IDEAS home Printed from https://ideas.repec.org/p/iso/wpaper/0069.html
   My bibliography  Save this paper

Investment Behaviour in a Two Period 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)

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
    as

    Download full text from publisher

    File URL: http://repec.business.uzh.ch/RePEc/iso/ISU_WPS/69_ISU_full.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Reinganum, Jennifer F., 1981. "Dynamic games of innovation," Journal of Economic Theory, Elsevier, vol. 25(1), pages 21-41, August.
    2. Robert D. Tollison, 1982. "Rent Seeking: A Survey," Kyklos, Wiley Blackwell, vol. 35(4), pages 575-602, November.
    3. 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.
    4. 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.
    5. A. M. Spence, 1981. "The Learning Curve and Competition," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 49-70, Spring.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    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.
    12. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-898, December.
    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. 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.
    3. 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.
    4. 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.
    5. Martin Grossmann, 2015. "Evolutionarily Stable Strategies in Sports Contests," Journal of Sports Economics, , vol. 16(1), pages 108-121, January.
    6. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    7. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
    8. 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.
    9. Martin Grossmann, 2011. "Endogenous Liquidity Constraints in a Dynamic Contest," Working Papers 0148, University of Zurich, Institute for Strategy and Business Economics (ISU).
    10. 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.
    11. 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.
    12. Grossmann, Martin & Hottiger, Dieter, 2020. "Liquidity constraints and the formation of unbalanced contests," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    13. 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.
    14. 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).
    15. 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).
    16. 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.
    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.

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    6. Eberhard Feess & Frank Stähler, 2009. "Revenue Sharing In Professional Sports Leagues," Scottish Journal of Political Economy, Scottish Economic Society, vol. 56(2), pages 255-265, May.
    7. 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.
    8. Dietl Helmut M & Duschl Tobias & Lang Markus, 2011. "Executive Pay Regulation: What Regulators, Shareholders, and Managers Can Learn from Major Sports Leagues," Business and Politics, De Gruyter, vol. 13(2), pages 1-32, August.
    9. Stefan Szymanski, 2010. "Teaching Competition in Professional Sports Leagues," The Journal of Economic Education, Taylor & Francis Journals, vol. 41(2), pages 150-168, March.
    10. Rodney Fort & James Quirk, 2010. "Optimal Competitive Balance in Single-Game Ticket Sports Leagues," Journal of Sports Economics, , vol. 11(6), pages 587-601, December.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Stefan Kesenne, 2007. "Revenue Sharing and Owner Profits in Professional Team Sports," Journal of Sports Economics, , vol. 8(5), pages 519-529, October.
    16. Stefan Szymanski, 2004. "Professional Team Sports Are Only a Game," Journal of Sports Economics, , vol. 5(2), pages 111-126, May.
    17. 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.
    18. Budzinski, Oliver, 2017. "Market-internal financial regulation in sports as an anticompetitive institution," Ilmenau Economics Discussion Papers 110, Ilmenau University of Technology, Institute of Economics.
    19. Paul Madden, 2011. "Game Theoretic Analysis of Basic Team Sports Leagues," Journal of Sports Economics, , vol. 12(4), pages 407-431, August.
    20. William A. Hamlen Jr., 2007. "Deviations From Equity and Parity in the National Football League," Journal of Sports Economics, , vol. 8(6), pages 596-615, December.

    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

    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:iso:wpaper:0069. 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: IBW IT (email available below). General contact details of provider: https://edirc.repec.org/data/isuzhch.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.