IDEAS home Printed from https://ideas.repec.org/p/crb/wpaper/2019-02.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://crese.univ-fcomte.fr/uploads/wp/WP-2019-02.pdf
    File Function: First version, 2019
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    3. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    4. 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.
    5. Ginsburgh, Victor & Zang, Israel, 2003. "The museum pass game and its value," Games and Economic Behavior, Elsevier, vol. 43(2), pages 322-325, May.
    6. 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.
    7. 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).
    8. Reijnierse, Hans & Maschler, Michael & Potters, Jos & Tijs, Stef, 1996. "Simple Flow Games," Games and Economic Behavior, Elsevier, vol. 16(2), pages 238-260, October.
    9. 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.
    10. 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.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Algaba, Encarnación & Béal, Sylvain & Fragnelli, Vito & Llorca, Natividad & Sánchez-Soriano, Joaquin, 2019. "Relationship between labeled network games and other cooperative games arising from attributes situations," Economics Letters, Elsevier, vol. 185(C).
    2. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 139-199, December.
    3. Potters, Jos & Reijnierse, Hans & Biswas, Amit, 2006. "The nucleolus of balanced simple flow networks," Games and Economic Behavior, Elsevier, vol. 54(1), pages 205-225, January.
    4. Qianqian Kong & Hans Peters, 2023. "Sequential claim games," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(3), pages 955-975, September.
    5. 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.
    6. 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).
    7. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Monotonicity in sharing the revenues from broadcasting sports leagues," European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
    8. Luyi Gui & Atalay Atasu & Özlem Ergun & L. Beril Toktay, 2016. "Efficient Implementation of Collective Extended Producer Responsibility Legislation," Management Science, INFORMS, vol. 62(4), pages 1098-1123, April.
    9. 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.
    10. 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.
    11. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
    12. 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..
    13. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Decentralized revenue sharing from broadcasting sports," Public Choice, Springer, vol. 194(1), pages 27-44, January.
    14. Gerichhausen, M. & Hamers, H.J.M., 2007. "Partitioning Sequencing Situations and Games," Other publications TiSEM 2bddbf5c-c56d-4b10-ba47-5, Tilburg University, School of Economics and Management.
    15. Daniel Granot & Jeroen Kuipers & Sunil Chopra, 2002. "Cost Allocation for a Tree Network with Heterogeneous Customers," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 647-661, November.
    16. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    17. Gustavo Berganti~nos & Juan D. Moreno-Ternero, 2023. "Revenue sharing at music streaming platforms," Papers 2310.11861, arXiv.org.
    18. Karol Flores-Szwagrzak & Rafael Treibich, 2020. "Teamwork and Individual Productivity," Management Science, INFORMS, vol. 66(6), pages 2523-2544, June.
    19. Victor Ginsburgh & Juan D. Moreno-Ternero, 2023. "The Eurovision Song Contest: voting rules, biases and rationality," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 47(2), pages 247-277, June.
    20. Gustavo Bergantiños & Juan Vidal-Puga, 2021. "A review of cooperative rules and their associated algorithms for minimum-cost spanning tree problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 73-100, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:crb:wpaper:2019-02. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Lauent Kondratuk (email available below). General contact details of provider: https://edirc.repec.org/data/crufcfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.