Singlevalued solutions for the case of twosided market games without product differentiation, also known as B ohmBawerk horse market games, are analyzed. The nucleolus is proved to coincide with the value, and is thus the midpoint of the core. Moreover a characterization of this set of games in...

Different propietats of convex and average convex games are developed in terms of unanimity coordinates. A set of necessary and sufficient conditions for the core of balanced games containing the Shapley value are given. Connections between convexity and average convexity, the Shapley value, the...