JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (9): 56-63.doi: 10.6040/j.issn.1671-9352.0.2023.174

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Differential game in supply chain of innovative products with double regrets of consumers

Yi ZHU(),Zhenwei LIU*()   

  1. School of Economics and Management, East China Jiaotong University, Nanchang 330013, Jiangxi, China
  • Received:2023-04-25 Online:2024-09-20 Published:2024-10-10
  • Contact: Zhenwei LIU E-mail:18174022023@163.com;liuzhenwei428@outlook.com

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Abstract:

In the context of a long-term dynamic environment, this study investigates the impact of consumer regret behavior after purchasing innovative durable products on a manufacturer-led secondary dynamic supply chain. By establishing a differential game model and solving Hamilton equation, the optimal path for manufacturers' wholesale prices and retailers' retail prices in the supply chain is obtained. Through numerical simulation, the data changes are presented in the form of images to further analyze the impact of consumer purchase regret behavior on various decision variables in the supply chain. The results show that consumer purchase regret can lead to a decrease in sales of innovative durable products in the supply chain, and the long-term profits of manufacturers and retailers also decrease accordingly. But as the time for innovative durable products to enter the market increases, the sales volume of the products and the long-term profits of manufacturers and retailers also increase. In addition, when the proportion of consumer regret behavior is relatively small and the product market investment time is relatively long, the long-term profits of retailers will experience a bifurcation phenomenon. Therefore, when the proportion of purchase regret behavior is low, extending the product's market investment time can significantly increase the profit of this innovative durable product.

Key words: consumer purchase regret, innovative product, supply chain, dynamic optimization, differential game

CLC Number: 

  • F274

Table 1

Supply chain parameter assignment (1)"

a cm N γ t
0.002 100 10 000 10 000 50

Fig.1

Impact of ζ1、ζ2 on the final total sales volume"

Fig.2

Impact of ζ1、ζ2 on the manufacturer's total profit"

Fig.3

Impact of ζ1、ζ2 on the retailers' long-term profit"

Table 2

Supply chain parameter assignment (2)"

a cm N γ ζ2
0.002 100 10 000 10 000 0.3

Fig.4

Impact of T、ζ1 on the manufacturer's long-term profit"

Fig.5

Impact of T、ζ1 on the retailers' long-term profit"

Table 3

Supply chain parameter assignment (3)"

a cm N γ ζ1
0.002 100 50 10 000 0.3

Fig.6

Impact of T、ζ2 on the retailers' long-term profit"

Fig.7

Impact of T、ζ2 on the manufacturer's long-term profit"

