{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T02:20:43Z","timestamp":1783477243711,"version":"3.55.0"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,8,16]],"date-time":"2022-08-16T00:00:00Z","timestamp":1660608000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,8,16]],"date-time":"2022-08-16T00:00:00Z","timestamp":1660608000000},"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":["41971252"],"award-info":[{"award-number":["41971252"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1007\/s10479-022-04869-z","type":"journal-article","created":{"date-parts":[[2022,8,16]],"date-time":"2022-08-16T10:02:42Z","timestamp":1660644162000},"page":"323-355","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Manufacturer\u2019s R &D cooperation contract: linear fee or revenue-sharing payment in a low-carbon supply chain"],"prefix":"10.1007","volume":"318","author":[{"given":"Jinjin","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7206-1994","authenticated-orcid":false,"given":"Hua","family":"Ke","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuan","family":"Gao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,8,16]]},"reference":[{"issue":"1","key":"4869_CR1","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.jeem.2009.07.002","volume":"59","author":"H Beat","year":"2010","unstructured":"Beat, H. (2010). Allowance price drivers in the first phase of the EU ETS. Journal of Environmental Economics and Management, 59(1), 43\u201356.","journal-title":"Journal of Environmental Economics and Management"},{"issue":"3","key":"4869_CR2","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1287\/msom.2015.0528","volume":"17","author":"T Chen","year":"2015","unstructured":"Chen, T., Klastorin, T., & Wagner, R. M. (2015). Incentive contracts in serial stochastic projects. Manufacturing & Service Operations Management, 17(3), 290\u2013301.","journal-title":"Manufacturing & Service Operations Management"},{"key":"4869_CR3","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1016\/j.tre.2015.11.008","volume":"90","author":"X Chen","year":"2016","unstructured":"Chen, X., & Wang, X. (2016). Effects of carbon emission reduction policies on transporation mode selections with stochastic demand. Transportation Research Part E: Logistics and Transportation Review, 90, 196\u2013205.","journal-title":"Transportation Research Part E: Logistics and Transportation Review"},{"key":"4869_CR4","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1016\/j.ijpe.2019.04.033","volume":"218","author":"X Chen","year":"2019","unstructured":"Chen, X., Wang, X., & Zhou, M. (2019). Firms\u2019 green R &D cooperation behaviour in a supply chain: Technological spillover, power and coordination. International Journal of Production Economics, 218, 118\u2013134.","journal-title":"International Journal of Production Economics"},{"key":"4869_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-020-03621-9","author":"X Chen","year":"2020","unstructured":"Chen, X., Yang, H., Wang, X., & Choi, T. M. (2020). Optimal carbon tax design for achieving low carbon supply chains. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-020-03621-9.","journal-title":"Annals of Operations Research"},{"issue":"6","key":"4869_CR6","doi-asserted-by":"publisher","first-page":"1539","DOI":"10.1287\/opre.1080.0589","volume":"56","author":"P Crama","year":"2008","unstructured":"Crama, P., De Reyck, B., & Degraeve, Z. (2008). Milestone payments or royalties? Contract design for R &D licensing. Operations Research, 56(6), 1539\u20131552.","journal-title":"Operations Research"},{"key":"4869_CR7","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1016\/j.jclepro.2017.04.011","volume":"156","author":"R Dai","year":"2017","unstructured":"Dai, R., Zhang, J., & Tang, W. (2017). Cartelization or cost-sharing? Comparison of cooperation modes in a green supply chain. Journal of Cleaner Production, 156, 159\u2013173.","journal-title":"Journal of Cleaner Production"},{"key":"4869_CR8","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1016\/j.ijindorg.2008.05.001","volume":"27","author":"E Dechenaux","year":"2009","unstructured":"Dechenaux, E., Thursby, M., & Thursby, J. (2009). Shirking, sharing risk and shelving: The role of university license contracts. International Journal of Industrial Organization, 27, 80\u201391.","journal-title":"International Journal of Industrial Organization"},{"key":"4869_CR9","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.tre.2019.09.010","volume":"131","author":"C Dong","year":"2019","unstructured":"Dong, C., Liu, Q., & Shen, B. (2019). To be or not to be green? Strategic investment for green product development in a supply chain. Transportation Research Part E: Logistics and Transportation Review, 131, 193\u2013227.","journal-title":"Transportation Research Part E: Logistics and Transportation Review"},{"key":"4869_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-021-04011-5","author":"G Dong","year":"2021","unstructured":"Dong, G., Liang, L., Wei, L., Xie, J., & Yang, G. (2021). Optimization model of trade credit and asset-based securitization financing in carbon emission reduction supply chain. