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An axiomatization of the modified Banzhaf Coleman index

Author

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  • M. J. Albizuri

    (Department of Applied Economics IV, Facultad de Ciencias Económicas y Empresariales, University of the Basque Country, Avenida de Lehendakari Agirre, 83, 48015 Bilbao, Spain Final version: June 2001)

Abstract

In this paper we provide a characterization for the modified Banzhaf-Coleman indexes by employing some amalgamation axioms as Lehrer (1988) did for the Banzhaf-Coleman indexes.

Suggested Citation

  • M. J. Albizuri, 2001. "An axiomatization of the modified Banzhaf Coleman index," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 167-176.
    • Handle: RePEc:spr:jogath:v:30:y:2001:i:2:p:167-176
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    Citations

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    Cited by:

    1. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
    2. Nicolas Andjiga & Sebastien Courtin, 2015. "Coalition configurations and share functions," Annals of Operations Research, Springer, vol. 225(1), pages 3-25, February.
    3. Nicolas G. Andjiga & Sébastien Courtin, 2015. "Coalition configurations and share functions," Post-Print hal-00914883, HAL.
    4. Barua, Rana & Chakravarty, Satya R. & Roy, Sonali, 2006. "On the Coleman indices of voting power," European Journal of Operational Research, Elsevier, vol. 171(1), pages 273-289, May.
    5. J. Alonso-Meijide & B. Casas-Méndez & M. Fiestras-Janeiro & M. Holler, 2011. "The Deegan–Packel index for simple games with a priori unions," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(2), pages 425-439, February.
    6. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "The sequential equal surplus division for sharing a river," MPRA Paper 37346, University Library of Munich, Germany.
    7. Silvia Lorenzo-Freire, 2017. "New characterizations of the Owen and Banzhaf–Owen values using the intracoalitional balanced contributions property," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 579-600, October.
    8. Giulia Bernardi, 2018. "A New Axiomatization of the Banzhaf Index for Games with Abstention," Group Decision and Negotiation, Springer, vol. 27(1), pages 165-177, February.
    9. Alonso-Meijide, J.M. & Bilbao, J.M. & Casas-Méndez, B. & Fernández, J.R., 2009. "Weighted multiple majority games with unions: Generating functions and applications to the European Union," European Journal of Operational Research, Elsevier, vol. 198(2), pages 530-544, October.
    10. Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.

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