{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,26]],"date-time":"2025-12-26T14:27:05Z","timestamp":1766759225364,"version":"3.37.3"},"reference-count":59,"publisher":"EDP Sciences","issue":"5","license":[{"start":{"date-parts":[[2024,10,14]],"date-time":"2024-10-14T00:00:00Z","timestamp":1728864000000},"content-version":"vor","delay-in-days":43,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71771080"],"award-info":[{"award-number":["71771080"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71988101"],"award-info":[{"award-number":["71988101"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Hunan Key Laboratory of intelligent decision-making technology for emergency management","award":["2020TP1013"],"award-info":[{"award-number":["2020TP1013"]}]},{"name":"the Education Department of Shaanxi Provincial Government","award":["19JK0355"],"award-info":[{"award-number":["19JK0355"]}]},{"name":"the Shaanxi Science and Technology Department","award":["2020KRM001"],"award-info":[{"award-number":["2020KRM001"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Oper. Res."],"accepted":{"date-parts":[[2024,7,21]]},"published-print":{"date-parts":[[2024,9]]},"abstract":"<jats:p>With the diversity of shopping styles, reference prices have become a consideration in consumers\u2019 purchasing decisions. It is critical to understand how manufacturers and retailers make optimal decisions based on consumer behavior. To this end, we develop a manufacturer-led Stackelberg (M-Stackelberg) game model to investigate the impact of consumer proportion, reference price effect (RPE), and the channel preference coefficient on the decision of the remanufacturing supply chain (RSC) in dual-channel structures. Through comparing different game scenario models, we find that when the reference price coefficient is relatively small, the optimal decisions for the manufacturer and the retailer are the same regardless of whether the RPE is considered. The manufacturer and E-tailer always benefit from RPE, while the traditional retailer (T-retailer) is uncertain. The numerical analysis revealed that the profits of supply chain members are inversely proportional to the proportion of consumers. The smaller the proportion of primary consumers, the more favorable the supply chain. In particular, the higher the channel preference coefficient, the higher the profits of the manufacturer and E-tailer, while the lower the benefit of the T-retailer. Further, in the dynamic game, the total supply chain profit is highest when the T-retailer prices earlier than the E-tailer.<\/jats:p>","DOI":"10.1051\/ro\/2024148","type":"journal-article","created":{"date-parts":[[2024,7,23]],"date-time":"2024-07-23T12:01:55Z","timestamp":1721736115000},"page":"4437-4475","source":"Crossref","is-referenced-by-count":4,"title":["Models for dual-channel remanufacturing supply chain with reference price effect under static and dynamic games"],"prefix":"10.1051","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5352-4906","authenticated-orcid":false,"given":"Lili","family":"Dai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tong","family":"Shu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanyan","family":"Zheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shouyang","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2024,10,14]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1016\/j.ejor.2009.08.007","volume":"203","author":"Ferrer","year":"2010","journal-title":"Eur. J. Oper. Res."},{"key":"R2","doi-asserted-by":"crossref","first-page":"1731","DOI":"10.1287\/mnsc.1080.0893","volume":"54","author":"Atasu","year":"2008","journal-title":"Manag. Sci."},{"key":"R3","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.ijpe.2019.03.013","volume":"213","author":"He","year":"2019","journal-title":"Int. J. Prod. Econ."},{"key":"R4","doi-asserted-by":"crossref","first-page":"101898","DOI":"10.1016\/j.tre.2020.101898","volume":"136","author":"Xiao","year":"2020","journal-title":"Transp. Res. Part E: Log. Transp. Rev."},{"key":"R5","doi-asserted-by":"crossref","first-page":"102259","DOI":"10.1016\/j.omega.2020.102259","volume":"101","author":"Zhou","year":"2021","journal-title":"Omega-Int. J. Manag. Sci."},{"key":"R6","first-page":"81","volume":"3","author":"Vasudevan","year":"2021","journal-title":"Int. J. Innov. Manag. Technol."},{"key":"R7","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1016\/j.ijpe.2015.08.031","volume":"181","author":"Wang","year":"2016","journal-title":"Int. J. Prod. Econ."},{"key":"R8","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.ijpe.2018.03.017","volume":"200","author":"Ghosh","year":"2018","journal-title":"Int. J. Prod. Econ."