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Table 1 The sensitivity analysis on parameters (Note that \(M^{j*}\) is in days, \(F^{j}\) is in percentage)

From: Two retailer–supplier supply chain models with default risk under trade credit policy

Parameters Nash game Decision without trade credit Supplier-Stackelberg game \(\frac{{\Pi_{r}^{3} }}{{\Pi_{r}^{0} }}\) \(\frac{{\Pi_{s}^{3} }}{{\Pi_{s}^{0} }}\) \(\frac{{\Pi_{sc}^{3} }}{{\Pi_{sc}^{0} }}\)
\(M^{2*}\) \(F^{2}\) \(D^{2}\) \(\Pi_{r}^{2}\) \(\Pi_{s}^{2}\) \(\Pi_{sc}^{2}\) \(\Pi_{r}^{0}\) \(\Pi_{s}^{0}\) \(\Pi_{sc}^{0}\) \(\Pi_{sc}^{1}\) \(M^{3*}\) \(F^{3}\) \(D^{3}\) \(\Pi_{r}^{3}\) \(\Pi_{s}^{3}\) \(\Pi_{sc}^{3}\)
a                    
1.4 266 19.7 10,001 135,670 50,654 186,324 40,517 37,153 77,670 77,918 266 19.7 10,001 135,670 50,654 186,324 3.349 1.363 2.400
1.2 228 17.1 7606 100,451 43,880 144,331 40,517 37,153 77,670 77,918 234 17.5 7780 103,210 43,889 147,099 2.547 1.181 1.894
1 146 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 156 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
0.8 13 1.1 3707 42,141 37,187 79,328 40,517 37,153 77,670 77,918 28 2.3 3827 43,961 37,199 81,160 1.085 1.001 1.045
0.6 0 0 3600 40,517 37,153 77,670 40,517 37,153 77,670 77,918 0 0 3600 40,517 37,153 77,670 1.000 1.000 1.000
0.4 0 0 3600 40,517 37,153 77,670 40,517 37,153 77,670 77,918 0 0 3600 40,517 37,153 77,670 1.000 1.000 1.000
A                    
16,000 149 11.6 5421 67,885 39,588 107,473 40,517 37,316 77,833 78,148 162 12.4 5606 70,778 39,605 110,382 1.747 1.061 1.418
14,000 149 11.5 5408 67,674 39,514 107,188 40,517 37,277 77,794 78,092 160 12.3 5585 70,450 39,529 109,979 1.739 1.060 1.414
12,000 147 11.4 5390 67,395 39,416 106,811 40,517 37,225 77,742 78,019 158 12.2 5558 70,017 39,430 109,447 1.728 1.059 1.408
10,000 147 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 156 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
8000 143 11.1 5328 66,436 39,077 105,514 40,517 37,044 77,561 77,771 152 11.8 5463 68,543 39,087 107,629 1.692 1.055 1.388
6000 139 10.8 5268 65,503 38,747 104,250 40,517 36,863 77,380 77,535 146 11.3 5372 67,127 38,752 105,879 1.657 1.051 1.368
W                    
29 372 26.3 9962 90,595 75,818 166,412 18,917 58,753 77,670 77,918 373 26.4 10,000 91,081 75,820 166,901 4.815 1.291 2.149
27 302 22 8235 83,902 61,923 145,825 26,117 51,553 77,670 77,918 308 22.4 8372 85,782 61,930 147,711 3.285 1.201 1.902
25 227 17 6706 75,911 49,779 125,690 33,317 44,353 77,670 77,918 235 17.6 6855 78,092 49,788 127,881 2.344 1.123 1.647
23 146 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 155 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
21 56 4.5 4202 57,570 30,316 87,886 47,717 29,953 77,670 77,918 70 5.6 4357 60,137 30,331 90,468 1.260 1.013 1.165
19 0 0 3600 54,917 22,753 77,670 54,917 22,753 77,670 77,918 0 0 3600 54,917 22,753 77,670 1.000 1.000 1.000
b                    
0.4 0 0 3600 40,517 37,153 77,670 40,517 37,153 77,670 77,918 0 0 3600 40,517 37,153 77,670 1.000 1.000 1.000
0.35 64 6 4294 50,689 37,652 88,341 40,517 37,153 77,670 77,918 76 7 4431 52,732 37,665 90,397 1.302 1.014 1.164
0.3 146 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 156 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
