The impact of loss sensitivity on a mobile phone supply chain system stability based on the chaos theory

Abstract This paper, based on the China’s communications and the current situation of the mobile phone industry, focuses on the stability of a supply chain system that consists of one supplier and one bounded rational retailer. We explore the influence of the decision makers’ loss sensitivity and decision adjustment speed on the stability of the supply chain. It is found that when the retailer is not sensitive to the loss or adjusts decisions cautiously, the system can be stable. The single-retailer model is extended to a multi-retailer one to study the influence of competition on the system stability. The results show that the market share of each retailer does not affect the system stability when it is fixed. The decision of each retailer does not affect that of any other retailer and the system stability. We present two decision adjustment rules (“bounded rationality expectation (BRE)” and “adaptive exponential smoothing (AES)”) and compare their performances on the system stability, and find that the AES rule does not affect the system stability, while the BRE rule will make the system stability be sensitive to the retailers’ loss sensitivity and the decision adjustment speed. We also reveal the unstable system’s negative impact on the retailers’ decisions and profits, to emphasize the importance to maintain the system stability.

[1]  Evan L. Porteus Chapter 12 Stochastic inventory theory , 1990 .

[2]  A. Tversky,et al.  Loss Aversion in Riskless Choice: A Reference-Dependent Model , 1991 .

[3]  Vipul Agrawal,et al.  Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem , 2000, Manuf. Serv. Oper. Manag..

[4]  Meng Zhi-qing,et al.  Optimal decisions for the loss-averse newsvendor problem under CVaR , 2015 .

[5]  Z. Kevin Weng Coordinating order quantities between the manufacturer and the buyer: A generalized newsvendor model , 2004, Eur. J. Oper. Res..

[6]  B. Keren The single-period inventory problem: Extension to random yield from the perspective of the supply chain , 2009 .

[7]  H. M. Paynter,et al.  Inners and Stability of Dynamic Systems , 1975 .

[8]  Gérard P. Cachon Supply Chain Coordination with Contracts , 2003, Supply Chain Management.

[9]  D. Sterman,et al.  Misperceptions of Feedback in a Dynamic Decision Making Experiment , 1989 .

[10]  Houmin Yan,et al.  Channel Coordination with a Risk‐Neutral Supplier and a Downside‐Risk‐Averse Retailer , 2005 .

[11]  Lei Xie,et al.  Study the complexity and control of the recycling-supply chain of China's color TVs market based on the government subsidy , 2016, Commun. Nonlinear Sci. Numer. Simul..

[12]  Baogui Xin,et al.  Finite-time stabilizing a fractional-order chaotic financial system with market confidence , 2015 .

[13]  A. Mehrez,et al.  A two-item newsboy problem with substitutability , 1996 .

[14]  M. Khouja The single-period (news-vendor) problem: literature review and suggestions for future research , 1999 .

[15]  Junhai Ma,et al.  Chaos and Hopf bifurcation of a finance system , 2009 .

[16]  Sameh S. Askar,et al.  Complex dynamic properties of Cournot duopoly games with convex and log-concave demand function , 2014, Oper. Res. Lett..

[17]  H. Simon,et al.  A Behavioral Model of Rational Choice , 1955 .

[18]  Xuanming Su Bounded Rationality in Newsvendor Models , 2007 .

[19]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[20]  Jason L. Dedrick,et al.  The distribution of value in the mobile phone supply chain , 2011 .

[21]  Fabio Tramontana,et al.  Nonlinear dynamics and global analysis of a heterogeneous Cournot duopoly with a local monopolistic approach versus a gradient rule with endogenous reactivity , 2015, Commun. Nonlinear Sci. Numer. Simul..

[22]  Gérard P. Cachon,et al.  Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence.: Experimental Evidence. , 2000 .

[23]  S. Webster,et al.  The Loss-Averse Newsvendor Problem , 2009 .

[24]  Shiji Song,et al.  Impact of loss aversion on the newsvendor game with product substitution , 2013 .

[25]  R. J. Casimir The value of information in the multi-item newsboy problem , 2002 .

[26]  Stefan Minner,et al.  Do Random Errors Explain Newsvendor Behavior? , 2010, Manuf. Serv. Oper. Manag..

[27]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[28]  Charles X. Wang The loss-averse newsvendor game , 2010 .

[29]  Zhanbing Guo,et al.  Implications for Firms with Limited Information to Take Advantage of Reference Price Effect in Competitive Settings , 2017, Complex..

[30]  Di Huang,et al.  A competitive multiple-product newsboy problem with partial product substitution , 2011 .

[31]  B. C. Giri,et al.  Optimal production policy for a closed-loop hybrid system with uncertain demand and return under supply disruption , 2016 .

[32]  Javad Nasiry,et al.  Prospect Theory Explains Newsvendor Behavior: The Role of Reference Points , 2015, Manag. Sci..

[33]  L. Eeckhoudt,et al.  The Risk-Averse and Prudent Newsboy , 1995 .