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The position value for union stable systems

Author

Listed:
  • Algaba, A.
  • Bilbao, J.M.
  • Borm, P.E.M.

    (Tilburg University, Faculty of Economics)

  • Lopez, J.

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. Copyright Springer-Verlag Berlin Heidelberg 2000
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Suggested Citation

  • Algaba, A. & Bilbao, J.M. & Borm, P.E.M. & Lopez, J., 1998. "The position value for union stable systems," Research Memorandum FEW 768, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiurem:fa70d57b-042b-42ea-a574-3429604495e6
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    References listed on IDEAS

    as
    1. van de Klundert, T.C.M.J., 1998. "Economic Development in Europe : 1960-1996," Research Memorandum 761, Tilburg University, School of Economics and Management.
    2. van den Nouweland, C.G.A.M. & Borm, P.E.M. & Tijs, S.H., 1992. "Allocation rules for hypergraph communication situations," Other publications TiSEM d662c517-fdc1-45ef-8908-6, Tilburg University, School of Economics and Management.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. van den Nouweland, C.G.A.M. & Borm, P.E.M., 1991. "On the convexity of communication games," Other publications TiSEM e754cb6a-f695-4099-bfbf-c, Tilburg University, School of Economics and Management.
    5. van den Nouweland, C.G.A.M. & Borm, P.E.M. & Tijs, S.H., 1992. "Allocation rules for hypergraph communication situations," Other publications TiSEM b97fb9dd-2acf-470d-b9eb-a, Tilburg University, School of Economics and Management.
    6. Potters, Jos & Reijnierse, Hans, 1995. "Gamma-Component Additive Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(1), pages 49-56.
    7. van den Nouweland, Anne & Borm, Peter & Tijs, Stef, 1992. "Allocation Rules for Hypergraph Communication Situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 255-268.
    8. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
    9. van den Nouweland, Anne & Borm, Peter, 1991. "On the Convexity of Communication Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 421-430.
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