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Investment Behaviour in a Two Period Contest Model

Author

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  • Martin Grossmann

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

  • Helmut Dietl

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

Abstract

This paper presents a two-period model of talent investments where two clubs compete with respect to a contest prize. We show that two qualitatively different types of equilibria are possible using a closed-loop approach with strictly convex costs: The large market club invests in both periods more than the small market club or the small market club invests in both periods more than the large market club. In case of an open-loop approach with strictly convex costs, however, the large market club always invests more. The open-loop and closed-loop equilibria coincide if costs are linear.

Suggested Citation

  • Martin Grossmann & Helmut Dietl, 2007. "Investment Behaviour in a Two Period Contest Model," Working Papers 0069, University of Zurich, Institute for Strategy and Business Economics (ISU).
    • Handle: RePEc:iso:wpaper:0069
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    References listed on IDEAS

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    10. 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..
    11. Martin Grossmann & Helmut M. Dietl & Urs Trinkner, 2008. "The Effect of Marginal Cost Elasticity on Competitive Balance," Journal of Sports Economics, , vol. 9(4), pages 339-350, August.
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    Cited by:

    1. 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.
    2. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    3. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
    4. 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.
    5. Martin Grossmann, 2011. "Endogenous Liquidity Constraints in a Dynamic Contest," Working Papers 0148, University of Zurich, Institute for Strategy and Business Economics (ISU).
    6. 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.
    7. Grossmann, Martin & Hottiger, Dieter, 2020. "Liquidity constraints and the formation of unbalanced contests," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    8. 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.
    9. 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.
    10. 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.
    11. Martin Grossmann, 2015. "Evolutionarily Stable Strategies in Sports Contests," Journal of Sports Economics, , vol. 16(1), pages 108-121, January.
    12. Derek J. Clark & Tore Nilssen & Jan Yngve Sand, 2020. "Gaining advantage by winning contests," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 23-38, June.
    13. Clark, Derek J. & Nilssen, Tore & Sand, Jan Yngve, 2012. "Motivating over Time: Dynamic Win Effects in Sequential Contests," Memorandum 28/2012, Oslo University, Department of Economics.
    14. 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.
    15. Garcia-del-Barrio, Pedro & Agnese, Pablo, 2021. "Does Compliance with Financial Fair Play Rules Improve the Football Clubs' Sport Performance and Their Chances to Reach UEFA Competitions?," IZA Discussion Papers 14474, Institute of Labor Economics (IZA).
    16. 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).
    17. Clark, Derek J. & Nilssen , Tore & Sand, Jan Yngve, 2014. "Keep on Fighting: Dynamic Win Effects in an All-Pay Auction," Memorandum 23/2014, Oslo University, Department of Economics.

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    More about this item

    Keywords

    contest; open-loop and closed-loop equilibrium; sports leagues;
    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
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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