IDEAS home Printed from https://ideas.repec.org/p/spe/wpaper/0822.html
   My bibliography  Save this paper

Revenue Sharing and Competitive Balance in a Dynamic Contest Model

Author

Listed:
  • Martin Grossmann

    (Institute for Strategy and Business Economics, University of Zurich)

  • Helmut Dietl

    (Institute for Strategy and Business Economics, University of Zurich)

  • Markus Lang

    (Institute for Strategy and Business Economics, University of Zurich)

Abstract

This paper presents a dynamic model of talent investments in a team sports league with an infinite time horizon. We show that the clubs' investment decisions and the effects of revenue sharing on competitive balance depend on the following three factors: (i) the cost function of talent investments, (ii) the clubs' market sizes, and (iii) the initial endowments of talent stock. We analyze how these factors interact in the transition to the steady state as well as in the steady state itself.

Suggested Citation

  • Martin Grossmann & Helmut Dietl & Markus Lang, 2008. "Revenue Sharing and Competitive Balance in a Dynamic Contest Model," Working Papers 0822, International Association of Sports Economists;North American Association of Sports Economists, revised Nov 2009.
    • Handle: RePEc:spe:wpaper:0822
    as

    Download full text from publisher

    File URL: http://web.holycross.edu/RePEc/spe/GrossmannDietlLang_DynamicRevenueSharing.pdf
    File Function: Revised version, 2009
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Scott E. Atkinson & Linda R. Stanley & John Tschirhart, 1988. "Revenue Sharing as an Incentive in an Agency Problem: An example from the National Football League," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 27-43, Spring.
    3. Helmut M. Dietl & Markus Lang & Stephan Werner, 2009. "Social Welfare in Sports Leagues with Profit‐Maximizing and/or Win‐Maximizing Clubs," Southern Economic Journal, John Wiley & Sons, vol. 76(2), pages 375-396, October.
    4. Helmut M. Dietl & Egon Franck & Markus Lang, 2008. "Overinvestment In Team Sports Leagues: A Contest Theory Model," Scottish Journal of Political Economy, Scottish Economic Society, vol. 55(3), pages 353-368, July.
    5. Thomas Hoehn & Stefan Szymanski, 2010. "The Americanization of European football," Palgrave Macmillan Books, in: Football Economics and Policy, chapter 3, pages 52-96, Palgrave Macmillan.
    6. Helmut M. Dietl & Markus Lang, 2008. "The Effect Of Gate Revenue Sharing On Social Welfare," Contemporary Economic Policy, Western Economic Association International, vol. 26(3), pages 448-459, July.
    7. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    8. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    9. Stefan Szymanski & Stefan Késenne, 2010. "Competitive Balance and Gate Revenue Sharing in Team Sports," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 7, pages 229-243, Palgrave Macmillan.
    10. Helmut M. Dietl & Markus Lang & Stephan Werner, 2009. "Social Welfare in Sports Leagues with Profit-Maximizing and/or Win-Maximizing Clubs," Southern Economic Journal, John Wiley & Sons, vol. 76(2), pages 375-396, October.
    11. Daniel R. Marburger, 1997. "Gate Revenue Sharing And Luxury Taxes In Professional Sports," Contemporary Economic Policy, Western Economic Association International, vol. 15(2), pages 114-123, April.
    12. Rodney Fort & James Quirk, 2007. "Rational Expectations And Pro Sports Leagues," Scottish Journal of Political Economy, Scottish Economic Society, vol. 54(3), pages 374-387, July.
    13. Stefan Kesenne, 2000. "Revenue Sharing and Competitive Balance in Professional Team Sports," Journal of Sports Economics, , vol. 1(1), pages 56-65, February.
    14. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    15. Rodney Fort & James Quirk, 1995. "Cross-subsidization, Incentives, and Outcomes in Professional Team Sports Leagues," Journal of Economic Literature, American Economic Association, vol. 33(3), pages 1265-1299, September.
    16. El-Hodiri, Mohamed & Quirk, James, 1971. "An Economic Model of a Professional Sports League," Journal of Political Economy, University of Chicago Press, vol. 79(6), pages 1302-1319, Nov.-Dec..
    17. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    18. Martin Grossmann & Helmut M. Dietl, 2009. "Investment Behaviour in a Two-Period Contest Model," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 165(3), pages 401-417, September.
    19. Stefan Szymanski, 2004. "Professional Team Sports Are Only a Game," Journal of Sports Economics, , vol. 5(2), pages 111-126, May.
    20. Sloane, Peter J., 2006. "Rottenberg and the Economics of Sport after 50 Years: An Evaluation," IZA Discussion Papers 2175, Institute of Labor Economics (IZA).
