Chaotic Dynamics in Joint Price QoS Game with Heterogeneous Internet Service Providers

<div>Bifurcation diagrams of <svg height="10.2124pt" id="M250" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -6.78297 12.4578 10.2124" width="12.4578pt" 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="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.384,3.132)"><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> with respect to <span class="nowrap"><svg height="8.68572pt" id="M251" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.64656 8.68572" width="8.64656pt" 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="M648 625C638 644 619 665 597 665C518 665 445 585 404 489C377 436 359 379 345 309H340C335 367 324 448 296 515C263 599 214 665 123 665C83 665 33 649 1 632L6 606C19 608 32 609 44 609C124 609 186 567 230 473C270 390 283 308 283 200V122C283 42 274 33 184 27V0H468V27C376 33 368 42 368 122V194C368 293 402 401 461 492C512 573 576 611 629 611C634 611 636 611 642 610L648 625Z"></path></g></svg>.</span></div>

Journal of Computer Networks and Communications

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Figure 15

Figure 15: Chaotic Dynamics in Joint Price QoS Game with Heterogeneous Internet Service Providers 