Stackelberg Game Analysis of Green Design and Coordination in a Retailer-Led Supply Chain with Altruistic Preferences

Green design by manufacturers is essential for achieving supply chain sustainability, and large retailers may exhibit altruistic preferences to incentivize such efforts. Accordingly, this study develops three game-theoretic models of a two-echelon supply chain composed of a manufacturer and a dominant retailer, with and without altruistic preferences, to examine how altruism and green design affect firms’ optimal decisions and environmental impact. In addition, two coordination mechanisms—green design cost-sharing and two-part tariff contracts—are proposed under altruistic preferences. We find that the dominant retailer’s altruistic preference can motivate the manufacturer to improve the green design level and increase system profit. Although the dominant retailer has altruistic preference, they cannot always lower the total environmental impact of products, so it is helpful to motivate the manufacturer to reduce the environmental adverse impact by increasing investments in green design. Both the two contracts designed in this paper can achieve incentive compatibility and perfect coordination of supply chain. However, with the retailer’s altruistic preference enhancement, the feasible range of the two contracts will be reduced.

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Publication Details

Journal
Mathematics
Published
2025-09-25
DOI
https://doi.org/10.3390/math13193082
Citations
1
Primary Topic
Sustainable Supply Chain Management
Type
article
Field-Weighted Citation Impact
2.23
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article

Stackelberg Game Analysis of Green Design and Coordination in a Retailer-Led Supply Chain with Altruistic Preferences

Renzhong Liu, Fakhar Shahzad, Yanming Zheng
1 citations
Mathematics
Sustainable Supply Chain Management
2.23
article

Stackelberg Game Analysis of Green Design and Coordination in a Retailer-Led Supply Chain with Altruistic Preferences

Renzhong Liu, Fakhar Shahzad, Yanming Zheng
article en
1 citations

Abstract

Green design by manufacturers is essential for achieving supply chain sustainability, and large retailers may exhibit altruistic preferences to incentivize such efforts. Accordingly, this study develops three game-theoretic models of a two-echelon supply chain composed of a manufacturer and a dominant retailer, with and without altruistic preferences, to examine how altruism and green design affect firms’ optimal decisions and environmental impact. In addition, two coordination mechanisms—green design cost-sharing and two-part tariff contracts—are proposed under altruistic preferences. We find that the dominant retailer’s altruistic preference can motivate the manufacturer to improve the green design level and increase system profit. Although the dominant retailer has altruistic preference, they cannot always lower the total environmental impact of products, so it is helpful to motivate the manufacturer to reduce the environmental adverse impact by increasing investments in green design. Both the two contracts designed in this paper can achieve incentive compatibility and perfect coordination of supply chain. However, with the retailer’s altruistic preference enhancement, the feasible range of the two contracts will be reduced.

MathematicsVol. 13(19)
Shenzhen University (CN), Harbin University of Commerce (CN)
Openalex Percentile: Top 9%
Sustainable Supply Chain Management
2.23
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Stackelberg Game Analysis of Green Design and Coordination in a Retailer-Led Supply Chain with Altruistic Preferences — Renzhong Liu, Fakhar Shahzad, et al. · Mathematics (2025) | TGRS Research Map | TGRS