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The Myerson value for union stable structures

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Abstract

We study cooperation structures with the following property: Given any two feasible coalitions with non-empty intersection, its union is a feasible coalition again. These combinatorial structures have a direct relationship with graph communication situations and conference structures à la Myerson. Characterizations of the Myerson value in this context are provided using the concept of basis for union stable systems. Moreover, TU-games restricted by union stable systems generalizes graph-restricted games and games with permission structures.

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Authors and Affiliations

  1. University of Seville, Escuela Superior de Ingenieros, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain (E-mail: mbilbao@cica.es), ES

    E. Algaba, J. M. Bilbao & J. J. López

  2. Tilburg University, Department of Econometrics and CentER, P.O. Box 90153, 5000 LE Tilburg, The Netherlands (E-mail: P.E.M.Borm@kub.nl), NL

    P. Borm

Authors
  1. E. Algaba
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  2. J. M. Bilbao
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  3. P. Borm
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  4. J. J. López
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Manuscript received: January 2001/Final version received: June 2001

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Algaba, E., Bilbao, J., Borm, P. et al. The Myerson value for union stable structures. Mathematical Methods of OR 54, 359–371 (2001). https://doi.org/10.1007/s001860100159

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  • DOI: https://doi.org/10.1007/s001860100159

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