scholarly journals Complexity and Entropy Analysis of a Multi-Channel Supply Chain Considering Channel Cooperation and Service

Entropy ◽  
2018 ◽  
Vol 20 (12) ◽  
pp. 970 ◽  
Author(s):  
Qiuxiang Li ◽  
Xingli Chen ◽  
Yimin Huang
Keyword(s):  
Supply Chain ◽  
Stackelberg Game ◽  
Equilibrium Points ◽  
Service Level ◽  
Stability Domain ◽  
Largest Lyapunov Exponent ◽  
Game Model ◽  
Nash Game ◽  
Profit Distribution ◽  
The Stability

In this paper, based on the background of channel cooperation and service of the supply chain, this paper constructs a Nash game model and a Stackeberg game model in the multi-channel supply chain considering an online-to-store channel (OSC). Based on maximizing the profits and the bounded rationality expectation rule (BRE), this paper builds a dynamic game model, respectively, and analyzes the stability of the equilibrium points by mathematical analysis and explores the influences of parameters on stability domain and entropy of the system by using bifurcation diagram, the entropy diagram, the largest Lyapunov exponent and the chaotic attractor etc. Besides, the influences of service level and profit distribution rate on system’s profit are discussed. The theoretical results show that the greater the service level and profit distribution rate are, the smaller the stability domain of the system is; the system will go into chaotic state and the system’s entropy will increase when operators adjust her/his price decision quickly; when the manufacturer or the retailer keeps service level in the appropriate value which is conducive to maximizing her/his profit; the manufacturer should carefully set the service level of OSC to ensure the system’s profit; in Nash game model, the stability of the system weakens than that in Stackelberg game model. Furthermore, this paper puts forward some suggestions to help the manufacturer and retailer in multi-channel supply chain to do the better decision.

scholarly journals Decision-making of online channels under three power structures

2020 ◽  
Vol 53 (3-4) ◽  
pp. 296-310
Author(s):  
Xingxing Jia
Keyword(s):  
Supply Chain ◽  
Stackelberg Game ◽  
Wholesale Price ◽  
Service Level ◽  
Power Structures ◽  
Nash Game ◽  
Online Marketplace ◽  
Shopping Experience ◽  
The Difference ◽  
Channel Service

In recent years, e-commerce has developed rapidly. Many manufacturers are beginning to integrate with the Internet and regard online platforms, such as online marketplaces and self-owned online malls, as important sale channels for their products. Considering the difference of shopping experience between the two online channels, this paper models price and service competition between the two channels. This paper discusses the decisions of supply chain participants with three power structures, that is, the manufacturer Stackelberg game, the online marketplace firm Stackelberg game, and the Nash game. The results show that the channel service level and the consumer sensitivity to channel service positively affect the channel price and demand. We characterize a threshold for the wholesale price. When the wholesale price is below the threshold, the channel prices are lowest in the Nash game, and when the wholesale price is greater than the threshold, the channel prices are lowest when the manufacture acts as the leader. Differentiated services can improve the supply chain participants’ profits and the system’s profit compared with the same service. More interestingly, this paper finds that the online marketplace firm should pay attention to improving its service level, while the manufacturer should pay attention to other work differently, such as focusing on generating promotional value and shaping corporate brand image by the self-owned online mall channel.

scholarly journals The Complexity Entropy Analysis of a Supply Chain System Considering Recovery Rate and Channel Service

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 659 ◽  
Author(s):  
Li ◽  
Shi ◽  
Deng ◽  
Huang
Keyword(s):  
Supply Chain ◽  
Recovery Rate ◽  
Closed Loop ◽  
Stackelberg Game ◽  
Dynamic State ◽  
Game Model ◽  
Waste Products ◽  
Service Value ◽  
Dual Channel ◽  
The Stability

