The Owen value for differential cooperative games with a coalition structure

This paper researches differential cooperative games with a coalition structure. To show the payoffs of players, the Owen value for traditional case is extended to the new cooperative model, and its existence and uniqueness are discussed. Furthermore, the relationship between the core and the Owen value is shown. In addition, the sub-game consistency of the Owen value is analyzed that maintains the efficiency of the payoff throughout the game. With the defined characteristic function, it is proved that the Owen value is sub-game consistent. Finally, theoretical results of this paper are applied to solve the problem of cost allocation of environmental governance.