Contest Theory and its Applications in Sports
Abstract
This paper outlines how the theory of contests is applied to professional team sports leagues. In the first part, we present the traditional Tullock contest and explain some basic properties of the equilibrium. We will then extend this static contest to a two-period model in order to analyze dynamic aspects of contests. In the second part, we will present applications of contest theory in sports. In particular, we will show how the Tullock framework is applied to models of team sports leagues. For this purpose, we will first explain the value creation process in team sports leagues and show how club revenues are related to the contest success function. Then, we present some basic modeling issues; for instance, we show how the assumption of flexible vs. fixed talent supply depends on the league under consideration and how it influences the equilibria. Furthermore, we explicate the effect of revenue sharing on competitive balance in the different models. Then we address the relationship between competitive balance and social welfare. Finally, we illustrate why many clubs tend to "overinvest" in playing talent in many team sports leagues.Download Info
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Paper provided by University of Zurich, Center for Research in Sports Administration (CRSA) in its series Working Papers with number 0029.Length: 30 pages
Date of creation: Aug 2009
Date of revision:
Handle: RePEc:rsd:wpaper:0029
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Keywords: Contest theory; Tullock contest; sports leagues; competitive balance; revenue sharing; social welfare; overinvestment;Other versions of this item:
- Helmut Dietl & Egon Franck & Martin Grossmann & Markus Lang, 2009. "Contest Theory and its Applications in Sports," Working Papers 0913, International Association of Sports Economists & North American Association of Sports Economists, revised Mar 2011.
- 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).
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Recreation; Tourism
References
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- 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, 09.
- Dietl, Helmut M. & Franck, Egon & Hasan, Tariq & Lang, Markus, 2009.
"Governance of professional sports leagues--Cooperatives versus contracts,"
International Review of Law and Economics,
Elsevier, vol. 29(2), pages 127-137, June.
- Helmut Dietl & Egon Franck & Tariq Hasan & Markus Lang, 2006. "Governance of Professional Sports Leagues - Cooperatives versus Contracts," Working Papers 0059, University of Zurich, Institute for Strategy and Business Economics (ISU), revised 2007.
- Helmut Dietl & Egon Franck & Tariq Hasan & Markus Lang, 2006. "Governance of Professional Sports Leagues - Cooperatives versus Contracts," Working Papers 0011, University of Zurich, Center for Research in Sports Administration (CRSA), revised 2007.
- 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 841-64, October.
- Edward P. Lazear & Sherwin Rosen, 1979. "Rank-Order Tournaments as Optimum Labor Contracts," NBER Working Papers 0401, National Bureau of Economic Research, Inc.
- 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.
- Chung, Tai-Yeong, 1996. " Rent-Seeking Contest When the Prize Increases with Aggregate Efforts," Public Choice, Springer, vol. 87(1-2), pages 55-66, April.
- Baye, M.R. & Kovenock D. & De Vries, C.G., 2000.
"Comparative Analysis of Litigation Systems: an Auction-Theoretic Approach,"
Purdue University Economics Working Papers
1137, Purdue University, Department of Economics.
- Michael R. Baye & Dan Kovenock & Casper G. Vries, 2005. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Economic Journal, Royal Economic Society, vol. 115(505), pages 583-601, 07.
- Michael R. Baye & Dan Kovenock & Casper De Vries, 2000. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," CESifo Working Paper Series 373, CESifo Group Munich.
- Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2004. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Working Papers 2004-24, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
- Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2000. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," CIG Working Papers FS IV 00-13, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
- Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2000. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Tinbergen Institute Discussion Papers 00-103/2, Tinbergen Institute.
- Orszag, Jonathan M., 1994. "A new look at incentive effects and golf tournaments," Economics Letters, Elsevier, vol. 46(1), pages 77-88, September.
- Konrad, Kai A., 2007. "Strategy in contests: an introduction," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, Social Science Research Center Berlin (WZB).
- Wärneryd, Karl, 1996.
"In Defense of Lawyers. Moral Hazard as an Aid to Cooperation,"
Working Paper Series in Economics and Finance
126, Stockholm School of Economics.