1 李明乾. 我国新能源乘用车产业市场绩效与市场结构关系研究[J]. 经营与管理, 2022, (4): 176- 184.
LI Mingqing . Research on the relationship between market performance and market structure of China's new energy passenger car industry[J]. Management and Administration, 2022, (4): 176- 184.
2 全雄文, 涂菶生, 魏杰. 新产品销售定价的制造商与销售商斯坦克尔伯格博弈[J]. 系统工程理论与实践, 2007, (8): 111- 117.
QUAN Xiongwen , TU Fengsheng , WEI Jie . Steinkelberg game between manufacturers and sellers of new product sales pricing[J]. Systems Engineering-Theory & Practice, 2007, (8): 111- 117.
3 段永瑞, 徐超, 刘晶晶. 考虑预期后悔的创新产品定价和质量决策研究[J]. 工业工程与管理, 2021, 26 (3): 185- 194.
DUAN Yongrui , XU Chao , LIU Jingjing . Research on pricing and quality decisions of innovative products considering expected regret[J]. Industrial Engineering and Management, 2021, 26 (3): 185- 194.
4 JIANG B , NARASIMHAN C . Turut anticipated regret[J]. Management Science, 2017, 63 (12): 4308- 4323.
5 李小燕, 李锋. 竞争环境下基于双重微分博弈的低碳供应链动态优化与协调[J]. 运筹与管理, 2021, 30 (7): 89- 94.
LI Xiaoyan , LI Feng . Dynamic optimization and coordination of low-carbon supply chain based on double differential game in competitive environment[J]. Operations Research and Management Science, 2021, 30 (7): 89- 94.
6 霍沛军, 陈剑, 陈继祥. 两层供应链中的上游R & D补贴策略[J]. 清华大学学报(自然科学版), 2003, (10): 1297- 1300.
HUO Peijun , CHEN Jian , CHEN Jixiang . Upstream R & D subsidy strategy in two-tier supply chain[J]. Journal of Tsinghua University(Science and Technology), 2003, (10): 1297- 1300.
7 BASS F M . A new product growth model for consumer durables[J]. Manag Sci, 1969, 15 (5): 215- 227.
8 夏卫国, 张旭, 侯光明. 品牌溢出下新产品扩散模型研究: 以电影为例[J]. 科研管理, 2021, 42 (10): 122- 130.
XIA Weiguo , ZHANG Xu , HOU Guangming . Research on new product diffusion model under brand spillover—a case study of film[J]. Science Research Management, 2021, 42 (10): 122- 130.
9 杨强, 丁勇. 移动互联时代技术创新产品扩散机制与对策[J]. 经营与管理, 2020, (4): 10- 13.
YANG Qiang , DING Yong . Diffusion mechanism and countermeasures of technological innovation products in mobile Internet era[J]. Management and Administration, 2020, (4): 10- 13.
10 全雄文. 更新产品销售定价博弈研究[J]. 南开大学学报(自然科学版), 2011, 44 (3): 1- 7.
QUAN Xiongwen . Update the game research of product sales pricing[J]. Acta Scientiarum Naturalium Universitatis Nankaiensis, 2011, 44 (3): 1- 7.
11 张成虎, 周梅华. 消费者后悔理论研究综述[J]. 江苏商论, 2010, (12): 32- 33.
ZHANG Chenghu , ZHOU Meihua . Review of consumer regret theory[J]. Jiangsu Commercial Forum, 2010, (12): 32- 33.
12 王道平, 丁婧一, 周玉. 不同权力结构下考虑消费者后悔预期的再制造供应链定价研究[J]. 系统科学与数学, 2023, 43 (1): 114- 128.
WANG Daoping , DING Jingyi , ZHOU Yu . Study on remanufacturing supply chain pricing considering consumer anticipated regret under different power structures[J]. Journal of Systems Science and Mathematical Sciences, 2023, 43 (1): 114- 128.
13 YANG Feng , WANG Manman , ANG Sheng . Optimal remanufacturing decisions in supply chains considering consumers' anticipated regret and power structures[J]. Transportation Research Part E, 2021, 148.
14 高鹏, 杜建国, 聂佳佳, 等. 消费者后悔预期对IR技术创新策略的影响[J]. 工业工程与管理, 2019, 24 (2): 174- 182.
GAO Peng , DU Jianguo , NIE Jiajia , et al. The impact of consumer regret expectations on IR technology innovation strategies[J]. Industrial Engineering and Management, 2019, 24 (2): 174- 182.
15 刘浪, 汪惠, 黄冬宏. 销售成本信息不对称下供应商风险规避的回购契约[J]. 中国管理科学, 2023, 31 (1): 158- 167.
LIU Lang , WANG Hui , HUANG Donghong . Repurchase contract of supplier risk avoidance under asymmetric cost of sales information[J]. Chinese Journal of Management Science, 2023, 31 (1): 158- 167.
16 KAHNEMAN D , TVERSKY A . On the psychology of prediction[J]. Psychological Review, 1973, 80 (4): 237- 251.
17 KAHNEMAN D , TVERSKY A . Prospect theory an analysis of decision under risk[J]. Econonetrica, 1979, 47 (2): 263- 291.
18 KAHNEMAN D , TVERSKY A . Subjective probability: a judement of representativeness[J]. Cognitive Psychology, 1972, (3): 430- 454.
19 MARTIN Lindstrom . Brand washed[M]. New York: Crown Business, 2011.
20 蒋中一. 动态最优化基础[M]. 北京: 中国人民大学出版社, 2015.
JIANG Zhongyi . Fundamentals of dynamic optimization[M]. Beijing: China Renmin University Press, 2015.
21 ROBINSON B , LAKHANI C . Dynamic Price models for new-product planning[J]. Management Science, 1975, 21 (10): 1113- 1122.
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