Product Positioning and Pricing Under Production Cost Considerations*

A framework in a competitive environment is proposed that incorporates production cost and economies of scale in the problem of positioning a product for a market segment. The model facilitates the existence of a Nash equilibrium in prices and product positions. As such, firms can simultaneously choose prices and product positions for the segment. This result improves the traditional theory on equilibria points in prices and product positions where firms choose their product positions first and then set their prices. A sensitivity analysis demonstrates the effects of changes in the unit savings derived from economies of scale or the cost of furnishing a product with its attributes by one firm on the product positions, prices, and profits of all competing firms. More important, the paper examines the effect on prices and profits of competing firms when one of the firms repositions its product closer to the segment's ideal point. It is shown that under certain conditions, the profit of a firm may actually decrease as it redesigns its product closer to the segment's ideal point. These conditions assist management to identify the product design beyond which enhancements of the product would lead to lower profits because of increasing production costs. It is also shown that the price of this firm increases. Past research supports the idea that positioning a brand closer to the ideal point, given fixed product positions of competing firms, would lead to greater buyer preferences and eventually higher profits. The price and profits of the competing firm may increase or decrease. Conditions are derived under which a movement towards the segment's ideal point by one firm would lead to higher profits by the competing firm.     

Mass Customization and Guardrails: “You Can Not Be All Things to All People”

A mass customization strategy enables a firm to match its product designs to unique consumer tastes. In a classic horizontal product‐differentiation framework, a consumer's utility is a decreasing function of the distance between their ideal taste and the taste defined by the most closely aligned product the firm offers. A consumer thus considers the taste mismatch associated with their purchased product, but otherwise the positioning of the firm's product portfolio (or, “brand image”) is immaterial. In contrast, self‐congruency theory suggests that consumers assess how well both the purchased product and its overall brand image match with their ideal taste. Therefore, we incorporate within the consumer utility function both product‐specific and brand‐level components. Mass customization has the potential to improve taste alignment with regard to a specific purchased product, but at the risk of increasing brand dilution. Absent brand dilution concerns, a firm will optimally serve all consumers’ ideal tastes at a single price. In contrast, by endogenizing dilution costs within the consumer utility model, we prove that a mass‐customizing firm optimally uses differential pricing. Moreover, we show that the firm offers reduced prices to consumers with extreme tastes (to stimulate consumer “travel”), with a higher and fixed price being offered to those consumers having more central (mainstream) tastes. Given that a continuous spectrum of prices will likely not be practical in application, we also consider the more pragmatic approach of augmenting the uniformly priced mass customization range with preset (non‐customized) outlying designs, which serve customers at the taste extremes. We prove this practical approach performs close to optimal.     

炫耀性产品品牌策略：品牌延伸或新品牌？

企业在推出炫耀性产品时，可以采用两种品牌策略：品牌延伸或新品牌。为分析企业的炫耀性产品品牌策略，通过博弈论本文建立了无新产品、品牌延伸和新品牌三种模型，并得到了垄断情形与竞争情形下企业在不同品牌策略下的最优定价和利润。研究发现：在垄断情形下，企业总是采用品牌延伸策略。而在面临企业竞争时，如果消费者对地位身份不敏感，则企业选择不推出新产品；如果消费者对身份地位敏感，则当创建新品牌成本较小时，企业采用新品牌策略，否则企业选择放弃推出新产品。此外，一定条件下，企业推出新品牌会增加竞争对手的利润。     

Optimal Pricing of Two Successive‐Generation Products with Trade‐in Options under Uncertainty

To entice consumers to purchase both current and next generation products, many manufacturers and retailers offer trade‐in programs that allow buyers of the first generation product to trade‐in the product and purchase the new generation product at a lower price. By considering the interactions between “forward‐looking” consumers and a firm when a trade‐in program is offered, we analyze a two‐period dynamic game to determine the optimal prices of two successive‐generation products in equilibrium, and examine the conditions under which trade‐in programs are beneficial to the firm. Our model incorporates market heterogeneity (valuation of the first generation product varies among the consumer population), product uncertainty (the incremental value of the new product is uncertain before its introduction), and consumers' forward‐looking behavior (consumers take future product valuation and prices into consideration when making purchasing decisions). With the trade‐in option, we show that consumers are willing to pay a price that is higher than their valuations of the current product. Furthermore, trade‐in programs are more beneficial to the firm when: (i) the durability of the current product is high; (ii) the market heterogeneity is low; or (iii) the uncertainty level (or the expected incremental value) of the new product is high. Finally, when the incremental value of the new product is more uncertain, consumers are more willing to purchase the current product because of the “option” value of the trade‐in programs and thus trade‐in programs can be more beneficial to the firm in this case.     

