An Evolution Analysis of Collaborative Innovation Network considering Government Subsidies and Supervision

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:5.40em"/><col style="width:2.24em"/><col style="width:2.25em"/><col style="width:2.28em"/><col style="width:2.28em"/><col style="width:4.00em"/><col style="width:4.09em"/></colgroup><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td class="align_left">Parameter</td><td class="align_center"><i>R</i><sub><i>1</i></sub></td><td class="align_center"><i>R</i><sub><i>2</i></sub></td><td class="align_center"><span style="width: 13.1624ptpx;"><svg height="15.2701pt" id="M65" style="vertical-align:-3.834pt" version="1.1" viewbox="-0.0498162 -11.4361 13.1624 15.2701" width="13.1624pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.151,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.086,3.784)"><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></span></td><td class="align_center"><span style="width: 13.1624ptpx;"><svg height="15.2701pt" id="M66" style="vertical-align:-3.834pt" version="1.1" viewbox="-0.0498162 -11.4361 13.1624 15.2701" width="13.1624pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.151,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.086,3.784)"><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></span></td><td class="align_center"><span style="width: 36.6511ptpx;"><svg height="11.9479pt" id="M67" style="vertical-align:-3.181499pt" version="1.1" viewbox="-0.0498162 -8.7664 36.6511 11.9479" width="36.6511pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"><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,-0.013,13.565,0)"><path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.887,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,31.506,3.132)"><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></span></td><td class="align_center"><span style="width: 36.6511ptpx;"><svg height="15.2701pt" id="M68" style="vertical-align:-3.834pt" version="1.1" viewbox="-0.0498162 -11.4361 36.6511 15.2701" width="36.6511pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.684,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.619,3.784)"><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,-0.013,13.565,0)"><path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.887,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,31.571,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,31.506,3.784)"><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></span></td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left">Value</td><td class="align_center">20</td><td class="align_center">15</td><td class="align_center">5</td><td class="align_center">5</td><td class="align_center">3</td><td class="align_center">1.5</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Values of Fixed Parameters in the Payment Matrix.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: An Evolution Analysis of Collaborative Innovation Network considering Government Subsidies and Supervision 