基于好评返现和差评偏好的体验型产品两阶段定价决策研究

假定产品存在发布试销期与正式销售期,在销售商不采取好评返现与采取好评返现两种情形下分别建立考虑消费者差评偏好的两阶段定价决策模型,用KT方法得到相应的最优决策和利润,给出了销售商实施好评返现的条件。基于导函数分析方法与数值仿真技术,分析了好评返现与差评偏好对产品定价、销售商利润和消费者效用的影响,证实了好评返现下消费者重视差评信息的合理性,并针对消费者、平台和销售商提出了对策。研究表明:只有产品质量中等的销售商才会采取好评返现策略,其利润随产品质量的提升而先递增后递减;好评返现提高了销售商第二阶段的市场份额和售价,导致消费者效用损失;消费者越重视差评信息,实施好评返现的高(低)质量产品销售商越多(少),且销售商利润将下降;好评返现扭曲了评价信息的真实性,降低了消费者对在线评价系统的信任度。     

Approximation algorithms for pricing with negative network externalities

We study the problems of pricing an indivisible product to consumers who are embedded in a given social network. The goal is to maximize the revenue of the seller by the so-called iterative pricing that offers consumers a sequence of prices over time. The consumers are assumed to be impatient in that they buy the product as soon as the seller posts a price not greater than their valuations of the product. The product’s value for a consumer is determined by two factors: a fixed consumer-specified intrinsic value and a variable externality that is exerted from the consumer’s neighbors in a linear way. We focus on the scenario of negative externalities, which captures many interesting situations, but is much less understood in comparison with its positive externality counterpart. Assuming complete information about the network, consumers’ intrinsic values, and the negative externalities, we prove that it is NP-hard to find an optimal iterative pricing, even for unweighted tree networks with uniform intrinsic values. Complementary to the hardness result, we design a 2-approximation algorithm for general weighted networks with (possibly) nonuniform intrinsic values. We show that, as an approximation to optimal iterative pricing, single pricing works fairly well for many interesting cases, such as forests, Erd?s–Rényi networks and Barabási–Albert networks, although its worst-case performance can be arbitrarily bad in general networks.     

Improving Profits by Bundling Vertically Differentiated Products

We consider a firm managing a category of vertically differentiated goods, that is, products which differ with respect to an attribute for which all consumers prefer more to less. The goods can be sold individually, in which case they are referred to as components, or in bundles. The firm chooses the assortment of components and bundles and their selling prices to maximize profit. We show that each bundling strategy (pure components, pure bundling or mixed bundling) can be optimal and obtain closed‐form expressions for the optimal selling prices. We provide insights on the structure of the optimal assortment and prices. In particular, we show that, when consumers benefit from consuming the components jointly, the products in the optimal assortment form nested sets. When consumers do not benefit from the joint consumption of components, the bundles should be offered at a positive discount. We find that bundling vertically differentiated products can significantly improve profits, even if consumers do not benefit from consuming the components jointly. The value of bundling comes from increased sales: a firm, which understands that its customers may buy multiple types of components, offers bundles of components, incentivizing customers to buy more.     

Pricing Software Upgrades: The Role of Product Improvement and User Costs

The computer software industry is an extreme example of rapid new product introduction. However, many consumers are sophisticated enough to anticipate the availability of upgrades in the future. This creates the possibility that consumers might either postpone purchase or buy early on and never upgrade. In response, many software producers offer special upgrade pricing to old customers in order to mitigate the effects of strategic consumer behavior. We analyze the optimality of upgrade pricing by characterizing the relationship between magnitude of product improvement and the equilibrium pricing structure, particularly in the context of user upgrade costs. This upgrade cost (such as the cost of upgrading complementary hardware or drivers) is incurred by the user when she buys the new version but is not captured by the upgrade price for the software. Our approach is to formulate a game theoretic model where consumers can look ahead and anticipate prices and product qualities while the firm can offer special upgrade pricing. We classify upgrades as minor, moderate or large based on the primitive parameters. We find that at sufficiently large user costs, upgrade pricing is an effective tool for minor and large upgrades but not moderate upgrades. Thus, upgrade pricing is suboptimal for the firm for a middle range of product improvement. User upgrade costs have both direct and indirect effects on the pricing decision. The indirect effect arises because the upgrade cost is a critical factor in determining whether all old consumers would upgrade to a new product or not, and this further alters the product improvement threshold at which special upgrade pricing becomes optimal. Finally, we also analyze the impact of upgrade pricing on the total coverage of the market.     

