IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v86y2020icp41-51.html
   My bibliography  Save this article

Tournament-stable equilibria

Author

Listed:
  • De Sinopoli, Francesco
  • Meroni, Claudia
  • Pimienta, Carlos

Abstract

Building on Arad and Rubinstein (2013), we introduce tournaments as simultaneous n-player games based on an m-player game g. A player meets each group of m−1 opponents m! times to play g in alternating roles. The winner of the tournament is the player who attains the highest accumulated score. We explore the relationship between the equilibria of the tournament and the equilibria of the game g and confirm that tournaments provide a refinement criterion. We compare it with standard refinements in the literature and show that it is satisfied by strict equilibria. We use our tournament model to study a selection of relevant economic applications, including risk-taking behavior.

Suggested Citation

  • De Sinopoli, Francesco & Meroni, Claudia & Pimienta, Carlos, 2020. "Tournament-stable equilibria," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 41-51.
  • Handle: RePEc:eee:mateco:v:86:y:2020:i:c:p:41-51
    DOI: 10.1016/j.jmateco.2019.11.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030440681930117X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2019.11.003?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. MERTENS, Jean-François, 1989. "Stable equilibria - a reformulation. Part I. Definition and basic properties," LIDAM Reprints CORE 866, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Green, Jerry R & Stokey, Nancy L, 1983. "A Comparison of Tournaments and Contracts," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 349-364, June.
    3. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    4. Gilbert Laffond & Jean-François Laslier & Michel Breton, 2000. "K–Player Additive Extension of Two-Player games with an Application to the Borda Electoral Competition Game," Theory and Decision, Springer, vol. 48(2), pages 129-137, March.
    5. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2012. "Optimal seedings in elimination tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 59-80, January.
    6. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    7. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-898, December.
    8. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, Decembrie.
    9. Rahul Savani & Bernhard von Stengel, 2016. "Unit vector games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(1), pages 7-27, March.
    10. Konrad, Kai A., 2004. "Bidding in hierarchies," European Economic Review, Elsevier, vol. 48(6), pages 1301-1308, December.
    11. Ayala Arad & Ariel Rubinstein, 2013. "Strategic Tournaments," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 31-54, November.
    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. Francesco De Sinopoli & Claudia Meroni & Carlos Pimienta, 2016. "Double round-robin tournaments," Discussion Papers 2016-04, School of Economics, The University of New South Wales.
    2. Ayala Arad & Ariel Rubinstein, 2013. "Strategic Tournaments," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 31-54, November.
    3. Doron Klunover, 2020. "Nice guys don't always finish last: succeeding in hierarchical organizations," Papers 2007.04435, arXiv.org, revised Sep 2020.
    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. Kovenock, Dan & Konrad, Kai A., 2006. "Multi-Stage Contests with Stochastic Ability," CEPR Discussion Papers 5844, C.E.P.R. Discussion Papers.
    6. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    7. Vong, Allen I.K., 2017. "Strategic manipulation in tournament games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 562-567.
    8. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    9. Kyung Hwan Baik & Jong Hwa Lee, 2013. "Endogenous Timing In Contests With Delegation," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2044-2055, October.
    10. Kräkel, Matthias, 2004. "Emotions and Incentives," IZA Discussion Papers 1270, Institute of Labor Economics (IZA).
    11. Gershkov, Alex & Perry, Motty, 2009. "Tournaments with midterm reviews," Games and Economic Behavior, Elsevier, vol. 66(1), pages 162-190, May.
    12. Galina Besstremyannaya & Sergei Golovan, 2019. "Physician’s altruism in incentive contracts: Medicare’s quality race," CINCH Working Paper Series 1903, Universitaet Duisburg-Essen, Competent in Competition and Health.
    13. Christian Ewerhart & Julia Lareida, 2018. "Voluntary disclosure in asymmetric contests," ECON - Working Papers 279, Department of Economics - University of Zurich, revised Jul 2023.
    14. Rudi Stracke & Wolfgang Höchtl & Rudolf Kerschbamer & Uwe Sunde, 2015. "Incentives and Selection in Promotion Contests: Is It Possible to Kill Two Birds with One Stone?," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 36(5), pages 275-285, July.
    15. Josse Delfgaauw & Robert Dur & Arjan Non & Willem Verbeke, 2015. "The Effects of Prize Spread and Noise in Elimination Tournaments: A Natural Field Experiment," Journal of Labor Economics, University of Chicago Press, vol. 33(3), pages 521-569.
    16. Jennifer Brown & Dylan B. Minor, 2014. "Selecting the Best? Spillover and Shadows in Elimination Tournaments," Management Science, INFORMS, vol. 60(12), pages 3087-3102, December.
    17. Sela, Aner & Megidish, Reut, 2014. "Optimal Allocations in Round-Robin Tournaments," CEPR Discussion Papers 9873, C.E.P.R. Discussion Papers.
    18. Caruso, Raul & Schneider, Friedrich, 2009. "Al Qaeda and Jihadist Terrorism in the Light of Contest Theory, Empirical Evidence for the period 2004-2008," MPRA Paper 15856, University Library of Munich, Germany.
    19. Johannes Münster, 2007. "Contests with investment," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(8), pages 849-862.
    20. Aner Sela & Maya Amiad, 2016. "The Optimal Allocation Of Punishments In Tullock Contests," Working Papers 1613, Ben-Gurion University of the Negev, Department of Economics.

    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:mateco:v:86:y:2020:i:c:p:41-51. 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/jmateco .

    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.