{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T20:56:12Z","timestamp":1772312172942,"version":"3.50.1"},"reference-count":98,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,6,15]],"date-time":"2021-06-15T00:00:00Z","timestamp":1623715200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper focuses on the pricing problem of a two-stage closed-loop supply chain (CLSC) considering the cross-channel recycling and channel preference based on a single manufacturer and a single traditional retailer. The pricing decision problem raises from the manufacturer\u2019s direct sales and the retailer\u2019s retailing including recycling. Managers need to focus on intelligible management considering consumer channel preferences, cross-channel recovery and pricing strategies. According to game theory, centralized and decentralized CLSC decision models are used to provide an efficient solution to managers for the pricing problem. The centralized model consists of differential and uniform pricing strategy and the decentralized model consists of manufacturer-led Stackelberg, retailer-led Stackelberg and Nash equilibrium game, respectively. The impact of cross-channel recycling rate and channel preference on pricing and profitability in a two-stage CLSC system is explained elaborately in this study. The results show that cross-channel recovery rates and consumer channel preferences have a direct significant impact on pricing strategies including profit allocation decisions in CLSC. It demonstrated that different channel preferences leading to different pricing strategies and decision for manufacturers and retailers choices. Manufacturer\u2019s pricing decreases when channel preferences are constant and cross-channel recovery rates increase. Retailer\u2019s pricing remains stable as the cross-channel recovery rate has less affected on it. Furthermore, if the cross-channel recovery rates increase, then the manufacturers pricing decreases and retailers pricing increases. This information will be a helpful guideline for the manager to select suitable pricing strategies based on the company scenario.<\/jats:p>","DOI":"10.3390\/axioms10020120","type":"journal-article","created":{"date-parts":[[2021,6,15]],"date-time":"2021-06-15T11:00:33Z","timestamp":1623754833000},"page":"120","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A Two-Stage Closed-Loop Supply Chain Pricing Decision: Cross-Channel Recycling and Channel Preference"],"prefix":"10.3390","volume":"10","author":[{"given":"Wenjun","family":"Pan","sequence":"first","affiliation":[{"name":"School of Business Administration, Huaqiao University, Quanzhou 362018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miao","family":"Lin","sequence":"additional","affiliation":[{"name":"School of Business, Li Ming Vocational University, Quanzhou 362018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/j.ejor.2015.08.020","article-title":"Managing new and remanufactured products to mitigate environmental damage under emissions regulation","volume":"249","author":"Yenipazarli","year":"2016","journal-title":"Eur. J. Oper. Res."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11747-019-00711-4","article-title":"The future of technology and marketing: A multidisciplinary perspective","volume":"48","author":"Grewal","year":"2020","journal-title":"J. Acad. Mark. Sci."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.ejor.2020.10.031","article-title":"The direct and cross effects in a supply chain with consumers sensitive to both carbon emissions and delivery time","volume":"292","author":"He","year":"2021","journal-title":"Eur. J. Oper. Res."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/j.resconrec.2018.10.009","article-title":"A literature review on green supply chain management: Trends and future challenges","volume":"141","author":"Tseng","year":"2019","journal-title":"Resour. Conserv. Recycl."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Zhang, H., Xu, H., and Pu, X. (2020). A Cross-Channel Return Policy in a Green Dual-Channel Supply Chain Considering Spillover Effect. Sustainablity, 12.","DOI":"10.3390\/su12062171"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Murata, K. (2016). Analyzing Environmental Continuous Improvement for Sustainable Supply Chain Management: Focusing on Its Performance and Information Disclosure. Sustainablity, 8.","DOI":"10.3390\/su8121256"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"108102","DOI":"10.1016\/j.ijpe.2021.108102","article-title":"Manufacturer\u2019s encroachment strategy with substitutable green products","volume":"235","author":"Li","year":"2021","journal-title":"Int. J. Prod. Econ."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"2029","DOI":"10.1016\/j.jclepro.2015.05.017","article-title":"Pricing policies of a competitive dual-channel green supply chain","volume":"112","author":"Li","year":"2016","journal-title":"J. Clean. Prod."