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The Shapley index for music streaming platforms

Author

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  • Gustavo Berganti~nos
  • Juan D. Moreno-Ternero

Abstract

We study an index to measure the popularity of artists in music streaming platforms. This index, which can be used to allocate the amount raised via paid subscriptions among participating artists, is based on the Shapley value, a centerpiece in cooperative game theory. We characterize this Shapley index combining several axioms formalizing principles with normative appeal. This permits to place the index in the literature, as an alternative to the well-known (and widely used in the industry) pro-rata and user-centric indices.

Suggested Citation

  • Gustavo Berganti~nos & Juan D. Moreno-Ternero, 2024. "The Shapley index for music streaming platforms," Papers 2411.07166, arXiv.org.
    • Handle: RePEc:arx:papers:2411.07166
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    References listed on IDEAS

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    1. Gustavo Berganti~nos & Juan D. Moreno-Ternero, 2023. "Revenue sharing at music streaming platforms," Papers 2310.11861, arXiv.org.
    2. Péter Csóka & P. Jean-Jacques Herings, 2021. "An Axiomatization of the Proportional Rule in Financial Networks," Management Science, INFORMS, vol. 67(5), pages 2799-2812, May.
    3. Belleflamme, Paul & Peitz, Martin, 2021. "The Economics of Platforms : Concepts and Strategy," LIDAM Reprints CORE 3185, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    5. R. Pablo Arribillaga & G. Bergantiños, 2022. "Cooperative and axiomatic approaches to the knapsack allocation problem," Annals of Operations Research, Springer, vol. 318(2), pages 805-830, November.
    6. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    7. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, December.
    8. Ginsburgh, Victor & Zang, Israel, 2003. "The museum pass game and its value," Games and Economic Behavior, Elsevier, vol. 43(2), pages 322-325, May.
    9. Reiko Aoki & Luis Cabral, 2019. "Editor’s Introduction to Special Issue on Industrial Organization," The Japanese Economic Review, Springer, vol. 70(3), pages 279-279, September.
    10. Belleflamme,Paul & Peitz,Martin, 2021. "The Economics of Platforms," Cambridge Books, Cambridge University Press, number 9781108710749, January.
    11. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2015. "The axiomatic approach to the problem of sharing the revenue from museum passes," Games and Economic Behavior, Elsevier, vol. 89(C), pages 78-92.
    12. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    13. Janek Meyn & Michael Kandziora & Sönke Albers & Michel Clement, 2023. "Consequences of platforms' remuneration models for digital content: initial evidence and a research agenda for streaming services," Journal of the Academy of Marketing Science, Springer, vol. 51(1), pages 114-131, January.
    14. Karol Flores-Szwagrzak & Rafael Treibich, 2020. "Teamwork and Individual Productivity," Management Science, INFORMS, vol. 66(6), pages 2523-2544, June.
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    16. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
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    19. Lozano, S. & Moreno, P. & Adenso-Díaz, B. & Algaba, E., 2013. "Cooperative game theory approach to allocating benefits of horizontal cooperation," European Journal of Operational Research, Elsevier, vol. 229(2), pages 444-452.
    20. Jens-Uwe Franck & Martin Peitz, 2021. "Market Definition in the Platform Economy," CRC TR 224 Discussion Paper Series crctr224_2021_259v2, University of Bonn and University of Mannheim, Germany.
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