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Dynamic Game Behavior of Retailers Considering the Quality of Substitute Products Based on Delay Decision

Binshuo Bao

College of Management and Economics, Tianjin University, Tianjin 300072, P. R. China

E-mail Address: baobinshuo1024@163.com

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and

Junhai Ma

College of Management and Economics, Tianjin University, Tianjin 300072, P. R. China

E-mail Address: mjhtju@aliyun.com

Corresponding author.

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https://doi.org/10.1142/S0218127417502066Cited by:16 (Source: Crossref)

Abstract

Motivated by the Silk Road Economic Belt and the 21st-Century Maritime Silk Road project, i.e. the Belt and Road (B&R), more goods will flow around the world. With this trading platform, people can buy products at relatively cheap prices, and it is easier for people to buy various goods. The quality and quantity of products thus attract more and more attention in the supply chains. This paper discusses the quantity decision by considering the product quality in parallel supply chains where two manufacturers produce substitute products and then sell them to their downstream retailers separately. In terms of the changing quantity, as well as the different quality, this paper establishes a dynamic game model to explore the dynamic behavior when the optimal profits of two retailers have been calculated. The dynamic behaviors of the system, such as stable region, bifurcation and chaos, strange attractors and the largest Lyapunov exponents (LLE) are analyzed. The effect of the quantity adjustment parameter on the stability of the supply chain system is investigated through numerical simulations. Furthermore, a dynamic game model is established based on the quality delay decision, to investigate the influence of the quality delay parameter on the dynamic game model and the profits. Finally, the optimal decisions are obtained and analyzed.

Keywords:

