IDEAS home Printed from https://ideas.repec.org/p/rdg/emxxdp/em-dp2022-07.html
   My bibliography  Save this paper

The Age-Wage-Productivity Puzzle: Evidence from the Careers of Top Earners

Author

Listed:
  • Rachel Scarfe

    (School of Economics, University of Edinburgh)

  • Carl Singleton

    (Department of Economics, University of Reading)

  • Adesola Sunmoni

    (Department of Economics, University of Reading)

  • Paul Telemo

    (School of Economics, University of Edinburgh)

Abstract

There is an inverted u-shaped relationship between age and wages in most labour markets and occupations, but the effects of age on productivity are often unclear. We use panel data on productivity and salaries in a market of high earners, professional footballers (soccer players) in North America, to estimate age-productivity and age-wage profiles. We find stark differences between these profiles; wages continue to increase for several years after productivity has peaked, before dropping sharply at the end of a career. This discrepancy poses the question: why are middle-aged workers seemingly overpaid relative to their contemporaneous productivity? The richness of our dataset allows us to investigate a range of possible mechanisms that could be responsible, including institutional factors, unobserved elements of productivity, and a talent discovery theory, by which teams pay younger players less because their productivity is more uncertain. We find some evidence that tentatively supports this last mechanism.

Suggested Citation

  • Rachel Scarfe & Carl Singleton & Adesola Sunmoni & Paul Telemo, 2022. "The Age-Wage-Productivity Puzzle: Evidence from the Careers of Top Earners," Economics Discussion Papers em-dp2022-07, Department of Economics, University of Reading, revised 30 May 2023.
  • Handle: RePEc:rdg:emxxdp:em-dp2022-07
    as