Digitalisierung und Konvergenz von Online- und Offline-Welt

The increasing diffusion of mobile phones with internet access (Smartphones) enables more and more consumers to use the mobile internet. In addition, there is a continuing integration of location-based services (LBS). By means of Global Positioning Systems or WiFi-triangulation LBS provide context-aware information to consumers. This leads to a convergence of online and offline worlds. The usage of LBS delivers additional information to consumers (e.g. alternative offers or detailed product information). Therefore LBS do have an influence on consumer behavior. Particularly during the search process, information about prices or geographic distances, that are relevant for the purchase, are of importance. This study analyzes the relevance of location-based internet search empirically. Search costs are estimated on an individual level in a choice-based conjoint analysis using two different products. As a result, location-based internet search is considered to be very relevant for search and influential on consumer behavior. The study shows different consumers preferences and different search costs depending on the product. To conclude the study, the implications are discussed. The major contribution of this study is that it shows that offline and online search do have a mutual impact on each other. Furthermore, search costs are measured in a mobile context.     

Two-period pricing and ordering policy for the dominant retailer in a two-echelon supply chain with demand uncertainty

Retailing channels are increasingly being dominated by ‘power’ retailers who are in a position to dictate prices and ordering schedules to manufacturers and suppliers. A dominant retailer, such as Wal-Mart, has the ‘power’ to decide retail prices of products because there are so many manufacturers who are keen to sell their products through or to such a large and powerful retailer. Several products, such as electronic products, can be sold in the market for some periods during their lifecycles before they retreat, except when they are not popular with consumers after been introduced. Therefore, in case of such products, the retailer should not just consider a single-period pricing and ordering policy. It should make dynamic pricing and ordering decisions based on market demand forecast, in order to obtain maximum cumulative profit from the product during its lifecycle. In this study, we consider this scenario and construct a two-period model to discuss pricing and ordering problems for a dominant retailer with demand uncertainty in a declining price environment. We show that the maximum expected profit function is continuous concave, so the optimal solution to pricing and ordering policy exists and it is the one and only. We also analyze sensitivity of retailer's expected profit to the effects of parameters of price-discount sharing scheme and market demand.     

顾客忠诚对差异化竞争制造商市场入侵的影响研究

本文针对一个在位制造商和一个入侵制造商组成的供应链,结合两个竞争性制造商各自生产和销售一种存在差异化的替代产品,以及存在的顾客忠诚行为,建立了不存在差异化竞争制造商和竞争环境下的博弈模型,并得到唯一均衡解。研究结果表明,两个竞争性制造商均存在四种不同的定价策略;在满足一定条件下,在位制造商通过策略性定价有可能阻止差异化竞争制造商入侵市场;市场入侵并不一定会影响在位制造商的最优定价策略,但当差异化竞争制造商成功进入市场时,市场竞争会促使在位制造商实施低价策略,并导致位在制造商利润损失。     

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.     

考虑消费者版权意识差异的信息产品定价策略

依据消费者的版权意识差异将消费者细分为伦理消费者和普通消费者,研究了信息产品垄断厂商的最优定价策略及其对艺术创作者的影响。研究表明:垄断厂商的最优定价因消费者结构、市场敏感性等因素而存在较大差异,没有一个固定的定价策略。高价策略可以得到伦理消费者的支持,但当存在盗版威胁时,垄断厂商因普通消费者的价格敏感特性而面临利润损失,单位可变成本越低,利润损失越大。此外,艺术创作者的期望定价要低于垄断厂商的最优定价,提高版权费率并不能保证给艺术创作者带来收益增加,双方存在定价协调问题。     

The Impact of Manufacturers' Wholesale Prices on a Retailer's Shelf‐Space and Pricing Decisions*

This article examines shelf‐space allocation and pricing decisions in the marketing channel as the results of a static game played à la Stackelberg between two manufacturers of competing brands and one retailer. The competing manufacturers act as leaders that play a simultaneous and noncooperative game. They fix their transfer prices by taking into account the shelf‐space allocation and price‐markup decisions of their common exclusive dealer. The results indicate that the wholesale prices of brands are strongly linked to their share of the shelf. The main results of our numerical simulations may be summarized as follows: first, the lower the unit cost and/or the greater the price elasticity, the greater the shelf space allocated to that brand. Second, the higher the shelf‐space elasticity, the lower are the wholesale prices and the profits of all channel members.     

