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

Table 1

Different methods used in water-saving management contracts/projects.

No.	Method	Application	References
1	Shapley model	(i) Benefit allocation in water-saving management contracts	[5, 17, 20, 23]
		(ii) The initial benefit allocation scheme of energy-saving guarantee contract energy management projects
		(iii) Obtain the optimal emission reduction decision and profit distribution
		(iv) Benefit allocation of a contracted water-saving management
2	Aumann‒Shapley value	(i) Allocating venture capital to various business departments of the company	[19]
3	Fuzzy Shapley value method	(i) Reallocate the emission rights	[18]
4	Shapley value and intrinsic Shapley value	(i) A characteristic of the Shapley value is the requirement of equal residual distribution in the generalized joint venture game	[22]
5	Game theory	(i) Quantitative decision-making framework for the benefit allocation	[5, 18]
		(ii) Obtain the optimal emission reduction decision and profit distribution