Irrational-Behavior-Proof Conditions for Stochastic Games over Event Trees

In this paper, the irrational-behavior-proof conditions in a class of stochastic dynamic games over event trees are presented. Four kinds of irrational-behavior-proof conditions are proposed by the imputation distribution procedure, and their relationships are discussed. More specific properties for the general transformation of characteristic functions are developed, based on which, the irrational-behavior-proof conditions are proved to be true in a transformed cooperative game.