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“Walrasian Fixed Supply Conjecture†Versus “Contest-Nash†Solutions to Sports League Models

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  • Paul Madden

Abstract

Winfree and Fort (WF) recently suggested an approach to modeling basic two-team sports leagues, which requires Nash equilibrium solutions to games where investments in (not levels of) talent are the strategic variables. I comment (a) it is crucial that talent investments are the strategic variables, reworking arguments from my earlier article; (b) with nuanced but important differences from Stefan Szymanski’s conclusions regarding WF, Walrasian fixed supply conjecture solutions and the invariance principle are unlikely to emerge from this approach but Contest-Nash solutions can; (d) the long-running debate alluded to in the title of this article may have run its course.

Suggested Citation

  • Paul Madden, 2015. "“Walrasian Fixed Supply Conjecture†Versus “Contest-Nash†Solutions to Sports League Models," Journal of Sports Economics, , vol. 16(5), pages 540-551, June.
    • Handle: RePEc:sae:jospec:v:16:y:2015:i:5:p:540-551
    DOI: 10.1177/1527002513502795
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    References listed on IDEAS

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    1. Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64(3), pages 242-242.
    2. Jason Winfree & Rodney Fort, 2013. "Reply to Szymanski’s “Some Observations on Fort and Winfree ‘Nash Conjectures and Talent Supply in Sports League Modeling: A Comment on Current Modeling Disagreements.’â€," Journal of Sports Economics, , vol. 14(3), pages 327-329, June.
    3. Stefan Késenne, 2014. "The Economic Theory of Professional Team Sports," Books, Edward Elgar Publishing, number 15211.
    4. E. Woodrow Eckard, 2006. "Comment: "Professional Team Sports Are Only a Game: The Walrasian Fixed-Supply Conjecture Model, Contest-Nash Equilibrium, and the Invariance Principle"," Journal of Sports Economics, , vol. 7(2), pages 234-239, May.
    5. Stefan Szymanski, 2010. "Teaching Competition in Professional Sports Leagues," The Journal of Economic Education, Taylor & Francis Journals, vol. 41(2), pages 150-168, March.
    6. Paul Madden, 2010. "The regulation of a large sports league," Economics Discussion Paper Series 1007, Economics, The University of Manchester.
    7. Stefan Szymanski, 2006. "Reply: "Professional Team Sports Are Only a Game: The Walrasian Fixed-Supply Conjecture Model, Contest-Nash Equilibrium, and the Invariance Principle"," Journal of Sports Economics, , vol. 7(2), pages 240-243, May.
    8. Jason Winfree & Rodney Fort, 2012. "Nash Conjectures and Talent Supply in Sports League Modeling," Journal of Sports Economics, , vol. 13(3), pages 306-313, June.
    9. 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.
    10. John Vrooman, 2007. "Theory Of The Beautiful Game: The Unification Of European Football," Scottish Journal of Political Economy, Scottish Economic Society, vol. 54(3), pages 314-354, July.
    11. Paul Madden, 2015. "Welfare Economics of “Financial Fair Play†in a Sports League With Benefactor Owners," Journal of Sports Economics, , vol. 16(2), pages 159-184, February.
    12. Rodney Fort & James Quirk, 1995. "Cross-subsidization, Incentives, and Outcomes in Professional Team Sports Leagues," Journal of Economic Literature, American Economic Association, vol. 33(3), pages 1265-1299, September.
    13. Stefan Szymanski, 2013. "Some Observations on Fort and Winfree “Nash Conjectures and Talent Supply in Sports League Modeling," Journal of Sports Economics, , vol. 14(3), pages 321-326, June.
    14. 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..
    15. Stefan Szymanski, 2004. "Professional Team Sports Are Only a Game," Journal of Sports Economics, , vol. 5(2), pages 111-126, May.
    16. Paul Madden, 2011. "Game Theoretic Analysis of Basic Team Sports Leagues," Journal of Sports Economics, , vol. 12(4), pages 407-431, August.
    17. John Vrooman, 2009. "Theory of the Perfect Game: Competitive Balance in Monopoly Sports Leagues," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 34(1), pages 5-44, February.
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    Cited by:

    1. Roberto Burguet & Jozsef Sakovics, 2016. "To the highest bidder: The market for talent in sports leagues," Edinburgh School of Economics Discussion Paper Series 275, Edinburgh School of Economics, University of Edinburgh.
    2. Roberto Burguet & József Sákovics, 2019. "Bidding For Talent In Sport," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 85-102, January.
    3. Paul Madden, 2017. "Comment on Driskill and Vrooman," Journal of Sports Economics, , vol. 18(3), pages 271-281, April.

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