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-021-04011-5.","journal-title":"Annals of Operations Research"},{"key":"4869_CR11","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/s10479-018-2922-z","volume":"291","author":"S Du","year":"2020","unstructured":"Du, S., Qian, J., Liu, T., & Hu, L. (2020). Emission allowance allocation mechanism design: A low-carbon operations perspective. Annals of Operations Research, 291, 247\u2013280.","journal-title":"Annals of Operations Research"},{"key":"4869_CR12","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1007\/s10479-017-2606-0","volume":"290","author":"S Du","year":"2020","unstructured":"Du, S., Zhu, Y., Zhu, Y., & Tang, W. (2020). Allocation policy considering firm\u2019s time-varying emission reduction in a cap-and-trade system. Annals of Operations Research, 290, 543\u2013565.","journal-title":"Annals of Operations Research"},{"key":"4869_CR13","doi-asserted-by":"publisher","first-page":"2447","DOI":"10.1007\/s00500-018-03727-0","volume":"24","author":"Y Fu","year":"2020","unstructured":"Fu, Y., Chen, Z., Liu, Z., & Yang, S. (2020). A comparison of milestone contract and royalty contract under critical value criterion in R &D alliance. Soft Computing, 24, 2447\u20132462.","journal-title":"Soft Computing"},{"issue":"4","key":"4869_CR14","doi-asserted-by":"publisher","first-page":"599","DOI":"10.1111\/poms.12037","volume":"23","author":"Z Ge","year":"2014","unstructured":"Ge, Z., Hu, Q., & Xia, Y. (2014). Firms\u2019 R &D cooperation behavior in a supply chain. Production and Operations Management, 23(4), 599\u2013609.","journal-title":"Production and Operations Management"},{"key":"4869_CR15","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1016\/j.ijpe.2014.11.005","volume":"164","author":"D Ghosh","year":"2015","unstructured":"Ghosh, D., & Shah, J. (2015). Supply chain analysis under green sensitive consumer demand and cost sharing contract. International Journal of Production Economics, 164, 319\u2013329.","journal-title":"International Journal of Production Economics"},{"issue":"1","key":"4869_CR16","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1080\/00207543.2019.1641239","volume":"58","author":"T Ji","year":"2020","unstructured":"Ji, T., Xu, X., Yan, X., & Yu, Y. (2020). The production decisions and cap setting with wholesale price and revenue sharing contracts under cap-and-trade regulation. International Journal of Production Research, 58(1), 128\u2013147.","journal-title":"International Journal of Production Research"},{"key":"4869_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-021-04152-7","author":"J Li","year":"2021","unstructured":"Li, J., & Lai, K. (2021). The abatement contract for low-carbon demand in supply chain with single and multiple abatement mechanism under asymmetric information. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-021-04152-7.","journal-title":"Annals of Operations Research"},{"key":"4869_CR18","doi-asserted-by":"publisher","first-page":"1462","DOI":"10.1016\/j.jclepro.2018.11.282","volume":"212","author":"T Li","year":"2019","unstructured":"Li, T., Zhang, R., Zhao, S., & Liu, B. (2019). Low carbon strategy analysis under revenue-sharing and cost-sharing contracts. Journal of Cleaner Production, 212, 1462\u20131477.","journal-title":"Journal of Cleaner Production"},{"issue":"2719","key":"4869_CR19","first-page":"1","volume":"11","author":"X Li","year":"2018","unstructured":"Li, X. (2018). Competing retailers\u2019 environmental investment: An analysis under different power structures. Energies, 11(2719), 1\u201318.","journal-title":"Energies"},{"key":"4869_CR20","doi-asserted-by":"publisher","first-page":"7811","DOI":"10.1007\/s00500-019-04399-0","volume":"24","author":"J Liu","year":"2020","unstructured":"Liu, J., & Ke, H. (2020). Firms\u2019 pricing strategies under different decision sequences in dual-format online retailing. Soft Computing, 24, 7811\u20137826.","journal-title":"Soft Computing"},{"issue":"10","key":"4869_CR21","doi-asserted-by":"publisher","first-page":"3062","DOI":"10.1080\/00207543.2020.1745314","volume":"59","author":"J Liu","year":"2021","unstructured":"Liu, J., & Ke, H. (2021). Firms\u2019 preferences for retailing formats considering one manufacturer\u2019s emission reduction investment. International Journal of Production Research, 59(10), 3062\u20133083.","journal-title":"International Journal of Production Research"},{"issue":"3","key":"4869_CR22","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1108\/SCM-11-2015-0422","volume":"22","author":"K Liu","year":"2017","unstructured":"Liu, K., & Song, H. (2017). Contract and incentive