Optimal Decisions and Government Subsidies with Fairness Concerns and Power Structure in a Closed-loop Supply Chain

Hongying Yin , Meiqi Wu , Yao Feng , Song Huang

Journal of Systems Science and Systems Engineering ›› : 1 -24.

PDF
Journal of Systems Science and Systems Engineering ›› :1 -24. DOI: 10.1007/s11518-026-5740-x
Article
research-article
Optimal Decisions and Government Subsidies with Fairness Concerns and Power Structure in a Closed-loop Supply Chain
Author information +
History +
PDF

Abstract

This paper examines how manufacturers’ fairness concerns and government subsidies affect carbon emission mitigation and operational performance in a closed-loop supply chain. To analyze the effect of power asymmetry, we develop game-theoretic models under three typical supply chain power structures: Manufacturer-led Stackelberg (MS), Retailer-led Stackelberg (RS) and Vertical Nash (VN). Several key findings emerge from the equilibrium analysis. First, optimal emission reduction is achieved in the VN mode under low fairness concerns and in the RS mode under high subsidies. Second, the power structure critically determines the optimal subsidy: higher subsidies are warranted in RS mode, as retailer dominance dampens the manufacturer’s voluntary investment, whereas lower subsidies suffice in MS mode, where manufacturer leadership incentivizes greater investment. Finally, contrary to conventional expectations, a manufacturer’s fairness concerns do not invariably improve its profits. Under MS mode, strong fairness concerns can reduce profits by distorting pricing and investment decisions, as the manufacturer may prioritize equitable distribution over economic optimality. This study offers insights into the interplay of power structures, behavioral preferences, and environmental policies in sustainable closed-loop supply chains.

Keywords

Closed-loop supply chain / fairness concerns / government subsidy / power structure

Cite this article

Download citation ▾
Hongying Yin, Meiqi Wu, Yao Feng, Song Huang. Optimal Decisions and Government Subsidies with Fairness Concerns and Power Structure in a Closed-loop Supply Chain. Journal of Systems Science and Systems Engineering 1-24 DOI:10.1007/s11518-026-5740-x

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Atasu A, Souza G C. How does product recovery affect quality choice?. Production and Operations Management, 2013, 22(4): 991-1010.

[2]

Benjaafar S, Li Y, Daskin M. Carbon footprint and the management of supply chains: Insights from simple models. IEEE Transactions on Automation Science & Engineering, 2013, 10(1): 99-116.

[3]

Bian J, Zhao X. Tax or subsidy? An analysis of environmental policies in supply chains with retail competition. European Journal of Operational Research, 2020, 283(3): 901-914.

[4]

Bilen K, Ozyurt O, Bakirci K. Energy production, consumption, and environmental pollution for sustainable development: A case study in Turkey. Renewable and Sustainable Energy Reviews, 2008, 12(6): 1529-1561.

[5]

Caliskan-Demirag O, Chen Y, Li J. Channel coordination under fairness concerns and nonlinear demand. European Journal of Operational Research, 2010, 207(3): 1321-1326.

[6]

Cao K, Gao Y. Optimal fresh agricultural products private brand introduction and sourcing strategy considering different power structures. Managerial and Decision Economics, 2023, 44(7): 3827-3845.

[7]

Chen J, Zhang H, Sun Y. Implementing coordination contracts in a manufacturer Stackelberg dual-channel supply chain. Omega, 2012, 40(5): 571-583.

[8]

Chen X, Wang X, Zhou M. Firms’ green R&D cooperation behaviour in a supply chain: Technological spillover, power and coordination. International Journal of Production Economics, 2019, 218: 118-134.

[9]

Choi S C. Price competition in a channel retailer. Marketing Science, 1991, 10(24): 271-296.

[10]

Choi T M, Li Y, Xu L. Channel leadership, performance and coordination in closed loop supply chains. International Journal of Production Economics, 2013, 146(1): 371-380.

[11]

Cui T H, Raju J S. Fairness and channel coordination. Management Science, 2007, 53(8): 1303-1314.

