考虑残值变化和顾客异质性的零售商定价与库存决策

本文研究策略型消费者对零售商的定价和库存决策的影响。与以往的研究假设残值固定不变,且消费者均为策略型消费者不同的是,本文考虑了顾客的异质性以及残值由清仓期库存决定这一特点。本文的研究表明:在消费者均为策略型消费者,且清楚零售商将采取残值定价策略的情况下,零售商可以通过数量保证策略来提高自身的期望利润,降低库存订货量。在考虑顾客异质性的条件下,当零售商采取估值定价策略时,零售商的最大期望利润与短视型消费者在市场上的比例成正相关。并且,存在一个唯一的阈值点,当短视型消费者在市场上的比例高于这一阈值点时,估值定价策略优于保留价格定价策略,反之,则保留价格定价策略更优。     

考虑策略型消费者和退货的零售商定价和订货决策研究

考虑策略型消费者对产品估值的异质性和无缺陷退货行为，应用理性预期（RE）均衡构建了两期决策模型，引入产品的耐用性参数，得到了允许（不允许）无缺陷退货两种模式下零售商的定价区间和订货策略。研究发现，产品的耐用性越弱，零售商可制定的价格越高；高类型的消费者越多，零售商定价越高；产品折扣率越低，第二阶段购买的消费者越多；零售商允许消费者无缺陷退货时，消费者退货成本越低，零售商定价越高。在两种模式下，产品定价与其耐用性程度呈负相关，当产品具备高度潮流性特征时，不允许退货更占优势；随商品耐用性程度的提升，允许退货带来的优势逐渐明显，而且退货成本越低，允许退货优势越强；随产品耐用性参数增加，允许退货缓解策略型消费者消极影响的作用愈加明显，退货成本越高，缓解越有效。本文合理刻画了策略型消费者的行为，考虑了消费者跨期决策中产品耐用性的影响，同时考虑了现实中广泛存在的消费者无缺陷退货行为与零售商的退货补贴政策，从而为零售商的定价和订货退货决策提供了理论参考。     

考虑战略顾客行为时的供应链性能分析与协调

动态定价策略的广泛应用使得越来越多的顾客具有了战略性,战略顾客会根据产品在销售期内的价格路径确定最优购买时机,零售商则根据顾客的购买行为确定订货数量和销售价格.研究了双方静态博弈时的理性预期均衡解和零售商进行数量承诺时的情形.研究表明:理性预期均衡时的最优销售价格、最优存货数量和最优期望利润分别小于标准报童模型的情形;数量承诺时的最优存货数量小于理性预期均衡时的最优存货数量;最优期望利润则大于理性预期均衡时的最优期望利润,并且在一定条件下可能会大于标准报童模型的最优期望利润,战略顾客行为的存在对零售商可能有利.最后分析了在分散式供应链中如何利用收入分享契约和数量折扣契约实现供应链协调.     

考虑策略性消费者的生鲜农产品定价和库存决策

消费者的策略性行为使零售商的生鲜农产品的定价和库存决策面临更大挑战。本文基于报童模型,综合考虑消费者的策略性行为,对生鲜农产品价值下降进行离散化处理。刻画策略性消费者的决策行为,构建零售商的单阶段和两阶段定价及库存决策模型,分析了产品价值剩余率对消费者行为、零售商最优定价、最优库存水平以及零售商利润的影响机理。研究发现,在单阶段模型中零售商最优价格和最优库存水平均随产品价值剩余率的递增而递增;而在两阶段模型中,第二阶段最优价格随价值剩余率的变化趋势可能存在阈值。     

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.     

Using Contingent Markdown with Reservation to Profit from Strategic Consumer Behavior

We examine a contingent price markdown (CM) mechanism with guaranteed reservation under which a retailer sells multiple units to forward‐looking consumers who arrive over time according to a Poisson process. During the early part of the selling season, each arriving consumer can either purchase a unit by paying the regular price or reserve a unit at the discount price. Reserved units can only be claimed later when the number of guaranteed reservations meets a pre‐specified threshold, or at the end of the selling season, whichever comes first. Immediately after the number of guaranteed reservations meets the pre‐specified threshold, the retailer will reduce its selling price to the discount price so that all subsequent arriving consumers can take immediate possession by paying the low price. We study the consumer purchasing behavior in equilibrium when the retailer adopts such a selling mechanism, and compare the performance of our mechanism against two benchmarks: fixed price (FP) and pre‐announced discount (PD). Through an extensive numerical analysis, we identify market conditions under which CM dominates both FP and PD in terms of the retailer's revenue and consumer's surplus. Finally, through a fluid approximation to the stochastic model, we simplify the computation of the equilibrium strategy and the optimal revenues, and verify that the key insights obtained from the stochastic model still hold.     