- Warneryd, Karl, 2000. "In Defense of Lawyers: Moral Hazard as an Aid to Cooperation," Games and Economic Behavior, Elsevier, vol. 33(1), pages 145-158, October.
- 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, 07.
- Helmut Dietl & Markus Lang, 2006. "The Effect of Gate Revenue-Sharing on Social Welfare," Working Papers 0012, University of Zurich, Center for Research in Sports Administration (CRSA), revised 2007.
- Helmut Dietl & Markus Lang, 2006. "The Effect of Gate Revenue-Sharing on Social Welfare," Working Papers 0060, University of Zurich, Institute for Strategy and Business Economics (ISU), revised 2007.
- Baye, M. & Kovenock, D. & Vries, C. de, 1990.
"The All-Pay Auction with Complete Information,"
Discussion Paper
1990-51, Tilburg University, Center for Economic Research.
- Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer, vol. 8(2), pages 291-305.
- Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
- Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Baye, M.R. & Kovenock, D. & De Vries, C., 1992. "The All-Pay Auction with Complete Information," Papers 8-92-1, Pennsylvania State - Department of Economics.
- Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "The All-Pay Auction With Complete Information," Purdue University Economics Working Papers 1007, Purdue University, Department of Economics.
- 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.
- 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).
- Stefan Szymanski, 2003. "The Economic Design of Sporting Contests," Journal of Economic Literature, American Economic Association, vol. 41(4), pages 1137-1187, December.
- Sherwin Rosen, 1985.
"Prizes and Incentives in Elimination Tournaments,"
NBER Working Papers
1668, National Bureau of Economic Research, Inc.
- Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-15, September.
- Helmut Dietl & Markus Lang & Stephan Werner, 2008.
"Social Welfare in Sports Leagues with Profit-Maximizing and/or Win-Maximizing Clubs,"
Working Papers
0826, International Association of Sports Economists & North American Association of Sports Economists.
- Helmut M. Dietl & Markus Lang & Stephan Werner, 2009. "Social Welfare in Sports Leagues with Profit-Maximizing and/or Win-Maximizing Clubs," Southern Economic Journal, Southern Economic Association, vol. 76(2), pages 375-396, October.
- Helmut Dietl & Markus Lang & Stephan Werner, 2008. "Social Welfare in Sports Leagues with Profit-Maximizing and/or Win-Maximizing Clubs," Working Papers 0022, University of Zurich, Center for Research in Sports Administration (CRSA), revised Jul 2009.
- Helmut Dietl & Markus Lang & Stephan Werner, 2008. "Social Welfare in Sports Leagues with Profit-Maximizing and/or Win-Maximizing Clubs," Working Papers 0090, University of Zurich, Institute for Strategy and Business Economics (ISU), revised Jul 2009.
- Schmalensee, Richard, 1976. "A Model of Promotional Competition in Oligopoly," Review of Economic Studies, Wiley Blackwell, vol. 43(3), pages 493-507, October.
- Benny Moldovanu & Aner Sela, 2001.
"The Optimal Allocation of Prizes in Contests,"
American Economic Review,
American Economic Association, vol. 91(3), pages 542-558, June.
- Moldovanu, Benny & Sela, Aner, 1999. "The Optimal Allocation of Prizes in Contests," Sonderforschungsbereich 504 Publications 99-75, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
- Martin Grossmann & Helmut Dietl & Markus Lang, 2007.
"Revenue Sharing and Competitive Balance in a Dynamic Contest Model,"
Working Papers
0070, University of Zurich, Institute for Strategy and Business Economics (ISU), revised May 2009.
- Martin Grossmann & Helmut Dietl & Markus Lang, 2010. "Revenue Sharing and Competitive Balance in a Dynamic Contest Model," Review of Industrial Organization, Springer, vol. 36(1), pages 17-36, February.
- 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.
