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Multinomial Probabilistic Values

Author

Listed:
  • Francesc Carreras

    (Technical University of Catalonia)

  • María Albina Puente

    (Technical University of Catalonia)

Abstract

Multinomial probabilistic values were introduced by one of us in reliability. Here we define them for all cooperative games and illustrate their behavior in practice by means of an application to the analysis of a political problem.

Suggested Citation

  • Francesc Carreras & María Albina Puente, 2015. "Multinomial Probabilistic Values," Group Decision and Negotiation, Springer, vol. 24(6), pages 981-991, November.
    • Handle: RePEc:spr:grdene:v:24:y:2015:i:6:d:10.1007_s10726-014-9425-3
    DOI: 10.1007/s10726-014-9425-3
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    References listed on IDEAS

    as
    1. Pradeep Dubey & Abraham Neyman & Robert James Weber, 1981. "Value Theory Without Efficiency," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 122-128, February.
    2. Carreras, Francesc, 2005. "A decisiveness index for simple games," European Journal of Operational Research, Elsevier, vol. 163(2), pages 370-387, June.
    3. Francesc Carreras & M. Llongueras & Antonio Magaña, 2005. "On the Convenience to Form Coalitions or Partnerships in Simple Games," Annals of Operations Research, Springer, vol. 137(1), pages 67-89, July.
    4. Francesc Carreras & Josep Freixas, 2002. "Semivalue Versatility and Applications," Annals of Operations Research, Springer, vol. 109(1), pages 343-358, January.
    5. Josep Freixas & M. Puente, 2002. "Reliability Importance Measures of the Components in a System Based on Semivalues and Probabilistic Values," Annals of Operations Research, Springer, vol. 109(1), pages 331-342, January.
    6. Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Antonio Magaña & Francesc Carreras, 2018. "Coalition Formation and Stability," Group Decision and Negotiation, Springer, vol. 27(3), pages 467-502, June.
    2. 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.
    3. Albizuri, M.J. & Goikoetxea, A., 2022. "Probabilistic Owen-Shapley spatial power indices," Games and Economic Behavior, Elsevier, vol. 136(C), pages 524-541.
    4. Oğuzhan Ahmet Arık & Erkan Köse & Jeffrey Yi-Lin Forrest, 2019. "Project Staff Scheduling with Theory of Coalition," Group Decision and Negotiation, Springer, vol. 28(4), pages 827-847, August.
    5. Benati, Stefano & López-Blázquez, Fernando & Puerto, Justo, 2019. "A stochastic approach to approximate values in cooperative games," European Journal of Operational Research, Elsevier, vol. 279(1), pages 93-106.
    6. M. J. Albizuri & A. Goikoetxea, 2021. "The Owen–Shapley Spatial Power Index in Three-Dimensional Space," Group Decision and Negotiation, Springer, vol. 30(5), pages 1027-1055, October.

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