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Marak, Z.R., and Pillai, D. (2018). Factors, Outcome, and the Solutions of Supply Chain Finance: Review and the Future Directions. J. Risk Financ. Manag., 12.","DOI":"10.3390\/jrfm12010003"},{"key":"ref_10","unstructured":"Levalle, R.R. (2018). Supply Networks BT\u2014Resilience by Teaming in Supply Chains and Networks, Springer."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1109\/TSMCA.2005.859189","article-title":"Design and optimization of integrated E-supply chain for agile and environmentally conscious manufacturing","volume":"36","author":"Dotoli","year":"2005","journal-title":"IEEE Trans. Syst. Man. Cybern. Part A Syst. Hum."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"4267","DOI":"10.1080\/00207540500142316","article-title":"A multi-level approach for network design of integrated supply chains","volume":"43","author":"Dotoli","year":"2005","journal-title":"Int. J. Prod. Res."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1080\/16258312.2014.11517339","article-title":"Study on and Instrument to Assess Knowledge Supply Chain Systems Using Advanced Kaizen Activity in SMEs","volume":"15","author":"Murata","year":"2014","journal-title":"Supply Chain Forum Int. J."},{"key":"ref_14","first-page":"1","article-title":"Supply chain-oriented permutation flowshop scheduling considering flexible assembly and setup times","volume":"58","author":"Ying","year":"2020","journal-title":"Int. J. Prod. Res."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Shi, M., and Yu, W. (2018). Market Reactions to Supply Chain Management Excellence. J. Risk Financ. Manag., 11.","DOI":"10.3390\/jrfm11040062"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Meng, L., Qiang, Q., Huang, Z., Zhang, B., and Yang, Y. (2020). Optimal Pricing Strategy and Government Consumption Subsidy Policy in Closed-Loop Supply Chain with Third-Party Remanufacturer. Sustainability, 12.","DOI":"10.3390\/su12062411"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"2530","DOI":"10.1080\/00036846.2015.1125430","article-title":"The effects of China\u2019s split-share reform on firms\u2019 capital structure choice","volume":"48","author":"Guo","year":"2016","journal-title":"Appl. Econ."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"125609","DOI":"10.1016\/j.jclepro.2020.125609","article-title":"Ramification of remanufacturing in a sustainable three-echelon closed-loop supply chain management for returnable products","volume":"290","author":"Ullah","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Zhang, Z., Zhang, Q., Liu, Z., and Zheng, X. (2018). Static and Dynamic Pricing Strategies in a Closed-Loop Supply Chain with Reference Quality Effects. Sustainability, 10.","DOI":"10.3390\/su10010157"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.jclepro.2015.09.007","article-title":"A Review on Circular Economy: The Expected Transition to a Balanced Interplay of Environmental and Economic Systems","volume":"114","author":"Ghisellini","year":"2016","journal-title":"J. Clean. Prod."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Masi, D., Day, S., and Godsell, J. (2017). Supply Chain Configurations in the Circular Economy: A Systematic Literature Review. Sustainability, 9.","DOI":"10.3390\/su9091602"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Pourhejazy, P., Kwon, O.K., Chang, Y.-T., and Park, H. (2017). Evaluating Resiliency of Supply Chain Network: A Data Envelopment Analysis Approach. Sustainability, 9.","DOI":"10.3390\/su9020255"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.intmar.2010.02.002","article-title":"Crafting Integrated Multichannel Retailing Strategies","volume":"24","author":"Zhang","year":"2010","journal-title":"J. Interact. Mark."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"34","DOI":"10.4018\/jeei.2012100103","article-title":"Towards Digital Economy: The Impact of Electronic Banking on Customer Satisfaction among the Pakistan Banking Industry","volume":"3","author":"Zahid","year":"2012","journal-title":"Int. J. E Entrep. Innov."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.ijpe.2019.03.013","article-title":"Channel structure and pricing in a dual-channel closed-loop supply chain with government subsidy","volume":"213","author":"He","year":"2019","journal-title":"Int. J. Prod. Econ."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Kaoud, E., Abdel-Aal, M., Sakaguchi, T., and Uchiyama, N. (2020). Design and Optimization of the Dual-Channel Closed Loop Supply Chain with E-Commerce. Sustainability, 12.","DOI":"10.3390\/su122310117"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Arshad, M., Khalid, Q.S., Lloret, J., and Leon, A. (2018). An Efficient Approach for Coordination of Dual-Channel Closed-Loop Supply Chain Management. Sustainability, 10.","DOI":"10.3390\/su10103433"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2020\/8855987","article-title":"Decision-Making of a Dual-Channel Closed-Loop Supply Chain in the Context Government Policy: A Dynamic Game Theory","volume":"2020","author":"Zhang","year":"2020","journal-title":"Discret. Dyn. Nat. Soc."