Complementary Product Pricing and Service Cooperation Strategy in a Dual-Channel Supply Chain

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center"><svg height="11.8174pt" id="M211" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 47.9947 11.8174" width="47.9947pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.22,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.072,0)"><path d="M535 230V280H52V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,30.608,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,42.828,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g></svg> Bertrand</td><td class="align_center"><svg height="11.8174pt" id="M212" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 47.9947 11.8174" width="47.9947pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.22,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.072,0)"><path d="M535 230V280H52V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,30.608,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,42.828,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g></svg> Stackelberg</td><td class="align_center"><svg height="11.8174pt" id="M213" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 47.9947 11.8174" width="47.9947pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.22,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.072,0)"><path d="M535 230V280H52V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,30.608,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,42.828,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g></svg> Stackelberg</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left"><span style="width: 24.7924ptpx;"><svg height="15.3027pt" id="M214" style="vertical-align:-5.61638pt" version="1.1" viewbox="-0.0498162 -9.68632 24.7924 15.3027" width="24.7924pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,.007)"><path d="M851 711V739H53V711C135 704 143 693 143 610V-99C143 -182 135 -194 57 -200V-228H325V-200C247 -194 239 -182 239 -99V660C239 688 242 692 273 692H631C658 692 664 689 664 662V-99C664 -182 656 -194 571 -200V-228H848V-200C768 -194 760 -182 760 -99V611C760 693 768 704 851 711Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.796,3.466)"><path d="M1006 650H829L492 147L357 650H174L166 618C270 609 275 601 247 502L194 315C158 189 136 127 122 96C104 56 80 37 18 32L12 0H256L263 32C181 40 176 51 183 98C188 132 197 179 226 281L299 541H301L433 6H458L809 551H811L753 141C739 41 734 39 650 32L642 0H917L923 32C836 39 827 41 839 142L887 535C896 610 901 612 997 618L1006 650Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,20.441,5.567)"><path d="M394 0V37C301 42 295 50 295 122V635C236 613 178 596 109 583V553L165 551C205 549 209 544 209 495V122C209 50 203 42 111 37V0H394Z"></path></g></svg></span></td><td class="align_center">14655</td><td class="align_center"><b>14656</b></td><td class="align_center">14650</td></tr><tr><td class="align_left"><span style="width: 24.7924ptpx;"><svg height="15.3027pt" id="M215" style="vertical-align:-5.61638pt" version="1.1" viewbox="-0.0498162 -9.68632 24.7924 15.3027" width="24.7924pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,.007)"><path d="M851 711V739H53V711C135 704 143 693 143 610V-99C143 -182 135 -194 57 -200V-228H325V-200C247 -194 239 -182 239 -99V660C239 688 242 692 273 692H631C658 692 664 689 664 662V-99C664 -182 656 -194 571 -200V-228H848V-200C768 -194 760 -182 760 -99V611C760 693 768 704 851 711Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.796,3.466)"><path d="M1006 650H829L492 147L357 650H174L166 618C270 609 275 601 247 502L194 315C158 189 136 127 122 96C104 56 80 37 18 32L12 0H256L263 32C181 40 176 51 183 98C188 132 197 179 226 281L299 541H301L433 6H458L809 551H811L753 141C739 41 734 39 650 32L642 0H917L923 32C836 39 827 41 839 142L887 535C896 610 901 612 997 618L1006 650Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,20.441,5.567)"><path d="M452 139L416 148C386 81 373 77 319 77H141L282 220C372 312 414 373 414 464C414 569 332 635 240 635C181 635 132 609 101 574L42 493L70 467C98 506 143 562 209 562C280 562 324 515 324 435C324 347 261 272 197 197C148 139 89 84 34 29V0H417L452 139Z"></path></g></svg></span></td><td class="align_center">12640</td><td class="align_center">12635</td><td class="align_center"><b>12641</b></td></tr><tr><td class="align_left"><span style="width: 18.2031ptpx;"><svg height="13.3115pt" id="M216" style="vertical-align:-3.625179pt" version="1.1" viewbox="-0.0498162 -9.68632 18.2031 13.3115" width="18.2031pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,.007)"><path d="M851 711V739H53V711C135 704 143 693 143 610V-99C143 -182 135 -194 57 -200V-228H325V-200C247 -194 239 -182 239 -99V660C239 688 242 692 273 692H631C658 692 664 689 664 662V-99C664 -182 656 -194 571 -200V-228H848V-200C768 -194 760 -182 760 -99V611C760 693 768 704 851 711Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.796,3.466)"><path d="M636 22C611 29 589 38 560 74C536 104 518 134 495 173L430 300C518 328 592 392 592 492C592 555 563 594 528 618C491 643 435 650 377 650H140L131 618C222 610 223 601 208 518L137 136C121 43 116 40 27 32L18 0H295L300 32C212 40 206 42 223 138L248 279H296C334 279 350 272 369 230C393 174 413 140 441 94C482 24 523 1 626 -8L636 22ZM497 480C497 422 468 374 417 343C387 324 353 315 304 315H255L298 556C303 583 309 598 319 603C331 610 348 613 367 613C448 613 497 573 497 480Z"></path></g></svg></span></td><td class="align_center"><b>7037.6</b></td><td class="align_center">7021.1</td><td class="align_center">6984.4</td></tr><tr><td class="align_left"><span style="width: 22.7976ptpx;"><svg height="13.3297pt" id="M217" style="vertical-align:-3.64338pt" version="1.1" viewbox="-0.0498162 -9.68632 22.7976 13.3297" width="22.7976pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,.007)"><path d="M851 711V739H53V711C135 704 143 693 143 610V-99C143 -182 135 -194 57 -200V-228H325V-200C247 -194 239 -182 239 -99V660C239 688 242 692 273 692H631C658 692 664 689 664 662V-99C664 -182 656 -194 571 -200V-228H848V-200C768 -194 760 -182 760 -99V611C760 693 768 704 851 711Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.796,3.466)"><path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.11,3.466)"><path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z"></path></g></svg></span></td><td class="align_center"><b>34333.6</b></td><td class="align_center">34312.1</td><td class="align_center">34275.4</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Maximum profits of every firm and the total system under different scenarios.</div>

Discrete Dynamics in Nature and Society

tab4

Table 4

Table 4: Complementary Product Pricing and Service Cooperation Strategy in a Dual-Channel Supply Chain 