    21. Avinash Dixit, 2008. "Strategic Behavior in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 431-438, Springer.
    22. Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 201-204.
    23. Rodney Fort & Jason Winfree, 2009. "Sports Really are Different: The Contest Success Function and the Supply of Talent," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 34(1), pages 69-80, February.
    24. John Vrooman, 2007. "Theory Of The Beautiful Game: The Unification Of European Football," Scottish Journal of Political Economy, Scottish Economic Society, vol. 54(3), pages 314-354, July.
    25. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 251-262, Springer.
    26. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    27. Young Lee & Rodney Fort, 2008. "Attendance and the Uncertainty-of-Outcome Hypothesis in Baseball," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 33(4), pages 281-295, December.
    28. Philippe Cyrenne, 2009. "Modelling Professional Sports Leagues: An Industrial Organization Approach," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 34(3), pages 193-215, May.
    29. John Vrooman, 2009. "Theory of the Perfect Game: Competitive Balance in Monopoly Sports Leagues," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 34(1), pages 5-44, February.
    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. Grossmann Martin & Lang Markus & Dietl Helmut, 2011. "Transitional Dynamics in a Tullock Contest with a General Cost Function," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-26, August.
    2. Roberto Burguet & József Sákovics, 2019. "Bidding For Talent In Sport," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 85-102, January.
    3. Helmut M. Dietl & Martin Grossmann & Markus Lang, 2011. "Competitive Balance and Revenue Sharing in Sports Leagues With Utility-Maximizing Teams," Journal of Sports Economics, , vol. 12(3), pages 284-308, June.
    4. Oliver Gürtler & Markus Lang & Tim Pawlowski, 2015. "On the Release of Players to National Teams," Journal of Sports Economics, , vol. 16(7), pages 695-713, October.
    5. Markus Lang & Martin Grossmann & Philipp Theiler, 2011. "The Sugar Daddy Game: How Wealthy Investors Change Competition in Professional Team Sports," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 167(4), pages 557-577, December.
    6. Markus Sass, 2016. "Glory Hunters, Sugar Daddies, and Long-Term Competitive Balance Under UEFA Financial Fair Play," Journal of Sports Economics, , vol. 17(2), pages 148-158, February.
    7. XiaoGang Che & Brad Humphreys, 2015. "Competition Between Sports Leagues: Theory and Evidence on Rival League Formation in North America," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 46(2), pages 127-143, March.
    8. Martin Grossmann, 2011. "Endogenous Liquidity Constraints in a Dynamic Contest," Working Papers 0148, University of Zurich, Institute for Strategy and Business Economics (ISU).
    9. Helmut Dietl & Egon Franck & Markus Lang & Alexander Rathke, 2010. "Organizational Differences between U.S. Major Leagues and European Leagues: Implications for Salary Caps," Working Papers 0122, University of Zurich, Institute for Strategy and Business Economics (ISU).
    10. Egon Franck & Markus Lang, 2014. "A Theoretical Analysis of the Influence of Money Injections on Risk Taking in Football Clubs," Scottish Journal of Political Economy, Scottish Economic Society, vol. 61(4), pages 430-454, September.
    11. Helmut Dietl & Tobias Duschl & Markus Lang, 2010. "Gehaltsobergrenzen und Luxussteuern: Erkenntnisse aus dem professionellen Mannschaftssport," Working Papers 0039, University of Zurich, Center for Research in Sports Administration (CRSA).
    12. Masaki Fujimoto, 2023. "A Dynamic Analysis of Equal Revenue Sharing and Endogenous Salary Caps in the N-Team Leagues," Journal of Sports Economics, , vol. 24(5), pages 624-638, June.
    13. Martin Grossmann & Andreas Hefti & Markus Lang, 2012. "Aggregative Contests and Ex-post Heterogeneity: the Case of the UEFA Champions League," Working Papers 0161, University of Zurich, Institute for Strategy and Business Economics (ISU).
    14. Grossmann, Martin & Hottiger, Dieter, 2020. "Liquidity constraints and the formation of unbalanced contests," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    15. 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.
    16. Michele Bisceglia & Assunta Gabriella Caputi & Luca Grilli & Vincenzo Pacelli, 2018. "Internal Balance and International Competitiveness: Sports Leagues Decision Models," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 4(3), pages 567-578, November.
