Supply Chain Coordination in the Presence of Gray Markets and Strategic Consumers

The practice of diverting genuine products to unauthorized gray markets continues to challenge companies in various industries and creates intense competition for authorized channels. Recent industry surveys report that the abuse of channel incentives is a primary reason for the growth of gray market activities. Therefore, it is crucial that companies take the presence of gray markets into consideration when they design contracts to distribute products through authorized retailers. This issue has received little attention in the extensive literature on contracting and supply chain coordination. In this study, we analyze the impacts of gray markets on two classic contracts, wholesale price and quantity discount, in a supply chain with one manufacturer and one retailer when the retailer has the opportunity to sell to a domestic gray market. Our analysis provides interesting and counterintuitive results. First, a classic quantity‐discount contract that normally coordinates the supply chain can perform so poorly in the presence of a gray market that the supply chain would be better off using a wholesale price contract instead. Second, the presence of gray market can also degrade the performance of the wholesale price contract; therefore, a more sophisticated contract is needed for coordinating the supply chain. We show that contracts that solely depend on retailer's order quantity cannot coordinate the supply chain, and provide the conditions for coordinating the supply chain with price‐dependent quantity discount contracts. We also provide comparative statics and show that when there is a gray market, coordinating the supply chain enhances total consumer welfare.     

随机需求和联合促销下双渠道供应链的竞争与协调

针对制造商同时拥有零售渠道和网上直销渠道的双渠道供应链系统,在随机需求和联合促销情况下,对制造商和零售商之间的价格竞争和协调问题进行研究.研究表明价格的纳什均衡解存在,网上渠道的最优价格随零售商促销努力程度的增大而降低.当制造商分担促销成本的比例上升时,零售商促销的努力程度会增加.当比例值较低时,零售商的努力程度变化不大;当比例值超过一定数值时,零售商的努力程度会显著增加.回购契约能给制造商和零售商双方带来好处,但不能实现双渠道供应链的协调.     

Differential Pricing for Information Sharing Under Competition

We consider a two‐echelon supply chain with a manufacturer supplying to multiple downstream retailers engaged in differentiated Cournot competition. Each retailer has private information about uncertain demand. The manufacturer is the Stackelberg leader who sets the contract terms with the retailers, and benefits from retailers sharing their private information. When all retailers are given the same wholesale price, truthful information sharing is not an equilibrium outcome. We propose two variants of differential pricing mechanisms that induce truthful information sharing by all retailers. The first variant rewards a retailer for providing optimistic information and achieves truthful information sharing as a unique equilibrium. The differential pricing mechanism is optimal in the class of linear‐price, incentive‐compatible, direct mechanisms. The second variant, which incorporates provision for a fixed payment in addition to wholesale prices, preserves all the equilibrium properties of the first variant and additionally “nearly coordinates” the supply chain. Our analysis of differential pricing with a fixed payment provides interesting observations regarding the relationship between product substitutability, number of retailers, information precision, and market power. As products become closer substitutes and/or number of retailers increase, the manufacturer's market power increases, enabling her to extract a larger fraction of the supply chain surplus.     

Life‐Cycle Channel Coordination Issues in Launching an Innovative Durable Product

We analyze the dynamic strategic interactions between a manufacturer and a retailer in a decentralized distribution channel used to launch an innovative durable product (IDP). The underlying retail demand for the IDP is influenced by word‐of‐mouth from past adopters and follows a Bass‐type diffusion process. The word‐of‐mouth influence creates a trade‐off between immediate and future sales and profits, resulting in a multi‐period dynamic supply chain coordination problem. Our analysis shows that while in some environments, the manufacturer is better off with a far‐sighted retailer, there are also environments in which the manufacturer is better off with a myopic retailer. We characterize equilibrium dynamic pricing strategies and the resulting sales and profit trajectories. We demonstrate that revenue‐sharing contracts can coordinate the IDP's supply chain with both far‐sighted and myopic retailers throughout the entire planning horizon and arbitrarily allocate the channel profit.     

