Study and Simulation on Dynamics of a Risk-Averse Supply Chain Pricing Model with Dual-Channel and Incomplete Information

2016 ◽  
Vol 26 (09) ◽  
pp. 1650146 ◽  
Author(s):  
Lijian Sun ◽  
Junhai Ma
Keyword(s):  
Supply Chain ◽  
Incomplete Information ◽  
Dynamic Pricing ◽  
Wholesale Price ◽  
Price Adjustment ◽  
Phase Portraits ◽  
Largest Lyapunov Exponent ◽  
Risk Averse ◽  
Dual Channel ◽  
Adjustment Speed

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.

Analysis of Pricing and Service Effort in Dual-Channel Supply Chains with Showrooming Effect

2020 ◽  
Vol 30 (16) ◽  
pp. 2050241
Author(s):  
Junhai Ma ◽  
Yaping Li ◽  
Zongxian Wang
Keyword(s):  
Supply Chain ◽  
Wholesale Price ◽  
Stable State ◽  
Dynamic Game ◽  
Price Adjustment ◽  
Flip Bifurcation ◽  
Stability Range ◽  
Dual Channel ◽  
Adjustment Speed ◽  
The Stability

Showrooming has become common practice of consumers in the context of dual-channel retailing. Under different intensities of showrooming, the manufacturer can decide whether to directly retail online (the M-R case) or resell through an e-retailer (the E-R case). Dual-channel supply chain models and dynamic game models are developed and both online selling formats are investigated. The dynamic game process of the supply chain is numerically simulated. The stability of the Nash equilibrium point is investigated by parameter basins for periodical cycles and bifurcation diagrams. The results show that the price adjustment speeds have a larger stability range in the M-R case while the service effort adjustment speed has a larger stability range in the E-R case. The stability of the systems is more sensitive to price adjustment speed than service effort adjustment speed in both supply chain structures. It is found that the systems will enter chaos through a flip bifurcation or a Neimark–Sacker bifurcation. The changes in attractors and basins of attraction indicate that both channels can reach the equilibria more easily when they choose a lower speed of retail price adjustment. The effects of showrooming on decision variables are greater in the M-R case than in the E-R case. When the showrooming effect is moderate, the manufacturer should choose the M-R case; when the showrooming effect is sufficiently large or sufficiently small, the manufacturer should choose the E-R case. We propose a wholesale price markdown strategy which can: (i) eliminate the double marginalization and coordinate the supply chain; (ii) effectively control the chaos caused by the overhigh adjustment speed of wholesale price, and restore the system to a stable state; (iii) improve the retailer’s service effort.

scholarly journals Dynamic Game and Coordination Strategy of Multichannel Supply Chain Based on Brand Competition

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-26 ◽  
Author(s):  
Junhai Ma ◽  
Fang Zhang ◽  
Binshuo Bao
Keyword(s):  
Supply Chain ◽  
Dynamic Pricing ◽  
Tracking System ◽  
Wholesale Price ◽  
Stable Region ◽  
Selling Price ◽  
Direct Channel ◽  
Channel Competition ◽  
Brand Competition ◽  
Adjustment Speed

In is very important for the corresponding author to have a linked ORCID (Open Researcher and Contributor ID) account on MTS. To register a linked ORCID account, please go to the Account Update page (http://mts.hindawi.com/update/) in our Manuscript Tracking System and after you have logged in click on the ORCID link at the top of the page. This link will take you to the ORCID website where you will be able to create an account for yourself. Once you have done so, your new ORCID will be saved in our Manuscript Tracking System automatically.”"?>this paper, two noncooperative dynamic pricing strategies are used in a supply chain. Two dynamic Stackelberg game models have been built involving both a manufacturer and a retailer assumed to be the leader in order. In the two models, the manufacturer sells national-brand (NB) product to an independent retailer or directly to consumers through a direct channel. The retailers sell a store-brand (SB) product when they sell the NB product coming from the manufacturer. Thus, there is competition both in different channels and in products with different brands. To analyze the complexity of the model, parameter bifurcation diagrams and strange attractor diagrams have been therefore plotted. The results show that the game leader has advantages when the market is stable, but it turns disadvantageous if the state falls into unstable as the game follower can quickly adjust the strategy to seize the market. The wholesale price and the direct selling price are high that they incur larger profits if the manufacturer is dominant, but it gets worse when the adjustment speed increases. While in the model where the retailer plays a dominant role, the increase in the adjustment speed is unfavorable to retailer. By controlling the total cost of the direct channel and increasing channel competition strength and brand competition strength, the manufacturers can increase their profits in the game dominated by the retailer. In addition, the stable region within the system will be narrow since the market is sensitive to the channel competition, brand competition, and advertising indifference.