    Download full text from publisher

    File URL: https://research.reading.ac.uk/economics/wp-content/uploads/sites/87/2022/09/emdp202207.pdf
    File Function: Revised version, 2023
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. David Card & Ana Rute Cardoso & Joerg Heining & Patrick Kline, 2018. "Firms and Labor Market Inequality: Evidence and Some Theory," Journal of Labor Economics, University of Chicago Press, vol. 36(S1), pages 13-70.
    2. Castellucci, Fabrizio & Padula, Mario & Pica, Giovanni, 2011. "The age-productivity gradient: Evidence from a sample of F1 drivers," Labour Economics, Elsevier, vol. 18(4), pages 464-473, August.
    3. Principe, Francesco & van Ours, Jan C., 2022. "Racial bias in newspaper ratings of professional football players," European Economic Review, Elsevier, vol. 141(C).
    4. Camelia M. Kuhnen & Paul Oyer, 2016. "Exploration for Human Capital: Evidence from the MBA Labor Market," Journal of Labor Economics, University of Chicago Press, vol. 34(S2), pages 255-286.
    5. Ray C. Fair & Edward H. Kaplan, 2018. "Estimating Aging Effects in Running Events," The Review of Economics and Statistics, MIT Press, vol. 100(4), pages 704-711, October.
    6. Benoit Dostie, 2011. "Wages, Productivity and Aging," De Economist, Springer, vol. 159(2), pages 139-158, June.
    7. Rupert, Peter & Zanella, Giulio, 2015. "Revisiting wage, earnings, and hours profiles," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 114-130.
    8. Christian Dustmann & Sonia C. Pereira, 2008. "Wage Growth and Job Mobility in the United Kingdom and Germany," ILR Review, Cornell University, ILR School, vol. 61(3), pages 374-393, April.
    9. Lazear, Edward P, 1981. "Agency, Earnings Profiles, Productivity, and Hours Restrictions," American Economic Review, American Economic Association, vol. 71(4), pages 606-620, September.
    10. Rachel Scarfe & Carl Singleton & Paul Telemo, 2021. "Extreme Wages, Performance, and Superstars in a Market for Footballers," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 60(1), pages 84-118, January.
    11. Christopher T. Stanton & Catherine Thomas, 2016. "Landing the First Job: The Value of Intermediaries in Online Hiring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(2), pages 810-854.
    12. Sharon M. Oster & Daniel S. Hamermesh, 1998. "Aging And Productivity Among Economists," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 154-156, February.
    13. Stefan Kesenne, 2015. "The Single Entity Status of a Sports League," Journal of Sports Economics, , vol. 16(8), pages 811-818, December.
    14. Bertoni, Marco & Brunello, Giorgio & Rocco, Lorenzo, 2015. "Selection and the age – productivity profile. Evidence from chess players," Journal of Economic Behavior & Organization, Elsevier, vol. 110(C), pages 45-58.
    15. repec:bla:scotjp:v:47:y:2000:i:4:p:431-55 is not listed on IDEAS
    16. Rodney Fort, 2000. "European and North American Sports Differences(?)," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(4), pages 431-455, September.
    17. Adler, Moshe, 1985. "Stardom and Talent," American Economic Review, American Economic Association, vol. 75(1), pages 208-212, March.
    18. 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.
    19. Mark Huggett & Gustavo Ventura & Amir Yaron, 2011. "Sources of Lifetime Inequality," American Economic Review, American Economic Association, vol. 101(7), pages 2923-2954, December.
    20. Scully, Gerald W, 1974. "Pay and Performance in Major League Baseball," American Economic Review, American Economic Association, vol. 64(6), pages 915-930, December.
    21. Stefan Késenne, 2006. "The Win Maximization Model Reconsidered," Journal of Sports Economics, , vol. 7(4), pages 416-427, November.
    22. Holmes, Benjamin & McHale, Ian G., 2024. "Forecasting football match results using a player rating based model," International Journal of Forecasting, Elsevier, vol. 40(1), pages 302-312.
    23. Brown, James N, 1989. "Why Do Wages Increase with Tenure? On-the-Job Training and Life-Cycle Wage Growth Observed within Firms," American Economic Review, American Economic Association, vol. 79(5), pages 971-991, December.
    24. John Charles Bradbury, 2019. "Determinants Of Revenue In Sports Leagues: An Empirical Assessment," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 121-140, January.
    25. Jan Ours & Lenny Stoeldraijer, 2011. "Age, Wage and Productivity in Dutch Manufacturing," De Economist, Springer, vol. 159(2), pages 113-137, June.