Implementing coordination contracts in a manufacturer Stackelberg dual-channel supply chain

We examine a manufacturer's pricing strategies in a dual-channel supply chain, in which the manufacturer is a Stackelberg leader and the retailer is a follower. We show the conditions under which the manufacturer and the retailer both prefer a dual-channel supply chain. We examine the coordination schemes for a dual-channel supply chain and find that a manufacturer's contract with a wholesale price and a price for the direct channel can coordinate the dual-channel supply channel, benefiting the retailer but not the manufacturer. We illustrate how such a contract with a complementary agreement, such as a two-part tariff or a profit-sharing agreement, can coordinate the dual-channel supply chain and enable both the manufacturer and the retailer to be a win-win.     

Product design strategies in a manufacturer–retailer distribution channel

Product design decision has significant impacts on firm's competitive edge. In a distribution channel, product design strategy of a manufacturer depends not only on its own decisions, but also on the behaviors of its upstream and downstream partners along the channel. This paper investigates the optimal product design strategy of a manufacturer in a two-stage supply chain that consists of an upstream manufacturer and a downstream retailer. Customers are classified into two groups (i.e., two market segments) according to their difference on quality valuations. For each of the two potential market segments, the manufacturer needs to decide if it is beneficial to design a product with appropriate quality level to meet the demand of customers in the market segment. The retailer procures the product from the manufacturer, and then sells to customers at a retail price. By considering the interactions between the manufacturer and the retailer, this paper first describes the product design problem as a manufacturer-dominant Stackelberg game, and presents the optimal product design strategy for the manufacturer. To improve the performance of the supply chain, the revenue-sharing contract is then introduced into the product design problem. It is found that the revenue-sharing contract can perfectly coordinate the distribution channel in the product design problem. Numerical experiments illustrate the impacts of customer characteristics on the optimal product design strategies.     

灰色市场环境下的服务策略研究

考虑零售商可能参与灰色市场投机,我们构建一个由制造商和零售商组成的两阶段博弈模型,并分别研究制造商是否提供服务以及零售商是否参与灰色市场投机组成的四种情景。研究结果表明：首先,不管制造商在高价市场中是否提供差异化服务,在替代系数和低价市场需求弹性都适宜的条件下零售商都参与灰色市场投机以获取额外的利润,并且双方在一定条件下实现共赢。其次,制造商提供服务能缩小零售商参与灰市投机的空间和减少利润受损的空间。再次,消费者对产品服务敏感性越高,服务策略应对灰色市场的效果越好。最后,服务水平与敏感系数和替代系数两个因素相关。     

Co‐Op Advertising in Dynamic Retail Oligopolies

We study a supply chain in which a consumer goods manufacturer sells its product through a retailer. The retailer undertakes promotional expenditures, such as advertising, to increase sales and to compete against other retailer(s). The manufacturer supports the retailer’s promotional expenditure through a cooperative advertising program by reimbursing a portion (called the subsidy rate) of the retailer’s promotional expenditure. To determine the subsidy rate, we formulate a Stackelberg differential game between the manufacturer and the retailer, and a Nash differential subgame between the retailer and the competing retailer(s). We derive the optimal feedback promotional expenditures of the retailers and the optimal feedback subsidy rate of the manufacturer, and show how they are influenced by market parameters. An important finding is that the manufacturer should support its retailer only when a subsidy threshold is crossed. The impact of competition on this threshold is nonmonotone. Specifically, the manufacturer offers more support when its retailer competes with one other retailer but its support starts decreasing with the presence of additional retailers. In the case where the manufacturer sells through all retailers, we show under certain assumptions that it should support only one dominant retailer. We also describe how we can incorporate retail price competition into the model.     