To Preannounce or Not: New Product Development in a Competitive Duopoly Market

In this study, we consider the issue of preannouncing or not preannouncing the development of a new product. Our research is motivated by contrasting views in the literature and varying actions observed in practice. We develop and analyze a game theoretic model that examines the effect of a firm's preannouncement of its product development. Our model is based on a durable goods duopoly market with profit‐maximizing firms. The first firm is an innovator who initially begins developing the product; the second firm is an imitator that begins developing a competing product as soon as it becomes aware of the innovator's product. We assume that consumers are rationally expectant and purchase at most one unit of the product when they have maximum positive utility surplus that is determined by the characteristics of the product, the consumer's marginal utility, and the consumer's discounted utility for future expected products. The innovator firm can release information about its product when it begins developing the product or can guard information about its product until it introduces the product into the market. Our analysis and numerical tests show that, under some conditions, the innovator firm can benefit by preannouncing its product and giving the imitator firm additional time to differentiate its product. We discuss these conditions and their implications for new product development efforts.     

Product Positioning in a Two‐Dimensional Market Space

This paper examines the optimal product portfolio positioning for a monopolist firm in a market where consumers exhibit vertical differentiation for product performance and horizontal differentiation for product feature. Our key results are as follows: (i) Variable costs drive vertical differentiation. In the presence of significant volume‐dependent manufacturing costs, the optimal portfolio contains a mix of vertically and horizontally differentiated products and an increase in the variable cost makes adding vertically differentiated products relatively more profitable; if fixed volume‐independent design costs dominate, the portfolio exhibits solely horizontal differentiation. (ii) Horizontal differentiation is the main profit lever, and vertical differentiation brings only a marginal benefit; this is true even when most of the consumers exhibit low willingness to pay for performance, which is often used as an excuse to offer low‐end products. (iii) There are more low‐quality products than high‐quality ones, and market coverage increases when the willingness to pay for performance increases. In summary, the model shows how portfolio composition decisions depend on the product cost structure and the consumer preferences.     

基于混合定向方式的移动定向广告投放策略研究

以移动广告为研究背景,研究地理定向和消费者产品偏好定向相结合的混合定向方式下企业的定向广告投放策略,同时通过对比企业投放定向广告与大众广告,研究企业的广告策略选择问题。研究发现,企业运用定向广告策略应针对不同的消费者群体提供差异化较大的营销策略:对属于企业近距离范围且偏好企业产品的优势市场,企业应加大广告投放力度并实行高价;为了争取部分远端劣势市场的收益,企业应向其投放一定力度的广告并实行低价;对属于双方的竞争市场,企业应选择中等程度的广告和价格。同时,通过与企业投放大众广告相比较,发现竞争企业使用定向广告策略反而不如使用大众广告策略。     

Divide and Conquer: Competing with Free Technology Under Network Effects

We study how a commercial firm competes with a free open source product. The market consists of two customer segments with different preferences and is characterized by positive network effects. The commercial firm makes product and pricing decisions to maximize its profit. The open source developers make product decisions to maximize the weighted sum of the segments' consumer surplus, in addition to their intrinsic motivation. The more importance open source developers attach to consumer surplus, the more effort they put into developing software features. Even if consumers do not end up adopting the open source product, it can act as a credible threat to the commercial firm, forcing the firm to lower its prices. If the open source developers' intrinsic motivation is high enough, they will develop software regardless of eventual market dynamics. If the open source product is available first, all participants are better off when the commercial and open source products are compatible. However, if the commercial firm can enter the market first, it can increase its profits and gain market share by being incompatible with its open source competitor, even if customers can later switch at zero cost. This first‐mover advantage does not arise because users are “locked in,” but because the commercial firm deploys a “divide and conquer” strategy to attract early adopters and exploit late adopters. To capitalize on its first‐mover advantage, the commercial firm must increase its development investment to improve its product features.     