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Huang, Y., and Wang, Z. (2017). Dual-Recycling Channel Decision in a Closed-Loop Supply Chain with Cost Disruptions. Sustainability, 9.","DOI":"10.3390\/su9112004"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2373","DOI":"10.3390\/su7032373","article-title":"Retail Services and Pricing Decisions in a Closed-Loop Supply Chain with Remanufacturing","volume":"7","author":"Zhang","year":"2015","journal-title":"Sustainability"},{"key":"ref_31","first-page":"1","article-title":"O2O Recycling Closed-Loop Supply Chain Modeling Based on Classification Process considering Environmental Index","volume":"2020","author":"Miao","year":"2020","journal-title":"Discret. Dyn. Nat. Soc."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"126786","DOI":"10.1016\/j.jclepro.2021.126786","article-title":"Pricing and coordination in a reverse supply chain with online and offline recycling channels: A power perspective","volume":"298","author":"Jin","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Shekarian, E., and Flapper, S. (2021). Analyzing the Structure of Closed-Loop Supply Chains: A Game Theory Perspective. Sustainability, 13.","DOI":"10.3390\/su13031397"},{"key":"ref_34","unstructured":"Ijaz, M.F., Rhee, J., and Jo, M. (2017, January 24\u201326). A Study on Customer\u2019s Attitude in Digital Signage based Online Store. Proceedings of the Korea Institute of Industrial Engineers 2017 Spring Conference, Yeosu, Korea."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Ijaz, M.F., and Rhee, J. (2018). Constituents and Consequences of Online-Shopping in Sustainable E-Business: An Experimental Study of Online-Shopping Malls. Sustainability, 10.","DOI":"10.3390\/su10103756"},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Molinillo, S., Mercad\u00e9-Mel\u00e9, P., and De Noronha, T. (2020). Cause-Related Marketing Influence on Consumer Loyalty in a Medium-Sized City. Sustainability, 12.","DOI":"10.3390\/su12093632"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Strenitzerov\u00e1, M., and Ga\u0148a, J. (2018). Customer Satisfaction and Loyalty as a Part of Customer-Based Corporate Sustainability in the Sector of Mobile Communications Services. Sustainability, 10.","DOI":"10.3390\/su10051657"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Pei, X.-L., Guo, J.-N., Wu, T.-J., Zhou, W.-X., and Yeh, S.-P. (2020). Does the Effect of Customer Experience on Customer Satisfaction Create a Sustainable Competitive Advantage? A Comparative Study of Different Shopping Situations. Sustainability, 12.","DOI":"10.3390\/su12187436"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Hadi, N.U., Aslam, N., and Gulzar, A. (2019). Sustainable Service Quality and Customer Loyalty: The Role of Customer Satisfaction and Switching Costs in the Pakistan Cellphone Industry. Sustainability, 11.","DOI":"10.3390\/su11082408"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/j.jretconser.2010.03.003","article-title":"The role of the Internet on free-riding: An exploratory study of the wallpaper industry","volume":"17","author":"Kucuk","year":"2010","journal-title":"J. Retail. Consum. Serv."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1358","DOI":"10.1111\/poms.12327","article-title":"Competition and Coordination in a Two-Channel Supply Chain","volume":"24","author":"David","year":"2015","journal-title":"Prod. Oper. Manag."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1109\/TEM.2012.2207903","article-title":"Coordinating a Supply Chain with a Manufacturer-Owned Online Channel: A Dual Channel Model Under Price Competition","volume":"60","author":"Ryan","year":"2012","journal-title":"IEEE Trans. Eng. Manag."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1016\/j.ijpe.2012.05.014","article-title":"Pricing policies in a dual-channel supply chain with retail services","volume":"139","author":"Dan","year":"2012","journal-title":"Int. J. Prod. Econ."},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Pourhejazy, P., and Kwon, O.K. (2016). The New Generation of Operations Research Methods in Supply Chain Optimization: A Review. Sustainability, 8.","DOI":"10.3390\/su8101033"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1016\/j.ijpe.2010.04.019","article-title":"Inventory control in a two-echelon dual-channel supply chain with setup of production and delivery","volume":"133","author":"Takahashi","year":"2011","journal-title":"Int. J. Prod. Econ."