In this paper, we study a dual-channel closed-loop supply chain in which a manufacturer considers the market waste products recovery and remanufacture, and a retailer considers provide services to customers. We build a Stackelberg game model and a centralized game model in a static and dynamic state, respectively, and analyze the two dynamic models by mathematical analysis and explore the stability and entropy of the two models using bifurcation, the basin of attraction, chaotic attractors, and so on. The influences of service level and profit distribution rate on the system’s profit are discussed. The theoretical results show that higher price adjustment speed will lead to the system lose stability with a larger entropy value. In the Stackelberg game model, the stability of the system increases as the service value and the recovery rate increases; in the centralized model, the stability of the system decreases with the increase of the service value and increases with the recovery rate increases. When the Stackelberg game model is in a stable state, the manufacturer’s profit increases first and then decreases, and the retailer’s profit first decreases and then increases as the service value of the retailer increases. The research will serve as good guidance for both the manufacturer and retailer in dual-channel closed-loop supply chains to improve decision making.

The dynamic decision in risk-averse complementary product manufacturers with corporate social responsibility

Kybernetes ◽  
2016 ◽  
Vol 45 (2) ◽  
pp. 244-265 ◽  
Author(s):  
Yimin Huang ◽  
Liang Liu ◽  
Ershi Qi
Keyword(s):  
Decision Making ◽  
Stackelberg Game ◽  
Decision Making Process ◽  
Game Model ◽  
Risk Averse ◽  
Nash Game ◽  
Content Type ◽  
Complementary Product ◽  
The Stability ◽  
Corporate Social

Purpose – The problem of manufacturer-customer relationships is becoming the key factor of enterprise development, and the contradiction between manufacturer’s objective and customer’s satisfaction still exists. Customers claim for product safety from manufacturers, so manufacturers should take corporate social responsibility (CSR) into their company philosophy or even enhance the degree of CSR during their production. The purpose of this paper is to investigate the influences of parameters on the stability of risk-averse complementary product manufacturers. Design/methodology/approach – In this study, three dynamic game models are developed: manufacturer 1 – leader Stackelberg game model, manufacturer 2 – leader Stackelberg game model and Nash game model. Using bifurcation diagrams, the largest Lyapunov exponent, 0-1 test for chaos and parameter basin plots, the influences of parameters on the complex behaviors of the three models are analyzed. Findings – The authors demonstrate that the system exists in deterministic chaos when the parameter exceeds a certain value. The lead manufacturer will not be a beneficiary in chaotic state, and when two manufacturers have the same status the stability of the system weakens, which renders it easily chaotic. Research limitations/implications – In this paper, the authors make some assumptions, which when applied broadly could lead to some findings. Practical implications – The authors find that the lead manufacturer will derive the greatest profit and will exert the least effort compared with the follower manufacturer, but that both manufacturers will exert greater effort in the Nash game. The two manufacturers should be cautious while selecting the parameter ' s value so that the stability of the system is maintained. Social implications – The research will serve as a guide for the two complementary manufacturers in their decision-making process. Originality/value – The originality and value of the research rest on the use of dynamic thinking in ensuring stability in the quality of complementary products considering the firms’ market powers. The research will serve as a guide for the two complementary manufacturers in their decision-making process.

scholarly journals Single-Manufacturer Multi-Retailer Supply Chain Models with Discrete Stochastic Demand

2021 ◽  
Vol 13 (15) ◽  
pp. 8271
Author(s):  
Yaqing Xu ◽  
Jiang Zhang ◽  
Zihao Chen ◽  
Yihua Wei
Keyword(s):  
Dynamic Programming ◽  
Supply Chain ◽  
Computational Complexity ◽  
Stackelberg Game ◽  
Programming Model ◽  
Dynamic Programming Method ◽  
Game Model ◽  
Chain Model ◽  
Stochastic Demands ◽  
Demand Models

