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Aggregative Contests and Ex-post Heterogeneity: the Case of the UEFA Champions League

Author

Listed:
  • Martin Grossmann

    (Department of Business Administration, University of Zurich)

  • Andreas Hefti

    (Department of Economics, University of Zurich)

  • Markus Lang

    (Department of Business Administration, University of Zurich)

Abstract

The UEFA Champions League is an annual Pan-European football competition that takes place parallel to the domestic league competitions. The participation in the Champions League secures the teams large payments, which have steadily increased over the last decade. This paper develops a general contest model of a professional team sports league in which the winner of the domestic league competition participates in the Champions League and has the possibility to win an additional prize. Our model considers two leagues where each league is composed out of several profit-maximizing clubs. We analyze the impact of the Champions League on investment incentives, competitive balance and club profits. Our model shows that the Champions League prize and domestic league prize have differential effects on competitive balance: an increase in the Champions League prize decreases competitive balance, while an increase in the domestic league prize increases competitive balance.

Suggested Citation

  • 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).
  • Handle: RePEc:iso:wpaper:0161
    as

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    File URL: http://repec.business.uzh.ch/RePEc/iso/ISU_WPS/161_ISU_full.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Walter C. Neale, 1964. "The Peculiar Economics of Professional Sports," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 78(1), pages 1-14.
    4. Martin Grossmann & Helmut Dietl & Markus Lang, 2010. "Revenue Sharing and Competitive Balance in a Dynamic Contest Model," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 36(1), pages 17-36, February.
    5. 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.
    6. William E. Stein & Amnon Rapoport, 2004. "Asymmetric Two-Stage Group Rent-Seeking: Comparison of Two Contest Structures," Public Choice, Springer, vol. 118(1_2), pages 151-167, January.
    7. 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.
    8. Rick Harbaugh & Tilman Klumpp, 2005. "Early Round Upsets and Championship Blowouts," Economic Inquiry, Western Economic Association International, vol. 43(2), pages 316-329, April.
    9. Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64, pages 242-242.
    10. Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-545, October.
    11. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    17. Tim Pawlowski & Christoph Breuer & Arnd Hovemann, 2010. "Top Clubs’ Performance and the Competitive Situation in European Domestic Football Competitions," Journal of Sports Economics, , vol. 11(2), pages 186-202, April.
    18. 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.
    19. Dietl Helmut M & Lang Markus & Rathke Alexander, 2009. "The Effect of Salary Caps in Professional Team Sports on Social Welfare," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-23, April.
    20. 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.
    21. Stefan Kesenne, 2000. "Revenue Sharing and Competitive Balance in Professional Team Sports," Journal of Sports Economics, , vol. 1(1), pages 56-65, February.
    22. 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.
    23. Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
    24. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 497-516, October.
    25. 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.
    26. Andreas Hefti, 2011. "On uniqueness and stability of symmetric equilibria in differentiable symmetric games," ECON - Working Papers 018, Department of Economics - University of Zurich.
    27. Kesenne, Stefan, 2000. "The Impact of Salary Caps in Professional Team Sports," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(4), pages 422-430, September.
    28. 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.
    29. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
    30. Barry J. Nalebuff & Joseph E. Stiglitz, 1983. "Prices and Incentives: Towards a General Theory of Compensation and Competition," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 21-43, Spring.
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    Cited by:

    1. Grossmann, Martin & Dietl, Helmut, 2015. "Heterogeneous outside options in contests," European Journal of Political Economy, Elsevier, vol. 37(C), pages 280-287.

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    More about this item

    Keywords

    Aggregative game; contest; heterogeneity; team sports league;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism

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