The Detalization of the Irrational Behavior Proof Condition

Irrational behavior proof condition for single player was introduced in Yeung, 2006. In his paper the generalization off this condition for arbitrary coalitions $S\subset N$ is proposed. The condition is demonstrated on differential cooperative game first considered in Petrosyan and Zaccour, 2003. It is shown that the dynamic Shapley Value computed for this game satisfies also the irrational behavior proof condition for coalitions.