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Relationship between labeled network games and other cooperative games arising from attributes situations

Author

Listed:
  • Encarnación Algaba
  • Vito Fragnelli
  • Natividad Llorca
  • Joaquin Sánchez-Soriano
  • Sylvain Béal

    (CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE])

Abstract

We study the relationship between cooperative games which arise from very different situations. On the one hand, the labeled network game which is defined to study how to allocate a certain flow in a network among agents that control different parts of the network. On the other hand, the museum pass game which is defined to analyze how to distribute the profit generated by passes which provide visitors unlimited access to the participating museums. We establish that both problems are related in the sense that a museum pass game can be written as a labeled network game and almost all labeled network games can be written as museum pass games. We also point out that these classes of games can be related to other classes of games, for which we provide a generic interpretation in terms of attributes and population.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Encarnación Algaba & Vito Fragnelli & Natividad Llorca & Joaquin Sánchez-Soriano & Sylvain Béal, 2019. "Relationship between labeled network games and other cooperative games arising from attributes situations," Post-Print hal-04417764, HAL.
    • Handle: RePEc:hal:journl:hal-04417764
    DOI: 10.1016/j.econlet.2019.108708
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    Cited by:

    1. Elisenda Molina & Juan Tejada & Tom Weiss, 2022. "Some game theoretic marketing attribution models," Annals of Operations Research, Springer, vol. 318(2), pages 1043-1075, November.
    2. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Mathematical indices for the influence of risk factors on the lethality of a disease," ThE Papers 21/02, Department of Economic Theory and Economic History of the University of Granada..
    3. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2020. "Allocating extra revenues from broadcasting sports leagues," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 65-73.
    4. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
    5. Gonçalves-Dosantos, Juan Carlos & Martínez, Ricardo & Sánchez-Soriano, Joaquín, 2025. "Revenue distribution in streaming," Omega, Elsevier, vol. 132(C).
    6. Juan Carlos Gonc{c}alves-Dosantos & Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2024. "The museum pass problem with consortia," Papers 2410.23923, arXiv.org.
    7. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Social solidarity with dummies in the museum pass problem," ThE Papers 21/11, Department of Economic Theory and Economic History of the University of Granada..

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