The L-Nucleolus and I-Shapley Value for Cooperative Games Under Incomplete Information

Introducing the concerned definition of incomplete cooperative games, an effective model to examine the superadditivity of the games was presented. Based on the criterion for minimizing the deviation of excess and expected excess value, the L-nucleolus was obtained. Constructing the deviation of imputation and ideal vectors, an optimizing program to derive I-Shapley value was also presented for the incomplete cooperative games. The existence and rationality of L-nucleolus and I-Shapley value were discussed.