When to Offer Lower Quality or Remanufactured Versions of a Product

We investigate the profitability of adding a lower quality or remanufactured product to the product portfolio of a monopoly firm, both in single‐period and steady‐state settings. Consumer behavior is characterized by a deterministic utility function for the original product and a nonlinear relative utility function for the lower quality product. We find a threshold for the cost of the low‐quality product below which it is optimal to add it to the firm's portfolio, and show that while a cost advantage is necessary to make the lower quality offering profitable under linear or convex relative utility functions, market segmentation alone can justify the addition of the lower quality product under concave relative utility functions. In particular, we characterize (i) the new product cost under which it is optimal to offer a lower quality version of the product even if it is as costly to produce as the original product; and (ii) the weighted average of new and remanufactured product costs in the steady state under which it becomes cost effective to offer new products under the remanufactured label. Finally, we also identify the maximum possible profits from customer segmentation and the form of the relative utility function that achieves them. We discuss the implications for the common marketing practices of branding and generics.     

The Impact of Limited Supply on a Firm's Bundling Strategy

A firm's two‐product bundling decision is examined when the supply of one product is limited and consumer valuations are normally distSteckeributed. The firm can choose to sell products separately and/or through a bundle. We find that the impact of limited supply on a firm's bundling decision depends on the correlation between the consumer valuations of the two products as well as the symmetry level of the two products in terms of their attractiveness (how much they are valued by consumers). When the valuation correlation is high and the symmetry level of the two products is low, limited supply can drive bundling. When the valuation correlation is low or the symmetry level is high, limited supply can drive no bundling. When the attractiveness of both products are low or the valuation correlation is very high, limited supply has no impact on a firm's bundling decision: The firm should not bundle for all supply levels. This study offers a new driver for product bundling: the limited supply of a product. The existing bundling literature suggests that a firm should bundle symmetric products that have a low consumer valuation correlation, when bundling is driven by consumer valuation heterogeneity reduction. In contrast, when bundling is driven by limited supply, a firm should bundle asymmetric products with a high consumer valuation correlation. The benefit of supply‐driven bundling depends on the severity of supply limitation. When supply limitation is moderate, bundling creates value by expanding the market of the less attractive product. When supply limitation is severe, bundling enables a firm to extract a higher margin from the less attractive product.     

三维交易模式下企业协同低碳减排研究

低碳经济下企业的运作模式已由传统的资源-产品二维交易演化为资源-产品-碳排放权的三维交易模式，因此对三维交易模式下企业协同减排的研究变的越来越重要。本文利用Stackelberg博弈理论探讨了销售商驱动情景下低碳再制造闭环供应链分散决策模型、集中决策模型、合作减排模型的运作规律，分析研究了低碳产品市场和废旧产品市场中低碳产品销售价、交易价格、低碳废旧产品回收价格等重要变量和节点企业期望效用及整个链条期望效用的变化规律。并通过数值算例与灵敏度分析，分别对三种博弈关系下低碳产品的碳排放量、消费者的敏感系数、碳交易价格的变动带来的销售商和制造商的期望效用及销售价、批发价带来的影响进行了分析。研究显示：与非低碳化相比，低碳化下制造商和销售商的期望效用均提高；风险规避程度、碳排放交易价格、碳排放量及消费者对低碳产品的敏感系数的提高均降低了期望效用，同时市场占有率随之减少。研究验证了低碳再制造闭环供应链模型的有效性及实用性，彰显了模型的经济与管理启示。     

A Competitive Model of Customization with Lead‐Time Effects

In this article, we study the competitive interactions between a firm producing standard products and a firm producing custom products. Consumers with heterogeneous preferences choose between n standard products, which may not meet their preferences exactly but are available immediately, and a custom product, available only after a certain lead time l. Standard products incur a variety cost that increases with n and custom products incur a lead time cost that is decreasing in the lead time l. We consider a two‐stage game wherein at stage 1, the standard product firm chooses the variety and the custom firm chooses the lead time and then both firms set prices simultaneously. We characterize the subgame‐perfect Nash equilibrium of the game. We find that both firms can coexist in equilibrium, either sharing the market as local monopolists or in a price‐competitive mode. The standard product firm may offer significant or minimal variety depending on the equilibrium outcome. We provide several interesting insights on the variety, lead time, and prices of the products offered and on the impact of problem parameters on the equilibrium outcomes. For instance, we show that the profit margin and price of the custom product are likely to be higher than that of standard products in equilibrium under certain conditions. Also, custom firms are more likely to survive and succeed in product markets with larger potential market sizes. Another interesting insight is that increased consumer sensitivity to product fit may result in lower lead time for the custom product.     

