We provide new characterization results for the value of games in partition function form. In particular, we use the potential of a game to define the value. We also provide a characterization of the class of values which satises one form of reduced game consistency.

We propose a new cost allocation rule for minimum cost spanning tree games. The new rule is a core selection and also satis…es cost monotonicity. We also give characterization theorems for the new rule as well as the much-studied Bird allocation. We show that the principal di¤erence between...