顾客策略行为下差异产品两阶段定价模型研究

互联网和信息技术的发展,为零售商收集顾客信息带来方便的同时,也使得消费者变得越来越具有策略性和选择性。首先,构建零售商只销售一种高质量产品的情形,研究其两阶段的定价策略,并分析产品的跨期折扣因子对产品的零售价格、销售量和零售商利润的影响。然后,考虑零售商可提供高质量和低质量两种产品的情形,顾客在第一销售期、第二销售期都可以选择两种产品。构建两阶段的定价决策模型,并分析产品的跨期折扣因子、顾客对低质量产品的接受度等参数对产品两阶段的零售价格、销售量的影响。最后,用数值算例分析了第二种模型下顾客对低质量产品的接受度等模型参数对零售商两阶段总利润的影响,然后比较了第一种和第二种模型下高质量产品的零售价格和销售量。研究结论较全面的分析了顾客策略行为对差异产品两阶段销售期的定价决策的影响,为零售商进行定价优化决策提供了十分重要的参考。     

考虑消费者策略行为的供应链两周期定价与契约设计

针对由一个制造商与一个零售商构成的供应链,考虑消费者的策略性跨期购买行为,构建了两周期动态博弈模型,分析了消费者策略性程度对两周期均衡结果、消费者剩余和社会福利的影响,比较了分散式与集中式决策的均衡偏差,设计了与消费者策略性程度相关的两周期收益共享契约与"两周期收益共享+转移支付"组合式契约。研究表明：分散式决策下,消费者策略性程度有利于增加消费者剩余和社会福利,但会对供应链成员不利;某些情形下,消费者策略性程度会使分散式与集中式决策的系统利润差值增大;当消费者策略性程度相对较低时,两周期收益共享契约不仅可实现供应链完美协调,还可增加消费者剩余和社会福利;当消费者策略性程度较高时,通过组合式契约可实现供应链完美协调,但此时消费者策略性程度的增强可能对消费者剩余和社会福利产生负面影响。     

Markdown Budgets for Retail Buyers: Help or Hindrance?

For many retailers, markdown decisions are taken by retail buyers whose compensation is based on sales revenue so their objective is to maximize it through the season. This implies that the buyers' objectives are not perfectly aligned with the overall profitability the firm. Many retailers set markdown budgets prior to the season to control margin erosion and increase profitability. Markdown budget constrains the buyers on the amount of discounts that they can apply on a given inventory of merchandise and sets a limit on the dollar value of markdowns for the season. While markdown budgets may be useful in preventing excessive discounts, they can have a detrimental effect on the buyers' ability to respond to poor market and remove distressed inventory. We investigate the effectiveness of this practice in aligning the incentives of buyers with that of the firm, and provide guidance on how these budgets should be established ahead of time. We consider a firm with a fixed inventory of a seasonable item, and a single chance to mark the price down. The retailer knows only the demand distribution at the beginning of the season, but the market information is revealed during the season to the buyer. We first characterize the buyer's markdown policy and understand the circumstances under which this can be different from the retailer's markdown policy. We use our model to determine the optimal markdown budget and quantify its effectiveness considering different factors such as the level of demand uncertainty, initial markup, and market's responsiveness to markdowns.     

供应链中基于信息更新的订货时间及价格联合决策研究

文章考虑在信息可更新的情况下,由一个制造商和一个零售商组成的供应链中订货时间及价格的联合决策问题.在模型中,制造商为零售商提供多次订货时间选择及相应的订货价格,而零售商可以在销售季节开始前自由选择订货时间并享受相应的价格.文章以不同订货时间对信息更新程度的影响为着眼点,将订货时间作为内生决策变量,突破了已有文献中仅限于两次订货时间选择的局限,分别从集中决策和分散决策两个角度建立供应链节点企业的利润模型,并在分散决策情况下引入收益共享契约,寻找帕累托改进.最后通过数值试验证明了该模型的有效性.     

