Allocating extra revenues from broadcasting sports leagues

Bergantiños, Gustavo and Moreno-Ternero, Juan D. (2019): Allocating extra revenues from broadcasting sports leagues.

Abstract

We consider the problem of sharing the revenues from broadcasting sports leagues among participating teams. We introduce axioms formalizing alternative ways of allocating the extra revenue obtained from additional viewers. We show that, combined with some other standard axioms, they provide axiomatic characterizations of three focal rules for this problem: the uniform rule, the equal-split rule and concede-and-divide.

• Item Type: MPRA Paper
• Language: English
• Keywords: resource allocation, broadcasting, sports leagues, axioms, extra revenues
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games

References

Algaba E., Fragnelli, V., Llorca, N., Sánchez-Soriano, J., 2019a. Horizontal cooperation in a multimodal public transport system: The profit allocation problem. European Journal of Operational Research 275, 659-665.

Algaba E., Béal, S., Fragnelli, V., Llorca, N., Sánchez-Soriano, J., 2019b. Relationship between labeled network games and other cooperative games arising from attributes situations. Economics Letters 185, 108708.

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.

Bergantiños, G., Moreno-Ternero, J.D., 2019a. Sharing the revenues from broadcasting sport events. Management Science. Forthcoming.

Bergantiños, G., Moreno-Ternero, J.D., 2019b. A family of rules to share the revenues from broadcasting sport events. UPO/ECON Working Paper 2019/07.

Bergantiños, G., Vidal-Puga, J., 2007. A fair rule in minimum cost spanning tree problems. Journal of Economic Theory 137, 26-352.

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

Ginsburgh, V., Zang, I., 2003. The museum pass game and its value. Games and Economic Behavior 43, 322-325.

Hu, C.-C., M.-H Tsay, and C.-H. Yeh, 2012. Axiomatic and strategic justifications for the constrained equal benefits rule in the airport problem. Games and Economic Behavior 75, 185-197.

Kalai, E., Smorodinsky, M., Other solution to the Nash's bargaining problem. Econometrica 43, 513-518.

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.

Nash, J., 1950. The bargaining problem. Econometrica 18, 155-162.

O'Neill, B., 1982. A problem of rights arbitration from the Talmud. Mathematical Social Sciences 2, 345-371.

Schmeidler, D., 1969. The Nucleolus of a Characteristic Function Game. SIAM Journal of Applied Mathematics 17, 1163-1170.

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., 2019. How to divide when there isn't enough: from Aristotle, the Talmud, and Maimonides to the axiomatics of resource allocation, Econometric Society Monograph. Cambridge University Press.

Tijs, S.H., 1987. An axiomatization of the τ-value. Mathematical Social Sciences 13, 177-181.

Trudeau, C., 2012. A new stable and more responsive cost sharing solution for minimum cost spanning tree problems. Games and Economic Behavior 75, 402-412.