制造商与两个具有竞争性的零售商的两阶段博弈模型

针对一个制造商和两个具有竞争性的零售商组成的供应链两阶段博弈模型.首先考虑下游零售商之间的Stackelberg博弈,然后又以整体最优讨论制造商为主导的Stackelberg博弈的两阶段博弈模型.数字实验结果表明:该策略不仅能提高制造商的利润,而且能改善销售商的利润,特别是对于供应链成员之间具有较高的竞争强度.     

不同博弈框架下多竞争零售商的双渠道供应链定价决策研究

在Bertrand竞争、Stackelberg竞争及集中决策下,研究由单制造商与多竞争零售商组成的双渠道供应链的定价决策问题。运用两阶段优化技术、博弈论及矩阵论,讨论了多竞争零售商与单制造商在价格方面相互竞争的问题,给出不同市场竞争模式及集中决策下供应链成员的博弈均衡解。对比不同博弈框架及集中决策下供应链成员的定价决策,通过数值实验分析了价格敏感度及零售商个数对最优定价决策和最大利润影响,给出一些管理学理论与见解,为双渠道供应链中各成员的管理者制定最优决策提供理论支持。     

A note on equilibria for two-tier supply chains with a single manufacturer and multiple retailers

A well-studied problem in the supply chain management literature considers a two-tier supply chain for a homogeneous product with a single manufacturer, multiple retailers and a general inverse demand function. The problem has been analyzed in the literature without a formal mathematical treatment of the existence/uniqueness of equilibria. Furthermore, the existence/uniqueness results derived for related models are not extendable to our model. The objective of this paper is to derive sufficient conditions for the existence/uniqueness of Stackelberg–Nash–Cournot equilibria for the two-tier problem.     

Game-theoretic analyses of decentralized assembly supply chains: Non-cooperative equilibria vs. coordination with cost-sharing contracts

This paper considers a multiple-supplier, single manufacturer assembly supply chain where the suppliers produce components of a short life-cycle product which is assembled by the manufacturer. In this single-period problem the suppliers determine their production quantities and the manufacturer chooses the retail price. We assume that the manufacturer faces a random price-dependent demand in either additive or multiplicative form. For each case, we analyze both simultaneous-move and leader–follower games to respectively determine the Nash and Stackelberg equilibria, and find the globally-optimal solution that maximizes the system-wide expected profit. Then, we introduce appropriate buy-back and lost-sales cost-sharing contracts to coordinate this assembly supply chain, so that when all the suppliers and the manufacturer adopt their equilibrium solutions, the system-wide expected profit is maximized.     

基于批发价契约的多零售商横向转载的供应链协调

研究了多零售商横向转载的供应链批发价契约协调问题。以包含一个制造商和多个零售商的供应链系统为研究对象,基于批发价契约研究了零售商转载下的供应链协调问题,获取了批发价契约可以协调零售商存在横向转载的供应链的理论证据,并给出了相应的产生供应链协调的条件,详细分析了协调情形下供应链系统最优订货量与多零售商无转载及单报童等情形下的最优订货量之间的关系。进一步研究了制造商与零售商在Stackelberg博弈下,零售商横向转载对制造商收益的影响,并提出了在Stackelberg博弈模型中,批发价契约也有可能促使制造商选择供应链系统最优订货量所对应的批发价格,使得供应链协调,且给出了此种协调产生的具体条件。数值算例则对两种供应链协调情形下的订货量、批发价格及期望收益进行了计算与仿真。研究表明,批发价契约可能会使得多零售商存在转载的供应链实现协调,传统的双重边际化效应将会由于制造商和零售商的理性而被弱化。     

