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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, 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 & József Sákovics, 2019. "Bidding For Talent In Sport," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 85-102, January.
    2. 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.
    3. Paul Madden, 2017. "Comment on Driskill and Vrooman," Journal of Sports Economics, , vol. 18(3), pages 271-281, April.

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