IDEAS home Printed from https://ideas.repec.org/a/sae/jospec/v12y2011i3p309-316.html
   My bibliography  Save this article

A Nash Bargaining Model of the Salaries of Elite Free Agents

Author

Listed:
  • John L. Solow

    (Department of Economics, University of Iowa, Iowa City, IA, USA, john-solow@uiowa.edu)

  • Anthony C. Krautmann

    (Department of Economics, DePaul University, Chicago, IL, USA)

Abstract

In this paper, we focus on how rents are divided between an elite free agent and a team in a Nash bargaining framework. In order to find the Nash bargaining solution, we identify the threat points of the player and the team as the best alternative bargains that the player and the team could reach with another team and another player, respectively. We then extend the analysis to include a consideration of multiple teams potentially bidding for the free agent’s services. In this section of the paper, we show that the player’s ultimate location and salary are determined by his marginal value over his replacement.

Suggested Citation

  • John L. Solow & Anthony C. Krautmann, 2011. "A Nash Bargaining Model of the Salaries of Elite Free Agents," Journal of Sports Economics, , vol. 12(3), pages 309-316, June.
    • Handle: RePEc:sae:jospec:v:12:y:2011:i:3:p:309-316
    DOI: 10.1177/1527002511404781
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/1527002511404781
    Download Restriction: no
    File URL: https://libkey.io/10.1177/1527002511404781?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
    ---><---

    References listed on IDEAS

    as
    1. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    2. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    3. Rochford, Sharon C., 1984. "Symmetrically pairwise-bargained allocations in an assignment market," Journal of Economic Theory, Elsevier, vol. 34(2), pages 262-281, December.
    4. 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.
    5. 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.
    6. 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..
    7. McLaughlin, Kenneth J, 1994. "Rent Sharing in an Equilibrium Model of Matching and Turnover," Journal of Labor Economics, University of Chicago Press, vol. 12(4), pages 499-523, October.
    8. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    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. Rodney Fort & Young Hoon Lee & Taeyeon Oh, 2019. "Quantile Insights on Market Structure and Worker Salaries: The Case of Major League Baseball," Journal of Sports Economics, , vol. 20(8), pages 1066-1087, December.
    2. Anthony C. Krautmann, 2013. "What Is Right With Scully Estimates of a Player’s Marginal Revenue Product," Journal of Sports Economics, , vol. 14(1), pages 97-105, February.
    3. Alex Bryson & Giambattista Rossi & Rob Simmons, 2012. "Why Are Migrants Paid More?," CEP Discussion Papers dp1134, Centre for Economic Performance, LSE.
    4. Alex Bryson & Giambattista Rossi & Rob Simmons, 2014. "The Migrant Wage Premium in Professional Football: A Superstar Effect?," Kyklos, Wiley Blackwell, vol. 67(1), pages 12-28, February.
    5. Paul Madden, 2018. "Collective Bargaining in a Basic North American Sports League Model," Economics Discussion Paper Series 1812, Economics, The University of Manchester.
    6. Paul Madden, 2019. "Collective Bargaining in a Basic North American Sports League Model With Broadcasting Revenue," Journal of Sports Economics, , vol. 20(8), pages 1088-1118, December.
    7. Anthony C. Krautmann, 2017. "Risk-Averse Team Owners and Players’ Salaries in Major League Baseball," Journal of Sports Economics, , vol. 18(1), pages 19-33, January.
    8. Stephen J. K. Walters & Peter Allmen & Anthony Krautmann, 2017. "Risk Aversion and Wages: Evidence from the Baseball Labor Market," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 45(3), pages 385-397, September.
    9. Alex Bryson & Giambattista Rossi & Rob Simmons, 2012. "Why Are Migrants Paid More?," CEP Discussion Papers dp1134, Centre for Economic Performance, LSE.
    10. James Alm & William H. Kaempfer & Edward Batte Sennoga, 2012. "Baseball Salaries and Income Taxes," Journal of Sports Economics, , vol. 13(6), pages 619-634, December.
    11. Yuyu Li & Bo Huang & Fengming Tao, 2016. "Pricing Mechanism Design for Centralized Pollutant Treatment with SME Alliances," IJERPH, MDPI, vol. 13(6), pages 1-13, June.
    12. John L. Solow & Anthony C. Krautmann, 2020. "Do You Get What You Pay for? Salary and Ex Ante Player Value in Major League Baseball," Journal of Sports Economics, , vol. 21(7), pages 705-722, October.