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/s10479-013-1326-3","article-title":"The impact of customer returns on supply chain decisions under various channel interactions","volume":"206","author":"Chen","year":"2013","journal-title":"Ann. Oper. Res."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1287","DOI":"10.1287\/mnsc.49.10.1287.17315","article-title":"Dynamic Pricing in the Presence of Inventory Considerations: Research Overview, Current Practices, and Future Directions","volume":"49","author":"Elmaghraby","year":"2003","journal-title":"Manag. Sci."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1016\/j.cie.2017.05.006","article-title":"Dynamic vs. static pricing in a supply chain with advertising","volume":"109","author":"Zhang","year":"2017","journal-title":"Comput. Ind. Eng."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"1320","DOI":"10.1287\/opre.2015.1440","article-title":"The Reference Effects on a Retailer\u2019s Dynamic Pricing and Inventory Strategies with Strategic Consumers","volume":"63","author":"Wu","year":"2015","journal-title":"Oper. Res."},{"key":"ref_50","first-page":"1","article-title":"Game Models on Optimal Strategies in a Tourism Dual-Channel Supply Chain","volume":"2016","author":"Yang","year":"2016","journal-title":"Discret. Dyn. Nat. Soc."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/j.omega.2004.04.007","article-title":"Competitive pricing of mixed retail and e-tail distribution channels","volume":"33","author":"Yao","year":"2005","journal-title":"Omega"},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1016\/j.ejor.2006.05.044","article-title":"A supply chain model with direct and retail channels","volume":"187","author":"Dumrongsiri","year":"2008","journal-title":"Eur. J. Oper. Res."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.cie.2011.08.017","article-title":"Pricing and production decisions in dual-channel supply chains with demand disruptions","volume":"62","author":"Huang","year":"2012","journal-title":"Comput. Ind. Eng."},{"key":"ref_54","doi-asserted-by":"crossref","unstructured":"Song, L., Yan, Y., and Yao, F. (2020). Closed-Loop Supply Chain Models Considering Government Subsidy and Corporate Social Responsibility Investment. Sustainability, 12.","DOI":"10.3390\/su12052045"},{"key":"ref_55","first-page":"183","article-title":"Pricing and Production Quantity Decisions in a Supply Chain with Demand-Stimulating Service under Demand Disruptions","volume":"4","author":"Li","year":"2012","journal-title":"Int. J. Adv. Inf. Sci. Serv. Sci."},{"key":"ref_56","doi-asserted-by":"crossref","unstructured":"Su, J., Li, C., Zeng, Q., Yang, J., and Zhang, J. (2019). A Green Closed-Loop Supply Chain Coordination Mechanism Based on Third-Party Recycling. Sustainability, 11.","DOI":"10.3390\/su11195335"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/j.trd.2017.03.008","article-title":"Reverse and closed loop supply chain coordination by considering government role","volume":"52","author":"Heydari","year":"2017","journal-title":"Transp. Res. Part D Transp. Environ."},{"key":"ref_58","doi-asserted-by":"crossref","unstructured":"Whiteside, J., and Dani, S. (2020). Influence of Organisational Culture on Supply Chain Resilience: A Power and Situational Strength Conceptual Perspective. J. Risk Financ. Manag., 13.","DOI":"10.3390\/jrfm13070147"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1080\/24725854.2018.1515515","article-title":"Valuable e-waste: Implications for extended producer responsibility","volume":"51","author":"Esenduran","year":"2019","journal-title":"IISE Trans."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1016\/j.ejor.2008.01.030","article-title":"The impact of customer returns on pricing and order decisions","volume":"195","author":"Chen","year":"2009","journal-title":"Eur. J. Oper. Res."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1016\/j.ejor.2016.07.050","article-title":"Competitive advantage of qualified WEEE recyclers through EPR legislation","volume":"257","author":"Zhou","year":"2017","journal-title":"Eur. J. Oper. Res."},{"key":"ref_62","first-page":"71","article-title":"Design of recycling incentive contracts on closed-loop supply chains and optimization of government subsidized remanufacturing policies","volume":"24","author":"Zhang","year":"2016","journal-title":"China Manag. Sci."},{"key":"ref_63","first-page":"185","article-title":"Research on the strategy of revenue sharing contract mechanism under closed-loop supply chain","volume":"2","author":"Xie","year":"2017","journal-title":"J. Manag. Eng."},{"key":"ref_64","first-page":"169","article-title":"Green supply chain game model and revenue sharing contract considering product greenness","volume":"23","author":"Jiang","year":"2015","journal-title":"China Manag. Sci."