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On egalitarian values for cooperative games with a priori unions

Author

Listed:
  • J. M. Alonso-Meijide

    (Universidade de Santiago de Compostela, Facultade de Ciencias)

  • J. Costa

    (Universidade da Coruña)

  • I. García-Jurado

    (Universidade da Coruña)

  • J. C. Gonçalves-Dosantos

    (Universidade da Coruña)

Abstract

In this paper, we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with a priori unions. In the case of the equal surplus division value we propose three possible extensions. We provide axiomatic characterizations of the new values. Furthermore, we apply the proposed modifications to a particular motivating example and compare the numerical results with those obtained with the original values.

Suggested Citation

  • J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2020. "On egalitarian values for cooperative games with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 672-688, October.
    • Handle: RePEc:spr:topjnl:v:28:y:2020:i:3:d:10.1007_s11750-020-00553-2
    DOI: 10.1007/s11750-020-00553-2
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    References listed on IDEAS

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    Cited by:

    1. J. C. Gonçalves-Dosantos & I. García-Jurado & J. Costa & J. M. Alonso-Meijide, 2022. "Necessary players and values," Annals of Operations Research, Springer, vol. 318(2), pages 935-961, November.
    2. Erfang Shan & Zhiqiang Yu & Wenrong Lyu, 2023. "Union-wise egalitarian solutions in cooperative games with a coalition structure," 4OR, Springer, vol. 21(3), pages 533-545, September.
    3. Rong Zou & Wenzhong Li & Marc Uetz & Genjiu Xu, 2023. "Two-step Shapley-solidarity value for cooperative games with coalition structure," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(1), pages 1-25, March.
    4. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2023. "On egalitarian values for cooperative games with level structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 98(1), pages 57-73, August.
    5. Gómez-Rodríguez, Marcos & Davila-Pena, Laura & Casas-Méndez, Balbina, 2024. "Cost allocation problems on highways with grouped users," European Journal of Operational Research, Elsevier, vol. 316(2), pages 667-679.
    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. Jun Su & Yuan Liang & Guangmin Wang & Genjiu Xu, 2020. "Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value," Mathematics, MDPI, vol. 8(11), pages 1-20, November.

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