This article shows that if a certain symmetric property of contests is assumed, then the ratio of equilibrium talent levels under equal revenue sharing maximizes the total league revenue and profits in the n-team model. This result holds irrespective of the types of conjectural variations, “Walrasian” or “Nash.”
AtkinsonS. E.StanleyL. R.TschirhartJ. (1988). Revenue sharing as an incentive in an agency problem: An example from the National Football League. RAND Journal of Economics, 19, 27–43.
2.
DietlH. M.LangM.RathkeA. (2011). The combined effect of salary restrictions and revenue sharing in sports leagues. Economic Inquiry, 49, 447–463.
3.
El-HodiriM.QuirkJ. (1971). An economic model of a professional sports league. Journal of Political Economy, 79, 1302–1319.
4.
FortR.QuirkJ. (1995). Cross-subsidization, incentives, and outcomes in professional team sports leagues. Journal of Economic Literature, 33, 1265–1299.
5.
HolmströmB. (1982). Moral hazard in teams. Bell Journal of Economics, 13, 324–340.
6.
KésenneS. (2005). Revenue sharing and competitive balance: Does the invariance proposition hold?Journal of Sports Economics, 6, 98–106.
7.
KésenneS. (2007). The economic theory of professional team sports: An analytical treatment. Cheltenham, England: Edward Elgar.
8.
MaddenP. (2011). Game theoretic analysis of basic team sports leagues. Journal of Sports Economics, 12, 407–431.
9.
Mas-ColellA.WhinstonM. D.GreenJ. R. (1995). Microeconomic theory. New York, NY: Oxford University Press.
SzymanskiS. (2006). Professional team sports are only a game: The Walrasian fixed-supply conjecture model, contest-Nash equilibrium, and the invariance principle, reply. Journal of Sports Economics, 7, 240–243.
12.
SzymanskiS. (2013). Some observations on Fort and Winfree “Nash conjectures and talent supply in sports league modeling: A comment on current modeling disagreements.”Journal of Sports Economics, 14, 321–326.
13.
SzymanskiS.KésenneS. (2004). Competitive balance and gate revenue sharing in team sports. Journal of Industrial Economics, 52, 165–177.
14.
TopkisD. M. (1998). Supermodularity and complementarity. Princeton, NJ: Princeton University Press.
15.
VivesX. (1999). Oligopoly pricing. Cambridge, MA: The MIT Press.
16.
VroomanJ. (1995). A general theory of professional sports leagues. Southern Economic Journal, 61, 971–990.