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This paper aims to explore product pricing and green promotion effort policies and further analyzes the influences of financing interest rate, green promotion effort and free-riding behavior on the optimal strategies.

Research will be conducted with the aid of Stackelberg game research method, considering that the manufacturer has financial constraints and financing from e-commerce platform, and consumers have dual preferences, based on the two models of no green promotion effort for physical store and green promotion effort for physical store to explore dual-channel green supply chain strategies.

This research puts forward the following findings, in the two models: the rise in financing interest rate leads to an increase in wholesale and selling prices of dual channels and a decrease in demand of dual channels. The green promotion effort has a positive impact on wholesale prices, selling prices and demand of dual channels. The rise of free-riding rate makes offline wholesale and selling prices fall, whereas online wholesale and selling prices rise.

This research results can provide reference for the decision-making in the context of supply chain financing and free-riding.

The aim of this paper is to investigate the effect of information asymmetry on revenue sharing contracts and performance in a dual-channel supply chain. First, the authors model the optimum revenue sharing contract in a dual-channel supply chain under both the full information case and the asymmetric information case. Second, they contrast the optimal decisions of a dual-channel supply chain between the full information case and the asymmetric information case. Third, they explore the impact of asymmetric cost information on the performance of a dual-channel supply chain and investigate the information value.

The authors present two main issues associated with revenue sharing contracts to alleviate manufacturer–retailer conflicts in a dual-channel supply chain. In the first issue, a revenue sharing contract is designed in a dual-channel supply chain under asymmetric cost information conditions, based on the principal-agent model. In the second issue, an optimal revenue sharing contract under full information conditions, based on the Stackelberg game is discussed. They explore the impact of asymmetric cost information on the performance of a dual-channel supply chain and investigate the information value based on comparative static analysis.

First, the direct sale price is unchanged and independent of the retailer’s cost construct, but the wholesale price increases and the retail sale price does not decrease under asymmetric cost information. The information asymmetry leads to higher direct sale demand and lower retail sale demand. Second, information asymmetry is beneficial for the retailer, but imposes inefficiency on the manufacturer and the whole supply chain. Third, the performance of the dual-channel supply chain is improved if the retailer’s cost information is shared and the dual-channel supply chain reaches coordination. The retailer is willing to share its cost information if the lump sum side payment that the manufacturer offers can make up the retailer’s reduced profit due to sharing this information.

The authors proposed a contract menus design model in a dual-channel supply chain. They examine how information asymmetry affects optimal policies and performance. They compared the optimal policies under symmetric information and asymmetric information. Conditions under which the partners prefer sharing information are identified. They quantified the information value from the points of partners and the whole system.

The purpose of this paper is to investigate the impact of fairness concerns of the retailer on the pricing policies of the supply chain partners, their individual profits, and the overall performance of a dual-channel supply chain composed of one manufacturer and one retailer. First, the authors model the dual-channel supply chain under retailer’s fairness concern. Second, the authors derive the optimal pricing policies of the channel members. Third, the authors analyze the effects of retailer’s fairness and bargaining power on the pricing strategies and profit functions of the dual-channel supply chain system.

The authors adopt the manufacturer-led Stackelberg game theoretic framework, where the dominant manufacturer’s pricing decisions are based on the retailer’s pricing decision. The paper considers Nash bargaining solution as the fairness reference point to formulate the utility function of the fair-retailer. The paper uses this approach because it endogenously accounts for the competitive power and cooperative contribution of the channel members when they interact.

The authors find that the retailer’s fairness concerns are not always beneficial for its better performance. If the retailer is moderately sensitive towards its fairness, it will positively influence its performance. However, if the fairness concern becomes too high then it will negatively impact the retailer’s performance because it results in customers’ migration towards direct online channel for buying the products. In addition, if the retailer’s fairness concerns are mild, the manufacturer’s prices will decrease in retailer’s bargaining power, which is opposite otherwise.

The authors use Nash bargaining solution model as the fairness reference in the context of dual-channel supply chain, which is comparatively a recent approach and has been used independently from dual-channel supply chain system.

The purposes of this paper is to propose a customer returns model in a dual-channel supply chain where a customer can return the purchased product to the retailer or the manufacturer and obtain an equilibrium of selling prices and refund prices and the optimal profit when considering customer returns in the centralized and decentralized dual-channel supply chain.

This paper mainly uses the game theory technique to analyze the problem. The manufacturer and the retailer are vertically integrated in the traditional channel, and the results of the centralized dual-channel supply chain are obtained. Then, the Stackelberg game was adopted to analyze the decentralized dual-channel supply chain. Finally, the detailed numerical simulation is proposed to obtain straight-forward insights for the industrial managers.

The mathematic analysis used shows that the main findings of this paper are: in the centralized scenario, the retailer and the manufacturer will charge higher selling prices when they offer return policy, and the demand for each channel increases, which results in higher profit; and the price and refund price of the direct channel in the centralized and decentralized dual-channel are the same, respectively.

Most previous literatures highlight that return policy plays an important role in supply chain which considering one channel. But there is no study on the customer return policy in dual-channel supply chain. This paper is a further step to model the effects of customer returns policy on the pricing policy and optimize the profits in a dual-channel supply chain. This paper analyzes the pricing and refund strategies and gets an equilibrium in the centralized and decentralized dual-channel supply chain scenarios.