mechanism in low-carbon R &D cooperation. Supply Chain Management: An International Journal, 22(3), 270\u2013283.","journal-title":"Supply Chain Management: An International Journal"},{"key":"4869_CR23","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1016\/j.ejor.2016.10.046","volume":"259","author":"Z Luo","year":"2017","unstructured":"Luo, Z., Chen, X., Chen, J., & Wang, X. (2017). Optimal pricing policies for differentiated brands under different supply chain power structures. European Journal of Operational Research, 259, 437\u2013451.","journal-title":"European Journal of Operational Research"},{"key":"4869_CR24","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.omega.2017.06.003","volume":"77","author":"Z Luo","year":"2018","unstructured":"Luo, Z., Chen, X., & Kai, M. (2018). The effect of customer value and power structure on retail supply chain product choice and pricing decisions. Omega, 77, 115\u2013126.","journal-title":"Omega"},{"issue":"2","key":"4869_CR25","doi-asserted-by":"publisher","first-page":"392","DOI":"10.1016\/j.ejor.2016.02.030","volume":"253","author":"Z Luo","year":"2016","unstructured":"Luo, Z., Chen, X., & Wang, X. (2016). The role of co-opetition in low carbon manufacturing. European Journal of Operational Research, 253(2), 392\u2013403.","journal-title":"European Journal of Operational Research"},{"key":"4869_CR26","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/j.ijpe.2018.03.029","volume":"200","author":"X Meng","year":"2018","unstructured":"Meng, X., Yao, Z., Nie, J., Zhao, Y., & Li, Z. (2018). Low-carbon product selection with carbon tax and competition: Effects of the power structure. International Journal of Production Economics, 200, 224\u2013230.","journal-title":"International Journal of Production Economics"},{"issue":"4","key":"4869_CR27","doi-asserted-by":"publisher","first-page":"316","DOI":"10.1080\/19397038.2019.1709105","volume":"13","author":"L Rong","year":"2020","unstructured":"Rong, L., & Xu, M. (2020). Impact of revenue-sharing contracts on green supply chain in manufacturing industry. International Journal of Sustainable Engineering, 13(4), 316\u2013326.","journal-title":"International Journal of Sustainable Engineering"},{"key":"4869_CR28","doi-asserted-by":"publisher","first-page":"101957","DOI":"10.1016\/j.tre.2020.101957","volume":"139","author":"R Tang","year":"2020","unstructured":"Tang, R., & Yang, L. (2020). Impacts of financing mechanism and power structure on supply chains under cap-and-trade regulation. Transportation Research Part E: Logistics and Transportation Review, 139, 101957.","journal-title":"Transportation Research Part E: Logistics and Transportation Review"},{"issue":"4","key":"4869_CR29","doi-asserted-by":"publisher","first-page":"1107","DOI":"10.1080\/00207543.2019.1612963","volume":"58","author":"J Wang","year":"2020","unstructured":"Wang, J., Yan, Y., Du, H., & Zhao, R. (2020). The optimal sales format for green products considering downstream investment. International Journal of Production Research, 58(4), 1107\u20131126.","journal-title":"International Journal of Production Research"},{"key":"4869_CR30","doi-asserted-by":"publisher","first-page":"121996","DOI":"10.1016\/j.jclepro.2020.121996","volume":"266","author":"Y Wang","year":"2020","unstructured":"Wang, Y., & Hou, G. (2020). How sticky information and members attitudes affects the co-innovate carbon emission reduction? Journal of Cleaner Production, 266, 121996.","journal-title":"Journal of Cleaner Production"},{"key":"4869_CR31","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-020-03838-8","author":"L Xia","year":"2021","unstructured":"Xia, L., Bai, Y., Ghose, S., & Qin, J. (2021). Differential game analysis of carbon emissions reduction and promotion in a sustainable supply chain considering social preferences. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-020-03838-8.","journal-title":"Annals of Operations Research"},{"key":"4869_CR32","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1007\/s10479-017-2657-2","volume":"268","author":"L Xia","year":"2018","unstructured":"Xia, L., Guo, T., Qin, X., Juanjuan, Y., & Zhu, N. (2018). Carbon emission reduction and pricing policies of a supply chain considering reciprocal preferences in cap-and-trade system. Annals of Operations Research, 268, 149\u2013175.","journal-title":"Annals of Operations Research"},{"key":"4869_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-021-03930-7","author":"L Xia","year":"2021","unstructured":"Xia, L., Kong, Q., Li, Y., & Qin, J. (2021). Effect of equity holding on a supply chain\u2019s pricing and emission reduction decisions considering information sharing. