ORIGINAL RESEARCH
Research on Cross-Domain Sewage Management Based on Differential Game Theory
			
	
 
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				1
				School of Management and Engineering, Capital University of Economics and Business, 100070, Beijing, China
				 
			 
						
				2
				Management College, Beijing Union University, 100101, Beijing, China
				 
			 
						
				3
				School of Management, Capital Normal University, 100048, Beijing, China
				 
			 
										
				
				
		
		 
			
			
			
			 
			Submission date: 2025-01-11
			 
		 		
		
			
			 
			Final revision date: 2025-03-06
			 
		 		
		
		
			
			 
			Acceptance date: 2025-03-25
			 
		 		
		
			
			 
			Online publication date: 2025-08-14
			 
		 		
		
		 
	
							
															    		
    			 
    			
    				    					Corresponding author
    					    				    				
    					Fulei  Shi   
    					School of Management and Engineering, Capital University of Economics and Business, 100070, Beijing, China
    				
 
    			
				 
    			 
    		 		
			
																	 
		
	 
		
 
 
		
 
 
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ABSTRACT
This study develops a differential game model to examine transboundary water pollution control among the central government, local governments on both riverbanks, and industrial enterprises. It compares cost-sharing and non-cost-sharing scenarios, revealing that cost-sharing enhances pollution control efforts, improves environmental quality, and increases economic and social returns. In contrast, absent cost-sharing, economic competition reduces investment in pollution control, jeopardizing long-term sustainability. The findings emphasize the importance of central government oversight, the role of subsidies in enhancing industrial pollution control, and the need for inter-governmental cooperation to manage regional competition and improve overall governance. The conclusions are supported by numerical analysis, with sensitivity analysis of key parameters.