Research on Cost Allocation Problem for Environment Equipments Choice Based on Cooperative Game

Pollution could not be treated via EPE(environmental protection equipment) in most time. It results that manufacturing corporations should not only assume acquisition cost of EPE, but also pay for untreated pollution. Pollution could be treated better with more advanced EPE which cost more meanwhile. This paper considers acquisition cost of EPE and expense on untreated pollution simultaneously to construct a cost allocation game of EPE choose by using of the cooperative game theory, and it is proved that the cost allocation game has non-empty core, subadditivity and also concave in the condition that EPE have large enough abilities to treat pollution. Moreover, core and Shapely value are discussed. Finally, numerical example is given to verify the conclusions presented in this paper.