{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T23:05:18Z","timestamp":1772751918566,"version":"3.50.1"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T00:00:00Z","timestamp":1565049600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T00:00:00Z","timestamp":1565049600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71571131"],"award-info":[{"award-number":["71571131"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Oper Res Int J"],"published-print":{"date-parts":[[2021,12]]},"DOI":"10.1007\/s12351-019-00509-w","type":"journal-article","created":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T07:02:25Z","timestamp":1565074945000},"page":"2261-2282","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Strategies and stability study for a triopoly game considering product recovery based on closed-loop supply chain"],"prefix":"10.1007","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0827-5143","authenticated-orcid":false,"given":"Junhai","family":"Ma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liqing","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yani","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,8,6]]},"reference":[{"key":"509_CR1","unstructured":"China Household Electrical Appliances Research Institute (2016) White paper on recycling and comprehensive utilization of waste electrical and electronic products in China. www.weee-epr.org. Accessed 24 May 2017"},{"issue":"11","key":"509_CR2","doi-asserted-by":"publisher","first-page":"577","DOI":"10.3390\/e19110577","volume":"19","author":"D Dai","year":"2017","unstructured":"Dai D, Si F, Wang J (2017) Stability and complexity analysis of a dual-channel closed-loop supply chain with delayed decision under government intervention. Entropy 19(11):577","journal-title":"Entropy"},{"issue":"1","key":"509_CR3","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/s11071-011-9964-y","volume":"67","author":"J Ding","year":"2012","unstructured":"Ding J, Mei Q, Yao H (2012) Dynamics and adaptive control of a duopoly advertising model based on heterogeneous expectations. Nonlinear Dyn 67(1):129\u2013138","journal-title":"Nonlinear Dyn"},{"issue":"3","key":"509_CR4","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1007\/s12351-015-0213-x","volume":"16","author":"C Fang","year":"2016","unstructured":"Fang C, Liu X, Pei J et al (2016) Optimal production planning in a hybrid manufacturing and recovering system based on the internet of things with closed loop supply chains. Oper Res Int J 16(3):543\u2013577","journal-title":"Oper Res Int J"},{"key":"509_CR5","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.ijpe.2016.08.016","volume":"190","author":"SS Gan","year":"2016","unstructured":"Gan SS, Pujawan IN, Suparno, Widodo B (2016) Pricing decision for new and remanufactured product in a closed-loop supply chain with separate sales-channel. Int J Prod Econ 190:120\u2013132","journal-title":"Int J Prod Econ"},{"key":"509_CR6","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1016\/j.ejor.2018.01.057","volume":"269","author":"TS Genc","year":"2018","unstructured":"Genc TS, De Giovanni P (2018) Optimal return and rebate mechanism in a closed-loop supply Chain game. Eur J Oper Res 269:661\u2013681","journal-title":"Eur J Oper Res"},{"key":"509_CR7","unstructured":"General Office of the State Council (2016) Circular of the General Office of the State Council on the implementation of the extended producer responsibility system. http:\/\/www.gov.cn\/zhengce\/content\/2017-01\/03\/content_5156043.htm. Accessed 2016"},{"issue":"1","key":"509_CR8","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/j.ejor.2012.09.021","volume":"225","author":"P Georgiadis","year":"2013","unstructured":"Georgiadis P, Athanasiou E (2013) Flexible long-term capacity planning in closed-loop supply chains with remanufacturing. Eur J Oper Res 225(1):44\u201358","journal-title":"Eur J Oper Res"},{"issue":"3","key":"509_CR9","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/S0272-6963(02)00110-9","volume":"21","author":"VDR Guide Jr","year":"2003","unstructured":"Guide VDR Jr, Jayarman V, Linton JD (2003) Building contingence planning for closed-loop supply chains with product recovery. J Oper Manag 21(3):259\u2013279","journal-title":"J Oper Manag"},{"issue":"7","key":"509_CR10","doi-asserted-by":"publisher","first-page":"5047","DOI":"10.1016\/j.apm.2012.09.034","volume":"37","author":"YH Guo","year":"2013","unstructured":"Guo YH, Ma JH (2013) Research on game model and complexity of retailer collecting and selling in closed-loop supply chain. Appl Math Model 37(7):5047\u20135058","journal-title":"Appl Math Model"},{"issue":"5","key":"509_CR11","first-page":"66","volume":"14","author":"YH Guo","year":"2011","unstructured":"Guo YH, Ma JH, Wang GH (2011) Modeling and analysis of recycling and remanufacturing systems by using repeated game model. Ind Eng J 14(5):66\u201370","journal-title":"Ind Eng J"},{"issue":"1","key":"509_CR12","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/s12351-016-0258-5","volume":"18","author":"A Gutgutia","year":"2018","unstructured":"Gutgutia A, Jha JK (2018) A closed-form solution for the distribution free continuous review integrated inventory model. Oper Res Int J 18(1):159\u2013186","journal-title":"Oper Res Int