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The effect of an uncertain commission rate on the decisions of a capital-constrained developer

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  • Avinadav, Tal
  • Levy, Priel

Abstract

This study investigates a green supply chain consisting of a capital-constrained developer who sells a product via a platform. The parties interact via an agency contract, in which the platform charges a fixed proportion of the revenue gained from each sold unit and the developer receives the remaining sum. Since the development process is relatively protracted, at the early stages of this process, the commission rate to be charged by the platform is random from the developer’s perspective. Upon receiving information about the amount of capital the developer has committed to investing in greenness from his own resources, an external investor offers the developer a loan at a certain interest rate (to further enhance the developer’s investment in greenness), based on which the developer sets the product’s greenness level and selling price. The study provides a game-theoretic analysis of this model and compares its equilibrium solution with the optimal solution of a fully self-financing developer. The innovative feature of the study lies in its comparison between the case of a developer who might not be able to repay the loan, because his revenue from selling the product might be lower than the amount he is required to repay the investor (the loan plus interest), and the case in which it is certain that the developer will be able to repay any debt to the investor. Our study shows that, in the case where the investor takes on the financing risk, the customers benefit from a higher greenness level (albeit at a higher price), resulting in greater demand for the product.

Suggested Citation

  • Avinadav, Tal & Levy, Priel, 2023. "The effect of an uncertain commission rate on the decisions of a capital-constrained developer," Operations Research Perspectives, Elsevier, vol. 11(C).
  • Handle: RePEc:eee:oprepe:v:11:y:2023:i:c:s2214716023000234
    DOI: 10.1016/j.orp.2023.100288
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    as
    1. Zhu, Wenge & He, Yuanjie, 2017. "Green product design in supply chains under competition," European Journal of Operational Research, Elsevier, vol. 258(1), pages 165-180.
    2. Ouardighi, Fouad El & Sim, Jeong Eun & Kim, Bowon, 2016. "Pollution accumulation and abatement policy in a supply chain," European Journal of Operational Research, Elsevier, vol. 248(3), pages 982-996.
    3. S Swami & J Shah, 2013. "Channel coordination in green supply chain management," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(3), pages 336-351, March.
    4. Diwakar Gupta & Yibin Chen, 2020. "Retailer-Direct Financing Contracts Under Consignment," Manufacturing & Service Operations Management, INFORMS, vol. 22(3), pages 528-544, May.
    5. An, Simin & Li, Bo & Song, Dongping & Chen, Xue, 2021. "Green credit financing versus trade credit financing in a supply chain with carbon emission limits," European Journal of Operational Research, Elsevier, vol. 292(1), pages 125-142.
    6. El Ouardighi, Fouad & Pasin, Federico, 2006. "Quality improvement and goodwill accumulation in a dynamic duopoly," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1021-1032, December.
    7. Avinadav, Tal & Chernonog, Tatyana & Fruchter, Gila E. & Prasad, Ashutosh, 2020. "Contract design when quality is co-created in a supply chain," European Journal of Operational Research, Elsevier, vol. 286(3), pages 908-918.
    8. Avinadav, Tal & Levy, Priel, 2022. "Value of information in a mobile app supply chain under hidden or known information superiority," International Journal of Production Economics, Elsevier, vol. 248(C).
    9. Vibhanshu Abhishek & Kinshuk Jerath & Z. John Zhang, 2016. "Agency Selling or Reselling? Channel Structures in Electronic Retailing," Management Science, INFORMS, vol. 62(8), pages 2259-2280, August.
    10. Gong, Daqing & Liu, Shifeng & Liu, Jun & Ren, Long, 2020. "Who benefits from online financing? A sharing economy E-tailing platform perspective," International Journal of Production Economics, Elsevier, vol. 222(C).
    11. Zhang, Qiao & Zhang, Jianxiong & Zaccour, Georges & Tang, Wansheng, 2018. "Strategic technology licensing in a supply chain," European Journal of Operational Research, Elsevier, vol. 267(1), pages 162-175.
    12. Jianxin Chen & Yong-Wu Zhou & Yuanguang Zhong, 2017. "A pricing/ordering model for a dyadic supply chain with buyback guarantee financing and fairness concerns," International Journal of Production Research, Taylor & Francis Journals, vol. 55(18), pages 5287-5304, September.
    13. Avinadav, Tal & Chernonog, Tatyana & Perlman, Yael, 2015. "Consignment contract for mobile apps between a single retailer and competitive developers with different risk attitudes," European Journal of Operational Research, Elsevier, vol. 246(3), pages 949-957.
    14. Wang, Yao-Yu & Wang, Jian-Cai & Shou, Biying, 2013. "Pricing and effort investment for a newsvendor-type product," European Journal of Operational Research, Elsevier, vol. 229(2), pages 422-432.
    15. Bai, Qingguo & Gong, Yeming (Yale) & Jin, Mingzhou & Xu, Xianhao, 2019. "Effects of carbon emission reduction on supply chain coordination with vendor-managed deteriorating product inventory," International Journal of Production Economics, Elsevier, vol. 208(C), pages 83-99.
    16. Chang, Shuhua & Li, Anqi & Wang, Xin & Wang, Xinyu, 2022. "Joint optimization of e-commerce supply chain financing strategy and channel contract," European Journal of Operational Research, Elsevier, vol. 303(2), pages 908-927.
