Monotonicity in sharing the revenues from broadcasting sports leagues

Abstract

We explore the implications of the principle of monotonicity in the problem of sharing the revenues from broadcasting sports leagues. We formalize different forms of this principle as several axioms for sharing rules in this setting. We show that, combined with two other basic axioms (equal treatment of equals and additivity), they provide axiomatic characterizations of focal rules for this problem, as well as families of rules compromising among them. These results highlight the normative appeal of the (focal) equal-split rule.