(C), pages 269-291.
    17. Aner Sela, 2016. "Two Stage Contests With Effort-Dependent Rewards," Working Papers 1612, Ben-Gurion University of the Negev, Department of Economics.
    18. Laurent Bouton & Micael Castanheira & Allan Drazen, 2018. "A Theory of Small Campaign Contributions," NBER Working Papers 24413, National Bureau of Economic Research, Inc.
    19. Cramton, Peter C, 1995. "Money Out of Thin Air: The Nationwide Narrowband PCS Auction," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(2), pages 267-343, Summer.
    20. Cotton, Christopher, 2009. "Should we tax or cap political contributions? A lobbying model with policy favors and access," Journal of Public Economics, Elsevier, vol. 93(7-8), pages 831-842, August.

    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:eee:eecrev:v:162:y:2024:i:c:s0014292123002842. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eer .

    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.