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Streaming problems as (multi-issue) claims problems

Gustavo Bergantiños, Juan D. Moreno-Ternero

TL;DR

The paper addresses how to allocate subscription revenues among artists in music streaming systems by recasting streaming problems as (multi-issue) claims problems. It shows that the familiar streaming rules, including pro-rata, user-centric, Shapley, and their weighted variants, arise from well-established claims-rule frameworks via two-stage constructions and extension operators. Key results establish exact mappings: $R^P = R^{P,P}$ and $U = R^{CEA,P}$, with $Sh = R^{CEA,CEA}$, and demonstrate corresponding correspondences for probabilistic and weighted-indices across two-stage rules. This bridge provides a principled, axiomatic lens for analyzing streaming revenue-sharing and suggests new avenues for both theoretical characterization and practical design using the rich claims-problem literature.

Abstract

We study the problem of allocating the revenues raised via paid subscriptions to music streaming platforms among participating artists. We show that the main methods to solve streaming problems (pro-rata, user-centric and families generalizing them) can be seen as specific (well-known) rules to solve (multi-issue) claims problems. Our results permit to provide strong links between the well-established literature on claims problems and the emerging literature on streaming problems.

Streaming problems as (multi-issue) claims problems

TL;DR

The paper addresses how to allocate subscription revenues among artists in music streaming systems by recasting streaming problems as (multi-issue) claims problems. It shows that the familiar streaming rules, including pro-rata, user-centric, Shapley, and their weighted variants, arise from well-established claims-rule frameworks via two-stage constructions and extension operators. Key results establish exact mappings: and , with , and demonstrate corresponding correspondences for probabilistic and weighted-indices across two-stage rules. This bridge provides a principled, axiomatic lens for analyzing streaming revenue-sharing and suggests new avenues for both theoretical characterization and practical design using the rich claims-problem literature.

Abstract

We study the problem of allocating the revenues raised via paid subscriptions to music streaming platforms among participating artists. We show that the main methods to solve streaming problems (pro-rata, user-centric and families generalizing them) can be seen as specific (well-known) rules to solve (multi-issue) claims problems. Our results permit to provide strong links between the well-established literature on claims problems and the emerging literature on streaming problems.

Paper Structure

This paper contains 7 sections, 4 theorems, 51 equations.

Table of Contents

  1. Introduction
  2. Claims problems
  3. Streaming problems
  4. A bridge between claims and streaming problems
  5. Results for individual indices
  6. Results for families of indices
  7. Conclusions

Key Result

Theorem 1

Let $\left( N,M,t\right)\in\mathcal{P}$ be a streaming problem and $\left( N,K,c,E\right)\in\mathcal{MC}$ be the associated (multi-issue) claims problem. Then, the following statements hold:

Theorems & Definitions (6)

  • Example 1
  • Theorem 1
  • Example 2
  • Theorem 2
  • Theorem 3
  • Theorem 4