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Managing social responsibility efforts with the consideration of violation probability

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  • Xu, Jiayan
  • Duan, Housheng
  • Deng, Sijing

Abstract

Corporate social responsibility (CSR) has a strong impact on the external image of the enterprise. The violation of CSR not only harms the enterprise but also negatively affects other firms in the supply chain. This paper establishes a game-theoretical model to study the management of social responsibility efforts with considerations of violation probability. The upstream manufacturer and downstream retailer can reduce the violation probability by exerting CSR efforts. Specifically, we study the following four models, including both participants exerting efforts, only the manufacturer exerting effort, only the retailer exerting effort, and neither participant exerting effort. Our analysis shows that as the effort cost of the manufacturer increases, the retailer may increase or decrease his effort level under both participants exerting efforts, due to the complementary and substitution effects between the efforts of the manufacturer and retailer. We also find that compared with both participants exerting efforts, the retailer may increase or decrease his effort level under only the retailer exerting effort, and the effort level of the manufacturer may grow or shrink under only the manufacturer exerting effort. In addition, we study the decision matrix for the manufacturer and retailer, and find that in equilibrium the manufacturer always has incentives to exert CSR effort, while the retailer may prefer a free ride and sometimes chooses not to exert effort. Interestingly, we find that the total supply chain profit may not be the highest under both participants exerting efforts, but it is the lowest under neither participant exerting effort.