Although there are highly discrete stochastic demands in practical supply chain problems, they are seldom considered in the research on supply chain systems, especially the single-manufacturer multi-retailer supply chain systems. There are no significant differences between continuous and discrete demand supply chain models, but the solutions for discrete random demand models are more challenging and difficult. This paper studies a supply chain system of a single manufacturer and multiple retailers with discrete stochastic demands. Each retailer faces a random discrete demand, and the manufacturer utilizes different wholesale prices to influence each retailer’s ordering decision. Both Make-To-Order and Make-To-Stock scenarios are considered. For each scenario, the corresponding Stackelberg game model is constructed respectively. By proving a series of theorems, we transfer the solution of the game model into non-linear integer programming model, which can be easily solved by a dynamic programming method. However, with the increase in the number of retailers and the production capacity of manufacturers, the computational complexity of dynamic programming drastically increases due to the Dimension Barrier. Therefore, the Fast Fourier Transform (FFT) approach is introduced, which significantly reduces the computational complexity of solving the supply chain model.

scholarly journals Pricing Policies in a Retailer Stackelberg O2O Green Supply Chain

2020 ◽  
Vol 12 (8) ◽  
pp. 3236
Author(s):  
Gan Wan ◽  
Gang Kou ◽  
Tie Li ◽  
Feng Xiao ◽  
Yang Chen
Keyword(s):  
Supply Chain ◽  
Stackelberg Game ◽  
Good Combination ◽  
Green Supply Chain ◽  
Game Model ◽  
Mathematical Function ◽  
Pricing Strategies ◽  
Direct Channel ◽  
Retail Channel ◽  
Offline Channels

Due to the popularization of the concept of “new retailing”, we study a new commercial model named O2O (online-to-offline), which is a good combination model of a direct channel and a traditional retail channel. We analyze an O2O supply chain in which manufacturers are responsible for making green products and selling them through both online and offline channels. The retailer is responsible for all online and offline channels’ orders, and the manufacturer gives the retailer a fixed fee. We construct a mathematical function model and analyze the greenness and pricing strategies of centralized and decentralized settings through the retailer Stackelberg game model. Due to the effects of the double marginalization of supply chain members, we adopt a simple contract to coordinate the green supply chain. The paper’s contributions are that we obtain pricing and greening strategies by taking the cooperation of offline channels and online channels into consideration under the O2O green supply chain environment.

Revenue Sharing Contract of Green Supply Chain under Manufacturer Risk-Aversion

2014 ◽  
Vol 697 ◽  
pp. 482-487
Author(s):  
Shi Ying Jiang ◽  
Chun Yan Ma
Keyword(s):  
Decision Making ◽  
Supply Chain ◽  
Risk Aversion ◽  
Stackelberg Game ◽  
Wholesale Price ◽  
Revenue Sharing ◽  
Green Supply Chain ◽  
Game Model ◽  
Product Price ◽  
Revenue Sharing Contract

Background on two stages green supply chain consisting of a manufacturer and a retailer, considering the degree of risk aversion and product greenness, consumer preferences and other factors, the centralized decision-making game model and manufacturer-leading Stackelberg game model are established.Then two game models are compared. The interaction of product greenness, wholesale price, product price,and risk aversion utility for manufacturers and retailers are also disscussed. Finally, the revenue sharing contract is applied to coordinate the green supply chain . The results show that:(1) In the centralized decision-making model, there is a critical value of the product green degree; (2)In manufacturer-leading Stackelberg game model, the higher the green degree of the product, the higher the manufacturer's wholesale price,and the wholesale price increases as risk aversion degree of manufacturers improves;(3)The revenue sharing contract can coordinate this type of green supply chain under manufacturers risk-averse.

scholarly journals Research on Pricing Decision of Direct Sales Green Supply Chain Based on Consumers’ Valuation

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Yong-Gang Ye ◽  
Xiao-Feng Liu
Keyword(s):  
Supply Chain ◽  
Simulation Analysis ◽  
Stackelberg Game ◽  
Game Model ◽  
Direct Sales ◽  
Equilibrium Prices ◽  
Theoretical Support ◽  
Pricing Decision ◽  
Negative Effect ◽  
Product Valuation