},{"key":"R9","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1287\/msom.1050.0080","volume":"7","author":"Ray","year":"2005","journal-title":"M&SOM-Manuf. Serv. Oper. Manag."},{"key":"R10","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1525\/cmr.2010.52.2.56","volume":"52","author":"Atasu","year":"2010","journal-title":"Calif. Manag. Rev."},{"key":"R11","doi-asserted-by":"crossref","first-page":"744","DOI":"10.1111\/poms.12070","volume":"23","author":"Ovchinnikov","year":"2014","journal-title":"Prod. Oper. Manag."},{"key":"R12","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.ejor.2009.12.012","volume":"205","author":"Hua","year":"2010","journal-title":"Eur. J. Oper. Res."},{"key":"R13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.elerap.2016.11.002","volume":"22","author":"Pu","year":"2017","journal-title":"Electron. Commer. Res. Appl."},{"key":"R14","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1016\/j.omega.2013.07.002","volume":"44","author":"Zhang","year":"2014","journal-title":"Omega-Int. J. Manag. Sci."},{"key":"R15","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1080\/01605682.2019.1696154","volume":"72","author":"Wang","year":"2021","journal-title":"J. Oper. Res. Soc."},{"key":"R16","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1177\/002224378902600304","volume":"26","author":"Lattin","year":"1989","journal-title":"J. Mark. Res."},{"key":"R17","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.ejor.2012.10.033","volume":"226","author":"Ma","year":"2013","journal-title":"Eur. J. Oper. Res."},{"key":"R18","doi-asserted-by":"crossref","first-page":"1269","DOI":"10.1051\/ro\/2017003","volume":"51","author":"Jafari","year":"2017","journal-title":"RAIRO:RO"},{"key":"R19","doi-asserted-by":"crossref","first-page":"118315","DOI":"10.1016\/j.eswa.2022.118315","volume":"211","author":"Pal","year":"2023","journal-title":"Expert Syst. Appl."},{"key":"R20","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/j.ijpe.2013.08.002","volume":"146","author":"Choi","year":"2013","journal-title":"Int. J. Prod. Econ."},{"key":"R21","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1111\/j.1540-5915.2012.00394.x","volume":"44","author":"Souza","year":"2013","journal-title":"Decis. Sci."},{"key":"R22","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1016\/j.ejor.2014.07.012","volume":"240","author":"Govindan","year":"2015","journal-title":"Eur. J. Oper. Res."},{"key":"R23","doi-asserted-by":"crossref","first-page":"2185","DOI":"10.1080\/00207543.2016.1141255","volume":"54","author":"Kumar","year":"2016","journal-title":"Int. J. Prod. Res."},{"key":"R24","doi-asserted-by":"crossref","first-page":"1193","DOI":"10.1287\/mnsc.1050.0369","volume":"51","author":"Debo","year":"2005","journal-title":"Manag. Sci."},{"key":"R25","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1111\/poms.12238","volume":"24","author":"Abbey","year":"2015","journal-title":"Prod. Oper. Manag."},{"key":"R26","doi-asserted-by":"crossref","first-page":"107800","DOI":"10.1016\/j.ijpe.2020.107800","volume":"230","author":"Ma","year":"2020","journal-title":"Int. J. Prod. Econ."},{"key":"R27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/mnsc.49.1.1.12749","volume":"49","author":"Chiang","year":"2003","journal-title":"Manag. Sci."},{"key":"R28","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1016\/j.ejor.2006.05.044","volume":"187","author":"Dumrongsiri","year":"2008","journal-title":"Eur. J. Oper. Res."},{"key":"R29","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1016\/j.ijpe.2010.07.029","volume":"128","author":"Almehdawe","year":"2010","journal-title":"Int. J. Prod. Econ."},{"key":"R30","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.omega.2014.11.008","volume":"53","author":"Chen","year":"2015","journal-title":"Omega-Int. J. Manag. Sci."},{"key":"R31","doi-asserted-by":"crossref","first-page":"3510","DOI":"10.1080\/00207543.2017.1304662","volume":"55","author":"Zheng","year":"2017","journal-title":"Int. J. Prod. Res."},{"key":"R32","doi-asserted-by":"crossref","first-page":"102266","DOI":"10.1016\/j.omega.2020.102266","volume":"101","author":"Yang","year":"2021","journal-title":"Omega-Int. J. Manag. Sci."},{"key":"R33","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1016\/j.ejor.2022.02.053","volume":"303","author":"Fan","year":"2022","journal-title":"Eur. J. Oper. Res."},{"key":"R34","first-page":"25","volume":"35","author":"Kumar","year":"2017","journal-title":"NMIMS Manag. Rev."},{"key":"R35","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1287\/mksc.15.1.60","volume":"15","author":"Kopalle","year":"1996","journal-title":"Mark. Sci."