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The position value for union stable systems

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Abstract.

In this paper, we study the position value for games in which partial cooperation exist, that is based on a union stable coalition system. The concept of basis is introduced for these systems, allowing for a definition of the position value. Moreover, an axiomatic characterization of the position value is provided for a specific class of union stable systems. Conditions under which convexity is inherited from the underlying game to the conference game, and the position value is a core vector of the restricted game are provided.

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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, 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: October 1998

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Algaba, E., Bilbao, J., Borm, P. et al. The position value for union stable systems. Mathematical Methods of OR 52, 221–236 (2000). https://doi.org/10.1007/s001860000060

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  • DOI: https://doi.org/10.1007/s001860000060

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