    26. Scott M. Kaplan, 2022. "Putting a price on popularity: Evidence from superstars in the National Basketball Association," Economic Inquiry, Western Economic Association International, vol. 60(3), pages 1357-1381, July.
    27. DepkenII, Craig A., 2000. "Wage disparity and team productivity: evidence from major league baseball," Economics Letters, Elsevier, vol. 67(1), pages 87-92, April.
    28. Roberto Burguet & József Sákovics, 2019. "Bidding For Talent In Sport," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 85-102, January.
    29. Jane, Wen-Jhan, 2010. "Raising salary or redistributing it: A panel analysis of Major League Baseball," Economics Letters, Elsevier, vol. 107(2), pages 297-299, May.
    30. Christopher R. Bollinger & Julie L. Hotchkiss, 2003. "The Upside Potential of Hiring Risky Workers: Evidence from the Baseball Industry," Journal of Labor Economics, University of Chicago Press, vol. 21(4), pages 923-944, October.
    31. 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.
    32. Williams, Nicolas, 2009. "Seniority, experience, and wages in the UK," Labour Economics, Elsevier, vol. 16(3), pages 272-283, June.
    33. Anil Özdemir & Helmut Dietl & Giambattista Rossi & Rob Simmons, 2022. "Are workers rewarded for inconsistent performance?," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 61(2), pages 137-151, April.
    34. Ana Cardoso & Paulo Guimarães & José Varejão, 2011. "Are Older Workers Worthy of Their Pay? An Empirical Investigation of Age-Productivity and Age-Wage Nexuses," De Economist, Springer, vol. 159(2), pages 95-111, June.
    35. John Charles Bradbury, 2021. "Financial Returns in Major League Soccer," Journal of Sports Economics, , vol. 22(8), pages 921-945, December.
    36. Hellerstein, Judith K & Neumark, David & Troske, Kenneth R, 1999. "Wages, Productivity, and Worker Characteristics: Evidence from Plant-Level Production Functions and Wage Equations," Journal of Labor Economics, University of Chicago Press, vol. 17(3), pages 409-446, July.
    37. Börsch-Supan, Axel & Hunkler, Christian & Weiss, Matthias, 2021. "Big data at work: Age and labor productivity in the service sector," The Journal of the Economics of Ageing, Elsevier, vol. 19(C).
    38. Fair Ray C, 2008. "Estimated Age Effects in Baseball," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 4(1), pages 1-41, January.
    39. Edward P Lazear, 1998. "Hiring Risky Workers," Palgrave Macmillan Books, in: Isao Ohashi & Toshiaki Tachibanaki (ed.), Internal Labour Markets, Incentives and Employment, chapter 7, pages 143-158, Palgrave Macmillan.
    40. Marko Terviö, 2009. "Superstars and Mediocrities: Market Failure in the Discovery of Talent -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(2), pages 829-850.
    41. Levine, David I., 1991. "Cohesiveness, productivity, and wage dispersion," Journal of Economic Behavior & Organization, Elsevier, vol. 15(2), pages 237-255, March.
    42. Claudio Lucifora & Rob Simmons, 2003. "Superstar Effects in Sport," Journal of Sports Economics, , vol. 4(1), pages 35-55, February.
    43. Lazear, Edward P, 1979. "Why Is There Mandatory Retirement?," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1261-1284, December.
    44. Thomas Peeters, 2015. "Profit-Maximizing Gate Revenue Sharing In Sports Leagues," Economic Inquiry, Western Economic Association International, vol. 53(2), pages 1275-1291, April.
    45. Kay H. Hofmann & Christian Opitz, 2019. "Talent and publicity as determinants of superstar incomes: empirical evidence from the motion picture industry," Applied Economics, Taylor & Francis Journals, vol. 51(13), pages 1383-1395, March.
    46. Pekka Ilmakunnas & Mika Maliranta, 2005. "Technology, Labour Characteristics and Wage‐productivity Gaps," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(5), pages 623-645, October.
    47. Christian Deutscher & Oliver Gürtler & Joachim Prinz & Daniel Weimar, 2017. "The Payoff To Consistency In Performance," Economic Inquiry, Western Economic Association International, vol. 55(2), pages 1091-1103, April.
    48. Dennis Coates & Bernd Frick & Todd Jewell, 2016. "Superstar Salaries and Soccer Success," Journal of Sports Economics, , vol. 17(7), pages 716-735, October.
    49. R. Todd Jewell, 2017. "The Effect of Marquee Players on Sports Demand," Journal of Sports Economics, , vol. 18(3), pages 239-252, April.
    50. Jahn Hakes & Chad Turner, 2011. "Pay, productivity and aging in Major League Baseball," Journal of Productivity Analysis, Springer, vol. 35(1), pages 61-74, February.
    51. Rachel Scarfe & Carl Singleton & Paul Telemo, 2019. "Do high wage footballers play for high wage teams? The case of Major League Soccer," Economics Discussion Papers em-dp2019-04, Department of Economics, University of Reading, revised 01 Feb 2020.
