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The position value for union stable systems

Author

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  • E. Algaba
  • J. M. Bilbao
  • P. Borm
  • J. J. López

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

Suggested Citation

  • E. Algaba & J. M. Bilbao & P. Borm & J. J. López, 2000. "The position value for union stable systems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(2), pages 221-236, November.
  • Handle: RePEc:spr:mathme:v:52:y:2000:i:2:p:221-236
    DOI: 10.1007/s001860000060
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    References listed on IDEAS

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    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. Potters, Jos & Reijnierse, Hans, 1995. "Gamma-Component Additive Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(1), pages 49-56.
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