IDEAS home Printed from https://ideas.repec.org/a/eee/ecmode/v28y2011i1p451-458.html
   My bibliography  Save this article

The extent to which unbalanced schedules cause distortions in sports league tables

Author

Listed:
  • Lenten, Liam J.A.

Abstract

The Australian Football League (AFL) has operated its fixture on the basis of an unbalanced schedule since the league expanded from 12 to 14 teams in 1987. This system contains a number of factors (some random) determining the set of bilateral combinations of teams that play each other on an extra occasion during the course of the season, not least of all maximising attendances. While the status quo may be unavoidable to some extent (it is also a bone of contention to many fans), its implications for within-season measures of competitive balance are nonetheless obvious. This is because of the potential for biases being created in the end-of-season league table as a result of the unbalanced schedule. This paper uses a modified model to correct for this inherent bias over the seasons 1997–2008, and the results are discussed in detail. The model is also generalisable to many unbalanced schedule designs observed in professional sports leagues worldwide.

Suggested Citation

  • Lenten, Liam J.A., 2011. "The extent to which unbalanced schedules cause distortions in sports league tables," Economic Modelling, Elsevier, vol. 28(1), pages 451-458.
  • Handle: RePEc:eee:ecmode:v:28:y:2011:i:1:p:451-458
    DOI: 10.1016/j.econmod.2010.08.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0264999310001549
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econmod.2010.08.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Allen R. Sanderson & John J. Siegfried, 2003. "Thinking about Competitive Balance," Journal of Sports Economics, , vol. 4(4), pages 255-279, November.
    2. Rodney J. Paul, 2003. "Variations in NHL Attendance: The Impact of Violence, Scoring, and Regional Rivalries," American Journal of Economics and Sociology, Wiley Blackwell, vol. 62(2), pages 345-364, April.
    3. Michael R. Butler, 2002. "Interleague Play and Baseball Attendance," Journal of Sports Economics, , vol. 3(4), pages 320-334, November.
    4. Sutter, Matthias, 2006. "Endogenous versus exogenous allocation of prizes in teams--Theory and experimental evidence," Labour Economics, Elsevier, vol. 13(5), pages 519-549, October.
    5. Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64(3), pages 242-242.
    6. Howard J. Weiss, 1986. "The Bias of Schedules and Playoff Systems in Professional Sports," Management Science, INFORMS, vol. 32(6), pages 696-713, June.
    7. Liam J. A. Lenten, 2008. "Unbalanced Schedules And The Estimation Of Competitive Balance In The Scottish Premier League," Scottish Journal of Political Economy, Scottish Economic Society, vol. 55(4), pages 488-508, September.
    8. 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.
    9. Ehrenberg, Ronald G & Bognanno, Michael L, 1990. "Do Tournaments Have Incentive Effects?," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1307-1324, December.
    10. Mease D., 2003. "A Penalized Maximum Likelihood Approach for the Ranking of College Football Teams Independent of Victory Margins," The American Statistician, American Statistical Association, vol. 57, pages 241-248, November.
    11. Ross Booth, 2005. "Comparing Competitive Balance In Australian Sports Leagues, The Afl, Nbl And Nrl: Does The Afl'S Team Salary Cap And Player Draft Measure Up?," Monash Economics Working Papers 02/05, Monash University, Department of Economics.
    12. Harbring, Christine & Irlenbusch, Bernd, 2003. "An experimental study on tournament design," Labour Economics, Elsevier, vol. 10(4), pages 443-464, August.
    13. Ross Booth, 2004. "The Economics Of Achieving Competitive Balance In The Australian Football League, 1897–2004," Economic Papers, The Economic Society of Australia, vol. 23(4), pages 325-344, December.
    14. Andrew Larsen & Aju J. Fenn & Erin Leanne Spenner, 2006. "The Impact of Free Agency and the Salary Cap on Competitive Balance in the National Football League," Journal of Sports Economics, , vol. 7(4), pages 374-390, November.
    15. Ross Booth, 2005. "Comparing Competitive Balance in Australian Sports Leagues: Does a Salary Cap and Player Draft Measure Up?," Sport Management Review, Taylor & Francis Journals, vol. 8(2), pages 119-143, May.
    16. Booth, Ross, 2005. "Comparing Competitive Balance in Australian Sports Leagues: Does a Salary Cap and Player Draft Measure Up?," Sport Management Review, Elsevier, vol. 8(2), pages 119-143, September.
    17. Joshua Utt & Rodney Fort, 2002. "Pitfalls to Measuring Competitive Balance With Gini Coefficients," Journal of Sports Economics, , vol. 3(4), pages 367-373, November.
    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. Lee Scyoc & M. Kevin McGee, 2016. "Testing for competitive balance," Empirical Economics, Springer, vol. 50(3), pages 1029-1043, May.
    2. Lenten, Liam J.A. & Smith, Aaron C.T. & Boys, Noel, 2018. "Evaluating an alternative draft pick allocation policy to reduce ‘tanking’ in the Australian Football League," European Journal of Operational Research, Elsevier, vol. 267(1), pages 315-320.
    3. Kendall, Graham & Lenten, Liam J.A., 2017. "When sports rules go awry," European Journal of Operational Research, Elsevier, vol. 257(2), pages 377-394.
    4. Patrick J. Ferguson & Karim R. Lakhani, 2023. "Consuming Contests: The Effect of Outcome Uncertainty on Spectator Attendance in the Australian Football League," The Economic Record, The Economic Society of Australia, vol. 99(326), pages 410-435, September.
    5. Stephan Lenor & Liam J. A. Lenten & Jordi McKenzie, 2016. "Rivalry Effects and Unbalanced Schedule Optimisation in the Australian Football League," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 49(1), pages 43-69, August.
    6. Dorian Owen, 2014. "Measurement of competitive balance and uncertainty of outcome," Chapters, in: John Goddard & Peter Sloane (ed.), Handbook on the Economics of Professional Football, chapter 3, pages 41-59, Edward Elgar Publishing.
    7. Guironnet, Jean-Pascal, 2023. "Competitive intensity and industry performance of professional sports," Economic Modelling, Elsevier, vol. 126(C).
    8. Liam J. A. Lenten, 2015. "Measurement of Competitive Balance in Conference and Divisional Tournament Design," Journal of Sports Economics, , vol. 16(1), pages 3-25, January.
    9. Jason A. Winfree, 2020. "Rivalries, Bowl Eligibility, and Scheduling Effects in College Football," Journal of Sports Economics, , vol. 21(5), pages 477-492, June.
    10. Barry Reilly & Robert Witt, 2024. "The Effect of League Design on Club Revenues in the Scottish Premier League," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 50(1), pages 1-28, January.

