A Real Options Approach to Multi-Year Contracts in Professional Sports

Rockerbie, Duane and Easton, Stephen (2019): A Real Options Approach to Multi-Year Contracts in Professional Sports.

Abstract

This study utilized a number of useful innovations to estimate marginal revenue product’s for Major League Baseball free agents.Two robust results emerged from our empirical results. Free agents that are paid a salary below the MLB average tend to be underpaid, while those paid a salary above the MLB average tend to be overpaid. In addition, free agents on single-year contracts tend to be underpaid, while those on multi-year contracts tend to be overpaid. These results are not consistent with the standard monopsony talent market assumption, unless one resorts to arguing that the talent market is segmented. We develop a simple model of real options to demonstrate how a player can be overpaid or underpaid depending upon the length of the contract, the available opportunities for the player to move during the contract period and the player’s expected performance. We believe that a real options approach to player contracting is an important addition to the market-based approaches relied upon in the past.

• Item Type: MPRA Paper
• Language: English
• Keywords: marginal revenue product; baseball; real options; contracts
• Subjects: J - Labor and Demographic Economics > J4 - Particular Labor Markets > J41 - Labor Contracts; L - Industrial Organization > L8 - Industry Studies: Services > L83 - Sports ; Gambling ; Restaurants ; Recreation ; Tourism

References

Azariadis, C. (1975). Implicit contracts and underemployment equilibria. Journal of Political Economy, 83(6), 1183-1202.

Baily, M. (1974). Wages and employment under uncertain demand. Review of Economic Studies, 41(1), 37-50.

Berri, D., Leeds, M. & P. von Allmen. (2015). Salary determination in the presence of fixed revenues. International Journal of Sport Finance, 10, 5-25.

Bradbury, J.C. (2007). Does the baseball player market properly value pitchers? Journal of Sports Economics, 8(6), 616-32.

___________. (2013). What is right with Scully estimates of a player’s marginal revenue product. Journal of Sports Economics, 14(1), 87-96.

Brown, K. & L. Jepsen. (2009). The impact of team revenues on MLS salaries. Journal of Sports Economics, 10(2), 192-203.

Bruggink, T. & D. Rose. (1990). Financial restraint in the free agent labor market for major league baseball: Players look at strike three. Southern Economic Journal, 57(4), 1029-43.

Clapp, C. & J. Hakes. (2005). How long a honeymoon? The effect of new stadiums on attendance in Major League Baseball. Journal of Sports Economics, 6(3), 37-63.

Coates, D. & B. Humphreys. (2005). Novelty effects of new facilities on attendance at professional sporting events. Contemporary Economic Policy, 23(3), 436-55.

Coffin, Donald A. (1996). If you build it, will they come? Attendance and new stadium construction in J. Fizel, E. Gustafson, L. Hadley (Eds.), Baseball Economics: Current Research. Westport, Conn. and London: Greenwood, Praeger, 33-46.

Copeland, T. & V. Antikarov. (2003). Real Options: A Practitioner’s Guide. New York: Thomson.

Fama, E. & K. French. (1994). The Capital Asset Pricing Model: Theory and evidence. Journal of Economic Perspectives, 18(3), 25-46.

Fort, R. (1992). Pay and performance: Is the field of dreams barren? in P. Sommers (Ed.), Diamonds are forever: The business of baseball. Washington, D.C.: The Brookings Institution, 134-60.

Humphreys, B. & H Pyun. (2017). Monopsony exploitation in professional sport: Evidence from Major League Baseball position players, 2000-2011. Managerial and Decision Economics, 38(5), 676-688.

Krautmann, A. (1999). What is wrong with Scully’s estimates of a player’s marginal revenue product? Economic Inquiry, 37(2), 369-81.

Krautmann, A. & J. Ciecka. (2009). The post season value of an elite player to a contending team. Journal of Sports Economics, 10(2), 168-79.

Krautmann, A. & J. Solow. (2018). The economics of long-term contracts in Major League Baseball. Unpublished working paper, DePaul University.

Krautmann, A., vol Allmen, P. & D. Berri (2009). The underpayment of restricted players in North American sports leagues. International Journal of Sport Finance, 4(3), 161-175.

Leeds, M. & Kowalewski, S. (2001). Winner take all in the NFL: The effect of the salary cap and free agency on the compensation of skill position players. Journal of Sports Economics, 2(3), 244-56.

Leeds, E. & M. Leeds. (2017). Monopsony power in the Labor Market of Nippon Professional Baseball. Managerial and Decision Economics, 38(5), 689-696.

MacDonald, D. & Reynolds, M. (1994). Are baseball players paid their marginal products? Managerial and Decision Economics, 15, 443-57.

Madden, P. (2011). Game theoretic analysis of basic team sports leagues. Journal of Sports Economics, 12(4), 407-431.

Rockerbie, D. & S. Easton. (2019). Of bricks and bats: New stadiums, talent supply and team performance in Major League Baseball. Journal of Sports Economics, 20(1), 3-24.

Romer, D. (2012). Advanced macroeconomics (4th Ed.). New York: McGraw-Hill Irwin.

Rosen, S. (1981). The economics of superstars. American Economic Review, 71(5), 845-858.

Rosen, S. & A. Sanderson. (2001). Labor market in professional sports. Economic Journal, 111 (February), F47-F68.

Rudanko, L. (2009). Labor market dynamics under long-term wage contracting. Journal of Monetary Economics, 56(2), 170-183.

Scully, G. (1974). Pay and performance in major league baseball. American Economic Review, 64(5), 915-30.

__________. (1989). The business of major league baseball. Chicago, IL: University of Chicago Press.

Szymanski, S. (2004). Professional team sports are only a game: The Walrasian fixed-supply conjecture model, contest-Nash equilibrium, and the invariance principle. Journal of Sports Economics, 5(2), 111-126.

Yamaguchi, S. (2010). Job search, bargaining and wage dynamics. Journal of Labor Economics, 28(3), 595-631.

Zimbalist, A. (1992). Salaries and performance: beyond the Scully model. in P. Sommers (Ed.), Diamonds Are Forever: The Business of Baseball. Washington, D.C.: The Brookings Institution, 109-33.

_______________. (2010). Reflections on salary shares and salary caps. Journal of Sports Economics, 11(1), 17-28.