The Geometry of Solution Concepts for N-Person Cooperative Games

The closed convex polyhedron consisting of all 0-1 normal n-person games with nonempty core is characterized by naming its extreme points. This characterization establishes a geometric setting, in the game space itself, for such solution concepts as the core and the nucleolus. This geometric setting also suggests new solution concepts. A similar geometric setting is also established for the Shapley value, and core and nucleolus solution concepts can be defined in this geometric setting.