A Biform Game Model with the Shapley Allocation Functions

We define the mixed strategy form of characteristic function biform games and build Shapley allocation (SAF) on each profile in second stage games. SAF provides a more detailed accurate picture fairness strategic contribution reflects degree players’ further choices strategies. can guarantee existence Nash equilibrium first non-cooperative The uniqueness overcome defect that core may be an empty set provide fair method when element is not unique. Moreover, used as important reference or substitute for with confidence index.