The Dynamics of Domestic Gray Markets and Its Impact on Supply Chains

Gray markets are created by unauthorized retailers selling manufacturer's branded products. Similar to international gray markets, domestic gray markets are a growing phenomenon whose impact on supply chains is not clear. We consider a supply chain with one manufacturer and several authorized retailers who face a newsvendor problem and a domestic gray market. While a gray market provides an opportunity for retailers to clear their excess inventory (inventory‐correction effect), it also can be a threat to their demand (demand‐cannibalization effect). We first characterize the emerging equilibrium by assuming an MSRP environment. Comparing a decentralized and centralized system, we show that a wholesale pricing contract is quite efficient in a gray market environment; we explain the underlying mechanism and note some of the operational decisions that could hurt that efficiency. We show that the gray market price determines the degree of both the negative effects of demand‐cannibalization and the positive effects of inventory correction, which in turn determines the net impact of gray markets on the retailer's stocking choice and, ultimately, the manufacturer's profit. We then study the authorized retailers' problem as a price‐setting newsvendor. We observe that the gray market creates price competition between the authorized and unauthorized retailers, causing a drop in the primary market price. However, this price competition can be counteracted by the authorized retailers' stocking decision. Finally, we extend our model to consider the cases where the demand can be correlated across retailers.     

Channel Coordination for a Supply Chain with a Risk‐Neutral Manufacturer and a Loss‐Averse Retailer*

This articles considers a decentralized supply chain in which a single manufacturer is selling a perishable product to a single retailer facing uncertain demand. It differs from traditional supply chain contract models in two ways. First, while traditional supply chain models are based on risk neutrality, this article takes the viewpoint of behavioral principal–agency theory and assumes the manufacturer is risk neutral and the retailer is loss averse. Second, while gain/loss (GL) sharing is common in practice, there is a lack of analysis of GL‐sharing contracts in the supply chain contract literature. This article investigates the role of a GL‐sharing provision for mitigating the loss‐aversion effect, which drives down the retailer order quantity and total supply chain profit. We analyze contracts that include GL‐sharing‐and‐buyback (GLB) credit provisions as well as the special cases of GL contracts and buyback contracts. Our analytical and numerical results lend insight into how a manufacturer can design a contract to improve total supply chain, manufacturer, and retailer performance. In particular, we show that there exists a special class of distribution‐free GLB contracts that can coordinate the supply chain and arbitrarily allocate the expected supply chain profit between the manufacturer and retailer; in contrast with other contracts, the parameter values for contracts in this class do not depend on the probability distribution of market demand. This feature is meaningful in practice because (i) the probability distribution of demand faced by a retailer is typically unknown by the manufacturer and (ii) a manufacturer can offer the same contract to multiple noncompeting retailers that differ by demand distribution and still coordinate the supply chains.     

不完全信息下再制造逆向供应链的定价与协调研究

本文探讨了回收量随机情况下的单一制造商和两个零售商组成的再制造逆向供应链系统的定价策略。在完全信息下,分别得到了Stackelberg博弈和联合博弈下的可行策略集合及可行解。在不完全信息下,运用信号甄别方法及激励相容约束得到了两个最优定价合同。研究表明:定价合同可以有效避免逆向选择问题,保证回收市场的稳定性;通过签订合同,制造商和零售商的利润均有所增加;制造商可通过零售商的履约表现控制其回收量,并对未完成任务的零售商进行惩罚;高运营成本零售商会不断降低运营成本以增加利润。     

Supply Chain Conflict Due to Store Brands: The Value of Wholesale Price Commitment in a Retail Supply Chain*

Store brands are of increasing importance in retail supply chains, often causing channel conflict, as the retailer's product directly competes with the manufacturer's national brand. Extant research on the resulting channel interactions either assumes the national brand manufacturer can credibly commit to maintaining a wholesale price or that he lacks such ability. However, these two scenarios imply very different supply chain interactions, as only a national brand manufacturer with commitment ability can strategically adjust a national brand wholesale price to prevent a store brand introduction by the retailer. We specifically analyze the impact of this assumption on the manufacturer, the retailer, and the customers. We determine when long‐term contracts that provide the manufacturer with such commitment ability can improve supply chain profitability.     

