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Partnership formation and binomial semivalues


  • Carreras, Francesc
  • Llongueras, Maria Dolors
  • Puente, María Albina


Partnership formation in cooperative games is studied, and binomial semivalues are used to measure the effects of such a type of coalition arising from an agreement between (a group of) players. The joint effect on the set of involved players is also compared with that of the alternative alliance formation. The simple game case is especially considered, and the application to a real life example illustrates the use of coalitional values closely related to the binomial semivalues when dealing with partnership formation and coalitional bargaining simultaneously.

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  • Carreras, Francesc & Llongueras, Maria Dolors & Puente, María Albina, 2009. "Partnership formation and binomial semivalues," European Journal of Operational Research, Elsevier, vol. 192(2), pages 487-499, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:2:p:487-499

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    References listed on IDEAS

    1. Francesc Carreras & Josep Freixas, 2002. "Semivalue Versatility and Applications," Annals of Operations Research, Springer, vol. 109(1), pages 343-358, January.
    2. Carreras, Francesc & Freixas, Josep & Puente, Maria Albina, 2003. "Semivalues as power indices," European Journal of Operational Research, Elsevier, vol. 149(3), pages 676-687, September.
    3. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    4. Carreras, Francesc & Freixas, Josep, 1996. "Complete simple games," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 139-155, October.
    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.
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    Cited by:

    1. Carreras, Francesc & Puente, María Albina, 2015. "Coalitional multinomial probabilistic values," European Journal of Operational Research, Elsevier, vol. 245(1), pages 236-246.
    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. Carreras, Francesc & Giménez, José Miguel, 2011. "Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions," European Journal of Operational Research, Elsevier, vol. 211(1), pages 148-159, May.


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