Acta Agriculturae Zhejiangensis ›› 2024, Vol. 36 ›› Issue (4): 881-893.DOI: 10.3969/j.issn.1004-1524.20230171
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													ZHENG Qiaoqiao(
), HU Chenxia(
)
												  
						
						
						
					
				
Received:2023-02-15
															
							
															
							
															
							
																	Online:2024-04-25
															
							
																	Published:2024-04-29
															
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								HU Chenxia   
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ZHENG Qiaoqiao, HU Chenxia. Evolutionary game analysis on multi-subject collaborative governance of agricultural non-point source pollution[J]. Acta Agriculturae Zhejiangensis, 2024, 36(4): 881-893.
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| 策略组合Strategy portfolios | 政府Local governments | 企业Enterprises | 农户Farmers | 
|---|---|---|---|
| 严格监管,生产商品有机肥,替代化肥 Strict supervising, producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgh-Sp-Si+ Re+0.5aFp  |  Sp-0.5Cph-0.5Cpl+ Rp-0.5aFp  |  Si-0.5Cih-0.5Cil+ Rih-0.5aDi  | 
| 严格监管,生产商品有机肥,不替代化肥 Strict supervising, producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgh-Sp+Re+ 0.5aFp  |  Sp-0.5Cph-0.5Cpl+ 0.5Rp-0.5aFp  |  -0.5Cil+Ril-0.5aDi | 
| 严格监管,不生产商品有机肥,替代化肥 Strict supervising, not producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgh+Re+aFp | -Cpl+0.5Rp-aFp | -0.5Cil+Ril-0.5aDi | 
| 严格监管,不生产商品有机肥,不替代化肥 Strict supervising, not producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgh-Ce-Fg+aFp | -Cpl+Rp-aFp | -Cil+Rih-aDi | 
| 宽松监管,生产商品有机肥,替代化肥 Loose supervising, producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgl+Re | -0.5Cph-0.5Cpl+Rp | -0.5Cih-0.5Cil+ Rih-0.5aDi  | 
| 宽松监管,生产商品有机肥,不替代化肥 Loose supervising, producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgl+Re | -0.5Cph-0.5Cpl+0.5Rp | -0.5Cil+Ril-0.5aDi | 
| 宽松监管,不生产商品有机肥,替代化肥 Loose supervising, not producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgl+Re | -Cpl+0.5Rp | -0.5Cil+Ril-0.5aDi | 
| 宽松监管,不生产商品有机肥,不替代化肥 Loose supervising, not producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgl-Ce-Fg | -Cpl+Rp | -Cil+Rih-aDi | 
Table 1 Benefit matrix of the evolutionary game participants
| 策略组合Strategy portfolios | 政府Local governments | 企业Enterprises | 农户Farmers | 
|---|---|---|---|
| 严格监管,生产商品有机肥,替代化肥 Strict supervising, producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgh-Sp-Si+ Re+0.5aFp  |  Sp-0.5Cph-0.5Cpl+ Rp-0.5aFp  |  Si-0.5Cih-0.5Cil+ Rih-0.5aDi  | 
| 严格监管,生产商品有机肥,不替代化肥 Strict supervising, producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgh-Sp+Re+ 0.5aFp  |  Sp-0.5Cph-0.5Cpl+ 0.5Rp-0.5aFp  |  -0.5Cil+Ril-0.5aDi | 
| 严格监管,不生产商品有机肥,替代化肥 Strict supervising, not producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgh+Re+aFp | -Cpl+0.5Rp-aFp | -0.5Cil+Ril-0.5aDi | 
| 严格监管,不生产商品有机肥,不替代化肥 Strict supervising, not producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgh-Ce-Fg+aFp | -Cpl+Rp-aFp | -Cil+Rih-aDi | 
| 宽松监管,生产商品有机肥,替代化肥 Loose supervising, producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgl+Re | -0.5Cph-0.5Cpl+Rp | -0.5Cih-0.5Cil+ Rih-0.5aDi  | 
| 宽松监管,生产商品有机肥,不替代化肥 Loose supervising, producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgl+Re | -0.5Cph-0.5Cpl+0.5Rp | -0.5Cil+Ril-0.5aDi | 
| 宽松监管,不生产商品有机肥,替代化肥 Loose supervising, not producing commercial organic fertilizers, replacing chemical fertilizers  |  -Cgl+Re | -Cpl+0.5Rp | -0.5Cil+Ril-0.5aDi | 
| 宽松监管,不生产商品有机肥,不替代化肥 Loose supervising, not producing commercial organic fertilizers, not replacing chemical fertilizers  |  -Cgl-Ce-Fg | -Cpl+Rp | -Cil+Rih-aDi | 
| 序号 Number  |  均衡点 Equilibrium points  |  特征值 Eigenvalues  |  渐进稳定条件 Conditions of asymptotic stability  | 
|---|---|---|---|
| 1 | (0,0,0) | 情景1 Scenario 1 | |
| 2 | (0,0,1) | 不稳定Instability | |
| 3 | (0,1,0) | 不稳定Instability | |
| 4 | (0,1,1) | 情景2 Scenario 2 | |
| 5 | (1,0,0) | 情景3 Scenario 3 | |
| 6 | (1,0,1) | 不稳定Instability | |
| 7 | (1,1,0) | 不稳定Instability | |
| 8 | (1,1,1) | 不稳定Instability | 
Table 2 Stability analysis of equilibrium points
| 序号 Number  |  均衡点 Equilibrium points  |  特征值 Eigenvalues  |  渐进稳定条件 Conditions of asymptotic stability  | 
|---|---|---|---|
| 1 | (0,0,0) | 情景1 Scenario 1 | |
| 2 | (0,0,1) | 不稳定Instability | |
| 3 | (0,1,0) | 不稳定Instability | |
| 4 | (0,1,1) | 情景2 Scenario 2 | |
| 5 | (1,0,0) | 情景3 Scenario 3 | |
| 6 | (1,0,1) | 不稳定Instability | |
| 7 | (1,1,0) | 不稳定Instability | |
| 8 | (1,1,1) | 不稳定Instability | 
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