Monotonicity in streaming problems

Gustavo Berganti\~nos and Juan Moreno-Ternero

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Abstract: We explore the implications of the principle of monotonicity in the problem of sharing the revenues raised from subscriptions to music streaming platforms among content providers. We formalize various forms of this principle as several axioms for popularity indices, which generate sharing rules in this setting. We show that, combined with some other basic axioms (such as additivity, symmetry, or pairwise homogeneity), they provide axiomatic characterizations of focal indices for this problem, as well as more general families comprising them.

Date: 2026-10
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