从社区认同到品牌认同：如何基于在线社区提升品牌的消费者心智份额？

随着在线社区的兴起，如何在社区中开展网络营销活动，不断提升消费者的品牌认同感，通过品牌的有效定位以占领更多的消费者心智份额日益受到越来越多品牌的关注和重视。本文将基于RAS信息接收-接纳(Receipt-Accept-Sample)模型，针对不同类型的消费者群体从社区平均心智份额与社区消费者心智份额两个角度探讨基于在线社区的消费者品牌认同提升效果，并根据品牌发布广告的信息复杂度与信息强度来揭示广告信息特征对消费者品牌认同提升效果的影响，进而提出在线社区消费者品牌认同提升的品牌定位实施策略建议。研究发现：(1)在线社区消费者的平均心智份额呈现曲折上升态势，品牌有必要适时调整支撑品牌定位的营销组合策略；(2)消费者的心智资源不会被某一品牌所独占，品牌无法获取所有消费者的认同；(3)品牌定位应是简单明了且易于理解；(4)在提升消费者的品牌认同时，应基于消费者个性展开提升而非消费者的能力与意识；(5)在线社区消费者品牌认同提升过程中始终存在被竞争品牌攻击与反超的风险，品牌可能会流失已经夺取的心智资源；(6)即使品牌重启新的品牌定位战略，也无法全部挽回因竞争品牌反击而遭受的损失。本文在验证以往品牌认同与品牌定位理论相关结论同时，也获得了现有理论中未曾揭示的研究发现，为品牌开展有效品牌定位，扩大消费者心智份额，提升在线社区消费者品牌认同提供了借鉴。     

焕新计划下考虑消费者细分的产品定价策略

焕新计划是生产商为提升自身竞争优势而推出的一种促销手段，加入焕新计划的消费者在第一阶段可以享受全方位服务，在第二阶段可以享受以旧换新抵扣优惠。消费者将权衡加入焕新计划的费用、服务水平以及抵扣力度等因素决策是否在第一阶段加入焕新计划。本文假设时尚型消费者每阶段都会购买最新产品，而节俭型消费者第一阶段购买产品后在第二阶段继续使用，针对这两类消费者在实施焕新计划和不实施焕新计划两种情况下，构建两阶段模型以决策产品的最优定价；运用解析方法分析了产品的生产成本等参数对最优定价的影响；运用解析方法和数值算例方法对两模型进行对比。     

信息不对称条件下双寡头市场中质量差异化产品虚假信息问题研究

基于博弈论和契约理论,研究了信息不对称条件下双寡头市场质量差异化产品定价过程中虚假信息的问题。消费者与企业关于产品质量信息存在严重不对称,为企业使用虚假质量信息提高企业利润提供了较大的空间。为分析企业使用虚假信息的问题,本文基于Bertrand博弈模型构建了双寡头市场质量差异化产品定价模型并求解企业利润。求解结果表明双寡头市场的纳什博弈均衡解为两企业均使用虚假信息,在此基础上进一步从契约的角度对企业使用虚假信息的问题进行了合理规避。最后运用算例分析验证了模型的正确性。     

考虑消费者参照效应与策略行为的多产品动态定价

在考虑客户同时表现出参照依赖和策略行为的场景下，本文构建了一个垄断厂商两阶段的多产品动态定价模型。该模型将易逝品的销售分为正常价格阶段和促销价格阶段，每个阶段又分为多期。客户分为短视型和策略型，其中策略型客户会根据两个阶段价格的差异和获得商品的概率，决定是在第一阶段和等到第二阶段购买商品。基于随机动态规划的结构属性和超模理论，得到了两个阶段稳态价格的解析解，并且证明最优价格路径是单调且随着初始参照价格变化而变化。最后，通过对两种产品的数值实验，分析了各种参数对最优稳态价格的影响。结果显示，零售商可以采取多产品联合定价策略，即基于商店水平的定价策略，并通过调整核心产品的比重来获得更高的利润。     