Optimal Policies for Selling New and Remanufactured Products

Because of environmental and economic reasons, an increasing number of original equipment manufacturers (OEMs) nowadays sell both new and remanufactured products. When both products are available, customers will buy the one that gives them a higher (and non‐negative) utility. Thus, if the firm does not price the products properly, then product cannibalization may arise and its revenue may be adversely impacted. In this paper, we study the pricing problem of a firm that sells both new and remanufactured products over a finite planning horizon. Customer demand processes for both new and remanufactured products are random and price‐sensitive, and product returns (also called cores) are random and remanufactured upon receipt. We characterize the optimal pricing and manufacturing policies that maximize the expected total discounted profit. If new products are made‐to‐order (MTO), we show that when the inventory level of remanufactured product increases, the optimal price of remanufactured product decreases while the price difference between new and remanufactured products increases; however, the optimal selling price of new product may increase or decrease. If new products are made to stock (MTS), then the optimal manufacturing policy is of a base‐stock policy with the base‐stock level decreasing in the remanufactured product inventory level. To understand the potential benefit in implementing an MTO system, we study the difference between the value functions of the MTO and MTS systems, and develop lower and upper bounds for it. Finally, we study several extensions of the base model and show that most of our results extend to those more general settings.     

考虑消费者环保意识与政府补贴的企业绿色技术创新决策研究

在绿色经济时代,绿色技术创新已经成为越来越多企业获取竞争优势的途径。本文基于消费者需求偏好,在不同的政府补贴情形下,构建了包含绿色产品与普通产品生产企业的双寡头竞争模型和斯塔克博格模型,分析了企业绿色技术创新驱动因素和行动时机。研究表明：消费者环保意识有助于提升绿色产品市场份额和企业利润,而绿色产品的单位成本增加会降低其市场份额和企业利润,且绿色产品的单位成本与普通产品企业的利润呈倒U型关系;政府对绿色产品的补贴,可以促进企业绿色技术创新。补贴消费者与补贴企业两种方式下产品的市场份额和社会总福利相同,考虑到补贴的执行成本,补贴消费者更优;绿色产品生产企业作为追随者时,绿色产品的市场占有率最高,社会总福利也最高,因此,后发行动策略是企业绿色技术创新的占优行动策略。     

Quality Provision with Heterogeneous Consumer Reservation Utilities

This study examines a firm's quality and price decisions when consumers differ not only in their willingness‐to‐pay for quality but also in their reservation utility for the basic product. We find that while the firm offers lower‐quality products when consumers' valuations for quality deteriorate, the optimal quality may increase with a negative shift in consumers' reservation utilities. We also investigate the optimal price and quality of the products within a vertically differentiated product line when the number of products is exogenously given. The existing literature shows that when consumers differ only in their willingness‐to‐pay for quality, the firm sets the efficient quality for consumers with the highest valuation for quality, whereas the concern for cannibalization pushes down the quality of inferior products. We find that when consumers are heterogeneous in both their reservation utility and valuation for quality, the concern for cannibalization may distort the quality upwards, even for consumers with the highest willingness‐to‐pay for quality. In addition, a low‐quality product may enjoy a higher profit margin than a high‐quality product within the product line.     

消费者品牌忠诚对品牌商再制造市场策略的影响

独立再制造商IR的市场进入给品牌商带来了显著的竞争压力。品牌忠诚源于消费者对某个产品品牌的信任和特殊情感,在产品选择中具有明显的倾向性和排他性,进一步增加了品牌商市场策略的复杂性。针对这一现象,本文采用博弈论结合数值仿真研究了消费者具有品牌忠诚特性下的品牌商再制造市场策略问题。建立并求解了IR不进入且品牌商不再制造（n）、IR不进入且品牌商再制造（nR）、IR进入且品牌商不再制造（nr）、IR进入且品牌商再制造（nrR）四种市场模式,对模型结果进行了灵敏度分析,并探讨了各成员的模式偏好。研究表明：新产品价格、品牌再制品价格、一般再制品价格均与品牌忠诚度正相关;品牌忠诚度的提高一定增大品牌商的利润,但不一定会降低IR利润;当新产品制造成本较高时,品牌商的模式偏好始终为nR$\succ$nrR$\succ$n$\succ$nr,较低时模式偏好受到消费者品牌忠诚度的大小的影响;nr和nrR模式下,品牌忠诚度仅可能提高品牌消费者剩余,但会降低普通消费者剩余、总消费者剩余和社会总福利。     

