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Von Neumann-Morgenstern Clutters


  • Stefano Vannucci



A clutter on a set X is a simple hypergraph with pairwise not-comparable hyperedges, hence in particular any set of Von Neumann-Morgenstern (VNM) -stable sets of an irreflexive simple digraph is a clutter. A clutter (X,E) is representable by VNM-stable sets or VNM if there exists an irreflexive simple digraph (X, ?) such that E is a set of VNM-stable sets of (X, ?). The class of VNM clutters on a set X is characterized

Suggested Citation

  • Stefano Vannucci, 2010. "Von Neumann-Morgenstern Clutters," Department of Economics University of Siena 592, Department of Economics, University of Siena.
  • Handle: RePEc:usi:wpaper:592

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    VNM-stable sets; kernels; clutters; Sperner systems;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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