全渠道零售商退货方式和定价研究

本文以全渠道零售商不同渠道的定价为背景,以企业利润最大化为目标,以顾客退货给零售商带来的损失为出发点,从三种不同的退货方式分析退货损失对零售商不同渠道最优定价和利润的影响。首先分析传统的原渠道退货(即：从购买产品的渠道退货),然后分析所有顾客都通过线上渠道退货,进而分析所有顾客都通过线下渠道退货。研究表明：三种退货方式下,当零售商与顾客的线上单位产品净退货损失之和小于线下单位产品净退货损失之和时,全渠道零售商选择全部退货到线上渠道可获得最大利润;当零售商与顾客的线上单位产品净退货损失之和大于线下单位产品净退货损失之和时,全渠道零售商应选择全部退货到线下的退货方式以获得最大利润;传统的退货方式不会让零售商获得最大利润。本文研究对于全渠道零售虑顾客退货损失的基础上,设置最合理的退货方式和不同渠道之间的最优定价有一定的指导意义和实际应用价值。     

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。     

Price Incentives and Coordination in a Two‐Product Decentralized Supply Chain

We investigate pricing incentives for competing retailers who distribute two variants of a manufacturer's product in a decentralized supply chain. Under a two‐dimensional Hotelling model, we derive decentralized retailers' prices for the products, and distortions in pricing when compared to centrally optimal prices. We show that price distortions decrease as consumers' travel cost between retailers increases, due to less intense competition. However, price distortions do not change monotonically in consumers' switching cost between products within stores. To fix decentralized retailers' price distortions, we construct a two‐part pricing contract that coordinates the supply chain. We show that the coordinating contract is Pareto‐improving and analyze increase in the supply chain profit under coordination.     

消费者短视和以旧换新情形下设计架构与定价策略研究

耐用品的耐用性会抑制了新一代耐用品的销售,企业通常会采用以旧换新政策来激励新一代耐用品的销售。企业有两种产品设计架构策略:一体化架构策略与模块化架构策略,同时企业也有两种定价策略:静态定价策略和动态定价策略。在这种情况下,企业该如何确定产品设计架构和定价策略?在假定两期内消费者是短视情形下,论文建立了消费者与企业博弈模型分析和比较了三种情况。研究发现,无论是静态定价还是动态定价,无论是模块化架构还是一体化架构,购买了第一代产品的消费者都会整体更换成第二代产品;随着第二代核心系统的质量提升,以旧换新促使企业产品架构选择从一体化架构转变为选择模块化架构;当采用动态定价、第二代核心系统质量提升适中和折扣因子高时,企业会选择模块化架构;当企业采用模块化架构时,以旧换新政策会降低模块化产品第二代核心子系统和基础子系统之间的兼容性;如果两代产品之间的质量差距比较大,企业将会选择动态定价策略,反之会选择静态定价策略。     

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。     

Prices,Markups, and Trade Reform

This paper examines how prices, markups, and marginal costs respond to trade liberalization. We develop a framework to estimate markups from production data with multi‐product firms. This approach does not require assumptions on the market structure or demand curves faced by firms, nor assumptions on how firms allocate their inputs across products. We exploit quantity and price information to disentangle markups from quantity‐based productivity, and then compute marginal costs by dividing observed prices by the estimated markups. We use India's trade liberalization episode to examine how firms adjust these performance measures. Not surprisingly, we find that trade liberalization lowers factory‐gate prices and that output tariff declines have the expected pro‐competitive effects. However, the price declines are small relative to the declines in marginal costs, which fall predominantly because of the input tariff liberalization. The reason for this incomplete cost pass‐through to prices is that firms offset their reductions in marginal costs by raising markups. Our results demonstrate substantial heterogeneity and variability in markups across firms and time and suggest that producers benefited relative to consumers, at least immediately after the reforms.