},{"key":"ref_65","first-page":"57","article-title":"Research on closed-loop supply chain differential pricing decision based on recovery risk","volume":"28","author":"Meng","year":"2019","journal-title":"Oper. Res. Manag."},{"key":"ref_66","first-page":"147","article-title":"Study on the cooperation model of product recycling in the closed-loop supply chain of remanufacturing","volume":"33","author":"Huang","year":"2019","journal-title":"J. Manag. Eng."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s10700-013-9165-x","article-title":"Stackelberg game models between two competitive retailers in fuzzy decision environment","volume":"13","author":"Liu","year":"2013","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/j.eswa.2018.03.029","article-title":"Pricing, collection, and effort decisions with coordination contracts in a fuzzy, three-level closed-loop supply chain","volume":"104","author":"Alamdar","year":"2018","journal-title":"Expert Syst. Appl."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/j.cie.2018.03.031","article-title":"Modelling intervention policies of government in price-energy saving competition of green supply chains","volume":"119","author":"Hafezalkotob","year":"2018","journal-title":"Comput. Ind. Eng."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1016\/j.jmsy.2015.01.005","article-title":"Competitive closed-loop supply chain network design under uncertainty","volume":"37","author":"Fallah","year":"2015","journal-title":"J. Manuf. Syst."},{"key":"ref_71","first-page":"1","article-title":"Pricing and Warranty Decisions of Substitutable Products for a Fuzzy Two-Echelon Supply Chain","volume":"2017","author":"Wang","year":"2017","journal-title":"Discret. Dyn. Nat. Soc."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"818","DOI":"10.1016\/j.jclepro.2017.08.114","article-title":"Competition and cooperation between supply chains in multi-objective petroleum green supply chain: A game theoretic approach","volume":"170","author":"Moradinasab","year":"2018","journal-title":"J. Clean. Prod."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.cie.2015.01.016","article-title":"Competition of two green and regular supply chains under environmental protection and revenue seeking policies of government","volume":"82","author":"Hafezalkotob","year":"2015","journal-title":"Comput. Ind. Eng."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"1174","DOI":"10.1016\/j.jclepro.2017.02.138","article-title":"Pricing and green level decisions of a green supply chain with governmental interventions under fuzzy uncertainties","volume":"149","author":"Yang","year":"2017","journal-title":"J. Clean. Prod."},{"key":"ref_75","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.ijpe.2012.03.024","article-title":"Impact of government financial intervention on competition among green supply chains","volume":"138","author":"Sheu","year":"2012","journal-title":"Int. J. Prod. Econ."},{"key":"ref_76","first-page":"2534","article-title":"Peer-to-peer financing choice of SME entrepreneurs in the re-emergence of supply chain localization","volume":"27","author":"Hafezalkotob","year":"2019","journal-title":"Int. Trans. Oper. Res."},{"key":"ref_77","first-page":"580","article-title":"Pricing and retail service decisions in fuzzy uncertainty environments","volume":"250","author":"Zhao","year":"2015","journal-title":"Appl. Math. Comput."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1016\/j.cie.2017.12.028","article-title":"Sustainable supply chains under government intervention with a real-world case study: An evolutionary game theoretic approach","volume":"116","author":"Mahmoudi","year":"2018","journal-title":"Comput. Ind. Eng."},{"key":"ref_79","unstructured":"Zou, G., and Ye, Q.M. (2018). Pricing decisions in a two-way two-channel closed-loop supply chain considering equity concerns. J. Syst. Manag., 2."},{"key":"ref_80","doi-asserted-by":"crossref","unstructured":"Beames, A., Claassen, G.D.H., and Akkerman, R. (2021). Logistics in the Circular Economy: Challenges and Opportunities BT-Strategic Decision Making for Sustainable Management of Industrial Networks, Springer.","DOI":"10.1007\/978-3-030-55385-2_1"},{"key":"ref_81","doi-asserted-by":"crossref","unstructured":"Liu, Y., Xia, Z.-J., Shi, Q.