    52. Todd H. Kuethe & Mesbah Motamed, 2010. "Returns to Stardom: Evidence From U.S. Major League Soccer," Journal of Sports Economics, , vol. 11(5), pages 567-579, October.
    53. Alexandros Zangelidis, 2008. "Seniority Profiles in Unionized Workplaces: Do Unions Still have the Edge?," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(3), pages 327-345, June.
    54. Jacob Mincer, 1958. "Investment in Human Capital and Personal Income Distribution," Journal of Political Economy, University of Chicago Press, vol. 66(4), pages 281-281.
    55. Bernd Frick, 2007. "The Football Players' Labor Market: Empirical Evidence From The Major European Leagues," Scottish Journal of Political Economy, Scottish Economic Society, vol. 54(3), pages 422-446, July.
    56. Blass, Asher A, 1992. "Does the Baseball Labor Market Contradict the Human Capital Model of Investment?," The Review of Economics and Statistics, MIT Press, vol. 74(2), pages 261-268, May.
    57. John Twomey & James Monks, 2011. "Monopsony and Salary Suppression: The Case of Major League Soccer in the United States," The American Economist, Sage Publications, vol. 56(1), pages 20-28, May.
    58. Hanoch, Giora & Honig, Marjorie, 1985. ""True" Age Profiles of Earnings: Adjusting for Censoring and for Period and Cohort Effects," The Review of Economics and Statistics, MIT Press, vol. 67(3), pages 383-394, August.
    59. Nela Filimon & Jordi López-Sintas & Carlos Padrós-Reig, 2011. "A test of Rosen’s and Adler’s theories of superstars," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 35(2), pages 137-161, May.
    60. Paul Hek & Daniel Vuuren, 2011. "Are older workers overpaid? A literature review," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(4), pages 436-460, August.
    61. Franziska Prockl & Dirk Semmelroth, 2018. "Perception Versus Reality - Competitive Balance In Major League Soccer From 1996 – 2016," Working Papers Dissertations 36, Paderborn University, Faculty of Business Administration and Economics.
    62. Flynn, James, 2022. "Salary disclosure and individual effort: Evidence from the National Hockey League," Journal of Economic Behavior & Organization, Elsevier, vol. 202(C), pages 471-497.
    63. Andrew Healy, 2008. "Do Firms Have Short Memories?," Journal of Sports Economics, , vol. 9(4), pages 407-424, August.
    64. Vincenzo Carrieri & Francesco Principe & Michele Raitano, 2018. "What makes you ‘super-rich’? New evidence from an analysis of football players’ wages," Oxford Economic Papers, Oxford University Press, vol. 70(4), pages 950-973.
    65. Donald G. Ferguson & J. C. H. Jones & Kenneth G. Stewart, 2000. "Competition Within A Cartel: League Conduct And Team Conduct In The Market For Baseball Player Services," The Review of Economics and Statistics, MIT Press, vol. 82(3), pages 422-430, August.
    66. Bernd Frick, 2009. "Globalization and Factor Mobility," Journal of Sports Economics, , vol. 10(1), pages 88-106, February.
    67. Rosen, Sherwin, 1981. "The Economics of Superstars," American Economic Review, American Economic Association, vol. 71(5), pages 845-858, December.
    68. Giulio Zanella & Peter Rupert, 2010. "Revisiting Wage, Earnings, and Hours Profiles," 2010 Meeting Papers 1158, Society for Economic Dynamics.
    69. Lawrence M. Kahn, 2000. "The Sports Business as a Labor Market Laboratory," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 75-94, Summer.
    70. Thomas Peeters & Stefan Szymanski & Marko Terviö, 2022. "The Survival of Mediocre Superstars in the Labor Market [High Wage Workers and High Wage Firms]," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 38(3), pages 840-888.
    71. Thomas Ericson, 2000. "The Bosman Case," Journal of Sports Economics, , vol. 1(3), pages 203-218, August.
    72. Amanda Pallais, 2014. "Inefficient Hiring in Entry-Level Labor Markets," American Economic Review, American Economic Association, vol. 104(11), pages 3565-3599, November.
    73. Babatunde Buraimo & Bernd Frick & Michael Hickfang & Rob Simmons, 2015. "The Economics of Long-term Contracts in the Footballers' Labour Market," Scottish Journal of Political Economy, Scottish Economic Society, vol. 62(1), pages 8-24, February.
    74. Hausman, Jerry A & Leonard, Gregory K, 1997. "Superstars in the National Basketball Association: Economic Value and Policy," Journal of Labor Economics, University of Chicago Press, vol. 15(4), pages 586-624, October.
    Full references (including those not matched with items on IDEAS)