Manufacturer’s revenue-sharing contract and retail competition

This paper investigates a revenue-sharing contract for coordinating a supply chain comprising one manufacturer and two competing retailers. The manufacturer, as a Stackelberg leader, offers a revenue-sharing contract to two competing retailers who face stochastic demand before the selling season. Under the offered contract terms, the competing retailers are to determine the quantities to be ordered from the manufacturer, prior to the season, and the retail price at which to sell the items during the season. The process of pricing and ordering is expected to result in an equilibrium as in the Bayesian Nash game. On the basis of anticipated responses and actions of the retailers, the manufacturer designs the revenue-sharing contract. Adopting the classic newsvendor problem model framework and using numerical methods, the study finds that the provision of revenue-sharing in the contract can obtain better performance than a price-only contract. However, the benefits earned under the revenue-sharing contract by different supply chain partners differ because of the impact of demand variability and price-sensitivity factors. The paper also analyses the impact of demand variability on decisions about optimal retail price, order quantity and profit sharing between the manufacturer and the retailers. Lastly, it investigates how the competition (between retailers) factor influences the decision-making of supply chain members in response to uncertain demand and profit variability.     

Contracting with demand uncertainty under supply chain competition

We examine supply chain contracts for two competing supply chains selling a substitutable product, each consisting of one manufacturer and one retailer. Both manufacturers are Stackelberg leaders and the retailers are followers. Manufacturers in two competing supply chains may choose different contracts, either a wholesale price contract in which the retailer??s demand forecasting information is not shared, or a revenue-sharing contract in which the retailer??s demand forecasting information is shared. Under supply chain competition and demand uncertainty, we identify which contract is more advantageous for each supply chain, and under what circumstances.     

基于最优让步均衡协调策略的供应链差价补偿机制研究

制造商为了激励零售商订购更多数量的产品,会在产品零售价下调时提供给零售商一定的补偿,如何制定最优补偿机制是提高供应链收益的关键问题.为此,建立了两阶段销售差价补偿机制下制造商与零售商的博弈模型,分析了纳什均衡解和Stackelberg均衡解下制造商对零售商的差价补偿机制的决策行为,导出了在最优让步均衡策略下差价补偿机制...     

碳交易规制下信息不对称供应链的减排和低碳推广博弈研究

论文在碳交易规制下,研究单一制造商和双零售商组成的供应链减排与低碳推广决策以及零售商对制造商的成本信息分享问题,分析了零售商对制造商分享成本信息的条件,及不同情形下的制造商减排和零售商低碳推广策略。研究发现:零售商的最优低碳推广水平只与自身相关参数有关,零售商只有在自身低碳推广效率足够高时才会与制造商分享信息;制造商最优减排量随消费者低碳意识、碳交易价格、零售商低碳推广效率及其不确定性增大而提高,随零售商之间竞争程度提高而降低;无论零售商是否对制造商分享成本信息,供应链成员的最优利润随零售商之间竞争程度提高而增加,随消费者低碳意识、碳交易价格提高而提高;零售商低碳推广效率的不确定性越大则制造商的最优利润越低,零售商的最优利润越高;仅一家零售商分享成本信息时,制造商无法通过转移支付使另一家零售商与其分享信息。     

基于消费者偏好的低碳双渠道供应链定价与减排策略

在考虑消费者渠道偏好和低碳偏好的基础上,使用以制造商为主的Stackelberg博弈模型,研究了单一传统零售渠道、网上直销双渠道和网上分销双渠道中各成员的最优定价决策与减排策略,以及两种双渠道的利润分享协调策略。研究发现:当制造商引入网上直销和分销渠道后,能够有效增加制造商的最优单位减排量;在开通新的渠道后,传统零售商的利润总是会降低,而当消费者对网上销售渠道的偏好处于某一范围内时,制造商的利润会增加。本文通过设计利润分享机制来协调制造商和传统零售商的利润问题,使得供应链成员的利润实现Pareto改进。     

Volume discount pricing strategy in the VMI supply chain with price sensitive demand

This paper develops a volume discount scheme to coordinate Vendor Managed Inventory (VMI) supply chains with multiple heterogeneous retailers, in which the supply chain is modelled as a Stackelberg game with price sensitive demand. The paper proposes a method to construct a volume discount price scheme and shows that, any volume discount can be represented as a piecewise constant function of demand. We provide the game formulations of VMI supply chains and develop algorithms to solve this type of game problems, including finding the optimal volume discount scheme. Through a numerical study comparing the results of applying a volume discount strategy with the profits from a single wholesale price strategy, we show that the volume discount pricing strategies can be used to improve profits for all participants in the VMI supply chain in comparison with single price strategies.     

