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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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    1. William Chan & Pascal Courty & Li Hao, 2009. "Suspense: Dynamic Incentives in Sports Contests," Economic Journal, Royal Economic Society, vol. 119(534), pages 24-46, January.
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    4. Stefan Szymanski & Stefan KÈsenne, 2004. "Competitive balance and gate revenue sharing in team sports," Journal of Industrial Economics, Wiley Blackwell, vol. 52(1), pages 165-177, March.
    5. Tollison, Robert D, 1982. "Rent Seeking: A Survey," Kyklos, Wiley Blackwell, vol. 35(4), pages 575-602.
    6. Sonia Falconieri & Frédéric Palomino & József Sákovics, 2004. "Collective Versus Individual Sale of Television Rights in League Sports," Journal of the European Economic Association, MIT Press, vol. 2(5), pages 833-862, September.
    7. 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.
    8. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-898, December.
    9. A. M. Spence, 1981. "The Learning Curve and Competition," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 49-70, Spring.
    10. 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.
    11. Drew Fudenberg & Jean Tirole, 1983. "Learning-by-Doing and Market Performance," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 522-530, Autumn.
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    Citations

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    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, pages 1-26.
    2. 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.
    3. 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.
    4. Martin Grossmann, 2015. "Evolutionarily Stable Strategies in Sports Contests," Journal of Sports Economics, , vol. 16(1), pages 108-121, January.
    5. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    6. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
    7. 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.
    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. 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.
    10. 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.
    11. 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).
    12. 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.

    More about this item

    Keywords

    contest; open-loop and closed-loop equilibrium; sports leagues;

    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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