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The tripartite auction folk theorem

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  • 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
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    References listed on IDEAS

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    1. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    2. 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.
    3. 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.
    4. David K. Levine & Andrea Mattozzi, 2020. "Voter Turnout with Peer Punishment," American Economic Review, American Economic Association, vol. 110(10), pages 3298-3314, October.
    5. 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.
    6. Timothy Feddersen & Alvaro Sandroni, 2006. "A Theory of Participation in Elections," American Economic Review, American Economic Association, vol. 96(4), pages 1271-1282, September.
    7. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    8. Olszewski, Wojciech & Siegel, Ron, 2023. "Equilibrium existence in contests with bid caps," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    9. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    10. 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.
    11. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    12. 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.
    13. 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.
    14. 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.
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