    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. Fort, Rodney & Maxcy, Joel & Diehl, Mark, 2016. "Uncertainty by regulation: Rottenberg׳s invariance principle," Research in Economics, Elsevier, vol. 70(3), pages 454-467.
    2. Daniel Read & Aaron C.T. Smith & James Skinner, 2021. "A Comparative Analysis of Competitive Balance Between a Closed and an Open League in Rugby League," Journal of Sports Economics, , vol. 22(8), pages 871-892, December.
    3. Jakee, Keith & Kenneally, Martin & Mitchell, Hamish, 2010. "Asymmetries in scheduling slots and game-day revenues: An example from the Australian Football League," Sport Management Review, Elsevier, vol. 13(1), pages 50-64, February.
    4. Meletakos, Panagiotis & Chatzicharistos, Dimitrios & Apostolidis, Nikolaos & Manasis, Vasilios & Bayios, Ioannis, 2016. "Foreign players and competitive balance in Greek basketball and handball championships," Sport Management Review, Elsevier, vol. 19(4), pages 391-401.
    5. Liam J. A. Lenten, 2015. "Measurement of Competitive Balance in Conference and Divisional Tournament Design," Journal of Sports Economics, , vol. 16(1), pages 3-25, January.
    6. Brian M. Mills & Steven Salaga, 2015. "Historical Time Series Perspectives on Competitive Balance in NCAA Division I Basketball," Journal of Sports Economics, , vol. 16(6), pages 614-646, August.
    7. Stephan Lenor & Liam J. A. Lenten & Jordi McKenzie, 2016. "Rivalry Effects and Unbalanced Schedule Optimisation in the Australian Football League," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 49(1), pages 43-69, August.
    8. Ross Booth, 2009. "Sports Economics," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 42(3), pages 377-385, September.
    9. Dorian Owen, 2014. "Measurement of competitive balance and uncertainty of outcome," Chapters, in: John Goddard & Peter Sloane (ed.), Handbook on the Economics of Professional Football, chapter 3, pages 41-59, Edward Elgar Publishing.
    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 & Markus Lang & Alexander Rathke, 2010. "Organizational Differences between U.S. Major Leagues and European Leagues: Implications for Salary Caps," Working Papers 0035, University of Zurich, Center for Research in Sports Administration (CRSA).
    12. 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).
    13. Brian Mills & Rodney Fort, 2014. "League-Level Attendance And Outcome Uncertainty In U.S. Pro Sports Leagues," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 205-218, January.
    14. Liam J. A. Lenten, 2008. "Unbalanced Schedules And The Estimation Of Competitive Balance In The Scottish Premier League," Scottish Journal of Political Economy, Scottish Economic Society, vol. 55(4), pages 488-508, September.
    15. Antonio Avila-Cano & Amparo Ruiz-Sepulveda & Francisco Triguero-Ruiz, 2021. "Identifying the Maximum Concentration of Results in Bilateral Sports Competitions," Mathematics, MDPI, vol. 9(11), pages 1-19, June.
    16. V. Masson & N. Sim & L. Wedding, 2014. "Did the AFL equalization policy achieve the evenness of the league?," Applied Economics, Taylor & Francis Journals, vol. 46(35), pages 4334-4344, December.
    17. Dorian Owen & Caitlin Owen, 2017. "Simulation Evidence on Herfindahl-Hirschman Indices as Measures of Competitive Balance," Working Papers 1715, University of Otago, Department of Economics, revised Dec 2017.
    18. Avila-Cano, Antonio & Owen, P. Dorian & Triguero-Ruiz, Francisco, 2023. "Measuring competitive balance in sports leagues that award bonus points, with an application to rugby union," European Journal of Operational Research, Elsevier, vol. 309(2), pages 939-952.
    19. Paolo Di Betta & Carlo Amenta, 2010. "A die-hard aristocracy: competitive balance in Italian soccer, 1929-2009," Rivista di Diritto ed Economia dello Sport, Centro di diritto e business dello Sport, vol. 6(2), pages 13-40, Settembre.
    20. Raul Caruso & Ilaria Verri, 2009. "Competitive Balance dopo la sentenza Bosman: il caso della pallavolo in Italia," Rivista di Diritto ed Economia dello Sport, Centro di diritto e business dello Sport, vol. 5(1), pages 59-79, Maggio.

    More about this item

    Keywords

    Competitive balance; Measurement methods;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism

    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:eee:ecmode:v:28:y:2011:i:1:p:451-458. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/30411 .

    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.