[12]

D’Aspremont C, Jacquemin A. Cooperative and noncooperative R&D in duopoly with spillovers. The American Economic Review, 1988, 78(5): 1133-1137

[13]

Dusanee K, Vasileios Z. R&D versus output subsidies in mixed markets. Economics Letters, 2013, 118(2): 293-296.

[14]

Fehr E, Schmidt K M. A theory of fairness, competition, and cooperation. The Quarterly Journal of Economics, 1999, 114(3): 817-868.

[15]

Ferguson M E, Toktay L B. The effect of competition on recovery strategies. Production and Operations Management, 2006, 15(3): 351-368.

[16]

Fogarty J J, Sagerer S. Exploration externalities and government subsidies: The return to government. Resources Policy, 2016, 47: 78-86.

[17]

Giovanni P D. State-and control-dependent incentives in a closed-loop supply chain with dynamic returns. Dynamic Games & Applications, 2016, 6(1): 20-54.

[18]

Govindan K, Soleimani H, Kannan D. Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future. European Journal of Operational Research, 2015, 240(3): 603-626.

[19]

Guan Z, Ye T, Yin R. Channel coordination under Nash bargaining fairness concerns in differential games of goodwill accumulation. European Journal of Operational Research, 2020, 285(3): 916-930.

[20]

He Y, Xu Q Y, Xu B. Supply chain coordination in quality improvement with reference effects. Journal of the Operational Research Society, 2016, 24(8): 71-78

[21]

Ho T H, Su X, Wu Y. Distributional and peer-induced fairness in supply chain contract design. Production and Operations Management, 2014, 23(2): 161-175.

[22]

Hong H I, Ke J S. Determining advanced recycling fees and subsidies in “E-scrap” reverse supply chains. Journal of Environmental Management, 2011, 92(6): 1395-1502.

[23]

Hong Z, Guo X. Green product supply chain contracts considering environmental responsibilities. Omega, 2019, 83: 155-166.

[24]

Huynh C H, So K C, Gurnani H. Managing a closed-loop supply system with random returns and a cyclic delivery schedule. European Journal of Operational Research, 2016, 255(3): 787-796.

[25]

Karakayali I, Emir-Farinas H, Akcali E. An analysis of decentralized collection and processing of end-of-life products. Journal of Operations Management, 2007, 25(6): 1161-1183.

[26]

Katok E, Pavlov V. Fairness in supply chain contracts: A laboratory study. Journal of Operations Management, 2013, 31(2): 129-137.

[27]

Krass D, Nedorezov T, Ovchinnikov A. Environmental taxes and the choice of green technology. Production and Operations Management, 2013, 22(5): 1035-1055.

[28]

Lee S H, Muminov T, Tomaru Y. Partial privatization and subsidization in a mixed duopoly: R&D versus output subsidies. MPRA Paper, 2017, 58(2): 163-177

[29]

Li C, Liu Q, Zhou P. Optimal innovation investment: The role of subsidy schemes and supply chain channel power structure. Computers & Industrial Engineering, 2021, 157: 107291.

[30]

Li Q H, Li B. Dual-channel supply chain equilibrium problems regarding retail services and fairness concerns. Applied Mathematical Modelling, 2016, 40(15–16): 7349-7367.

[31]

Li T, Zhang R, Liu B. Pricing decisions of competing supply chains under power imbalance structures. Computers & Industrial Engineering, 2018, 125: 695-707.

[32]

Liu Z, Anderson T D, Cruz J M. Consumer environmental awareness and competition in two-stage supply chains. European Journal of Operational Research, 2012, 218(3): 602-613.

[33]

Loch C H, Wu Y. Social preferences and supply chain performance: An experimental study. Management Science, 2008, 54(11): 1835-1849.

[34]

Long Q, Tao X, Chen Y. Exploring combined effects of dominance structure, green sensitivity, and green preference on manufacturing closed-loop supply chains. International Journal of Production Economics, 2022, 251: 108537.

[35]

Ma P, Li K, Wang Z. Pricing decisions in closed-loop supply chains with marketing effort and fairness concerns. International Journal of Production Research, 2017, 55(22): 6710-6731.

[36]

Ni D, Li K W. A game-theoretic analysis of social responsibility conduct in two-echelon supply chains. International Journal of Production Economics, 2012, 138(2): 303-313.