Suggested Citation

  • Xu, Jiayan & Duan, Housheng & Deng, Sijing, 2025. "Managing social responsibility efforts with the consideration of violation probability," European Journal of Operational Research, Elsevier, vol. 323(3), pages 852-867.
  • Handle: RePEc:eee:ejores:v:323:y:2025:i:3:p:852-867
    DOI: 10.1016/j.ejor.2025.01.016
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    as
    1. Bian, Junsong & Liao, Yi & Wang, Yao-Yu & Tao, Feng, 2021. "Analysis of firm CSR strategies," European Journal of Operational Research, Elsevier, vol. 290(3), pages 914-926.
    2. Vasco M Carvalho & Makoto Nirei & Yukiko U Saito & Alireza Tahbaz-Salehi, 2021. "Supply Chain Disruptions: Evidence from the Great East Japan Earthquake," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 136(2), pages 1255-1321.
    3. Pythagoras N. Petratos & Alessio Faccia, 2023. "Fake news, misinformation, disinformation and supply chain risks and disruptions: risk management and resilience using blockchain," Annals of Operations Research, Springer, vol. 327(2), pages 735-762, August.
    4. Salma Karray & Guiomar Martín-Herrán & Simon-Pierre Sigué, 2022. "Cooperative advertising in competing supply chains and the long-term effects of retail advertising," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 73(10), pages 2242-2260, October.
    5. Luo, Chunlin & Zhou, Xiaoyang & Lev, Benjamin, 2022. "Core, shapley value, nucleolus and nash bargaining solution: A Survey of recent developments and applications in operations management," Omega, Elsevier, vol. 110(C).
    6. Nikolay Osadchiy & Vishal Gaur & Sridhar Seshadri, 2016. "Systematic Risk in Supply Chain Networks," Management Science, INFORMS, vol. 62(6), pages 1755-1777, June.
    7. Basak Kalkanci & Erica L. Plambeck, 2020. "Managing Supplier Social and Environmental Impacts with Voluntary Versus Mandatory Disclosure to Investors," Management Science, INFORMS, vol. 66(8), pages 3311-3328, August.
    8. Robert Swinney & Serguei Netessine, 2009. "Long-Term Contracts Under the Threat of Supplier Default," Manufacturing & Service Operations Management, INFORMS, vol. 11(1), pages 109-127, September.
    9. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    10. Şenay Ağca & John R. Birge & Zi'ang Wang & Jing Wu, 2023. "The impact of COVID‐19 on supply chain credit risk," Production and Operations Management, Production and Operations Management Society, vol. 32(12), pages 4088-4113, December.
    11. Volodymyr Babich, 2010. "Independence of Capacity Ordering and Financial Subsidies to Risky Suppliers," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 583-607, September.
    12. Chen, Pingping & Zhao, Ruiqing & Lan, Yanfei, 2022. "E-commerce platform canvassing and service upgrade in an ocean shipping supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    13. Nagarajan, Mahesh & Sosic, Greys, 2008. "Game-theoretic analysis of cooperation among supply chain agents: Review and extensions," European Journal of Operational Research, Elsevier, vol. 187(3), pages 719-745, June.
    14. Choi, Tsan-Ming & Chiu, Chun-Hung, 2012. "Mean-downside-risk and mean-variance newsvendor models: Implications for sustainable fashion retailing," International Journal of Production Economics, Elsevier, vol. 135(2), pages 552-560.
    15. Ruixue Guo & Hau L. Lee & Robert Swinney, 2016. "Responsible Sourcing in Supply Chains," Management Science, INFORMS, vol. 62(9), pages 2722-2744, September.
    16. Jiguang Chen & Qiying Hu & Jing-Sheng Song, 2017. "Supply Chain Models with Mutual Commitments and Implications for Social Responsibility," Production and Operations Management, Production and Operations Management Society, vol. 26(7), pages 1268-1283, July.
    17. Zhibin (Ben) Yang & Göker Aydın & Volodymyr Babich & Damian R. Beil, 2012. "Using a Dual-Sourcing Option in the Presence of Asymmetric Information About Supplier Reliability: Competition vs. Diversification," Manufacturing & Service Operations Management, INFORMS, vol. 14(2), pages 202-217, April.
    18. Erjie Ang & Dan A. Iancu & Robert Swinney, 2017. "Disruption Risk and Optimal Sourcing in Multitier Supply Networks," Management Science, INFORMS, vol. 63(8), pages 2397-2419, August.
    19. Bin Liu & Gangshu (George) Cai & Andy A. Tsay, 2014. "Advertising in Asymmetric Competing Supply Chains," Production and Operations Management, Production and Operations Management Society, vol. 23(11), pages 1845-1858, November.
    20. Li Chen & Hau L. Lee, 2017. "Sourcing Under Supplier Responsibility Risk: The Effects of Certification, Audit, and Contingency Payment," Management Science, INFORMS, vol. 63(9), pages 2795-2812, September.
    21. Zhibin (Ben) Yang & Göker Ayd{i}n & Volodymyr Babich & Damian R. Beil, 2009. "Supply Disruptions, Asymmetric Information, and a Backup Production Option," Management Science, INFORMS, vol. 55(2), pages 192-209, February.
    22. Ana Mauleon & Vincent Vannetelbosch, 2004. "Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers," Theory and Decision, Springer, vol. 56(3), pages 291-324, May.
    23. Engida, Tadesse Getacher & Rao, Xudong & Oude Lansink, Alfons G.J.M., 2020. "A dynamic by-production framework for analyzing inefficiency associated with corporate social responsibility," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1170-1179.
    24. Volodymyr Babich & Apostolos N. Burnetas & Peter H. Ritchken, 2007. "Competition and Diversification Effects in Supply Chains with Supplier Default Risk," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 123-146, October.
    25. Jamalnia, Aboozar & Gong, Yu & Govindan, Kannan & Bourlakis, Michael & Mangla, Sachin Kumar, 2023. "A decision support system for selection and risk management of sustainability governance approaches in multi-tier supply chain," International Journal of Production Economics, Elsevier, vol. 264(C).
    26. Zhixin Chen & Xiang Ji & Mingjun Li & Jingyan Li, 2023. "How corporate social responsibility auditing interacts with supply chain information transparency," Annals of Operations Research, Springer, vol. 329(1), pages 1221-1240, October.
    27. Yan Dong & Kefeng Xu & Yi Xu & Xiang Wan, 2016. "Quality Management in Multi-Level Supply Chains with Outsourced Manufacturing," Production and Operations Management, Production and Operations Management Society, vol. 25(2), pages 290-305, February.
    28. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    29. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    30. Li, Xiang & Qi, Xiangtong & Li, Yongjian, 2021. "On sales effort and pricing decisions under alternative risk criteria," European Journal of Operational Research, Elsevier, vol. 293(2), pages 603-614.
    31. Felipe Caro & Prashant Chintapalli & Kumar Rajaram & Chris S. Tang, 2018. "Improving Supplier Compliance Through Joint and Shared Audits with Collective Penalty," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 363-380, May.
    32. Duan, Housheng & Deng, Sijing & Song, Haiqing & Xu, Jiayan, 2021. "The impacts of sales efforts and mode of payment on the competition between agent and retailer," Omega, Elsevier, vol. 103(C).
    33. Kostas Bimpikis & Ozan Candogan & Shayan Ehsani, 2019. "Supply Disruptions and Optimal Network Structures," Management Science, INFORMS, vol. 65(12), pages 5504-5517, December.
    34. Sunil Chopra & Gilles Reinhardt & Usha Mohan, 2007. "The importance of decoupling recurrent and disruption risks in a supply chain," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 544-555, August.
    35. Yimin Wang & Wendell Gilland & Brian Tomlin, 2010. "Mitigating Supply Risk: Dual Sourcing or Process Improvement?," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 489-510, September.
    36. Soo-Haeng Cho & Xin Fang & Sridhar Tayur & Ying Xu, 2019. "Combating Child Labor: Incentives and Information Disclosure in Global Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 21(3), pages 692-711, July.
    37. Mingzheng Wang & Xin Fang & Zizhuo Wang & Ying-ju Chen, 2023. "Impacts of Distributive Comparison Behavior on Corporate Social Responsibility in Supply Chains: The Role of Small Firms," Manufacturing & Service Operations Management, INFORMS, vol. 25(2), pages 686-703, March.
    38. Lu Huang & Jing-Sheng Song & Robert Swinney, 2022. "Managing Social Responsibility in Multitier Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 24(6), pages 2843-2862, November.
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