Abstract and Applied Analysis

The Complexity Uncertain Analysis about Three Differences Old and New Product Pricing Oligarch Retailers Closed-Loop Supply Chain

Junhai Ma and Bin Chen

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

This paper studied some realistic recycle fields at present in China, such as some daily machinery and equipment, electronic products, and plastic products. Under such circumstance, three oligarch retailers are a common situation. In this paper, we model and analyze the game of three oligarch retailers in a closed-loop supply chain. The stability of the Nash equilibrium, the bifurcation and chaos phenomenon of the recycling price and new product quantity when retailers change its adjustment speed, the profit trends of the three retailers, and the power spectrum are studied. At last, we used the parameter adjustment and the variable state feedback control strategy for chaos control, and the chaos of the system is delayed effectively. For closed-loop supply chain research, the conclusions of the numerical simulation in this paper not only have realistic guiding significance, but also have theoretical reference value.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 891624, 11 pages.

Dates
First available in Project Euclid: 3 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412364365

Digital Object Identifier
doi:10.1155/2014/891624

Mathematical Reviews number (MathSciNet)
MR3224325

Zentralblatt MATH identifier
07023251

Citation

Ma, Junhai; Chen, Bin. The Complexity Uncertain Analysis about Three Differences Old and New Product Pricing Oligarch Retailers Closed-Loop Supply Chain. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 891624, 11 pages. doi:10.1155/2014/891624. https://projecteuclid.org/euclid.aaa/1412364365


Export citation

References

  • J. Zhang and Q. Da, “Analysis of duopoly game with different rationality in oligopoly market,” Journal of Southeast University, vol. 36, no. 6, pp. 1029–1033, 2006.
  • A. Matsumoto and Y. Nonaka, “Statistical dynamics in a chaotic Cournot model with complementary goods,” Journal of Eco-nomic Behavior and Organization, vol. 61, no. 4, pp. 769–783, 2006.
  • Y. L. Lu, H. F. Xue, and Z. G. Li, “Complex dynamics analysis and chaos control for an economic game model,” System Engineering Theory and Practice, vol. 28, no. 4, pp. 118–123, 2008.
  • E. M. Elabbasy, H. N. Agiza, and A. A. Elsadany, “Analysis of nonlinear triopoly game with heterogeneous players,” Computers and Mathematics with Applications, vol. 57, no. 3, pp. 488–499, 2009.
  • Y. Gong and B. Li, “Analysis of price and differentiation strategies in tripoly market with different game structures,” Systems Engineering, vol. 28, no. 4, pp. 59–63, 2010.
  • R. Hu and Q. Chen, “Competition analysis and chaos control in duopoly of bounded rationality with learning ability,” Control and Decision, vol. 26, no. 1, pp. 133–140, 2011.
  • J. Ma and X. Pu, “Complex dynamics in nonlinear triopoly market with different expectations,” Discrete Dynamics in Nature and Society, vol. 2011, Article ID 902014, 2011.
  • J. Ma and X. Pu, “The research on Cournot-Bertrand duopoly model with heterogeneous goods and its complex characteristics,” Nonlinear Dynamics, vol. 72, no. 4, pp. 895–903, 2013.
  • J. Zhang and J. Ma, “Research on the price game model for four oligarchs with different decision rules and its chaos control,” Nonlinear Dynamics, vol. 70, no. 1, pp. 323–334, 2012.
  • J. Ma and Z. Sun, “The research on price game model and its complex characteristics of triopoly in different decision-making rule,” Nonlinear Dynamics, vol. 71, no. 1-2, pp. 35–53, 2013.
  • H. Wang and J. Ma, “Complexity analysis of a cournot-bertrand duopoly game model with limited information,” Discrete Dynamics in Nature and Society, vol. 2013, Article ID 287371, 6 pages, 2013.
  • J. Ma and H. I. Bangura, “Complexity analysis research of financial and economic system under the condition of three param-eters' change circumstances,” Nonlinear Dynamics, vol. 70, no. 4, pp. 2313–2326, 2012.
  • M. Junhai and Z. Junling, “Research on the price game and the application of delayed decision in oligopoly insurance market,” Nonlinear Dynamics, vol. 70, no. 4, pp. 2327–2341, 2012.
  • J. Ma and H. Tu, “Complexity of a duopoly game in the electric-ity market with delayed bounded rationality,” Discrete Dynamics in Nature and Society, vol. 2012, Article ID 698270, 13 pages, 2012.
  • Z. Sun and J. Ma, “Complexity of triopoly price game in Chinese cold rolled steel market,” Nonlinear Dynamics, vol. 67, no. 3, pp. 2001–2008, 2012.
  • J. Ding, Q. Mei, and H. Yao, “Dynamics and adaptive control of a Duopoly advertising model based on heterogeneous expectations,” Nonlinear Dynamics, vol. 67, no. 1, pp. 129–138, 2012.
  • Y. Yi, “Closed-loop supply chain game models with product remanufacturing in a duopoly retailer channel,” Journal of Management Sciences in China, vol. 12, no. 6, pp. 45–54, 2009.
  • Y. Guo, J. Ma, and G. Wang, “Modeling and analysis of recycling and remanufacturing systems by using repeated game model,” Industrial Engineering Journal, vol. 14, no. 5, pp. 66–70, 2011.
  • W. M. Ma and Z. Zhao, “Different models of closed-loop supply chain with the government replacement-subsidy,” System Engineering Theory and Practice, vol. 32, no. 9, pp. 1938–1944, 2012. \endinput