Some Properties of Interval Shapley Values: An Axiomatic Analysis

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. This study revisits two game versions Shapley values (i.e., the value and Shapley-like value) characterizes them using axiomatic approach. For value, we show that existing axiomatization can be generalized wider subclass called size monotonic games. standard Young’s strong monotonicity holds on whole class