This paper aims to investigate the impact of retailer innovation investment and its spillover’s effect on competitive dual-channel supply chain pricing and optimization strategy, and explore the coordination mechanism considering decision maker’s bargaining ability.

The Cournot and Stackelberg game methodology are made use of for the duopoly decentralized and joint decision-making model. The bargaining theory with different negotiation ability was used to analysis the coordination mechanism. Then this paper validates the model by simulation techniques.

The results enlightened some interesting facts, the increase in innovation demand coefficient spur rise in channel pricing, innovation investment level, supply chain profit and consumer welfare. The rise in innovation spillover coefficient leads to increase in online channel pricing, supply chain profit and consumer welfare. Due to the innovation spillover effect, retailer has to maintain channel competitiveness either through low price or high innovation investment strategies. In addition, online channel pricing, supply chain profit and consumer welfare in joint decision-making scenario is greater than that of decentralized decision-making scenario, while the difference in retailer channel pricing depends on parameters value. The increase in retailer’s joint negotiation factor leads to decrease in channel pricing and innovation investment level. Furthermore, there existence of an optimal innovative investment cost sharing proportion threshold indicates the achievement of dual-channel supply chain coordination. A refinement equilibrium can be achieved through Robinstein bargaining game. A larger interest discount factor leads to decrease in profit.

The research provides a theoretical reference for dual-channel supply chain pricing and coordination strategy under channel competition environment. The research can develop innovative investment strategies for retailers and implement response strategies for manufacturers.

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.

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.

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.

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.

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.

From the quantum game perspective, this paper aims to study a green product optimal pricing problem of the dual-channel supply chain under the cooperation of the retailer and manufacturer to reduce carbon emissions.

The decentralized and centralized decision-making optimal prices and profits are obtained by establishing the classical and quantum game models. Then the classical game and quantum game are compared.

When the quantum entanglement is greater than 0, the selling prices of the quantum model are higher than the classical model. Through theoretical research and numerical analysis results, centralized decision-making is more economical and efficient than decentralized decision-making. Publicity and education on carbon emission reduction for consumers will help consumers accept carbon emission reduction products with slightly higher prices. When the emission reduction increases too fast, the cost of emission reduction will form a significant burden and affect the profits of manufacturers and supply chain systems.

From the perspective of the quantum game, the author explores the optimal prices of green product and compares them with the classical game.

This 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.

Three differential game models, namely no coupon is offered, coupons offered by the manufacturer and coupons offered by the retailer, are constructed.

The 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.

This paper provides guidance and advice for dual-channel supply enterprises to implement joint pricing and coupon promotion strategies under multiple sales seasons.

This paper aims to explore optimal pricing policies and characteristics of a two-level dual-channel supply chain under price- and delivery time-sensitive demand. Besides price of the product, the delivery lead time is also a crucial factor in customers’ purchase decisions. A longer delivery lead time would diminish customers’ acceptance and faithfulness on the online channel, while a shorter delivery lead time would lead to incorporation of a substantial amount of logistics costs. In formulation of mathematical model, the effects of delivery lead time on the manufacturer and the retailer’s pricing strategies and profits in cooperative and non-cooperative dual-channel supply chain are explained analytically.

The analytical models are formed for both non-cooperative and cooperative scenarios under inconsistent and consistent pricing. The authors examine whether revenue sharing (RS) contract or delivery cost sharing contract can solely coordinate the dual-channel supply chain. If a single contract fails, then the combination of RS contract with delivery cost sharing to achieve channel coordination is discussed.

It is found that the RS or delivery cost sharing contract cannot coordinate the channel individually but revenue and delivery cost sharing contract jointly coordinate the channel. All analytical results are illustrated numerically, along with sensitivity analysis.

There are many correlated issues that need to be further investigated. First, one good extension to this research may include the consideration of the channel structure with competitive retailers. It will be interesting to analyze the performance of coordination mechanisms by considering the retailer as a Stackelberg leader in retailing.

The findings and subsequent methodological discussions aim to provide practical guidance to retailers who are allowing customers to choose how, when and where they interact and purchase by offering a combination of websites (fully functional and mobile-enabled), catalogs and stores with increasing convergence of channels.

The purpose of this paper is to investigate the pricing strategy and the impact of agents' risk preference in a dual-channel supply chain in which both agents are risk-averse.

The authors make use of the mean-variance (MV) method to measure the risk aversion of the agents and apply Stackelberg game to obtain the optimal strategies of the proposed models. Furthermore, the authors compare the optimal strategies with that in the benchmark model in which no agent is risk-averse.

The authors find that the pricing decisions can be divided into four categories according to the risk attitudes of the agents: the decisions that are independent of two agents' risk attitudes, the decisions that depend on only one agent’s risk attitude (i.e. depend on only manufacturer's risk attitude and depend on only retailer's risk attitude) and the decisions that depend on both agents' risk attitudes. In addition, the authors find that the retail price will be lower and the wholesale price in most cases will be lower than that in the benchmark when at least one agent's risk control is effective; the demand will be always increasing as long as one agent's risk control is effective. Furthermore, compared to the benchmark, a win-win strategy (i.e. Pareto improvement) for the supply chain members can be obtained in a certain range where the agents' risk controls are appropriate.

This research provides a theoretical reference for the managers to make the pricing decisions and the risk control in dual-channel supply chains with heterogeneous preference consumers.