0.25 246 15.5 7061 94,095 42,779 136,873 40,517 37,153 77,670 77,918 254 16 7230 96,865 42,788 139,653 2.391 1.152 1.798
0.2 373 18.5 10,000 143,730 49,868 193,598 40,517 37,153 77,670 77,918 373 18.5 10,000 143,730 49,868 193,598 3.547 1.342 2.493
C                    
16 0 0 3600 40,517 22,753 63,270 40,517 22,753 63,270 63,518 0 0 3600 40,517 22,753 63,270 1.000 1.000 1.000
14 1 0.1 3612 40,691 29,956 70,647 40,517 29,953 70,470 70,718 14 1.2 3743 42,579 29,970 72,549 1.051 1.001 1.030
12 146 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 156 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
10 316 22.9 8562 119,074 54,116 173,191 40,517 44,353 84,870 85,118 323 23.3 8722 121,782 54,123 175,905 3.006 1.220 2.073
8 373 26.4 10,000 143,730 75,745 219,475 40,517 51,553 92,070 92,318 373 26.4 10,000 143,730 75,745 219,475 3.547 1.469 2.384
S s                    
400 135 10.5 5212 64,632 38,436 103,069 40,517 36,482 76,999 77,452 151 11.7 5443 68,231 38,464 106,695 1.684 1.054 1.386
350 140 10.9 5288 65,817 38,858 104,675 40,517 36,817 77,334 77,680 153 11.8 5481 68,825 38,877 107,702 1.699 1.056 1.393
300 146 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 156 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
250 150 11.7 5442 68,207 39,701 107,908 40,517 37,488 78,005 78,169 158 12.2 5558 70,017 39,707 109,724 1.728 1.059 1.407
200 156 12 5519 69,412 40,122 109,534 40,517 37,824 78,340 78,434 161 12.4 5596 70,615 40,125 110,740 1.743 1.061 1.414
150 161 12.4 5596 70,624 40,543 111,167 40,517 38,159 78,676 78,716 163 12.6 5634 71,216 40,544 111,759 1.758 1.063 1.421
h s                    
5.5 143 11.1 5332 66,499 39,100 105,599 40,517 37,056 77,573 77,787 153 11.8 5469 68,639 39,109 107,748 1.694 1.055 1.389
5 144 11.2 5348 66,753 39,189 105,942 40,517 37,105 77,621 77,852 154 11.9 5494 69,027 39,200 108,227 1.704 1.057 1.394
4.5 146 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 156 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
4 147 11.4 5381 67,266 39,370 106,636 40,517 37,201 77,718 77,985 158 12.2 5545 69,817 39,383 109,200 1.723 1.059 1.405
3.5 148 11.4 5398 67,525 39,461 106,987 40,517 37,249 77,766 78,053 159 12.3 5570 70,218 39,476 109,694 1.733 1.060 1.411
3 149 11.5 5415 67,786 39,553 107,340 40,517 37,298 77,814 78,122 161 12.4 5596 70,624 39,569 110,194 1.743 1.061 1.416
I s                    
0.14 104 8.2 4785 58,091 38,356 96,447 40,517 37,153 77,670 77,918 114 9 4923 60,196 38,368 98,565 1.486 1.033 1.269
0.12 124 9.7 5053 62,183 38,769 100,952 40,517 37,153 77,670 77,918 134 10.4 5199 64,433 38,781 103,214 1.590 1.044 1.329
0.1 146 11.3 5365 67,010 39,279 106,289 40,517 37,153 77,670 77,918 156 12 5519 69,420 39,291 108,711 1.713 1.058 1.400
0.08 170 13 5733 72,778 39,910 112,688 40,517 37,153 77,670 77,918 180 13.8 5898 75,370 39,921 115,291 1.860 1.075 1.484
0.06 197 14.9 6176 79,790 40,688 120,478 40,517 37,153 77,670 77,918 207 15.7 6350 82,581 40,700 123,280 2.038 1.096 1.587
0.04 228 17.1 6715 88,476 41,655 130,131 40,517 37,153 77,670 77,918 237 17.7 6901 91,484 41,667 133,151 2.258 1.122 1.714
  1. Underline is means the optimal trade credit period is \(M_{\rm max}\)