- Martin Grossmann & Helmut Dietl & Markus Lang, 2007. "Revenue Sharing and Competitive Balance in a Dynamic Contest Model," Working Papers 0015, University of Zurich, Center for Research in Sports Administration (CRSA), revised May 2009.
- Michael T. Maloney & Kristina Terkun, 2002. "Road Warrior Booty: Prize Structures in Motorcycle Racing," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 0(1), pages 3.
- Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414.
- Szymanski, Stefan & Valletti, Tommaso M., 2005. "Incentive effects of second prizes," European Journal of Political Economy, Elsevier, vol. 21(2), pages 467-481, June.
- Jeffery Borland, 2003. "Demand for Sport," Oxford Review of Economic Policy, Oxford University Press, vol. 19(4), pages 478-502, Winter.
- 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, 04.
- Helmut Dietl & Markus Lang & Alexander Rathke, 2009. "The Combined Effect of Salary Restrictions and Revenue Sharing in Sports Leagues," Working Papers 0027, University of Zurich, Center for Research in Sports Administration (CRSA), revised Jan 2010.
- Helmut Dietl & Markus Lang & Alexander Rathke, 2009. "The Combined Effect of Salary Restrictions and Revenue Sharing in Sports Leagues," Working Papers 0102, University of Zurich, Institute for Strategy and Business Economics (ISU), revised Jan 2010.
- Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer, vol. 11(1), pages 201-204.
- Skaperdas, Stergios, 1996.
"Contest Success Functions,"
Economic Theory,
Springer, vol. 7(2), pages 283-90, February.
- Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer, vol. 7(2), pages 283-290.
- Ronald G. Ehrenberg & Michael L. Bognanno, 1990. "The incentive effects of tournaments revisited: Evidence from the European PGA tour," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 43(3), pages 74-88, February.
- 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 1302-19, Nov.-Dec..
- Sue Fernie & David Metcalf, 1999. "It's Not What You Pay it's the Way that You Pay it and that's What Gets Results: Jockeys' Pay and Performance," LABOUR, CEIS, vol. 13(2), pages 385-411, 06.
- Sloane, Peter J, 1971. "The Economics of Professional Football: The Football Club as a Utility Maximiser," Scottish Journal of Political Economy, Scottish Economic Society, vol. 18(2), pages 121-46, June.
- repec:sae:jospec:v:1:y:2000:i:4:p:323-340 is not listed on IDEAS
- Farmer, Amy & Pecorino, Paul, 1999. " Legal Expenditure as a Rent-Seeking Game," Public Choice, Springer, vol. 100(3-4), pages 271-88, September.
- Amihai Glazer & Mark Gradstein, 2005. "Elections with contribution-maximizing candidates," Public Choice, Springer, vol. 122(3), pages 467-482, March.
- Stefan Szymanski, 2000. "The Market for Olympic Gold Medals," World Economics, World Economics, Economic & Financial Publishing, PO Box 69, Henley-on-Thames, Oxfordshire, United Kingdom, RG9 1GB, vol. 1(4), pages 207-214, October.
- Scully, Gerald W, 2000. "Diminishing Returns and the Limit of Athletic Performance," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(4), pages 456-70, September.
- 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.
- Helmut Dietl & Egon Franck & Markus Lang, 2006.
"Why football players may benefit from the "shadow of the transfer system","
Working Papers
0062, University of Zurich, Institute for Strategy and Business Economics (ISU), revised 2007.
- Helmut Dietl & Egon Franck & Markus Lang, 2008. "Why football players may benefit from the ‘shadow of the transfer system’," European Journal of Law and Economics, Springer, vol. 26(2), pages 129-151, October.
- Helmut Dietl & Egon Franck & Markus Lang, 2008. "Why football players may benefit from the ‘shadow of the transfer system’," European Journal of Law and Economics, Springer, vol. 26(3), pages 419-419, December.
- Helmut Dietl & Egon Franck & Markus Lang, 2006. "Why football players may benefit from the "shadow of the transfer system"," Working Papers 0013, University of Zurich, Center for Research in Sports Administration (CRSA), revised 2007.