},{"key":"R36","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1509\/jmkg.2005.69.4.84","volume":"69","author":"Mazumdar","year":"2005","journal-title":"J. Mark."},{"key":"R37","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1287\/opre.1070.0393","volume":"55","author":"Popescu","year":"2007","journal-title":"Oper. Res."},{"key":"R38","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1016\/j.jretai.2011.10.002","volume":"88","author":"Kopalle","year":"2012","journal-title":"J. Retail."},{"key":"R39","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/j.omega.2012.03.009","volume":"41","author":"Zhang","year":"2013","journal-title":"Omega-Int. J. Manag. Sci."},{"key":"R40","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1016\/j.omega.2015.08.009","volume":"62","author":"Dye","year":"2016","journal-title":"Omega-Int. J. Manag. Sci."},{"key":"R41","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1016\/j.tre.2015.11.002","volume":"85","author":"Lin","year":"2016","journal-title":"Transp. Res. Part E: Log. Transp. Rev."},{"key":"R42","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1287\/opre.2015.1473","volume":"64","author":"Wang","year":"2016","journal-title":"Oper. Res."},{"key":"R43","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1287\/msom.2017.0688","volume":"20","author":"Wang","year":"2018","journal-title":"M&SOM-Manuf. Serv. Oper. Manag."},{"key":"R44","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1016\/j.ejor.2019.06.033","volume":"279","author":"Cao","year":"2019","journal-title":"Eur. J. Oper. Res."},{"key":"R45","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1016\/j.ejor.2016.08.048","volume":"258","author":"Matsui","year":"2017","journal-title":"Eur. J. Oper. Res."},{"key":"R46","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.ijpe.2005.06.001","volume":"103","author":"Yang","year":"2006","journal-title":"Int. J. Prod. Econ."},{"key":"R47","unstructured":"Ingene C.A. and Parry M.E., Mathematical Models of Distribution Channels. Springer (2004)."},{"key":"R48","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1016\/j.ejor.2016.11.016","volume":"259","author":"Chen","year":"2017","journal-title":"Eur. J. Oper. Res."},{"key":"R49","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1287\/mnsc.1030.0186","volume":"50","author":"Savaskan","year":"2004","journal-title":"Manag. Sci."},{"key":"R50","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1086\/259906","volume":"80","author":"Swan","year":"1972","journal-title":"J. Polit. Econ."},{"key":"R51","doi-asserted-by":"crossref","first-page":"2014","DOI":"10.1111\/poms.12587","volume":"25","author":"Luo","year":"2016","journal-title":"Prod. Oper. Manag."},{"key":"R52","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1287\/mnsc.46.4.563.12061","volume":"46","author":"Brynjolfsson","year":"2000","journal-title":"Manag. Sci."},{"key":"R53","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1016\/S0148-2963(01)00274-0","volume":"56","author":"Lee","year":"2003","journal-title":"J. Bus. Res."},{"key":"R54","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1086\/261312","volume":"93","author":"Bulow","year":"1985","journal-title":"J. Polit. Econ."},{"key":"R55","doi-asserted-by":"crossref","first-page":"649","DOI":"10.2307\/2526710","volume":"26","author":"Gal-Or","year":"1985","journal-title":"Int. Econ. Rev."},{"key":"R56","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0899-8256(90)90012-J","volume":"2","author":"Hamilton","year":"1990","journal-title":"Games Econ. Behav."},{"key":"R57","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1006\/game.1998.0687","volume":"28","author":"Van Damme","year":"1999","journal-title":"Games Econ. Behav."},{"key":"R58","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1016\/j.geb.2004.01.003","volume":"47","author":"Van Damme","year":"2004","journal-title":"Games Econ. Behav."},{"key":"R59","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.geb.2005.03.004","volume":"55","author":"Amir","year":"2006","journal-title":"Games Econ. Behav."}],"container-title":["RAIRO - Operations Research"],"original-title":[],"link":[{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2024148\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,14]],"date-time":"2024-10-14T07:55:49Z","timestamp":1728892549000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2024148"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9]]},"references-count":59,"journal-issue":{"issue":"5"},"alternative-id":["ro230199"],"URL":"https:\/\/doi.org\/10.1051\/ro\/2024148","relation":{},"ISSN":["0399-0559","2804-7303"],"issn-type":[{"type":"print","value":"0399-0559"},{"type":"electronic","value":"2804-7303"}],"subject":[],"published":{"date-parts":[[2024,9]]}}}