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Von Neumann-Morgenstern solution and convex descompositions of TU games

Author

Listed:
  • Francesc Llerena
  • Carles Rafels

    (Universitat de Barcelona)

Abstract

We study under which conditions the core of a game involved in a convex decomposition of another game turns out to be a stable set of the decomposed game. Some applications and numerical examples, including the remarkable Lucas five player game with a unique stable set different from the core, are reckoning and analyzed.

Suggested Citation

  • Francesc Llerena & Carles Rafels, 2010. "Von Neumann-Morgenstern solution and convex descompositions of TU games," Working Papers in Economics 245, Universitat de Barcelona. Espai de Recerca en Economia.
    • Handle: RePEc:bar:bedcje:2010245
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    References listed on IDEAS

    as
    1. Rafels, C. & Tijs, S.H., 1997. "On the cores of cooperative games and the stability of the Weber set," Other publications TiSEM 14435da8-14ce-4845-8e54-4, Tilburg University, School of Economics and Management.
    2. Llerena, Francesc & Rafels, Carles, 2006. "The vector lattice structure of the n-person TU games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 373-379, February.
    3. Bezalel Peleg & Peter Sudhölter, 2007. "Introduction to the Theory of Cooperative Games," Theory and Decision Library C, Springer, edition 0, number 978-3-540-72945-7, March.
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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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