Bergantiños, Gustavo and Moreno-Ternero, Juan D. (2018): Sharing the revenues from broadcasting sport events. Forthcoming in: Management Science
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Abstract
We study the problem of sharing the revenue from broadcasting sport events, among participating players. We provide direct, axiomatic and game-theoretical foundations for two focal rules: the equal-split rule and concede-and-divide. The former allocates the revenues generated from broadcasting each game equally among the participating players in the game. The latter concedes players in each game the revenues generated by their respective fans and divides equally the residual. We also provide an application studying the case of sharing the revenue from broadcasting games in La Liga, the Spanish Football League. We show that hybrid schemes, combining our rules with lower bounds and performance measures, yield close outcomes to the current allocation being implemented by the Spanish National Professional Football League Association.
Item Type: | MPRA Paper |
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Original Title: | Sharing the revenues from broadcasting sport events |
English Title: | Sharing the revenues from broadcasting sport events |
Language: | English |
Keywords: | resource allocation, broadcasting, sport events, concede-and-divide, Shapley value. |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games |
Item ID: | 94311 |
Depositing User: | Gustavo Bergantiño |
Date Deposited: | 05 Jun 2019 20:48 |
Last Modified: | 28 Sep 2019 14:51 |
References: | Adams, W.J., Yellen, J.L., 1973, Commodity Bundling and the Burden of Monopoly. Quarterly Journal of Economics 90, 475-98. Atkinson, S.E., Stanley, L.R., Tschirhart, J., 1988. Revenue sharing as an incentive in an agency problem: An example from the National Football League. RAND Journal of Economics 19, 27-43. Aumann R.J., Maschler M., 1985. Game theoretic analysis of a bankruptcy problem from the Talmud. Journal of Economic Theory 36, 195-213. Bergantiños, G., Moreno-Ternero, J.D., 2015. The axiomatic approach to the problem of sharing the revenue from museum passes. Games and Economic Behavior 89, 78-92. Brink van den, R., 2007. Null or nullifying players: The difference between the Shapley value and equal division solutions. Journal of Economic Theory 136, 767-775 El Hodiri, M., Quirk, J., 1971. An economic model of a professional sports league. Journal of Political Economy 79, 1302-1319. Flores-Szwagrzak, K., Treibich, R., 2017. Teamwork and Individual Productivity. Mimeo. Copenhagen Business School. Ginsburgh, V., Zang, I., 2003. The museum pass game and its value. Games and Economic Behavior 43, 322-325. Hansen, B.O., Tvede, M., 2016. Revenue Sharing in European Football Leagues: A Theoretical Analysis. Chapter 12 in A.A. Pinto et al., (eds.), Trends in Mathematical Economics. Springer. Kalai, E., Samet, D., 1987. On Weighted Shapley Values, International Journal of Game Theory 16, 205-222. Késenne, S., 2000. Revenue sharing and competitive balance in professional team sports. Journal of Sports Economics 1, 56-65. Littlechild, S., Owen. G., 1973, A simple expression for the Shapley value in a special case, Management Science 20, 370-372. van den Nouweland, A., Borm, P., van Golstein Brouwers, W., Groot Bruinderink, R., Tijs, S., 1996. A Game Theoretic Approach to Problems in Telecommunication. Management Science 42, 294-303. Moreno-Ternero, J., Roemer, J., 2006. Impartiality, priority and solidarity in the theory of justice. Econometrica 74, 1419-1427. Moreno-Ternero, J., Roemer, J., 2012. A common ground for resource and welfare egalitarianism. Games and Economic Behavior 75, 832-841. Moreno-Ternero, J., Thomson, W., 2017. Between(s) Aristotle and the Talmud. Mimeo. University of Rochester. O'Neill, B., 1982. A problem of rights arbitration from the Talmud. Mathematical Social Sciences 2, 345-371. Rottenberg, S., 1956. The baseball players' labor market. Journal of Political Economy 64, 242-258. Shapley, L., 1953. A value for n-person games, in Contributions to the Theory of Games II (Annals of Mathematics Studies 28), ed. by H.W. Kuhn and A.W. Tucker, Princeton: Princeton University Press, 307-317. Thomson, W., 2001. On the axiomatic method and its recent applications to game theory and resource allocation. Social Choice and Welfare 18, 327-386. Thomson, W., 2003. Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey, Mathematical Social Sciences 45, 249-297. Thomson W., 2014. Fair allocation. Princeton University Press. Forthcoming. Thomson W., 2015. Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update. Mathematical Social Sciences 74, 41-59. Thomson W., 2017. How to divide when there isn't enough: from Aristotle, the Talmud, and Maimonides to the axiomatics of resource allocation, Econometric Society Monograph. Forthcoming. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/94311 |