Advance Selling in the Presence of Speculators and Forward‐Looking Consumers

This article examines the pricing policy of a monopolist seller who may sell in advance of consumption in a market that comprises of myopic consumers, forward‐looking consumers, and speculators. The latter group has no consumption value for the goods and is in the market with the sole objective of making a profit by reselling the purchased goods shortly after. Consumers, although homogeneous in terms of their valuations, are different with respect to their perspectives. We show that in an “upward” market where the expected valuation increases over time, the optimal pricing policy is an ex ante “static” one where the seller “prices into the future” and prices the myopic consumers out of the advance market. However, in a “downward” market where the expected valuation decreases over time, the seller adopts a dynamic pricing strategy except for the case when higher initial sales can trigger more demand subsequently and when the downward trend is not too high. In this case, the seller prefers an ex ante “static” pricing strategy and deliberately prices lower initially to sell to speculators. We identify the conditions under which the seller benefits from the existence of speculators in the market. Moreover, although the presence of entry costs is ineffective as an entry deterrence, we determine the conditions under which exit costs can rein in speculative purchase.     

考虑策略型消费者行为的零售商订货及忠诚计划联合决策研究

顾客忠诚计划是零售商的重要销售策略之一. 本文针对两期折扣问题中零售商的订货和积分回馈计划投入的联合决策问题,基于完全理性假设,并结合问题的实际情况,考虑了全价期单期以及全价期和折扣期两期的积分回馈计划,构建了基于这两种积分回馈计划下的策略型消费者决策模型. 分析了不同积分回馈计划对策略型消费者行为的影响,进而讨论了零售商在不同决策下的收益情况,探索了零售商订货和积分回馈计划联合决策的制定. 研究发现：(1)积分回馈计划会对策略型消费者行为产生影响,从而影响零售商的决策和收益;(2)订货和忠诚计划制定的联合决策有利于零售商提高收益;(3)对于单位成本低的商品,面向全价期的积分回馈计划的最优收益提升较大;(4)对于商品价值与实际价格差异较小的商品,积分回馈计划对最优收益的提升作用较大. 具体而言,如果商品单位成本小于等于折扣价,则面向全价期的积分回馈计划的最优收益提升较大,反之,则面向全价期和折扣期的积分回馈计划的最优收益提升较大.     

考虑策略型消费者的在线零售商库存信息披露及联合定价、库存决策模型

在两期销售环境下,研究了面向策略型消费者的在线零售商库存信息披露及联合定价、库存决策问题。考虑在线零售商库存信息共享和隐藏两种库存披露策略,构建了在线零售商两期销售利润模型。通过分析消费者的购买行为,讨论了在具有策略型消费者的市场中,在线零售商应如何选择库存信息披露策略,以及如何制定最优定价和库存决策。在此基础上,分析了相关参数对在线零售商决策及利润的影响。研究结果表明,在线零售商的最优定价及库存决策受消费者估值折扣系数和第二期定价策略的影响。特别地,当在线零售商选择第一期缺货时,更倾向于共享其库存水平信息;当在线零售商选择第二期缺货或者两期均不缺货时,消费者估值折扣系数存在一个阈值,当低于该阈值时,在线零售商会选择隐藏库存水平信息,当高于该阈值时,在线零售商会选择共享库存水平信息。     

Managing Clearance Sales in the Presence of Strategic Customers

We study the effect of strategic customer behavior on pricing and rationing decisions of a firm selling a single product over two periods. The seller may limit the availability of the product (that is, ration) in the second (clearance) period. Some customers are strategic and respond to the firm's decisions by timing their purchases. When capacity is nonconstraining and the seller has pricing flexibility, we show that rationing in the clearance period cannot improve revenue. However, when prices are fixed in advance, rationing can improve revenue. In the latter case, we conduct a detailed analysis for linear and exponential demand curves and derive explicit expressions for optimal rationing levels. We find that the policy of doing the better of not restricting availability at the clearance price or not offering the product at the clearance price is typically near optimal. Our analysis also suggests that rationing—although sometimes offering considerable benefit over allowing unrestricted availability in the clearance period—may allow the seller to obtain only a small fraction of the optimal revenue when the prices are chosen optimally without rationing. We extend the analysis to cases where the capacity is constraining and obtain similar results.     