References

Chen, J., Liang, L. & Yang, F. [2015] “ Cooperative quality investment in outsourcing,” Int. J. Product. Econ. 162, 174–191. Crossref, Web of Science, Google Scholar
Chen, J., Liang, L., Yao, D. Q. & Sun, S. [2016] “ Price and quality decisions in dual-channel supply chains,” Eur. J. Operat. Res. 259, 935–948. Crossref, Web of Science, Google Scholar
Delbono, F. & Lambertini, L. [2016] “ Ranking Bertrand, Cournot and supply function equilibria in oligopoly,” Energy Econ. 60, 73–78. Crossref, Web of Science, Google Scholar
Dukes, A., Geylani, T. & Liu, Y. [2014] “ Dominant retailers incentives for product quality in asymmetric distribution channels,” Market. Lett. 25, 93–107. Crossref, Web of Science, Google Scholar
Fang, Y. & Shou, B. [2015] “ Managing supply uncertainty under supply chain Cournot competition,” Eur. J. Operat. Res. 243, 156–176. Crossref, Web of Science, Google Scholar
Guo, Z. & Ma, J. [2016] “ The influence of information acquisition on the complex dynamics of market competition,” Int. J. Bifurcation and Chaos 26, 1650008. Link, Web of Science, Google Scholar
Häckner, J. [2000] “ A note on price and quantity competition in differentiated oligopolies,” J. Econ. Th. 93, 233–239. Crossref, Web of Science, Google Scholar
Hu, M. C., Chen, Y. H. & Huang, L. C. [2014] “ A sustainable vegetable supply chain using plant factories in Taiwanese markets: A Nash–Cournot model,” Int. J. Product. Econ. 152, 49–56. Crossref, Web of Science, Google Scholar
Hu, B. & Feng, Y. [2017] “ Optimization and coordination of supply chain with revenue sharing contracts and service requirement under supply and demand uncertainty,” Int. J. Product. Econ. 183, 185–193. Crossref, Web of Science, Google Scholar
Jeihoonian, M., Zanjani, M. K. & Gendreau, M. [2017] “ Closed-loop supply chain network design under uncertain quality status: Case of durable products,” Int. J. Product. Econ. 183, 470–486. Crossref, Web of Science, Google Scholar
Karakaya, S. & Bakal, I. S. [2013] “ Joint quantity flexibility for multiple products in a decentralized supply chain,” Comput. Indust. Engin. 64, 696–707. Crossref, Web of Science, Google Scholar
Kwon, I. W. G., Kim, S. H. & Martin, D. G. [2016] “ Healthcare supply chain management; strategic areas for quality and financial improvement,” Technol. Forecast. Social Change 113, 422–428. Crossref, Web of Science, Google Scholar
Lian, Z. & Deshmukh, A. [2009] “ Analysis of supply contracts with quantity flexibility,” Eur. J. Operat. Res. 196, 526–533. Crossref, Web of Science, Google Scholar
Ludkovski, M. & Sircar, R. [2016] “ Technology ladders and R&D in dynamic Cournot markets,” J. Econ. Dyn. Contr. 69, 127–151. Crossref, Web of Science, Google Scholar
Ma, J. & Xie, L. [2016] “ The comparison and complex analysis on dual-channel supply chain under different channel power structures and uncertain demand,” Nonlin. Dyn. 83, 1379–1393. Crossref, Web of Science, Google Scholar
Ma, J. & Lou, W. [2017] “ Complex characteristics of multichannel household appliance supply chain with the price competition,” Complexity, 4327069-1–12. Google Scholar
Maiti, T. & Giri, B. C. [2017] “ Two-way product recovery in a closed-loop supply chain with variable markup under price and quality dependent demand,” Int. J. Product. Econ. 183, 259–272. Crossref, Web of Science, Google Scholar
Masoudipour, E., Amirian, H. & Sahraeian, R. [2017] “ A novel closed-loop supply chain based on the quality of returned products,” J. Cleaner Product. 151, 344–355. Crossref, Web of Science, Google Scholar
Pal, S. & Mahapatra, G. S. [2017] “ A manufacturing-oriented supply chain model for imperfect quality with inspection errors, stochastic demand under rework and shortages,” Comput. Industr. Engin. 106, 299–314. Crossref, Web of Science, Google Scholar
Shi, H., Liu, Y. & Petruzzi, N. C. [2013] “ Consumer heterogeneity, product quality, and distribution channels,” Manag. Sci. 59, 1162–1176. Crossref, Web of Science, Google Scholar
Szolnoki, A. & Perc, M. [2013] “ Decelerated invasion and waning-moon patterns in public goods games with delayed distribution,” Phys. Rev. E Statist. Nonlin. Soft Matter Phys. 87, 054801. Crossref, Web of Science, Google Scholar
Willersinn, C., Mack, G., Mouron, P., Keiser, A. & Siegrist, M. [2015] “ Quantity and quality of food losses along the Swiss potato supply chain: Stepwise investigation and the influence of quality standards on losses,” Waste Manag. 46, 120–132. Crossref, Web of Science, Google Scholar
Xie, L. & Ma, J. [2016] “ Study the complexity and control of the recycling-supply chain of China’s color TVs market based on the government subsidy,” Commun. Nonlin. Sci. Numer. Simul. 38, 102–116. Crossref, Web of Science, Google Scholar
Xu, X. [2009] “ Optimal price and product quality decisions in a distribution channel,” Manag. Sci. 55, 1347–1352. Crossref, Web of Science, Google Scholar
Yan, X., Wang, Y. & Hong, Z. [2016] “ Comparison of Bertrand and Cournot competitions under random yield,” Int. J. Product. Res. 54, 3256–3276. Crossref, Web of Science, Google Scholar
Ye, Y. S., Ma, Z. J. & Dai, Y. [2016] “ The price of anarchy in competitive reverse supply chains with quality-dependent price-only contracts,” Transport. Res. Part E: Logist. Transp. Rev. 89, 86–107. Crossref, Web of Science, Google Scholar
Zhang, M., Guo, H., Huo, B., Zhao, X. & Huang, J. [2017] “ Linking supply chain quality integration with mass customization and product modularity,” Int. J. Product. Econ., http://dx.doi.org/10.1016/j.ijpe.2017.01.011. Web of Science, Google Scholar
Zhou, L., Chen, Z., Wang, J. & Zhang, Q. [2017] “ Local bifurcation analysis and global dynamics estimation of a novel 4-dimensional hyperchaotic system,” Int. J. Bifurcation and Chaos 27, 1750021. Link, Web of Science, Google Scholar