polytope is the set of all sharing vectors (elements from the unit simplex) such that each node gets at least as much as each …

-free communication structure, it is the solution proposed by Herings, van der Laan and Talman (2008). We introduce the notion of link-convexity …, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link-convexity … is weaker than convexity. For games with a cycle-free communication structure, link-convexity is even weaker than super-additivity. …

The main purpose is to prove the supermodularity (convexity) property of a cooperative game arising from an economical …

is the same. We further give weak forms of convexity that are necessary and sufficient conditions for the core stability …

special case of cycle-completeness, players join one by one, yielding the Shapley value. A weak form of convexity is … condition coincides with convexity and in case the underlying graph is cycle-free it is weaker than super-additivity. …

-free communication structure, it is the solution proposed by Herings, van der Laan and Talman (2008). We introduce the notion of link-convexity …, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link-convexity … is weaker than convexity. For games with a cycle-free communication structure, link-convexity is even weaker than super-additivity. …

-free communication structure, it is the solution proposed by Herings, van der Laan and Talman (2008). We introduce the notion of link-convexity …, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link-convexity … is weaker than convexity. For games with a cycle-free communication structure, link-convexity is even weaker than super-additivity. …

-free communication structure, it is the solution proposed by Herings, van der Laan and Talman (2008). We introduce the notion of link-convexity …, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link-convexity … is weaker than convexity. For games with a cycle-free communication structure, link-convexity is even weaker than super-additivity. …