scholarly journals Research on the Maritime Logistics Pricing Model of Risk-Averse Retailer-Dominated Dual-Channel Supply Chain

2018 ◽  
Vol 25 (s2) ◽  
pp. 107-116
Author(s):  
Qing Fang ◽  
Zeping Tong ◽  
Liang Ren ◽  
Ao Liu
Keyword(s):  
Supply Chain ◽  
Risk Aversion ◽  
Wholesale Price ◽  
Risk Averse ◽  
Market Demand ◽  
Maritime Logistics ◽  
Decentralized Supply Chain ◽  
Dual Channel ◽  
On Line ◽  
Dual Channel Supply Chain

Abstract Price decision is studied in a risk-averse retailer-dominated dual-channel supply chain, which consisting of one manufacturers and one retailer with both off-line and on-line channels. Firstly, two mean-variance models in centralized and decentralized supply chain are established. Secondly, the optimal solutions under the two decision modes are compared and analyzed. The results shows that the price of dual-channel of retailer decreased with the increase of retailers’ risk- aversion coefficient and the standard deviation of the fluctuation of market demand, while the wholesale price changes is on the contrary; in addition, when the market demand is greater than a certain value, the prices of dual channel are correspondingly higher in decentralized supply chain than in centralized supply chain, and vice versa. In addition, when the retailer’s risk aversion is in a certain interval, the expected utility of the whole supply chain is greater in centralized supply chain than in decentralized decision, and vice versa. Finally, a numerical example is given to verify the above conclusions.

Impact of price adjustment speed on the stability of Bertrand–Nash equilibrium and profit of the retailers

Kybernetes ◽  
2018 ◽  
Vol 47 (8) ◽  
pp. 1494-1523
Author(s):  
Rofin T.M. ◽  
Biswajit Mahanty
Keyword(s):  
Supply Chain ◽  
Nash Equilibrium ◽  
Chaotic Dynamics ◽  
Price Adjustment ◽  
Online Retailer ◽  
Content Type ◽  
Dual Channel ◽  
Adjustment Speed ◽  
The Stability ◽  
Dual Channel Supply Chain

Purpose The purpose of this paper is to investigate the impact of price adjustment speed on the stability of Bertrand–Nash equilibrium in the context of a dual-channel supply chain competition. Design/methodology/approach The paper considers a dual-channel supply chain comprising a manufacturer, a traditional retailer and an online retailer. A two-dimensional discrete dynamical system is used to examine the Bertrand competition between the retailers. The retailers are assumed to follow bounded rational expectations. Local stability of Bertrand–Nash equilibrium is investigated with respect to the price adjustment speed. Findings As the price adjustment speed increases, the stability of Bertrand–Nash equilibrium is lost, leading to complex chaotic dynamics. The results showed that chaotic dynamics deteriorates the profit of the retailers. The authors also found that the chaos can be controlled using an adaptive adjustment mechanism and the retailers enjoy higher profit when the chaos is controlled. Practical implications This study helps retail managers to choose an appropriate price adjustment speed to maximize profit. Originality/value The heterogeneity of the retailers is not considered in the studies involving dynamics of retailer competition. This paper contributes to the literature by considering the operational difference between a traditional retailer and an online retailer, i.e. price adjustment speed. In addition, the study establishes a link between price adjustment speed and profit.

scholarly journals The Complex Dynamics of Bertrand-Stackelberg Pricing Models in a Risk-Averse Supply Chain

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Junhai Ma ◽  
Qiuxiang Li
Keyword(s):  
Supply Chain ◽  
Complex Dynamics ◽  
Stackelberg Game ◽  
Price Adjustment ◽  
Stable Region ◽  
Uncertain Demand ◽  
Risk Averse ◽  
Pricing Models ◽  
Increase With Increase ◽  
Adjustment Speed

We construct dynamic Bertrand-Stackelberg pricing models including two manufacturers and a common retailer in a risk-averse supply chain with the uncertain demand. The risk-averse supply chain follows these strategies: Bertrand game between the two manufacturers and Stackelberg game between the manufacturer and the retailer. We study the effect of the price adjustment speed, the risk preference, and the uncertain demand on the stability of the risk-averse supply chain using bifurcation, power spectrum, attractor, and so forth. It is observed that there exists slip bifurcation when the price adjustment speed across some critical value, the stable region, and total profit of the risk-averse supply chain will increase with increase ofRM1and decrease with increase ofσ. The profit of the supply chain and the two manufacturers will decrease and the weaker (retailer) is a beneficiary when the supply chain is in chaos. The fluctuation in the supply chain can be gradually controlled by the control of the price adjustment speed.