    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. Rachel Scarfe & Carl Singleton & Paul Telemo, 2021. "Extreme Wages, Performance, and Superstars in a Market for Footballers," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 60(1), pages 84-118, January.
    2. Paul Hek & Daniel Vuuren, 2011. "Are older workers overpaid? A literature review," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(4), pages 436-460, August.
    3. Stephan Kampelmann & François Rycx, 2012. "Are Occupations Paid What They are Worth? An Econometric Study of Occupational Wage Inequality and Productivity," De Economist, Springer, vol. 160(3), pages 257-287, September.
    4. Carl Singleton & Dominik Schreyer, 2023. "Cristiano of Arabia: Did Ronaldo increase Saudi Pro League attendances?," Economics Discussion Papers em-dp2023-14, Department of Economics, University of Reading.
    5. Hojun Sung & Brian M. Mills, 2018. "Estimation of game-level attendance in major league soccer: Outcome uncertainty and absolute quality considerations," Sport Management Review, Taylor & Francis Journals, vol. 21(5), pages 519-532, December.
    6. Vincenzo Carrieri & Francesco Principe & Michele Raitano, 2018. "What makes you ‘super-rich’? New evidence from an analysis of football players’ wages," Oxford Economic Papers, Oxford University Press, vol. 70(4), pages 950-973.
    7. Michael R. Ward & Alexander D. Harmon, 2019. "ESport Superstars," Journal of Sports Economics, , vol. 20(8), pages 987-1013, December.
    8. Maciej Lis, 2017. "Productivity based selection to retirement: Evidence from EU-SILC," IBS Working Papers 02/2017, Instytut Badan Strukturalnych.
    9. Franziska Prockl, 2018. "The Superstar Code - Deciphering Key Characteristics And Their Value," Working Papers Dissertations 38, Paderborn University, Faculty of Business Administration and Economics.
    10. Carrieri, Vincenzo & Principe, Francesco & Raitano, Michele, 2017. "What makes you "super-rich"? New evidence from an analysis of football players' earnings," Ruhr Economic Papers 681, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    11. Chmait, Nader & Robertson, Sam & Westerbeek, Hans & Eime, Rochelle & Sellitto, Carmine & Reid, Machar, 2020. "Tennis superstars: The relationship between star status and demand for tickets," Sport Management Review, Elsevier, vol. 23(2), pages 330-347.
    12. Anil Özdemir & Helmut Dietl & Giambattista Rossi & Robert Simmons, 2020. "Are Workers Rewarded for Inconsistent Performance?," Working Papers 386, University of Zurich, Department of Business Administration (IBW).
    13. Johan Rewilak, 2023. "The Designated Player Policy Rule and Attendance Demand in Major League Soccer," Journal of Sports Economics, , vol. 24(4), pages 475-496, May.
    14. Börsch-Supan, Axel & Weiss, Matthias, 2016. "Productivity and age: Evidence from work teams at the assembly line," The Journal of the Economics of Ageing, Elsevier, vol. 7(C), pages 30-42.
    15. 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).
    16. Furmaco, L. & Longley, N. & Palermo, A. & Rossi, G., 2021. "Employees’ Performance Variation over Fixed-Term Contracts - Evidence from the National Hockey League," Working Papers 2107, Tulane University, Department of Economics.
    17. 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.
    18. Anil Özdemir & Helmut Dietl & Giambattista Rossi & Rob Simmons, 2022. "Are workers rewarded for inconsistent performance?," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 61(2), pages 137-151, April.
    19. António Sérgio Ribeiro & Francisco Lima & Sascha Kraus & Ferran Calabuig, 2022. "Tournaments within football teams: players’ performance and wages," Economic Research-Ekonomska Istraživanja, Taylor & Francis Journals, vol. 35(1), pages 4884-4901, December.
    20. Fabienne Jedelhauser & Raphael Flepp & Egon Franck, 2023. "Overshadowed by Popularity: The Value of Second-Tier Stars in European Football," Journal of Sports Economics, , vol. 24(8), pages 1026-1054, December.

    More about this item

    Keywords

    Labour productivity; Wages; Aging; Sports Labour Markets;
    All these keywords.

    JEL classification:

    • J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts
    • Z22 - Other Special Topics - - Sports Economics - - - Labor Issues

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:rdg:emxxdp:em-dp2022-07. 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: Alexander Mihailov (email available below). General contact details of provider: https://edirc.repec.org/data/derdguk.html .

    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.