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A note on the monotonicity and superadditivity of TU cooperative games

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  • Jean-François Caulier

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this note we make a comparison between the class of monotonic TU cooperative games and the class of superadditive TU cooperative games. We first provide the equivalence between a weakening of the class of su- peradditive TU games and zero-monotonic TU games. Then, we show that zero-monotonic TU games and monotonic TU games are different classes. Finally, we show under which restrictions the classes of superadditive and monotonic TU games can be related.

Suggested Citation

  • Jean-François Caulier, 2009. "A note on the monotonicity and superadditivity of TU cooperative games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00633612, HAL.
    • Handle: RePEc:hal:cesptp:hal-00633612
    Note: View the original document on HAL open archive server: https://hal.science/hal-00633612
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