    17. Dash Wu, Desheng & Yang, Lipo & Olson, David L., 2019. "Green supply chain management under capital constraint," International Journal of Production Economics, Elsevier, vol. 215(C), pages 3-10.
    18. Chernonog, Tatyana & Avinadav, Tal, 2014. "Profit criteria involving risk in price setting of virtual products," European Journal of Operational Research, Elsevier, vol. 236(1), pages 351-360.
    19. Gemma Berenguer & Pinar Keskinocak & J. George Shanthikumar & Jayashankar M. Swaminathan & Luk Van Wassenhove & Gemma Berenguer & Qi Feng & Jeyaveerasingam George Shanthikumar & Lei Xu, 2017. "The Effects of Subsidies on Increasing Consumption through For-Profit and Not-For-Profit Newsvendors," Production and Operations Management, Production and Operations Management Society, vol. 26(6), pages 1191-1206, June.
    20. Avinadav, Tal & Chernonog, Tatyana & Meilijson, Isaac & Perlman, Yael, 2022. "A consignment contract with revenue sharing between an app developer and a distribution platform," International Journal of Production Economics, Elsevier, vol. 243(C).
    21. Avinadav, Tal & Chernonog, Tatyana & Perlman, Yael, 2015. "The effect of risk sensitivity on a supply chain of mobile applications under a consignment contract with revenue sharing and quality investment," International Journal of Production Economics, Elsevier, vol. 168(C), pages 31-40.
    22. Liu, Zugang (Leo) & Anderson, Trisha D. & Cruz, Jose M., 2012. "Consumer environmental awareness and competition in two-stage supply chains," European Journal of Operational Research, Elsevier, vol. 218(3), pages 602-613.
    23. Liu, Weihua & Yan, Xiaoyu & Li, Xiang & Wei, Wanying, 2020. "The impacts of market size and data-driven marketing on the sales mode selection in an Internet platform based supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    24. Yongzhao Wang & Xiaojie Sun, 2019. "Dynamic vs. Static Wholesale Pricing Strategies in a Dual-Channel Green Supply Chain," Complexity, Hindawi, vol. 2019, pages 1-14, November.
    25. Tatyana Chernonog, 2021. "Strategic information sharing in online retailing under a consignment contract with revenue sharing," Annals of Operations Research, Springer, vol. 300(2), pages 621-641, May.
    26. Xie, Gang & Yue, Wuyi & Wang, Shouyang & Lai, Kin Keung, 2011. "Quality investment and price decision in a risk-averse supply chain," European Journal of Operational Research, Elsevier, vol. 214(2), pages 403-410, October.
    27. Wang, Chengfu & Fan, Xiaojun & Yin, Zhe, 2019. "Financing online retailers: Bank vs. electronic business platform, equilibrium, and coordinating strategy," European Journal of Operational Research, Elsevier, vol. 276(1), pages 343-356.
    28. Chernonog, Tatyana & Avinadav, Tal & Ben-Zvi, Tal, 2019. "How to set price and quality in a supply chain of virtual products under bi-criteria and risk consideration," International Journal of Production Economics, Elsevier, vol. 209(C), pages 156-163.
    29. Benyong Hu & Chao Meng, 2021. "The effect of risk tolerance in mobile game supply chain pricing and effort decisions," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(10), pages 2301-2316, October.
    30. Jin, Wei & Ding, Wen & Yang, Jun, 2022. "Impact of financial incentives on green manufacturing: Loan guarantee vs. interest subsidy," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1067-1080.
    31. Avinadav, Tal & Chernonog, Tatyana & Ben-Zvi, Tal, 2019. "The effect of information superiority on a supply chain of virtual products," International Journal of Production Economics, Elsevier, vol. 216(C), pages 384-397.
    32. Nelly Bart & Tatyana Chernonog & Tal Avinadav, 2021. "Revenue-sharing contracts in supply chains: a comprehensive literature review," International Journal of Production Research, Taylor & Francis Journals, vol. 59(21), pages 6633-6658, November.
    33. Ghosh, Debabrata & Shah, Janat, 2015. "Supply chain analysis under green sensitive consumer demand and cost sharing contract," International Journal of Production Economics, Elsevier, vol. 164(C), pages 319-329.
    34. Avinadav, Tal & Chernonog, Tatyana & Khmelnitsky, Eugene, 2021. "Revenue-sharing between developers of virtual products and platform distributors," European Journal of Operational Research, Elsevier, vol. 290(3), pages 927-945.
    35. Xu, Song & Fang, Lei, 2020. "Partial credit guarantee and trade credit in an emission-dependent supply chain with capital constraint," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 135(C).
    36. Gurnani, Haresh & Erkoc, Murat & Luo, Yadong, 2007. "Impact of product pricing and timing of investment decisions on supply chain co-opetition," European Journal of Operational Research, Elsevier, vol. 180(1), pages 228-248, July.
    37. Yan, Nina & Sun, Baowen & Zhang, Hui & Liu, Chongqing, 2016. "A partial credit guarantee contract in a capital-constrained supply chain: Financing equilibrium and coordinating strategy," International Journal of Production Economics, Elsevier, vol. 173(C), pages 122-133.
    38. Panos Kouvelis & Wenhui Zhao, 2012. "Financing the Newsvendor: Supplier vs. Bank, and the Structure of Optimal Trade Credit Contracts," Operations Research, INFORMS, vol. 60(3), pages 566-580, June.
    39. El Ouardighi, Fouad & Kim, Bowon, 2010. "Supply quality management with wholesale price and revenue-sharing contracts under horizontal competition," European Journal of Operational Research, Elsevier, vol. 206(2), pages 329-340, October.
    40. Huang, Weixiang & Zhou, Wenhui & Chen, Jiguang & Chen, Xiaohong, 2019. "The government’s optimal subsidy scheme under Manufacturers’ competition of price and product energy efficiency," Omega, Elsevier, vol. 84(C), pages 70-101.
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