Dynamic pricing and coupon promotion strategies in a dual-channel supply chain based on differential game

Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Zonghuo Li ◽  
Wensheng Yang ◽  
Yinyuan Si
Keyword(s):  
Supply Chain ◽  
Differential Game ◽  
Dynamic Pricing ◽  
Brand Image ◽  
Content Type ◽  
Dual Channel ◽  
Promotion Policies ◽  
Promotion Strategies ◽  
Joint Pricing ◽  
Dual Channel Supply Chain

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.

Pricing and service decision of dual-channel operations in an O2O closed-loop supply chain

2017 ◽  
Vol 117 (8) ◽  
pp. 1567-1588 ◽  
Author(s):  
Lingcheng Kong ◽  
Zhiyang Liu ◽  
Yafei Pan ◽  
Jiaping Xie ◽  
Guang Yang
Keyword(s):  
Supply Chain ◽  
Closed Loop ◽  
Wholesale Price ◽  
Revenue Sharing ◽  
Service Level ◽  
Return Rate ◽  
Transfer Payment ◽  
Channel Conflict ◽  
Content Type ◽  
Dual Channel

Purpose The online direct selling mode has been widely accepted by enterprises in the O2O era. However, the dual-channel (online/offline, forward/backward) operations of the closed-loop supply chain (CLSC) changed the relationship between manufacturers and retailers, thus resulting in channel conflict. The purpose of this paper is to take a dual-channel operations of CLSC as the research target, where a manufacturer sells a single product through a direct e-channel as well as a conventional retail channel; the retailer are responsible for collecting used products in the reverse supply chain and the manufacturer are responsible for remanufacturing. Design/methodology/approach The authors build a benchmark model of dual-channel price and service competition and take the return rate, which is considered to be related to the service level of the retailer, as the function of the service level to extend the model in the reverse SC. The authors then analyze the optimal pricing and service decision under centralization and decentralization, respectively. Finally, with the revenue-sharing factor, wholesale price and recycling price transfer payment coefficient as contract parameters, the paper also designs a revenue-sharing contract led by the manufacturer and explores in what situation the contract could realize the Pareto optimization of all players. Findings In the baseline model, the results show that optimal price and service level correlate positively in centralization; however, the relation relies on consumers’ price sensitivity in decentralization. In the extension model, the relationship between price and service level also relies on the relative value of increased service cost and remanufacturing saved cost. When the return rate correlates with the service level, a recycling transfer payment can elevate the service level and thus raise the return rate. Through analyzing the parameters in revenue-sharing contract, a point can be reached where lowering the wholesale price and raising the transfer payment coefficient will promote retailers to share revenue. Practical implications Many enterprises establish the dual-channel distribution system both online and offline, which need to understand how to resolve their channel conflict. The conflict is especially strong in CLSC with remanufacturing. The result helps the node enterprises realize the coordination of the dual-channel CLSC. Originality/value It takes into account the fact that there are two complementary relationships, such as online selling and offline delivery; used product recycling and remanufacturing. The authors optimize the strategy of product pricing and service level in order to solve channel conflict and double marginalization in the closed-loop dual-channel distribution network.

PRICING AND INVENTORY STRATEGIES FOR A TWO-STAGE DUAL-CHANNEL SUPPLY CHAIN

2012 ◽  
Vol 29 (01) ◽  
pp. 1240004 ◽  
Author(s):  
RUN H. NIU ◽  
XUAN ZHAO ◽  
IGNACIO CASTILLO ◽  
TARJA JORO
Keyword(s):  
Supply Chain ◽  
Wholesale Price ◽  
Product Line ◽  
Two Stage ◽  
Web Based ◽  
Dual Channel ◽  
Eoq Model ◽  
Joint Pricing ◽  
Dual Channel Supply Chain ◽  
Offline Channels

The Internet is becoming increasingly important as a sales channel. Thus, most large retail firms have adopted a multi-channel strategy that includes both web-based channels and pre-existing offline channels. In this paper, we consider joint pricing and inventory/production decision problems for members in a monopoly two-stage dual-channel retailer supply chain. For a dual-channel retailer, pricing in one channel will affect the demand in the other channel. This subsequently affects the retailer's replenishment (ordering) decisions, which have an impact on the producer's inventory/production plans and wholesale price decisions. It is clear then that pricing decisions and inventory/production decisions are interacting in each member of the supply chain and among the members in the chain as well. In this paper, we analyze joint pricing and inventory/production problems under three scenarios by incorporating intra-product line price interaction in the EOQ model. We show that a unique equilibrium exists under certain realistic conditions. We also provide numerical results that offer insights for pricing strategies for the dual-channel retailer supply chain and for product design for different channels.

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