Contracting in a Supply Chain with Stochastic Demand and Substitute Products

Retailers often stock competing products from multiple manufacturers. When the retailer stocks out of a particular item, customers who prefer the item are likely, with some probability, to switch to a substitute product from another manufacturer at the same store. In such an event, a “lost sale” for the manufacturer is not a “lost sale” for the retailer. This exacerbates differences in manufacturer's and retailer's stockout costs for the item. Such differences in stockout cost influence the optimal contract between the manufacturer and the retailer and also impose agency costs on the channel. Such contracts, in turn, determine equilibrium inventory levels and fill rates. We study these issues in a single‐period supply chain, consisting of a manufacturer and a retailer, under three different scenarios (when the two firms are integrated into a single entity, when the retailer makes stocking decisions, and when the manufacturer makes stocking decisions). We compare, and present a methodology for comparing, stocking quantities, manufacturer efforts, and supply chain profits across different scenarios. We find that VMI performs better when manufacturer effort is a substantial driver of consumer demand and when consumers are unlikely to substitute to another brand in case of a stockout. On the other hand, if non‐contractible manufacturer effort is unimportant, or when substitution is significant, VMI can exacerbate, rather than mitigate, channel inefficiencies, and can perform worse than traditional Retailer Managed Inventory.     

具有两阶段生产模式和需求信息更新的供应链契约研究

针对二级供应链,在基于Stackelberg博弈的批发价契约中,分析了折扣价格与零售商最优提前订购量的关系及对契约双方期望收益的影响;设计了价格折扣与回购联合的协调契约,分析了供应链系统的最优提前生产量、供应链协调条件及协调契约下制造商和零售商的期望收益变化,并在协调契约不满足制造商的个体理性约束时,提出采用不对称Nash谈判模型设计两阶段生产与订购的回购契约,在保证供应链系统整体绩效最优的条件下,使制造商和零售商利润都能得到满意增长。研究表明,三级供应链实行两阶段订购的必要条件是分销商与零售商的最优提前订购量相等,与二级供应链相比,价格折扣契约下三级供应链效率更低,但价格折扣与回购联合的契约同样能协调三级供应链,该协调契约满足零售商与分销商激励相容约束。     

不同渠道权力结构和信息结构下供应链定价和销售努力决策

本文针对零售商销售努力和销售价格影响需求情况下的制造商-零售商两级供应链,研究不同渠道权力结构和信息结构下供应链的分散决策。基于博弈理论和建模方法,对几种权力结构和信息结构情景建立相应模型,通过理论与数值分析对不同博弈均衡进行比较。研究表明,随着零售商势力逐步增强制造商利润会逐步恶化;但零售商势力增强能否带来更多利润,取决于需求对价格和销售努力的敏感度、销售努力成本以及信息结构。占优一方可以通过获取对方更多信息来改善自己处境。若占优零售商不得不依赖于对制造商成本先验分布进行决策,当估计的均值大于真实成本时,适度的方差对零售商更有利。最后,讨论了销售努力成本分担的合作机制,针对非合作博弈给出了帕累托改进的合约区间和 Nash讨价还价均衡。     

Gray Markets and Supply Chain Incentives

“Gray markets” are unauthorized channels that distribute a branded product without the manufacturer's permission. Since gray markets are not officially sanctioned by the manufacturer, their existence is assumed to hurt the manufacturer. Yet manufacturers sometimes tolerate or even encourage gray market activities. We investigate the incentives of a manufacturer and its authorized retailer to engage in (or tolerate) gray markets. The firms need to consider the trade‐off between the positive effects of a gray market (price discrimination and cost savings) and the negative effects (cannibalization of sales and a loss in consumer valuation). Generally, gray markets can be categorized into two types: (i) a “local gray market,” where a retailer diverts products to unauthorized sellers operating in the same region as the retailer; and, (ii) “bootlegging,” where the retailer diverts products to unauthorized sellers in another market where the manufacturer sells through a direct channel. We characterize the equilibrium in each type of gray market and identify conditions under which the retailer will divert products to the gray market. Incentive problems are more complicated when the retailer bootlegs and, in this case, we show that conflicting incentives may lead to the emergence of a gray market where both the manufacturer's and retailer's profits decrease.     

