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Green investment, maintenance, and multi-factor dependent demand make the model more sustainable. The global optimization is established theoretically and different propositions are developed. Through numerical experiments, the global optimality is also verified. Some special cases, with a comparative graph, are provided for the validation of these results and to find the best strategy for profit maximization. Finally, some concluding remarks along with future extensions are discussed.<\/jats:p>","DOI":"10.1007\/s40747-022-00874-8","type":"journal-article","created":{"date-parts":[[2022,11,8]],"date-time":"2022-11-08T07:42:39Z","timestamp":1667893359000},"page":"2101-2128","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["A sustainable game strategic supply chain model with multi-factor dependent demand and mark-up under revenue sharing contract"],"prefix":"10.1007","volume":"9","author":[{"given":"Shaktipada","family":"Bhuniya","sequence":"first","affiliation":[]},{"given":"Sarla","family":"Pareek","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6583-8416","authenticated-orcid":false,"given":"Biswajit","family":"Sarkar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,11,8]]},"reference":[{"key":"874_CR1","doi-asserted-by":"publisher","first-page":"129149","DOI":"10.1016\/j.jclepro.2021.129149","volume":"324","author":"M Sarkar","year":"2021","unstructured":"Sarkar M, Seo YW (2021) Renewable energy supply chain management with flexibility and automation in a production system. 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