- Nti, Kofi O, 1999. " Rent-Seeking with Asymmetric Valuations," Public Choice, Springer, vol. 98(3-4), pages 415-30, March.
- Ronald G. Ehrenberg & Michael L. Bognanno, 1988.
"Do Tournaments Have Incentive Effects?,"
NBER Working Papers
2638, National Bureau of Economic Research, Inc.
- Ehrenberg, Ronald G & Bognanno, Michael L, 1990. "Do Tournaments Have Incentive Effects?," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1307-24, December.
- repec:sae:jospec:v:1:y:2000:i:2:p:99-123 is not listed on IDEAS
- Shaw, W. Douglass & Jakus, Paul M., 1996. "Travel Cost Models Of The Demand For Rock Climbing," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 25(2), October.
- repec:sae:jospec:v:3:y:2002:i:2:p:204-228 is not listed on IDEAS
- Claudio A. Piga, 1998. "A Dynamic Model of Advertising and Product Differentiation," Review of Industrial Organization, Springer, vol. 13(5), pages 509-522, October.
- Késenne Stefan & Szymanski S., 2003.
"Competitive balance and gate revenue sharing in team sports,"
Working Papers
2003003, University of Antwerp, Faculty of Applied Economics.
- 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, 03.
- Oliver Gürtler, 2007. "A Rationale for the Coexistence of Central and Decentral Marketing in Team Sports," German Economic Review, Verein für Socialpolitik, vol. 8, pages 89-106, 02.
- Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64, pages 242.
- Allen R. Sanderson & John J. Siegfried, 2003. "Thinking About Competitive Balance," Vanderbilt University Department of Economics Working Papers 0318, Vanderbilt University Department of Economics.
- Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-98, December.
- 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, 07.
- Helmut Dietl & Egon Franck & Markus Lang, 2005. "Overinvestment in Team Sports Leagues: A Contest Theory Model," Working Papers 0038, University of Zurich, Institute for Strategy and Business Economics (ISU), revised 2007.
- Helmut Dietl & Egon Franck & Markus Lang, 2005. "Overinvestment in Team Sports Leagues: A Contest Theory Model," Working Papers 0002, University of Zurich, Center for Research in Sports Administration (CRSA), revised 2007.
- Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-90, September.
- Glenn C. Loury, 1976.
"Market Structure and Innovation,"
Discussion Papers
256, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Loury, Glenn C, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, MIT Press, vol. 93(3), pages 395-410, August.
- Helmut M. Dietl & Markus Lang & Alexander Rathke, 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 17.
- Helmut Dietl & Markus Lang & Alexander Rathke, 2007. "The Effect of Salary Caps in Professional Team Sports on Social Welfare," Working Papers 0072, University of Zurich, Institute for Strategy and Business Economics (ISU).
- Helmut Dietl & Markus Lang & Alexander Rathke, 2007. "The Effect of Salary Caps in Professional Team Sports on Social Welfare," Working Papers 0016, University of Zurich, Center for Research in Sports Administration (CRSA).
- repec:sae:jospec:v:1:y:2000:i:4:p:363-384 is not listed on IDEAS
- Bognanno, Michael L, 2001. "Corporate Tournaments," Journal of Labor Economics, University of Chicago Press, vol. 19(2), pages 290-315, April.
- Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
- Thomas Hoehn & Stefan Szymanski, 1999. "The Americanization of European football," Economic Policy, CEPR & CES & MSH, vol. 14(28), pages 203-240, 04.
- Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
- 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, 07.
- Pedro Garcia-del-Barrio & Stefan Szymanski, 2006. "Goal! Profit maximization and win maximization in football leagues," Working Papers 0621, International Association of Sports Economists & North American Association of Sports Economists.
- repec:sae:jospec:v:1:y:2000:i:1:p:56-65 is not listed on IDEAS
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Michela Pierini, 2011. "Diritti Tv E Competitive Balance Nel Calcio Professionistico Italiano," Rivista di Diritto ed Economia dello Sport, Centro di diritto e business dello Sport, vol. 7(2), pages 87-113, September.
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