{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T16:08:46Z","timestamp":1760890126201,"version":"3.37.3"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,8,28]],"date-time":"2020-08-28T00:00:00Z","timestamp":1598572800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002338","name":"Ministry of Education of the People's Republic of China","doi-asserted-by":"publisher","award":["15YJC820007","18ZC1LA008","2015-RC-3"],"award-info":[{"award-number":["15YJC820007","18ZC1LA008","2015-RC-3"]}],"id":[{"id":"10.13039\/501100002338","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science and Technology Program of Gansu Province","award":["15YJC820007","18ZC1LA008","2015-RC-3"],"award-info":[{"award-number":["15YJC820007","18ZC1LA008","2015-RC-3"]}]},{"name":"Talents\u2019 Innovation and Entrepreneurship Project of Lanzhou City","award":["15YJC820007","18ZC1LA008","2015-RC-3"],"award-info":[{"award-number":["15YJC820007","18ZC1LA008","2015-RC-3"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,8,28]]},"abstract":"<jats:p>Based on the oligopoly game theory and the intellectual property rights protection policy, we investigate the complex dynamical behaviors of a mixed duopoly game with quadratic cost. In the new system, a few parameters are improved by considering intellectual property rights protection and the stability conditions of the Nash equilibrium point are discussed in detail. A set of the two-dimensional bifurcation diagrams is demonstrated by using numerical modeling, and these diagrams show abundant complex dynamical behaviors, such as coexistence of attractors, different bifurcation, and fractal structures. These dynamical properties can present the long-run effects of strengthening intellectual property protection.<\/jats:p>","DOI":"10.1155\/2020\/4601510","type":"journal-article","created":{"date-parts":[[2020,8,29]],"date-time":"2020-08-29T00:40:24Z","timestamp":1598661624000},"page":"1-11","source":"Crossref","is-referenced-by-count":5,"title":["Complex Dynamical Behaviors of a Mixed Duopoly Game Based on Intellectual Property Rights Protection"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0200-772X","authenticated-orcid":true,"given":"Tong","family":"Chu","sequence":"first","affiliation":[{"name":"School of Law, Zhejiang University of Finance and Economics, Hangzhou 310018, Zhejiang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Economics, Zhejiang University of Finance and Economics, Hangzhou 310018, Zhejiang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoxue","family":"Wang","sequence":"additional","affiliation":[{"name":"Research Centre of Game Theory and Economics Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.econmod.2014.05.024"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2018.03.001"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3912-4"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127419300313"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/2924169"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.09.004"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/1843792"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2019.123006"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2017.07.016"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2016.02.004"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2017.06.005"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/s0022-1996(02)00090-9"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1257\/000282806776157506"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1257\/0002828043052312"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.japwor.2008.04.003"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.respol.2016.02.006"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1257\/aer.20141482"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jedc.2018.11.009"},{"year":"2015","key":"19"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecosys.2018.03.001"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.econlet.2018.03.017"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2018.02.040"},{"key":"23","first-page":"361","volume-title":"Global analysis of a dynamic duopoly game with bounded rationality","volume":"5","year":"2000"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.promfg.2019.02.324"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.iref.2018.08.020"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1002\/smj.4250140303"},{"issue":"3","key":"27","first-page":"332","volume":"19","year":"2007","journal-title":"Journal of Manufacturing Technology Management"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.technovation.2009.05.005"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.econlet.2010.09.004"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/4601510.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/4601510.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/4601510.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,29]],"date-time":"2020-08-29T00:40:31Z","timestamp":1598661631000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/4601510\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,28]]},"references-count":29,"alternative-id":["4601510","4601510"],"URL":"https:\/\/doi.org\/10.1155\/2020\/4601510","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,8,28]]}}}