[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/syd/wpaper/2024-06.html
   My bibliography  Save this paper

Elimination tournaments with resource constraints

Author

Listed:
  • Nicolas de Roos
  • Alexander Matros
  • Vladimir Smirnov
Abstract
We consider T -round elimination tournaments where players have fixed and equal endowments. We establish conditions for the existence and uniqueness of a symmetric equilibrium for a general class of elimination tournaments. We provide examples illustrating the existence of multiple equilibria. Additionally, we show how equilibrium depends on the prizes scheme, and demonstrate that the winner-take-all prize scheme ensures equal resource allocation across all rounds.

Suggested Citation

  • Nicolas de Roos & Alexander Matros & Vladimir Smirnov, 2024. "Elimination tournaments with resource constraints," Working Papers 2024-06, University of Sydney, School of Economics.
  • Handle: RePEc:syd:wpaper:2024-06
    as

    Download full text from publisher

    File URL: http://econ-wpseries.com/2024/202406.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Jun Zhang & Ruqu Wang, 2009. "The Role of Information Revelation in Elimination Contests," Economic Journal, Royal Economic Society, vol. 119(536), pages 613-641, March.
    4. Christian Ewerhart, 2015. "Mixed equilibria in Tullock contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 59-71, September.
    5. Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 833-861, April.
    6. Yeon-Koo Che & Ian Gale, 2003. "Optimal Design of Research Contests," American Economic Review, American Economic Association, vol. 93(3), pages 646-671, June.
    7. Sheremeta, Roman M., 2010. "Experimental comparison of multi-stage and one-stage contests," Games and Economic Behavior, Elsevier, vol. 68(2), pages 731-747, March.
    8. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    9. Jun Zhang & Ruqu Wang, 2009. "The Role of Information Revelation in Elimination Contests," Economic Journal, Royal Economic Society, vol. 119(536), pages 613-641, March.
    10. Richard L. Fullerton & Bruce G. Linster & Michael McKee & Stephen Slate, 2002. "Using Auctions To Reward Tournament Winners: Theory and Experimental Investigations," RAND Journal of Economics, The RAND Corporation, vol. 33(1), pages 62-84, Spring.
    11. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    12. Jean-Pierre Benoît & Vijay Krishna, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 155-179.
    13. Arieh Gavious & Benny Moldovanu & Aner Sela, 2002. "Bid Costs and Endogenous Bid Caps," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 709-722, Winter.
    14. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    15. Qiang Fu & Jingfeng Lu, 2012. "The optimal multi-stage contest," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 351-382, October.
    16. Drugov, Mikhail & Ryvkin, Dmitry, 2020. "Tournament rewards and heavy tails," Journal of Economic Theory, Elsevier, vol. 190(C).
    17. Ehrenberg, Ronald G & Bognanno, Michael L, 1990. "Do Tournaments Have Incentive Effects?," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1307-1324, December.
    18. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
    19. Yosef Rinott & Marco Scarsini & Yaming Yu, 2012. "A Colonel Blotto Gladiator Game," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 574-590, November.
    20. Rosen, Sherwin, 1981. "The Economics of Superstars," American Economic Review, American Economic Association, vol. 71(5), pages 845-858, December.
    21. Lawrence Friedman, 1958. "Game-Theory Models in the Allocation of Advertising Expenditures," Operations Research, INFORMS, vol. 6(5), pages 699-709, October.
    22. Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-890, September.
    23. Knoeber, Charles R & Thurman, Walter N, 1994. "Testing the Theory of Tournaments: An Empirical Analysis of Broiler Production," Journal of Labor Economics, University of Chicago Press, vol. 12(2), pages 155-179, April.
    24. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    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. Alexander Matros, 2006. "Elimination Tournaments where Players Have Fixed Resources," Working Paper 205, Department of Economics, University of Pittsburgh, revised Jan 2006.
    2. 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.
    3. Sheremeta, Roman, 2009. "Essays on Experimental Investigation of Lottery Contests," MPRA Paper 49888, University Library of Munich, Germany.
    4. Chiappinelli, Olga, 2014. "An elimination contest with non-sunk bids," MPRA Paper 56140, University Library of Munich, Germany.
    5. Migheli, Matteo, 2019. "Competing for promotion: Are “THE BEST” always the best?," Research in Economics, Elsevier, vol. 73(2), pages 149-161.
    6. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Lian Jian & Zheng Li & Tracy Xiao Liu, 2017. "Simultaneous versus sequential all-pay auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 648-669, September.
    8. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    9. 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.
    10. 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.
    11. Jean-François Mercier, 2018. "Selecting contestants for a rent-seeking contest," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 927-947, September.
    12. Kimbrough, Erik O. & Laughren, Kevin & Sheremeta, Roman, 2020. "War and conflict in economics: Theories, applications, and recent trends," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 998-1013.
    13. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    14. Markus LANG & Alexander RATHKE & Marco RUNKEL, 2010. "The Economic Consequences Of Foreigner Rules In National Sports Leagues," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 31, pages 47-64.
    15. Bo Chen & Shanlin Jin, 2023. "Elimination contests with collusive team players," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 61-89, February.
    16. Nicolas Houy & Jean-Philippe Nicolaï & Marie Claire Villeval, 2020. "Always doing your best? Effort and performance in dynamic settings," Theory and Decision, Springer, vol. 89(3), pages 249-286, October.
    17. Helmut Dietl & Egon Franck & Martin Grossmann & Markus Lang, 2009. "Contest Theory and its Applications in Sports," Working Papers 0029, University of Zurich, Center for Research in Sports Administration (CRSA).
    18. Dmitry Ryvkin & Andreas Ortmann, 2008. "The Predictive Power of Three Prominent Tournament Formats," Management Science, INFORMS, vol. 54(3), pages 492-504, March.
    19. Aner Sela, 2002. "Contest Architecture (jointly with Benny Moldovanu)," Theory workshop papers 357966000000000088, UCLA Department of Economics.
    20. Fu, Qiang & Wang, Xiruo & Wu, Zenan, 2021. "Multi-prize contests with risk-averse players," Games and Economic Behavior, Elsevier, vol. 129(C), pages 513-535.

    More about this item

    Keywords

    Elimination tournaments; Fixed resources.;

    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:syd:wpaper:2024-06. 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: Vanessa Holcombe (email available below). General contact details of provider: https://edirc.repec.org/data/deusyau.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.