-Q., and Xu, Q. (2021). Pricing and coordination of waste electrical and electronic equipment under third-party recycling in a closed-loop supply chain. Environ. Dev. Sustain., 1\u201318.","DOI":"10.1007\/s10668-020-01158-2"},{"key":"ref_82","doi-asserted-by":"crossref","unstructured":"Stritch, J., Bretschneider, S., Darnall, N., Hsueh, L., and Chen, Y. (2020). Sustainability Policy Objectives, Centralized Decision Making, and Efficiency in Public Procurement Processes in U.S. Local Governments. Sustainability, 12.","DOI":"10.3390\/su12176934"},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"123467","DOI":"10.1016\/j.jclepro.2020.123467","article-title":"Optimal production and financing portfolio strategies for a capital-constrained closed-loop supply chain with OEM remanufacturing","volume":"279","author":"Zhang","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_84","doi-asserted-by":"crossref","first-page":"123694","DOI":"10.1016\/j.jclepro.2020.123694","article-title":"Pricing strategies and profit coordination under a double echelon green supply chain","volume":"278","author":"Li","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"102213","DOI":"10.1016\/j.omega.2020.102213","article-title":"Supplier encroachment strategy in the presence of retail strategic inventory: Centralization or decentralization?","volume":"98","author":"Li","year":"2021","journal-title":"Omega"},{"key":"ref_86","first-page":"91","article-title":"Channel structure and differential pricing strategies in dual-channel e-retail considering e-platform business models","volume":"32","author":"Fu","year":"2020","journal-title":"IMA J. Manag. Math."},{"key":"ref_87","doi-asserted-by":"crossref","first-page":"106377","DOI":"10.1016\/j.cie.2020.106377","article-title":"A larger pie or a larger slice? Contract negotiation in a closed-loop supply chain with remanufacturing","volume":"142","author":"Huang","year":"2020","journal-title":"Comput. Ind. Eng."},{"key":"ref_88","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1080\/02331934.2019.1696341","article-title":"Closed-loop supply chain models with product remanufacturing under random demand","volume":"70","author":"Dong","year":"2021","journal-title":"Optimization"},{"key":"ref_89","first-page":"1","article-title":"Pricing and Coordination Mechanism of Supply Chain considering Product Recycling under Asymmetric Power","volume":"2021","author":"Guo","year":"2021","journal-title":"Math. Probl. Eng."},{"key":"ref_90","doi-asserted-by":"crossref","first-page":"126779","DOI":"10.1016\/j.jclepro.2021.126779","article-title":"Decision-making and coordination of green closed-loop supply chain with fairness concern","volume":"298","author":"Jian","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_91","doi-asserted-by":"crossref","unstructured":"Rahimi, M., Hafezalkotob, A., Asian, S., and Mart\u00ednez, L. (2021). Environmental Policy making in Supply Chains under Ambiguity and Competition: A Fuzzy Stackelberg Game Approach. Sustainability, 13.","DOI":"10.3390\/su13042367"},{"key":"ref_92","doi-asserted-by":"crossref","first-page":"108041","DOI":"10.1016\/j.ijpe.2021.108041","article-title":"Contracting green product supply chains considering marketing efforts in the circular economy era","volume":"234","author":"Li","year":"2021","journal-title":"Int. J. Prod. Econ."},{"key":"ref_93","doi-asserted-by":"crossref","first-page":"2518","DOI":"10.1111\/itor.12937","article-title":"Pricing decisions with different time sequences in a cross-border dual-channel supply chain","volume":"28","author":"Chen","year":"2021","journal-title":"Int. Trans. Oper. Res."},{"key":"ref_94","doi-asserted-by":"crossref","first-page":"106995","DOI":"10.1016\/j.cie.2020.106995","article-title":"Store brand introduction and quantity decision under asymmetric cost information in a retailer-led supply chain","volume":"152","author":"Cao","year":"2021","journal-title":"Comput. Ind. Eng."},{"key":"ref_95","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1016\/j.spc.2021.01.037","article-title":"Closed-loop supply chain network with interaction of forward and reverse logistics","volume":"27","author":"Fu","year":"2021","journal-title":"Sustain. Prod. Consum."},{"key":"ref_96","doi-asserted-by":"crossref","first-page":"125356","DOI":"10.1016\/j.jclepro.2020.125356","article-title":"With or without deposit-refund system for a network platform-led electronic closed-loop supply chain","volume":"281","author":"Gong","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_97","doi-asserted-by":"crossref","first-page":"109733","DOI":"10.1016\/j.econlet.2021.109733","article-title":"Patent Nash equilibria in symmetric strictly competitive games","volume":"199","author":"Bahel","year":"2021","journal-title":"Econ. Lett."},{"key":"ref_98","doi-asserted-by":"crossref","unstructured":"Sadana, U., Reddy, P.V., and Zaccour, G. (2021). Nash equilibria in nonzero-sum differential games with impulse control. Eur. J. Oper. Res.","DOI":"10.1016\/j.ejor.2021.03.025"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/10\/2\/120\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:14:23Z","timestamp":1760163263000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/10\/2\/120"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,15]]},"references-count":98,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2021,6]]}},"alternative-id":["axioms10020120"],"URL":"https:\/\/doi.org\/10.3390\/axioms10020120","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,15]]}}}