Optimal Dual-Channel Dynamic Pricing of Perishable Items under Different Attenuation Coefficients of Demands

Author(s):  
Zhenkai Lou ◽  
Fujun Hou ◽  
Xuming Lou
Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Zonghuo Li ◽  
Wensheng Yang ◽  
Yinyuan Si

PurposeThis paper investigates a dual-channel supply chain in which a manufacturer offers coupons in the online channel and the retailer in the offline channel. The optimal pricing and coupon promotion policies are explored, and the brand image under different promotion scenarios is studied.Design/methodology/approachThree differential game models, namely no coupon is offered, coupons offered by the manufacturer and coupons offered by the retailer, are constructed.FindingsThe results show that the manufacturer and retailer intend to conduct coupon promotions under a large coupon redemption rate. Coupon promotion derives a higher price and profit for the issuers, and the manufacturer can free-ride on the retailer's coupon promotion. The retailer's profit in the retailer-promotion scenario may be lower than that in the manufacturer-promotion scenario in some special conditions. Besides, price, coupon face value, brand image and profit increase over time. After multiple cycles game, the operational strategy evolves to an optimal equilibrium status.Originality/valueThis paper provides guidance and advice for dual-channel supply enterprises to implement joint pricing and coupon promotion strategies under multiple sales seasons.


2016 ◽  
Vol 26 (09) ◽  
pp. 1650146 ◽  
Author(s):  
Lijian Sun ◽  
Junhai Ma

Under the industrial background of dual-channel, volatility in demand of consumers, we use the theory of bifurcations and numerical simulation tools to investigate the dynamic pricing game in a dual-channel supply chain with risk-averse behavior and incomplete information. Due to volatility of demand of consumers, we consider all the players in the supply chain are risk-averse. We assume there exist Bertrand game and Manufacturers’ Stackelberg in the chain which are closer to reality. The main objective of the paper is to investigate the complex influence of the decision parameters such as wholesale price adjustment speed, risk preference and service value on stability of the risk-averse supply chain and average utilities of all the players. We lay emphasis on the influence of chaos on average utilities of all the players which did not appear in previous studies. The dynamic phenomena, such as the bifurcation, chaos and sensitivity to initial values are analyzed by 2D bifurcation phase portraits, Double Largest Lyapunov exponent, basins of attraction and so on. The study shows that the manufacturers should slow down their wholesale price adjustment speed to get more utilities, if the manufacturers are willing to take on more risk, they will get more profits, but they must keep their wholesale prices in a certain range in order to maintain the market stability.


2021 ◽  
Author(s):  
Yuhao Zhang ◽  
Tao Zhang

Abstract In this paper, we study a dual-channel closed-loop supply chain(CLSC), where the manufacturer wholesales the new product through the traditional retail channel and distributes the remanufactured product via a direct channel established by himself. We focus on developing two dynamic Stackelberg game models under the assumption of the retailer is an adaptive agent and the manufacturer is a bounded rational player with non-delay and delay decisions. The existence and locally asymptotic stability of Nash equilibrium is investigated, and also the complex dynamics of each model is illustrated including period-doubling bifurcation, Neimark-Sacker bifurcation, strange attractor and chaotic phenomena. Numerical simulations are conducted to examine the impacts of key parameters on the complex behaviors of the long-run dynamic Stackelberg game and the performance of chain members under various scenarios. The results reveal that the excessively high value of the price adjustment speed of the manufacturer, the consumer discount perception for the remanufactured product as well as the consumer preference degree to the direct channel have adestabilization effect on the Nash equilibrium. Besides, the delay decision adopted by manufacturer no matter in the traditional or direct channel does not always necessarily make the system more stable, but the appropriately delay weights can expand the stability domain of the system. Moreover, the manufacturer would suffer a significant profit loss while the retailer can capture more profits when the dual-channel CLSC system falls into periodic cycles and chaos motions. At last, the variable feedback control method is utilized to eliminate the delayed system chaos.


2017 ◽  
Vol 12 (2) ◽  
pp. 347-365 ◽  
Author(s):  
Jing Lu ◽  
Jianxiong Zhang ◽  
Qiao Zhang

2020 ◽  
Vol 12 (22) ◽  
pp. 9348
Author(s):  
Jixiang Zhang ◽  
Chen Zhu

In this work, considering consumers’ service sensitivity for the third-party collector in the reverse supply chain, a game model (including a manufacturer and a third-party collector) with dual-channel recycling structure was established. Based on the bounded rationality, we used dynamics theory to analyze the dynamic service and pricing decisions of the manufacturer and the third-party collector in the process of collecting waste products. The results showed that adjustment speeds of pricing and service decisions have great effect on the stability of recycling market, and the recycling market is most sensitive to the change of third-party collectors’ service decision. When the recycling market is in chaos, it has a strong initial value sensitivity. In addition, we found that increase of consumers’ service sensitivity and service cost parameter had negative effect on stability of the recycling market; there is a reverse relationship between price adjustment parameters and the service adjustment parameter. With the increase of service adjustment parameter, the bifurcation point of the system will appear more quickly. Finally, chaotic market can be controlled by the feedback control method.


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