Optimization of Benefit Allocation in Contracted Water-Saving Projects Based on the Shapley Value Method

Table 4

Description of alliances and characteristic functions.

Alliance	Characteristic function	Feature description
K = (E)	V (E) = 0	The water-saving service enterprises use their own technology to carry out water-saving transformation. The project lacks a construction carrier and financial support, and water-saving service enterprises have no input or output.
K = (C)	V (C)	Colleges use their own funds to carry out water-saving projects.
K = (F)	V (F) = 0	Financial institutions implement water-saving project construction independently; the project lacks construction carriers and financial support and financial institutions have no input or output.
K = (E, F)	V (E, F) = 0	Water-saving service enterprises use their own technology, financial institutions provide financial support, colleges do not participate in the project; the project lacks a construction carrier and water-saving service enterprises have no input or output.
K = (E, C)	V (E, C)	Colleges provide the project implementation environment, water-saving service enterprises provide construction funds and the whole process services, but the budget is limited.
K = (C, F)	V (C, F)	Colleges participate in water-saving transformation, financial institutions provide financial support, but the construction is lacking in specialization.
K = (E, C, F)	V (E, C, F)	Water-saving service enterprises provide a complete set of services from the initial water-saving audit to the successful completion of water-saving projects. Colleges provide corresponding resources and cooperate with water-saving service enterprises to implement projects. Financial institutions provide financial support and the greatest economic benefits.