[37]

Nie T, Du S. Dual-fairness supply chain with quantity discount contracts. European Journal of Operational Research, 2017, 258(2): 491-500.

[38]

Niu B, Cui Q, Zhang J. Impact of channel power and fairness concern on supplier’s market entry decision. Journal of the Operational Research Society, 2017, 68(12): 1570-1581.

[39]

Panda S, Modak N M, Cárdenas-Barrón L E. Coordinating a socially responsible closed-loop supply chain with product recycling. International Journal of Production Economics, 2017, 188(1): 11-21.

[40]

Pietro D G, Georges Z. A two-period game of a closed-loop supply chain. European Journal of Operational Research, 2014, 232(1): 22-40.

[41]

Sarkar S, Bhala S. Coordinating a closed loop supply chain with fairness concern by a constant wholesale price contract. European Journal of Operational Research, 2021, 295(1): 1-11.

[42]

Savaskan R C, Battacharya S, Wassenhove L N. Closed-loop supply chain models with product remanufacturing. Management Science, 2004, 50(2): 239-252.

[43]

Shi R, Zhang J, Ru J. Impacts of power structure on supply chains with uncertain demand. Production and Operations Management, 2013, 22(5): 1232-1249.

[44]

Wang W, Hao S J, He W, Mohamed M A. Carbon emission reduction decisions in construction supply chain based on differential game with government subsidies. Building and Environment, 2022, 222: 109149.

[45]

Wang Y, Yu Z, Shen L. Study on the decision-making and coordination of an e-commerce supply chain with manufacturer fairness concerns. International Journal of Production Research, 2019, 57(9): 2788-2808.

[46]

Wei J, Govindan K, Li Y. Pricing and collecting decisions in a closed-loop supply chain with symmetric and asymmetric information. Computers & Operations Research, 2015, 54(2): 257-265.

[47]

Xia L, Guo T, Qin J, Yue X, Zhu N. Carbon emission reduction and pricing policies of a supply chain considering reciprocal preferences in cap-and-trade system. Annals of Operations Research, 2018, 268(1–2): 149-175.

[48]

Xu C, Wang C, Huang R. Impacts of horizontal integration on social welfare under the interaction of carbon tax and green subsidies. International Journal of Production Economics, 2020, 222: 107506.

[49]

Yang R, Tang W, Zhang J. Technology improvement strategy for green products under competition: The role of government subsidy. European Journal of Operational Research, 2020, 289(2): 553-568.

[50]

Yang Y, Yao G. Fresh-keeping decision and coordination of fresh agricultural product supply chain considering carbon cap-and-trade under different dominance. Journal of Systems Science and Systems Engineering, 2024, 33(1): 30-51.

[51]

Yu Y, Han X, Hu G. Optimal production for manufacturers considering consumer environmental awareness and green subsidies. International Journal of Production Economics, 2016, 182: 397-408.

[52]

Zhang S, Wang C, Yu C. Governmental cap regulation and manufacturer’s low carbon strategy in a supply chain with different power structures. Computers & Industrial Engineering, 2019, 134: 27-36.

[53]

Zhao S, Zhu Q. Remanufacturing supply chain coordination under the stochastic remanufacturability rate and the random demand. Annals of Operations Research, 2017, 257(1–2): 661-695.

[54]

Zheng B, Yu N, Chu J. Managing sales channel selection for a manufacturer in the presence of remanufacturing. Journal of Systems Science and Systems Engineering, 2021, 30(5): 600-625.

[55]

Zheng M, Shi X, Xia T, Qin W. Production and pricing decisions for new and remanufactured products with customer prejudice and accurate response. Computers & Industrial Engineering, 2021, 157: 107308.

[56]

Zheng X, Liu Z, Li K. Cooperative game approaches to coordinating a three-echelon closed-loop supply chain with fairness concerns. International Journal of Production Economics, 2019, 212: 92-110.

RIGHTS & PERMISSIONS

Systems Engineering Society of China and Springer-Verlag GmbH Germany

PDF

0

Accesses

0

Citation

Detail

Sections
Recommended

/