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On the Convenience to Form Coalitions or Partnerships in Simple Games

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  • Francesc Carreras
  • M. Llongueras
  • Antonio Magaña

Abstract

A partnership in a cooperative game is a coalition that possesses an internal structure and, simultaneously, behaves as an individual member. Forming partnerships leads to a modification of the original game which differs from the quotient game that arises when one or more coalitions are actually formed. In this paper, the Shapley value is used to discuss the convenience to form either coalitions or partnerships. To this end, the difference between the additive Shapley value of the partnership in the partnership game and the Shapley alliance value of the coalition, and also between the corresponding value of the internal and external players, are analysed. Simple games are especially considered. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:137:y:2005:i:1:p:67-89:10.1007/s10479-005-2245-8
    DOI: 10.1007/s10479-005-2245-8
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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.
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    Cited by:

    1. J. Alonso-Meijide & B. Casas-Méndez & A. González-Rueda & S. Lorenzo-Freire, 2014. "Axiomatic of the Shapley value of a game 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. 22(2), pages 749-770, July.
    2. Trine Tornøe Platz & Lars Peter Østerdal, 2013. "Forming and Dissolving Partnerships in Cooperative Game Situations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(2), pages 208-228, April.
    3. Francesc Carreras & María Albina Puente, 2015. "Multinomial Probabilistic Values," Group Decision and Negotiation, Springer, vol. 24(6), pages 981-991, November.
    4. M. Llongueras & Antonio Magaña, 2008. "Alliances, partnerships and the Banzhaf semivalue," Annals of Operations Research, Springer, vol. 158(1), pages 63-79, February.

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