J"},{"issue":"3","key":"509_CR13","first-page":"383","volume":"27","author":"CF Jin","year":"2012","unstructured":"Jin CF, Cao EB, Lai MY (2012) Analysis on green marketing strategy of duopoly retailing market based on the evolutionary game theory. J Syst Eng 27(3):383\u2013389","journal-title":"J Syst Eng"},{"issue":"8","key":"509_CR14","first-page":"1983","volume":"35","author":"X Li","year":"2015","unstructured":"Li X, Yibiao W (2015) Differential price closed-loop supply chain under the government replacement-subsidy. Syst Eng Theory Pract 35(8):1983\u20131995","journal-title":"Syst Eng Theory Pract"},{"issue":"23","key":"509_CR15","doi-asserted-by":"publisher","first-page":"5562","DOI":"10.1016\/j.apm.2014.02.027","volume":"38","author":"J Ma","year":"2014","unstructured":"Ma J, Wang H (2014) Complexity analysis of dynamic noncooperative game models for closed-loop supply chain with product recovery. Appl Math Model 38(23):5562\u20135572","journal-title":"Appl Math Model"},{"issue":"2","key":"509_CR16","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/j.ejor.2012.10.033","volume":"226","author":"WM Ma","year":"2013","unstructured":"Ma WM, Zhao Z, Ke H (2013) Dual-channel closed-loop supply chain with government consumption-subsidy. Eur J Oper Res 226(2):221\u2013227","journal-title":"Eur J Oper Res"},{"key":"509_CR17","first-page":"1","volume":"9","author":"J Ma","year":"2018","unstructured":"Ma J et al (2018) Research on the complexity and chaos control about a closed-loop supply chain with dual-channel recycling and uncertain consumer perception. Complexity 9:1\u201313","journal-title":"Complexity"},{"issue":"5","key":"509_CR18","first-page":"16","volume":"2017","author":"Ministry of Commerce","year":"2017","unstructured":"Ministry of Commerce (2017) China regenerated resource recycling industry development report 2017. Resour Regener 2017(5):16\u201325","journal-title":"Resour Regener"},{"issue":"2","key":"509_CR19","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1016\/j.omega.2011.08.011","volume":"41","author":"Q Qiang","year":"2013","unstructured":"Qiang Q, Ke K, Anderson T et al (2013) The closed-loop supply chain network with competition, distribution channel investment, and uncertainties. Omega 41(2):186\u2013194","journal-title":"Omega"},{"key":"509_CR20","unstructured":"Wang Q (2015) A Sino-American comparative research on extended producer responsibility of e-waste management. Central South University of Forestry and Technology"},{"issue":"5","key":"509_CR21","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/s11430-010-4110-0","volume":"19","author":"W Wang","year":"2011","unstructured":"Wang W, Da QL, Nie R (2011) The study on pricing and coordination of closed-loop supply Chain considering channel power structure. Chin J Manag Sci 19(5):29\u201336","journal-title":"Chin J Manag Sci"},{"key":"509_CR22","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1016\/j.cnsns.2016.02.004","volume":"38","author":"L Xie","year":"2016","unstructured":"Xie L, Ma JH (2016) Study the complexity and control of the recycling-supply chain of China\u2019s color TVs market based on the government subsidy. Commun Nonlinear Sci Numer Simul 38:102\u2013116","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"1","key":"509_CR23","first-page":"54","volume":"15","author":"Y Yi","year":"2012","unstructured":"Yi Y, Yuan J (2012) Pricing coordination of closed-loop supply chain in channel conflicts environment. J Manag Sci China 15(1):54\u201365","journal-title":"J Manag Sci China"},{"issue":"4","key":"509_CR24","first-page":"28","volume":"16","author":"XM Zhang","year":"2013","unstructured":"Zhang XM, Zhao M, Dan B (2013) Dynamic competition strategy of duopoly manufacturers with bounded rationality and service differentiation. Ind Eng J 16(4):28\u201332","journal-title":"Ind Eng J"},{"key":"509_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/s12351-016-0273-6","author":"Y Zheng","year":"2016","unstructured":"Zheng Y, Shu T, Wang S et al (2016) Analysis of product return rate and price competition in two supply chains. Oper Res. https:\/\/doi.org\/10.1007\/s12351-016-0273-6","journal-title":"Oper Res"}],"container-title":["Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12351-019-00509-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12351-019-00509-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12351-019-00509-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,22]],"date-time":"2021-10-22T18:22:00Z","timestamp":1634926920000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12351-019-00509-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,6]]},"references-count":25,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2021,12]]}},"alternative-id":["509"],"URL":"https:\/\/doi.org\/10.1007\/s12351-019-00509-w","relation":{},"ISSN":["1109-2858","1866-1505"],"issn-type":[{"value":"1109-2858","type":"print"},{"value":"1866-1505","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,8,6]]},"assertion":[{"value":"25 November 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 July 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 July 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 August 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare no conflict of interest regarding the publication of this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}