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Some Observations on Fort and Winfree “Nash Conjectures and Talent Supply in Sports League Modeling

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  • Stefan Szymanski

Abstract

In a recent comment, Fort and Winfree claimed to clear up some confusion about the implications of contest theory and the game theoretic approach to modeling contests, following the earlier work of Szymanski and Kesenne. Among other things they claimed to show that the invariance principle can still survive in the game theoretic interpretation. This note shows that the approach they suggest was already fully and explicitly adopted in the works cited above and that the invariance principle cannot hold for any plausible contest success function.

Suggested Citation

  • 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.
    • Handle: RePEc:sae:jospec:v:14:y:2013:i:3:p:321-326
    DOI: 10.1177/1527002512438616
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    References listed on IDEAS

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    1. 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.
    2. Paul Madden, 2010. "Gametheoretic analysis of basic team sports leagues," Economics Discussion Paper Series 1006, Economics, The University of Manchester.
    3. 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.
    4. 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.
    5. Stefan Szymanski, 2004. "Professional Team Sports Are Only a Game," Journal of Sports Economics, , vol. 5(2), pages 111-126, May.
    6. Victor Tremblay, 2009. "Introduction: Economic Issues in Sports," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 34(1), pages 1-4, February.
    7. Rodney Fort & Jason Winfree, 2009. "Sports Really are Different: The Contest Success Function and the Supply of Talent," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 34(1), pages 69-80, February.
    8. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 251-262, Springer.
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    Cited by:

    1. Masaki Fujimoto, 2020. "Equal Revenue Sharing and the Optimal Distribution of Talent in the N-Team Leagues," Journal of Sports Economics, , vol. 21(2), pages 103-114, February.
    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. Terry Robinson & Robert Simmons, 2014. "Gate-Sharing and Talent Distribution in the English Football League," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 21(3), pages 413-429, November.
    4. 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.
    5. Duane W. Rockerbie & Stephen T. Easton, 2019. "Of Bricks and Bats: New Stadiums, Talent Supply, and Team Performance in Major League Baseball," Journal of Sports Economics, , vol. 20(1), pages 3-24, January.
    6. Robert Driskill & John Vrooman, 2016. "It’s Not Over ‘til the Fat Lady Sings," Journal of Sports Economics, , vol. 17(4), pages 354-376, May.
    7. Robert Driskill & John Vrooman, 2017. "Talent Versus Payroll as Strategic Variables in Game Theoretic Models of Sports Leagues," Journal of Sports Economics, , vol. 18(6), pages 638-646, August.
    8. Paul Madden, 2017. "Comment on Driskill and Vrooman," Journal of Sports Economics, , vol. 18(3), pages 271-281, April.

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