    17. Aloys Prinz & Stefan Thiem, 2021. "Value‐maximizing football clubs," Scottish Journal of Political Economy, Scottish Economic Society, vol. 68(5), pages 605-622, November.
    18. Helmut Dietl & Egon Franck & Martin Grossmann & Markus Lang, 2009. "Contest Theory and its Applications in Sports," Working Papers 0105, University of Zurich, Institute for Strategy and Business Economics (ISU).
    19. Dmitry Ryvkin, 2013. "Heterogeneity of Players and Aggregate Effort in Contests," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(4), pages 728-743, 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. 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.
    2. 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).
    3. Helmut M. Dietl & Martin Grossmann & Markus Lang, 2011. "Competitive Balance and Revenue Sharing in Sports Leagues With Utility-Maximizing Teams," Journal of Sports Economics, , vol. 12(3), pages 284-308, June.
    4. Markus Lang & Martin Grossmann & Philipp Theiler, 2011. "The Sugar Daddy Game: How Wealthy Investors Change Competition in Professional Team Sports," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 167(4), pages 557-577, December.
    5. Dietl Helmut & Duschl Tobias & Franck Egon & Lang Markus, 2012. "A Contest Model of a Professional Sports League with Two-Sided Markets," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 232(3), pages 336-359, June.
    6. Helmut M. Dietl & Markus Lang & Alexander Rathke, 2011. "The Combined Effect Of Salary Restrictions And Revenue Sharing In Sports Leagues," Economic Inquiry, Western Economic Association International, vol. 49(2), pages 447-463, April.
    7. Helmut M. Dietl & Markus Lang & Stephan Werner, 2009. "Social Welfare in Sports Leagues with Profit‐Maximizing and/or Win‐Maximizing Clubs," Southern Economic Journal, John Wiley & Sons, vol. 76(2), pages 375-396, October.
    8. Helmut M. Dietl & Markus Lang, 2008. "The Effect Of Gate Revenue Sharing On Social Welfare," Contemporary Economic Policy, Western Economic Association International, vol. 26(3), pages 448-459, July.
    9. Helmut Dietl & Rodney Fort & Markus Lang, 2011. "International Sports League Comparisons," Working Papers 0144, University of Zurich, Institute for Strategy and Business Economics (ISU).
    10. Masaki Fujimoto, 2023. "A Dynamic Analysis of Equal Revenue Sharing and Endogenous Salary Caps in the N-Team Leagues," Journal of Sports Economics, , vol. 24(5), pages 624-638, June.
    11. Helmut Dietl & Egon Franck & Markus Lang & Alexander Rathke, 2010. "Organizational Differences between U.S. Major Leagues and European Leagues: Implications for Salary Caps," Working Papers 0035, University of Zurich, Center for Research in Sports Administration (CRSA).
    12. Helmut Dietl & Martin Grossmann & Andreas Hefti & Markus Lang, 2015. "Spillovers in Sports Leagues with Promotion and Relegation," Scottish Journal of Political Economy, Scottish Economic Society, vol. 62(1), pages 59-74, February.
    13. Oliver Gürtler & Markus Lang & Tim Pawlowski, 2015. "On the Release of Players to National Teams," Journal of Sports Economics, , vol. 16(7), pages 695-713, October.
    14. Jason Winfree & Rodney Fort, 2012. "Nash Conjectures and Talent Supply in Sports League Modeling," Journal of Sports Economics, , vol. 13(3), pages 306-313, June.
    15. Fort, Rodney & Maxcy, Joel & Diehl, Mark, 2016. "Uncertainty by regulation: Rottenberg׳s invariance principle," Research in Economics, Elsevier, vol. 70(3), pages 454-467.
    16. Helmut M. Dietl & Egon Franck & Markus Lang & Alexander Rathke, 2012. "Salary Cap Regulation In Professional Team Sports," Contemporary Economic Policy, Western Economic Association International, vol. 30(3), pages 307-319, July.
    17. Stefan Szymanski, 2010. "Teaching Competition in Professional Sports Leagues," The Journal of Economic Education, Taylor & Francis Journals, vol. 41(2), pages 150-168, March.
    18. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    19. John Vrooman, 2015. "Sportsman Leagues," Scottish Journal of Political Economy, Scottish Economic Society, vol. 62(1), pages 90-115, February.
    20. Martin Grossmann, 2015. "Evolutionarily Stable Strategies in Sports Contests," Journal of Sports Economics, , vol. 16(1), pages 108-121, January.

    More about this item

    Keywords

    Contest; Sports Economics; Competitive Balance; Revenue Sharing;
    All these keywords.

    JEL classification:

    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing

    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:spe:wpaper:0822. 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: Victor Matheson (email available below). General contact details of provider: https://edirc.repec.org/data/iaseeea.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.