基于学习效应的供应链信息共享研究

供应链中存在着广泛的信息共享,既包括上下游企业间的纵向性共享,也包括同层企业间的横向信息共享.以一个具有学习效应的供应链为研究对象,为研究信息共享对分散型供应链中零售商决策的影响,提出了一个具有横向信息共享的供应链模型.以Cournot博弈为研究手段,求解了零售商的均衡订货决策和信息共享策略.在此模型中,生产商为多个零售商提供类似的产品,每个零售商具有自己独立的终端市场.零售商面对单周期需求,该需求可以在本周期内满足或者在第二阶段延迟交货.由于学习效应的存在,第二阶段生产商的批发价格是第一阶段总订货量的减函数.零售商在观察到自身的需求之前,达成信息共享的协议.研究结果表明,当第一阶段的均衡订货数量低于需求时,零售商间无共享私有信息的动机,该结果和寡头模型信息共享的相关结果相反.除此之外,在一个总体需求稳定的市场中,信息共享的影响随着零售商数量的增加而递减.此结果对企业在不同市场情况下选择信息共享策略具有重要价值.     

基于风险偏好的供应链企业社会责任投入与定价策略研究

本文研究制造商承担企业社会责任时,竞争市场下供应链的均衡价格策略。通过Stackelberg博弈模型,探讨供应链成员的风险规避程度、竞争市场的需求波动性和竞争市场的需求相关性以及制造商企业社会责任水平对供应链均衡策略的影响。研究表明,在制造商承担企业社会责任时,风险规避程度对价格策略的影响依赖于制造商企业社会责任水平的高低;竞争市场的需求波动性较大或竞争市场需求相关性较高时,制造商向下游风险规避型零售商提供较低的批发价格合约, 此时产品的市场价格降低,消费者福利增加;当制造商的生产成本较低时,承担越高的企业社会责任导致消费者福利增加;反之,当制造商的生产成本较高时,消费者福利总是减少。     

Channel Coordination with Cooperative Advertising Considering Effect of Advertising on Willingness to Pay

In this paper, cooperative advertising in a manufacturer–retailer supply chain is studied. Advertising can enhance willingness to pay (WTP) of customers. This trade-off between the benefits of increasing WTP of customers and the advertising expenditure is a key to understanding the retailers optimal advertising decision. On the other hand, it is interesting to understand in which condition supporting the retailer for his advertising expenditure is beneficial for the manufacturer. In this study, in order to capture pricing and advertising strategies of the channel member, three non-cooperative games including Nash, Stackelberg retailer and Stackelberg manufacturer game-theoretic models are established. In spite of the related studies which restrict price in order to prevent negative demand, the proposed model allows channel members to increase their prices by enhancing WTP of customers. In this study, contrary to similar additive form demand functions applied in the co-op ad literature which limits their studies for cases that profit function is concave with respect to variables, optimal prices and advertising strategies are obtained for all the solution space. Surprisingly for the very high values of the advertising effect coefficient, a finite optimal advertising expenditure is achieved.     

Game theoretic analysis of pricing and vertical cooperative advertising of a retailer-duopoly with a common manufacturer

This paper considers competition of duopolistic retailers, who sell substitutable products supplied by a single manufacturer offering a vertical cooperative advertising program. The price-dependent component of the demand function is derived from the consumers’ utility function in order to avoid logically inconsistent results. Additionally, each supply chain member can increase the costumers’ demand by advertising. By means of game theory, we get the following results: (a) Retailer competition harms all players, but is beneficial to the consumers. (b) Stronger competition is followed by less advertising. (c) Channel-leadership is not always advantageous to the manufacturer, and—likewise—retailers can also be better off when accepting followership. However, as our analysis shows, the increased complexity of the model under consideration reaches the limits of an analytical solution. Therefore, we give a brief outlook on non-nalytical solution methods for Nash and Stackelberg games, that could be used in future research, in the end of our paper.     

