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Losing money to make money: The benefits of redistribution in collective bargaining in sports

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  • Vohra, Akhil

Abstract

I develop a model of majority-rule collective bargaining between a sports league and its players when delay costs incurred by players are wealth-dependent. I propose a refinement of subgame perfect equilibrium that requires equilibrium strategies to be immune to deviations by any majority subgroup. I show this is equivalent to giving the player with median bargaining power the unilateral ability to negotiate with the league. Using this model, I demonstrate that policies reallocating surplus from high-talent to moderate-talent players, such as maximum contracts in professional sports, can improve the welfare of all players. Redistribution of surplus harmonizes players' interests, giving a majority of them a greater stake in the bargaining outcome. The model highlights the gains to be had if a heterogeneous group agrees to concessions that increase the alignment of their individual interests.

Suggested Citation

  • Vohra, Akhil, 2023. "Losing money to make money: The benefits of redistribution in collective bargaining in sports," Games and Economic Behavior, Elsevier, vol. 142(C), pages 226-242.
    • Handle: RePEc:eee:gamebe:v:142:y:2023:i:c:p:226-242
    DOI: 10.1016/j.geb.2023.08.006
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    3. David Card & Raj Chetty & Andrea Weber, 2007. "Cash-on-Hand and Competing Models of Intertemporal Behavior: New Evidence from the Labor Market," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(4), pages 1511-1560.
    4. Eraslan, Hulya & Evdokimov, Kirill S., 2019. "Legislative and Multilateral Bargaining," Working Papers 19-007, Rice University, Department of Economics.
    5. Thomas Romer & Howard Rosenthal, 1978. "Political resource allocation, controlled agendas, and the status quo," Public Choice, Springer, vol. 33(4), pages 27-43, December.
    6. Roberto Burguet & József Sákovics, 2019. "Bidding For Talent In Sport," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 85-102, January.
    7. Manzini, Paola & Mariotti, Marco, 2005. "Alliances and negotiations," Journal of Economic Theory, Elsevier, vol. 121(1), pages 128-141, March.
    8. Dietl Helmut M & Lang Markus & Rathke Alexander, 2009. "The Effect of Salary Caps in Professional Team Sports on Social Welfare," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-23, April.
    9. Darrell Duffie & Yeneng Sun, 2004. "The Exact Law of Large Numbers for Independent Random Matching," Levine's Bibliography 122247000000000328, UCLA Department of Economics.
    10. McDonald, Ian M & Solow, Robert M, 1981. "Wage Bargaining and Employment," American Economic Review, American Economic Association, vol. 71(5), pages 896-908, December.
    11. Muthoo, Abhinay, 2004. "A model of the origins of basic property rights," Games and Economic Behavior, Elsevier, vol. 49(2), pages 288-312, November.
    12. Haller, Hans & Holden, Steinar, 1997. "Ratification Requirement and Bargaining Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 825-851, November.
    13. Sebastian Schweighofer†Kodritsch, 2018. "Time Preferences and Bargaining," Econometrica, Econometric Society, vol. 86(1), pages 173-217, January.
    14. Feiveson, Laura, 2015. "General revenue sharing and public sector unions," Journal of Public Economics, Elsevier, vol. 125(C), pages 28-45.
    15. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-252, March.
    16. 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.
    17. Steven Callander & Gregory J. Martin, 2017. "Dynamic Policymaking with Decay," American Journal of Political Science, John Wiley & Sons, vol. 61(1), pages 50-67, January.
    18. Olivier Compte & Philippe Jehiel, 2010. "Bargaining and Majority Rules: A Collective Search Perspective," Journal of Political Economy, University of Chicago Press, vol. 118(2), pages 189-221, April.
    19. Grossman, Sanford J & Hart, Oliver D, 1986. "The Costs and Benefits of Ownership: A Theory of Vertical and Lateral Integration," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 691-719, August.
    20. Jeffrey Banks & John Duggan, 2006. "A Social Choice Lemma on Voting Over Lotteries with Applications to a Class of Dynamic Games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 285-304, April.
    21. Mortensen, Dale & Pissarides, Christopher, 2011. "Job Creation and Job Destruction in the Theory of Unemployment," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 1-19.
    22. Card, David, 1990. "Strikes and Bargaining: A Survey of the Recent Empirical Literature," American Economic Review, American Economic Association, vol. 80(2), pages 410-415, May.
    23. 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.
    24. Hülya Eraslan & Kirill S. Evdokimov, 2019. "Legislative and Multilateral Bargaining," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 443-472, August.
    25. John Duggan, 2014. "Majority Voting Over Lotteries: Conditions for Existence of a Decisive Voter," Economics Bulletin, AccessEcon, vol. 34(1), pages 263-270.
    26. Schweighofer-Kodritsch, Sebastian, 2018. "Time Preferences and Bargaining," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 86(1), pages 173-217.
    27. Alvaro Sandroni & Can Urgun, 2018. "When to Confront: The Role of Patience," American Economic Journal: Microeconomics, American Economic Association, vol. 10(3), pages 219-252, August.
    28. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    29. Morgan Hardy & Gisella Kagy & Lena Song, 2022. "Gotta Have Money to Make Money? Bargaining Behavior and Financial Need of Microentrepreneurs," American Economic Review: Insights, American Economic Association, vol. 4(1), pages 1-17, March.
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    More about this item

    Keywords

    Majority-rule bargaining; Collective bargaining; Negotiation; Unions;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • J5 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining
    • Z22 - Other Special Topics - - Sports Economics - - - Labor Issues

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