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-021-03930-7.","journal-title":"Annals of Operations Research"},{"key":"4869_CR34","doi-asserted-by":"publisher","first-page":"1897","DOI":"10.1111\/itor.13033","volume":"29","author":"G Xing","year":"2022","unstructured":"Xing, G., Xia, B., & Guo, J. (2022). Contract choice for upstream innovation in a finance-constrained supply chain. International Transactions in Operational Research, 29, 1897\u20131914.","journal-title":"International Transactions in Operational Research"},{"issue":"20","key":"4869_CR35","doi-asserted-by":"publisher","first-page":"4093","DOI":"10.1016\/j.jclepro.2015.08.081","volume":"112","author":"X Xu","year":"2016","unstructured":"Xu, X., Xu, X., & He, P. (2016). Joint production and pricing decisions for multiple products with cap-and-trade and carbon tax regulations. Journal of Cleaner Production, 112(20), 4093\u20134106.","journal-title":"Journal of Cleaner Production"},{"key":"4869_CR36","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/j.ijpe.2018.11.020","volume":"208","author":"Y Yan","year":"2019","unstructured":"Yan, Y., Zhao, R., & Lan, Y. (2019). Moving sequence preference in coopetition outsourcing supply chain: Consensus or conflict. International Journal of Production Economics, 208, 221\u2013240.","journal-title":"International Journal of Production Economics"},{"key":"4869_CR37","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1016\/j.jclepro.2018.05.038","volume":"193","author":"L Yang","year":"2018","unstructured":"Yang, L., Ji, J., Wang, M., & Wang, Z. (2018). The manufacturer\u2019s joint decisions of channel selections and carbon emission reductions under the cap-and-trade regulation. Journal of Cleaner Production, 193, 506\u2013523.","journal-title":"Journal of Cleaner Production"},{"key":"4869_CR38","doi-asserted-by":"publisher","first-page":"286","DOI":"10.1016\/j.ijpe.2017.06.021","volume":"191","author":"L Yang","year":"2017","unstructured":"Yang, L., Qin, Z., & Ji, J. (2017). Pricing and carbon emission reduction decisions in supply chains with vertical and horizontal cooperation. International Journal of Production Economics, 191, 286\u2013297.","journal-title":"International Journal of Production Economics"},{"issue":"22","key":"4869_CR39","doi-asserted-by":"publisher","first-page":"6775","DOI":"10.1080\/00207543.2019.1685704","volume":"58","author":"M Yu","year":"2020","unstructured":"Yu, M., & Cao, E. (2020). Information sharing format and carbon emission abatement in a supply chain with competition. International Journal of Production Research, 58(22), 6775\u20136790.","journal-title":"International Journal of Production Research"},{"issue":"2","key":"4869_CR40","doi-asserted-by":"publisher","first-page":"740","DOI":"10.1016\/j.ejor.2018.01.053","volume":"268","author":"X Yu","year":"2018","unstructured":"Yu, X., Lan, Y., & Zhao, R. (2018). Cooperation royalty contract design in research and development alliances: Help vs. knowledge-sharing. European Journal of Operational Research, 268(2), 740\u2013754.","journal-title":"European Journal of Operational Research"},{"key":"4869_CR41","doi-asserted-by":"crossref","unstructured":"Yu, X., Lan, Y., & Zhao, R. (2021). Strategic green technology innovation in a two-stage alliance: Vertical collaboration or co-development? Omega, 98, Article ID: 102116.","DOI":"10.1016\/j.omega.2019.102116"},{"key":"4869_CR42","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1016\/j.cie.2019.05.026","volume":"134","author":"S Zhang","year":"2019","unstructured":"Zhang, S., Wang, C., Yu, C., & Ren, Y. (2019). Governmental cap regulation and manufacturer\u2019s low carbon strategy in a supply chain with different power structures. Computers & Industrial Engineering, 134, 27\u201336.","journal-title":"Computers & Industrial Engineering"},{"key":"4869_CR43","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-021-04162-5","author":"YJ Zhang","year":"2021","unstructured":"Zhang, Y. J., Sun, Y. F., & Huo, B. F. (2021). The optimal product pricing and carbon emissions reduction profit allocation of CET-covered enterprises in the cooperative supply chain. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-021-04162-5.","journal-title":"Annals of Operations Research"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-022-04869-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-022-04869-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-022-04869-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,5]],"date-time":"2022-11-05T15:25:12Z","timestamp":1667661912000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-022-04869-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,16]]},"references-count":43,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["4869"],"URL":"https:\/\/doi.org\/10.1007\/s10479-022-04869-z","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,16]]},"assertion":[{"value":"28 June 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 August 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"No potential conflict of interest was reported by the authors.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}