收益共享的寄售契约下供应商生产成本谎报行为分析

在收益共享寄售契约下的两级供应链中,供应商向零售商报告其生产成本;零售商根据供应商报告的生产成本,决定零售商的收益分配比例;供应商决定零售价格和生产数量,并且保持产品的所有权.由于信息不对称,供应商可能谎报其生产成本.作者应用博弈论分析了供应商谎报行为对供应链及其成员决策及绩效的影响.利用解析的方法得出一些理论结果:零售价格在信息对称时小于生产成本信息不对称时;订货数量在信息对称时大于生产成本信息不对称时;零售商的利润分配比例在信息对称时大于生产成本信息不对称时.供应商的谎报行为使其自身利润增加,使零售商和供应链的利润减少.     

Price discount based on early order commitment in a single manufacturer–multiple retailer supply chain

Early order commitment (EOC) is a strategy for supply chain coordination, wherein the retailer commits to purchasing from a manufacturer a fixed order quantity a few periods in advance of the regular delivery lead time. In this paper, we formulate and analyze the EOC strategy for a decentralized, two-level supply chain consisting of a single manufacturer and multiple retailers, who face external demands that follow an autocorrelated AR(1) process over time. We characterize the special structure of the optimal solutions for the retailers’ EOC periods to minimize the total supply chain cost and discuss the impact of demand parameters and cost parameters. We then develop and compare three solution approaches to solving the optimal solution. Using this optimal cost as the benchmark, we investigate the effectiveness of using the wholesale price-discount scheme for the manufacturer to coordinate this decentralized system. We give numerical examples to show the benefits of EOC to the whole supply chain, examine the efficiency of the discount scheme in general situation, and provide the special conditions when the full coordination is achieved.     

考虑释放时间的单机JIT调度问题

本文主要研究二级供应链中的生产-库存-直接配送协同调度问题,其中存在一个制造商和多个零售商, 制造商根据订单进行生产, 然后将产品配送给零售商。该类问题可以抽象为考虑释放时间的单机JIT调度问题。借助于禁忌搜索算法, 本文提出了求解问题的CTA-TS算法, 并通过大量的实验数据与已有算法进行比较,说明了本文提出算法的有效性。     

A Stackelberg game and its improvement in a VMI system with a manufacturing vendor

Vendor managed inventory (VMI) is an inventory management strategy to let a vendor manage his retailers’ inventories, which makes the vendor have the opportunity to obtain some inventory and market-related information of his retailers. This paper discusses how the vendor can take advantage of this information for increasing his own profit by using a Stackelberg game in a VMI system. The vendor here is a manufacturer who procures raw materials to produce a finished product and supplies it at the same wholesale price to multiple retailers. The retailers then sell the product in independent markets at retail prices. Solution procedures are developed to find the Stackelberg game equilibrium that each enterprise is not willing to deviate from for maximizing his own profit. The equilibrium makes the manufacturer benefited, and the retailers’ profits maximized. The equilibrium can then be improved for further benefiting the manufacturer and his retailers if the retailers are willing to cooperate with the manufacturer by using a cooperative contract. Finally, a numerical example and the corresponding sensitivity analysis are given to illustrate that: (1) the manufacturer can benefit from his leadership, and monopolize the added profit of the VMI system in some cases; (2) The manufacturer can further improve his own profit, and then the retailers’ profits by the cooperative contract, as compared to the Stackelberg equilibrium; (3) market and raw material related parameters have significant influence on every enterprise’s net profit.     

一种带有生产费用扰动的供应链协调问题

本文研究了一个生产两个竞争零售商的供应链在生产费用发生扰动下的协调问题．生产费用发生扰动后，零售商的投资额与生产商的生产数量都会和原计划不同．研究发现批发价加投资补贴率的合同可以协调扰动后的供应链，通过调整批发价和补贴率，可使供应链总的利润在生产商与两个零售商之间分配，并用数值模拟分析了所得结果的合理性．