A note on the monotonicity and superadditivity of TU cooperative games

Jean-François Caulier (1)

1 CES - Centre d'économie de la Sorbonne

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.

Mots clés: TU cooperative games; superadditivity; monotonicity

Domaines: Economies et finances

Jean-François Caulier. A note on the monotonicity and superadditivity of TU cooperative games. 2009. ⟨hal-00633612⟩