JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (1): 86-93, 101.doi: 10.6040/j.issn.1671-9352.0.2018.260

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Evolutionary game analysis of dual-channel supply chain considering service quality and delay decision

Feng-shan SI(),Jing WANG,Dao-ming DAI   

  1. School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, Anhui, China
  • Received:2018-05-15 Online:2020-01-20 Published:2020-01-10

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Abstract:

Considering the retailer's service quality and delay decision, this paper constructs a delay differential price game model for dual-channel supply chain, explores the existence and local asymptotic stability of Hopf bifurcation in the game model, analyses the influence of decision variables on the stability of the game model, and explores the influence of the stability of the system on the price evolution trend. The results show that the equilibrium strategy of the stabilization system remains unchanged if delayed decision is adopted or not; the game results of the stabilization system converge to the equilibrium strategy, while the game results of the unstable system tend to the limit cycle; the delay decision variables, service quality and price adjustment speed must be adjusted within a certain range to maintain the stability of the system; and the unstable system can be successfully controlled.

Key words: service quality, delay decision, dual-channel supply chain, evolutionary game

CLC Number: 

  • TP273

Fig.1

Dual-channel supply chain structure diagram"

Fig.2

Time series diagram of system without delay strategy"

Fig.3

Bifurcation diagram of the system with respect to τ"

Fig.4

Attractor diagram of stable system"

Fig.5

Attractor diagram of unstable system"

Fig.6

The effect of service quality on profits when τ=0.2"

Fig.7

The effect of price adjustment speed k1 on price when τ=0.2"

Fig.8

Bifurcation diagram of system (20) with respect to μ when τ=0.35"

Fig.9

Attractor diagram of system (20) when μ=0.04"

Fig.10

Attractor diagram of system (20) when μ=0.05"

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