    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. Martin Grossmann & Helmut Dietl & Markus Lang, 2010. "Revenue Sharing and Competitive Balance in a Dynamic Contest Model," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 36(1), pages 17-36, February.
    2. 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.
    3. Carlo Bellavite Pellegrini & Raul Caruso & Marco Di Domizio, 2021. "Relative wages, payroll structure and performance in soccer. Evidence from Italian Serie A (2007-2019)," DISCE - Quaderni del Dipartimento di Politica Economica dipe0015, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    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. Jean‐Pascal Gayant & Nicolas Le Pape, 2017. "Increasing Downside or Outer Risk? The Challenge of Measuring Competitive Imbalance in Closed and Open Leagues," Southern Economic Journal, John Wiley & Sons, vol. 83(3), pages 774-795, January.
    6. Helmut M. Dietl & Martin Grossmann & Markus Lang, 2011. "Competitive Balance and Revenue Sharing in Sports Leagues With Utility-Maximizing Teams," Journal of Sports Economics, , vol. 12(3), pages 284-308, June.
    7. Yang-Ming Chang & Shane Sanders, 2009. "Pool Revenue Sharing, Team Investments, and Competitive Balance in Professional Sports A Theoretical Analysis," Journal of Sports Economics, , vol. 10(4), pages 409-428, August.
    8. Eberhard Feess & Frank Stähler, 2009. "Revenue Sharing In Professional Sports Leagues," Scottish Journal of Political Economy, Scottish Economic Society, vol. 56(2), pages 255-265, May.
    9. Steven Salaga & Alan Ostfield & Jason Winfree, 2014. "Revenue Sharing with Heterogeneous Investments in Sports Leagues: Share Media, Not Stadiums," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 45(1), pages 1-19, August.
    10. 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.
    11. Raul Caruso & Marco Di Domizio & Domenico Rossignoli, 2017. "Aggregate wages of players and performance in Italian Serie A," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 34(3), pages 515-531, December.
    12. Sébastien Dessus & Gaël Raballand, 2011. "L'Etat peut-il rendre compétitif les clubs de football français," Documents de travail du Centre d'Economie de la Sorbonne 11048, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    13. Marco Di Domizio & Carlo Bellavite Pellegrini & Raul Caruso, 2022. "Payroll dispersion and performance in soccer: A seasonal perspective analysis for Italian Serie A (2007–2021)," Contemporary Economic Policy, Western Economic Association International, vol. 40(3), pages 513-525, July.
    14. Wladimir Andreff, 2011. "Some comparative economics of the organization of sports: Competition and regulation in north American vs. European professional team sports leagues," Post-Print halshs-00677436, HAL.
    15. 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, July.
    16. 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, April.
    17. Budzinski, Oliver, 2017. "Market-internal financial regulation in sports as an anticompetitive institution," Ilmenau Economics Discussion Papers 110, Ilmenau University of Technology, Institute of Economics.
    18. Thomas Peeters, 2011. "Optimal gate revenue sharing in sports leagues," Working Papers 1122, International Association of Sports Economists;North American Association of Sports Economists.
    19. Dietl, Helmut M. & Duschl, Tobias & Lang, Markus, 2011. "Executive Pay Regulation: What Regulators, Shareholders, and Managers Can Learn from Major Sports Leagues," Business and Politics, Cambridge University Press, vol. 13(2), pages 1-30, August.
    20. Caruso, Raul & Carlo, Bellavite Pellegrini & Marco, Di Domizio, 2016. "Does diversity in the payroll affect soccer teams’ performance? Evidence from the Italian Serie A," MPRA Paper 75644, University Library of Munich, Germany.

    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:sae:jospec:v:12:y:2011:i:3:p:309-316. 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: SAGE Publications (email available below). General contact details of provider: .

    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.