基于风险规避的双渠道制造商在线推介策略研究

研究了风险规避对双渠道制造商在线推介策略的影响。首先，以零售商、制造商风险中性为基准模型考察制造商推介策略，发现当推介市场规模较小时，制造商仅推介官方商城；当推介市场规模较大时，制造商选择都推介策略。然后，分别考察零售商或制造商风险规避特性对推介策略的影响，发现当推介市场规模居中时，若市场竞争强度较小，则随着风险规避程度的增大，制造商推介策略由仅推介官方商城转变为都推介；若市场竞争强度较大，则零售商风险规避情况下推介策略由都推介转变为仅推介官方商城，但制造商风险规避情况下推介策略不变。最后，通过算例形式分析了零售商和制造商都风险规避时制造商的推介策略。     

Strategic Information Sharing in Competing Channels

We investigate strategic information sharing in two competing channels. The retailer in a channel can ex post decide whether to share private demand information with his upstream manufacturer after the content of information becomes known. We find that a retailer discloses low demand and withholds high demand to induce lower wholesale prices from his manufacturer. We show that a retailer should share less information when the retail market becomes more competitive, but should disclose more information when his capability to acquire information improves. When a decentralized supply chain competes with an integrated channel, we show that firms in the supply chain benefit from the rival channel's effort to improve information capability, that the incentive for the retailer in the supply chain to improve his information capability increases with the intensity of competition and with the rival channel's information capability, and that the retailer may not want to pursue perfect information acquisition even when doing so is costless. Extensive numerical studies demonstrate that similar results also hold for two decentralized supply chains competing with each other.     

A Note on Optimal Selling to Asymmetric Retailers

I consider a channel with one manufacturer selling the same product to two retailers engaged in imperfect competition. The retailers are asymmetric because one has a lower marginal selling cost (or a higher demand potential) than the other. I design the manufacturer's optimal selling mechanism, whereby the manufacturer must offer the same contract options to both retailers. I fully characterize the manufacturer's optimal selling mechanism for varying degrees of retailer asymmetry and competition intensity. I find that under certain conditions, the manufacturer is better off selling a larger quantity through the high‐cost (or low‐demand potential) retailer. I also show how the optimal mechanism can be implemented using a menu of two‐part tariffs with quantity controls.     

碳限额与碳交易机制下考虑公平关切的供应链定价与协调研究

供应链企业的公平关切是发展与维持良好供应链上下游合作关系的重要因素。面对消费者的低碳偏好与碳排放规制约束,供应链企业在确定最优定价与减排水平等运作决策时,常常表现较强的公平关切倾向。探究环保规制下公平关切如何影响供应链的运作决策,可以为供应链合作提供对策。本文在碳限额与碳交易机制下,研究了由公平关切制造商和公平关切零售商组成的低碳供应链的最优定价和碳减排率等决策,分析了公平关切对最优定价和碳减排水平及利润的影响,并讨论了收益共享-成本共担契约模型对供应链的协调性,最后通过数值仿真验证了主要结论。结果表明：(1)制造商和零售商都公平关切时,收益共享-成本共担契约的参数若满足一定条件,供应链可以实现协调。(2)批发价与制造商公平关切系数正相关,零售价与制造商和零售商公平关切系数都正相关;若制造商考虑零售商公平关切则批发价的变化取决于碳减排成本系数的大小,碳减排率与制造商和零售商的公平关切系数是负相关;若制造商忽视零售商的公平关切,则批发价仅受制造商自身公平关切的影响, 碳减排率与制造商公平关切负相关,与零售商公平关切无关。(3)制造商公平关切对双方利润具有负向影响,零售商公平关切对制造商利润也有负向影响,而零售商利润随自身公平关切的变化情况取决于制造商是否考虑其公平关切,若考虑则两者正相关,否则两者负相关。