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The position value for union stable systems

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  • Algaba, E.
  • Bilbao, J.M.
  • Borm, P.E.M.
  • Lopez, J.J.

    (Tilburg University, Faculty of Economics and Business Administration)

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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Bibliographic Info

Paper provided by Tilburg University, Faculty of Economics and Business Administration in its series Research Memorandum with number 768.

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Date of creation: 1998
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Handle: RePEc:dgr:kubrem:1998768

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Web page: http://www.tilburguniversity.edu/nl/over-tilburg-university/schools/economics-and-management/

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References

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  1. van den Nouweland, Anne & Borm, Peter, 1991. "On the Convexity of Communication Games," International Journal of Game Theory, Springer, vol. 19(4), pages 421-30.
  2. Potters, Jos & Reijnierse, Hans, 1995. "Gamma-Component Additive Games," International Journal of Game Theory, Springer, vol. 24(1), pages 49-56.
  3. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154855, Tilburg University.
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Citations

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Cited by:
  1. Atsushi Kajii & Hiroyuki Kojima & Takashi Ui, 2005. "Cominimum Additive Operators," KIER Working Papers 601, Kyoto University, Institute of Economic Research.
  2. René Brink & Chris Dietz, 2014. "Games with a local permission structure: separation of authority and value generation," Theory and Decision, Springer, vol. 76(3), pages 343-361, March.
  3. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink & Jorge J. Lopez, 2011. "The Myerson Value and Superfluous Supports in Union Stable Systems," Tinbergen Institute Discussion Papers 11-127/1, Tinbergen Institute.
  4. Koshevoy, G.A. & Talman, A.J.J., 2011. "Solution Concepts for Games with General Coalitional Structure (Replaces CentER DP 2011-025)," Discussion Paper 2011-119, Tilburg University, Center for Economic Research.
  5. Bilbao, J.M. & Jimenez, N. & Lopez, J.J., 2006. "A note on a value with incomplete communication," Games and Economic Behavior, Elsevier, vol. 54(2), pages 419-429, February.
  6. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink & Jorge J. Lopez, 2011. "The Myerson Value and Superfluous Supports in Union Stable Systems," Tinbergen Institute Discussion Papers 11-127/1, Tinbergen Institute.
  7. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink, 2011. "Harsanyi Power Solutions for Games on Union Stable Systems," Tinbergen Institute Discussion Papers 11-182/1, Tinbergen Institute.
  8. André Casajus, 2007. "The position value is the Myerson value, in a sense," International Journal of Game Theory, Springer, vol. 36(1), pages 47-55, September.
  9. Encarnación Algaba & René van den Brink, 2013. "Cooperative Games on Accessible Union Stable Systems," Tinbergen Institute Discussion Papers 13-207/II, Tinbergen Institute.
  10. Michel Grabisch & Peter Sudhölter, 2014. "The positive core for games with precedence constraints," Documents de travail du Centre d'Economie de la Sorbonne 14036, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  11. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink, 2011. "Harsanyi Power Solutions for Games on Union Stable Systems," Tinbergen Institute Discussion Papers 11-182/1, Tinbergen Institute.
  12. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.

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