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Relationship between labeled network games and museum pass games

Author

Listed:
  • Encarnaciön Algaba

    (Department of Applied Mathematics II and IMUS. University of Sevilla)

  • Sylvain Béal

    (Université de Bourgogne Franche-Comté, CRESE)

  • Vito Fragnelli

    (Department of Science and Innovative Technologies. University of Eastern Piedmont)

  • Natividad Llorca

    (Research Institute CIO and Department of Statistics, Mathematics and Computer Science. University Miguel Hernandez of Elche)

  • Joaquin Sänchez-Soriano

    (Research Institute CIO and Department of Statistics, Mathematics and Computer Science. University Miguel Hernandez of Elche)

Abstract

We study the relationship between two 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 obtained from the use of passes which provide visitors unlimited access to the collaborating 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 some labeled network games can be written as museum pass games.

Suggested Citation

  • Encarnaciön Algaba & Sylvain Béal & Vito Fragnelli & Natividad Llorca & Joaquin Sänchez-Soriano, 2019. "Relationship between labeled network games and museum pass games," Working Papers 2019-02, CRESE.
  • Handle: RePEc:crb:wpaper:2019-02
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    References listed on IDEAS

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    1. Curiel, I. & Derks, J. & Tijs, S.H., 1989. "On balanced games and games with committee control," Other publications TiSEM 43993ad7-6225-435d-bfa4-b, Tilburg University, School of Economics and Management.
    2. Ginsburgh, Victor & Zang, Israel, 2003. "The museum pass game and its value," Games and Economic Behavior, Elsevier, vol. 43(2), pages 322-325, May.
    3. Casas-Méndez, Balbina & Fragnelli, Vito & García-Jurado, Ignacio, 2011. "Weighted bankruptcy rules and the museum pass problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 161-168, November.
    4. BERGANTIÑOS, Gustavo & MORENO-TERNERO, Juan D., 2016. "A New Rule for the Problem of Sharing the Revenue from Museum Passes," LIDAM Reprints CORE 2721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Derks, J.J.M. & Tijs, S.H., 1985. "Stable outcomes for multi-commodity flow games," Other publications TiSEM f643e6a4-cf4e-4892-8f00-c, Tilburg University, School of Economics and Management.
    6. 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.
    7. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    9. Reijnierse, J.H. & Maschler, M.B. & Potters, J.A.M. & Tijs, S.H., 1996. "Simple flow games," Other publications TiSEM 1627a9be-de9d-4905-b68a-1, Tilburg University, School of Economics and Management.
    10. Reijnierse, Hans & Maschler, Michael & Potters, Jos & Tijs, Stef, 1996. "Simple Flow Games," Games and Economic Behavior, Elsevier, vol. 16(2), pages 238-260, October.
    11. Derks, J.J.M. & Tijs, S.H., 1986. "Totally balanced multi-commodity games and flow games," Other publications TiSEM a3b62c80-5fbd-4864-9764-a, Tilburg University, School of Economics and Management.
    12. Zhao, Jingang, 2018. "Three little-known and yet still significant contributions of Lloyd Shapley," Games and Economic Behavior, Elsevier, vol. 108(C), pages 592-599.
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