Shapley Mapping and Its Axiomatizations in n-Person Cooperative Interval Games

Interval games are an extension of cooperative coalitional games, in which players assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval, instead real number. In this paper, we first examine the notion solution mapping, concept applied interval by comparing it with existing called concept. Then, define Shapley mapping as specific form mapping. Finally, is shown that can be characterized two different axiomatizations, both employ game versions standard axioms used traditional analysis such efficiency, symmetry, null player property, additivity and separability.