基于异质性顾客群的零售商补货及反应性定价策略研究

基于消费者对相似产品的不同支付意愿,研究了零售商补货及反应性定价策略。通过两阶段模型的建立和求解,找出反应性定价的规律并确定产品的补货量。归纳了在清仓定价(延迟定价的特例)和无延迟定价下零售商的定价和补货策略。借助数值仿真,讨论了市场波动性和产品接受度对最优决策及利润的影响并比较了不同定价模式(反应性定价、清仓定价、无延迟定价)的影响。     

A Note on the Relationship Among Capacity,Pricing, and Inventory in a Make‐to‐Stock System

We address the simultaneous determination of pricing, production, and capacity investment decisions by a monopolistic firm in a multi‐period setting under demand uncertainty. We analyze the optimal decision with particular emphasis on the relationship between price and capacity. We consider models that allow for either bi‐directional price changes or models with markdowns only, and in the latter case we prove that capacity and price are strategic substitutes.     

供应链融资模式下零售商的订货与定价研究

已有零售商订货与定价问题的研究大都忽略了零售商的初始资金,本文在考虑零售商初始资金的情况下,研究零售商面对初始资金不足时,如何借助外部的融资政策做出最优的订货与定价决策.因此,本文分别讨论了零售商在无融资服务,供应链中核心制造商担保下的外部融资服务及核心制造商提供商业信用的内部融资服务下的订货与定价问题,并建立了相应的...     

存在战略购买需求的定价、供给、机制选择和配给研究

本文研究存在战略购买需求的易逝资产销售策略问题。垄断厂商基于利润最大化目标确定易逝资产定价、供给、机制选择和配给策略,战略消费者通过锚定预期价格安排战略购买时机。不同于通常基于效用理论研究定价的思路,本文首先基于锚定效应和跨期价格均衡思想探寻不同战略等待购买规模的市场预期需求曲线和动静态定价区域;其次在众多预期需求曲线中寻找市场有效定价前沿（即有效预期需求曲线）;再次在利润曲面上找出与有效定价前沿对应的容量扩展线（即最大利润曲线）;最后沿容量扩展线和有效定价前沿搜寻最大期望利润及相应策略。研究表明,消费者保留价异质和需求不确定性是动态定价和战略购买存在的根本原因;市场在不同战略等待购买规模状态拥有不同预期需求曲线,最大战略等待购买规模状态预期需求曲线是市场有效定价前沿。动静态定价机制各有其所适用的容量和价格空间,消费者保留价水平和战略消费者规模决定动态定价空间大小,随机需求分布差异只影响动态定价空间形状（即影响需求弹性）。在跨期价格均衡区域内,提价和扩容都会加剧消费者战略购买程度,供给越大定价往往越低。战略购买不仅会降低厂商供给、定价和利润水平,改变不同类型消费者之间高低价购买机会,甚至还可能影响定价机制选择和配给策略。压缩过度供给和虚高价格空间可降低战略购买导致的利润损失。本文研究结果可为考虑消费者行为的需求价格理论研究和运营管理实践提供参考。     

To sell or not to sell to an off-price retailer in the presence of strategic consumers

In the newsvendor model, strategic consumers choose between buying the product at the regular price or waiting to try to buy the product at the discount price. Retailers can benefit from the ability to decrease strategic consumers’ perceived probability of finding a unit available at the discount price. Selling some inventory to an off-price retailer, who has a large number of thrift consumers, enables retailers to change consumers’ perceived probability of product availability at a reduced price, but at a cost of losing some strategic consumers to the off-price retailer. We show that without the off-price retailer’s exclusive consumers and even if the off-price retailer buys the product for a price below the retailer’s cost, the retailer can still be better-off with the off-price retailer. We also find that the retailer benefits more when the off-price retailer charges higher price for the product and has a large consumer segment of its own.     

需求学习下考虑顾客策略行为的供应链决策

顾客策略行为对企业的经营绩效带来了巨大的负面影响, 本文基于供应链背景, 探讨需求学习应对顾客策略行为的作用与价值。构建了由单一制造商、单一零售商和一组顾客群组成的两周期分散式供应链系统的博弈模型, 将顾客划分为短视型和策略型两种类型。采用数理模型和数值分析, 研究了需求学习对于供应链的定价决策、订货决策及整体绩效的影响, 得到如下主要研究结论:第一, 无论面对何种类型的顾客, 零售商均偏好需求学习获取需求更新信息;第二, 面对短视顾客时, 制造商偏好于不获取更新信息, 而当顾客为策略型时, 制造商偏好于获取更新信息;第三, 需求学习有助于提高零售商和供应链系统的利润, 特别当面对策略型顾客时, 需求学习带来的利润增值更大。以上研究结论表明, 需求学习可以有效地缓解顾客策略行为的负面影响, 提高企业的运营绩效。