Consumer’s valuation of merchandise is an important factor affecting consumer buying behavior. When the consumer’s valuation exceeds the price of product, the consumer generally makes a decision to purchase the product; conversely, when the consumer’s estimate is lower than the price of product, the consumer will usually refuse to buy the product. From the perspective of consumer product valuation, this study assumed that the consumer’s product valuation obeys a uniform distribution, and a novel consumer demand function was proposed. On this basis, we studied enterprises’ pricing decisions in the supply chain of green agricultural products and obtained the equilibrium prices and optimal profits of the enterprises in several different scenarios, including Vertical Nash game model (VNM), firm A Stackelberg game model (FASM), firm B Stackelberg game model (FBSM), and cooperative game model (CM). In addition, the influence of parameters, such as green level, green preference payment coefficient, and green cost on the optimal profit, was discussed based on game theory and numerical simulation analysis. It was found that equilibrium prices always existed in several different scenarios, and when consumer’s green preference payment coefficient was large enough, the optimal profit of firm B was greater than the optimal profit of firm A. Furthermore, in CM, the sum of optimal profit of firm A and optimal profit of firm B is maximum for four scenarios. Finally, in the three competitive scenarios, green level, green preference payment coefficient, and green cost, have a positive or negative effect on the optimal profits of firm A or firm B. The research conclusions of this study provided theoretical support for the decision-making of enterprises and related management departments.

scholarly journals Managing a 5G mobile phone supply chain under the impact of strategic consumers: A two-period game analysis and applications

2021 ◽  
Author(s):  
Qin Zhang ◽  
Zijian He ◽  
Junhai Ma
Keyword(s):  
Supply Chain ◽  
Mobile Phone ◽  
Stackelberg Game ◽  
Great Influence ◽  
Purchasing Behavior ◽  
Optimal Price ◽  
Nash Game ◽  
Strategic Consumers ◽  
Game Analysis ◽  
The Impact

Consumers' strategic purchasing behavior has a great influence on the pricing and sales of new products. In order to study the impact of strategic consumers on the sales of 5G mobile phones, we establish a two-period pricing model. The supply chain contains two manufacturers, a communications operator and a mobile phone retailer. Cases where two manufacturers have the same or different pricing rights are researched by using the Stackelberg game and the Nash game model. Our research results are as follows:(1) We obtain the optimal 5G communication fees in two periods and find out how they change with the proportion of consumers changing. (2) We figure out the profits of the supply chain in two periods and analyze them. We find that the communication operator earns more than the others most of the time. (3) We investigate how the proportion of strategic consumer impact on supply chain profits and conclude that the optimal price and demand in a period will decrease as the proportion of consumers who only purchase products in the other period increases.

scholarly journals Horizontal Coalition Stability Analysis of Supply Chain Entities Based on Sequential Game

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Shizhao Wang ◽  
Yong Luo
Keyword(s):  
Supply Chain ◽  
Wholesale Price ◽  
Market Price ◽  
Sensitivity Coefficient ◽  
Game Model ◽  
Nash Game ◽  
Sequential Game ◽  
Second Stage ◽  
Coalition Stability ◽  
Reasonable Range

Aiming to find the effect of the same status entities’ horizontal coordination on supply chain, this paper studied the coalition stability of dealers in a two-stage supply chain with one supplier and multiple dealers. First, a vertical sequential game model is built, where the supplier is leader and the multiple dealers are followers. In the second stage of the game, multiple dealers face two selections: playing Nash game with each other or developing a coalition. Then, according to the results acquired by comparing the dealers’ profits which depend on their coalition situations, the criterion of coalition stability is developed. Finally, numerical simulation is used to verify the validity of the model, and some insights are obtained. For example, if the sensitivity coefficientTof the market price is fixed, dealers’ coalition tends to be stable with the increasing of the substitution ratekin a reasonable range; the supplier’s optimal wholesale price is constant with and without dealer’s coalition, but dealers’ coalition causes demand to decrease, which leads to the decrease of the supplier’s profit too. The result of this paper provides an important reference for the formation of dealers’ coalition in IT or automobile supply chain.

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