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Alliances, partnerships and the Banzhaf semivalue

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  • M. Llongueras
  • Antonio Magaña

Abstract

The coordination of strategies in a cooperative game, when some players decide to act together, is the basis of the partnership notion. Nevertheless, in some situations, it may be more convenient to form an effective coalition or alliance. In this work, we consider the Banzhaf semivalue and use it to discuss the convenience to form either partnerships or alliances, especially in simple games. Throughout the paper, some mathematical properties of the Banzhaf semivalue, in relation with the partnership formation, are derived. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • M. Llongueras & Antonio Magaña, 2008. "Alliances, partnerships and the Banzhaf semivalue," Annals of Operations Research, Springer, vol. 158(1), pages 63-79, February.
    • Handle: RePEc:spr:annopr:v:158:y:2008:i:1:p:63-79:10.1007/s10479-007-0245-6
    DOI: 10.1007/s10479-007-0245-6
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    References listed on IDEAS

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    1. Carreras, Francesc, 1996. "On the Existence and Formation of Partnerships," Games and Economic Behavior, Elsevier, vol. 12(1), pages 54-67, January.
    2. 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.
    3. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
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