Revenue and Cost Management for Remanufactured Products

This paper considers pricing and remanufacturing strategy of a firm that decides to offer both new and remanufactured versions of its product in the market and is concerned with demand cannibalization. We present a model of demand cannibalization and a behavioral study that estimates a key modeling parameter: a fraction of consumers who switch from new to remanufactured product. As we show, this fraction has an inverted‐U shape, and, thus, the underlying consumer behavior cannot be modeled using the standard methodologies that rely on consumers' willingness to pay (WTP). We find that by incorporating the inverted‐U‐shaped consumer behavior, the firm remanufactures under broader conditions, charges a much lower price, and typically remanufactures more units—leading to an increase of profits from remanufacturing by up to a factor of two as compared with making decisions based on the WTP only. Lastly, we find that the behavior of the low‐price market segment plays an important role because the firm reacts to it differently than the WTP‐based logic would suggest.     

Production and Sales Planning in Capacitated New Product Introductions

How should a firm with limited capacity introduce a new product? Should it introduce the product as soon as possible or delay introduction to build up inventory? How do the product and market characteristics affect the firm's decisions? To answer such questions, we analyze new product introductions under capacity restrictions using a two‐period model with diffusion‐type demand. Combining marketing and operations management decisions in a stylized model, we optimize the production and sales plans of the firm for a single product. We identify four different introduction policies and show that when the holding cost is low and the capacity is low to moderate, a (partial) build‐up policy is indeed optimal if consumers are sensitive to delay. Under such a policy, the firm (partially) delays the introduction of its product and incurs short‐term backlog costs to manage its future demand and total costs more effectively. However, as either the holding cost or the capacity increases, or consumer sensitivity to delay decreases, the build‐up policy starts to lose its appeal, and instead, the firm prefers an immediate product introduction. We extend our analysis by studying the optimal capacity decision of the firm and show that capacity shortages may be intentional.     

策略型消费者创新感知与产品定价换代策略研究

科学技术迅猛发展促使厂商频繁推出创新型产品以抢占市场份额,产品定价和换代策略成为厂商经营成败的重要因素。本文在产品技术创新视角下构建双寡头厂商三阶段产品最优定价与换代决策模型,结合效用函数和博弈分析方法从同质产品市场拓展为异质产品市场,求解出单品换代策略及共生换代策略下新品上市时点和旧产品退出市场时点的显示解,并通过仿真模拟探讨产品技术创新水平、消费者创新感知度对最优产品定价和换代策略的影响。研究表明产品技术创新水平和消费者创新感知度对厂商产品定价和换代策略有重要影响。同质产品市场下,市场潜在需求越大,产品初始定价越高。厂商面临内外部产品竞争时,市场潜在需求较小且两代产品处于共生状态下,为减弱内部竞争新旧产品最优定价差距不大;当市场潜在需求较大,厂商新品定价由技术创新水平决定,消费者技术创新感知值越高,新品定价越高,反之越低。当厂商技术创新水平处于劣势时,两厂商技术创新水平差距越大,劣势厂商越应提早退出市场。     

Optimizing Service Attributes: The Seller's Utility Problem*

Service designers predict market share and sales for their new designs by estimating consumer utilities. The service's technical features (for example, overnight parcel delivery), its price, and the nature of consumer interactions with the service delivery system influence those utilities. Price and the service's technical features are usually quite objective and readily ascertained by the consumer. However, consumer perceptions about their interactions with the service delivery system are usually far more subjective. Furthermore, service designers can only hope to influence those perceptions indirectly through their decisions about nonlinear processes such as employee recruiting, training, and scheduling policies. Like the service's technical features, these process choices affect quality perceptions, market share, revenues, costs, and profits. We propose a heuristic for the NP‐hard service design problem that integrates realistic service delivery cost models with conjoint analysis. The resulting seller's utility function links expected profits to the intensity of a service's influential attributes and also reveals an ideal setting or level for each service attribute. In tests with simulated service design problems, our proposed configurations compare quite favorably with the designs suggested by other normative service design heuristics.