Skip to main content
SpringerLink
Log in

Coalition Configurations and the Banzhaf Index

  • Original Paper
  • Published:
Social Choice and Welfare Aims and scope Submit manuscript

Abstract

In this paper, we suppose that players join in coalitions and form a coalition configuration, and we provide a generalization of the normalized Banzhaf-Coleman (1965, 1971) index to this framework.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Albizuri MJ (2001) An axiomatization of the modified Banzhaf-Coleman index. Int J Game Theory 30(2):167–176

    Article  Google Scholar 

  • Albizuri MJ, Aurrekoetxea J, Zarzuelo JM (2006) Configuration values: extensions of the coalitional owen value. Games Econ Behav (forthcoming)

  • Amer R, Carreras F, Giménez JM (2002) The modified Banzhaf value for games with coalition structure: an axiomatic characterization. Math Soc Sci 43:45–54

    Article  Google Scholar 

  • Dubey P, Shapley LS (1979) Mathematical properties of the Banzhaf power index. Math Operat Res 4: 99–131

    Article  Google Scholar 

  • Lehrer E (1988) An axiomatization of de Banzhaf value. Int J Game Theory 17: 89–99

    Article  Google Scholar 

  • Owen G (1977). Values of games with a priori unions. In: Henn R, Moschlin O (eds). Lecture notes in Economics and Mathematical systems. Essays in Honor of Oscar Morgenstern. Springer, Berlin Heidelberg Newyork, pp 76–88

    Google Scholar 

  • Owen G (1981). Modification of the Banzhaf-Coleman index for games with a priori unions. In: Holler MJ (eds). Power, voting and voting power. Physica-Verlag, Wurzburg, pp 232–238

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Economics IV, Facultad de Ciencias Económicas y Empresariales, Basque Country University, Avda Lehendakari Agirre, 83, 48015, Bilbao, Spain

    M. Josune Albizuri & Jesus Aurrekoetxea

Authors
  1. M. Josune Albizuri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jesus Aurrekoetxea
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Josune Albizuri.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Albizuri, M.J., Aurrekoetxea, J. Coalition Configurations and the Banzhaf Index. Soc Choice Welfare 26, 571–596 (2006). https://doi.org/10.1007/s00355-006-0102-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00355-006-0102-6

Keywords

Search

Navigation