Differentiated Duopoly with Asymmetric Costs

In this paper, we compare Bertrand and Cournot equilibria in a differentiated duopoly with linear demand and cost functions. We extend the Singh and Vives (1984) model by allowing for a wider range of cost and demand (product quality) asymmetry between firms. Focusing on the case of substitute goods, we show that both the efficient firm's profits and industry profits are higher under Bertrand competition when asymmetry is strong and/or products are weakly differentiated. Therefore, Singh and Vives's ranking of profits between the two modes of competition is reversed in a sizeable portion of the relevant parameter space. Contrary to the standard result with symmetric firms, we also show that product differentiation can reduce both the efficient firm's and industry profits, implying that a local incentive towards less differentiation may arise.     

Optimal targeting with entry

We study an advertising agency's optimal choice of targeting technology with endogenous market structure, namely, when targeting changes firms' entry strategies into the advertising and product market. We show that the advertising agency faces a trade‐off between demand‐expansion and profit‐dissipation: The former arises as targeting induces more entry and increases the demand for advertising; the latter refers to that targeting relaxes competition by inducing more differentiation. We show that perfect targeting is not optimal for the advertising agency. Compared to social optimum, the advertising agency underinvests in targeting when investment cost is low and overinvests when targeting is costly.     

Product Differentiation and the Location of International Production

We analyze how product differentiation influences firms' choice between exporting and foreign direct investment. When product specifications are determined endogenously, we show that there is no symmetric solution to the product specification subgame. The cost disadvantage of an exporting firm translates into a disadvantage in product specification. Overseas production is favored if this allows the investing firm to adopt a more aggressive product specification. Our analysis suggests an ambiguous relationship among location, product differentiation, and cost and demand functions, confirmed by the existence of a parameter range for which there is no pure strategy equilibrium in location choice.     

不同市场结构下技术创新对产品利润影响研究

技术创新作为改进或创造产品、生产过程或服务方式的技术活动,分为工艺创新和产品创新两种类型。在不同的市场结构下,两种创新类型对需求曲线、成本曲线和边际成本曲线的作用不同,表现为产品成本、价格和销量的变动差异,因而产品的最终利润也不同。目前,我国不少企业在进行技术创新时,常常忽视创新类型与市场结构对需求和供给曲线的作用,导致技术上的成功无法转化为利润的实现,增加了企业的财务风险。     

Social interactions,product differentiation and discontinuity of demand

We propose a discrete choice model of socially interacting consumers choosing between two product variants. The model shows that the discontinuity of demand as well as the demand polarization proposed by Becker (1991), A Note on Restaurant Pricing and Other Examples of Social Influences on Price, depend crucially on the heterogeneity of consumers’ preferences and on the level of product differentiation. When the two products are sufficiently similar, it turns out that the market is shared asymmetrically as suggested by Becker (1991). By contrast, when the products are different and the preferences of the consumers are sufficiently heterogeneous, the market is shared symmetrically as in Hotelling’s (1929) model.     

Improving perishable product inventory management using goal programming

The multiple objectives of perishable product inventory management are examined in this paper. These objectives include: (1) satisfying demand by carrying sufficient inventories, (2) holding down inventory carrying costs, (3) keeping the amount of product spoilage (outdating) at an acceptable level, and (4) maintaining quality by using the product while it is still fresh, and (5) keeping the cost of rotation low. Some of the above objectives are in conflict. Thus, certain redistribution policies may help attain one or more of these objectives to a greater extent. Redistribution involves the transfer of the product from outlets where demand is low to outlets where demand is high. A goal programming model for solving redistribution problems is presented. An example is provided and sensitivity analysis is performed in order to determine when redistribution is advantageous. Applicability of the model is discussed.     

Strategic Product Choiceand Niche Markets

This paper presents a model of strategic product choice when consumer preferences combine features of both horizontal and vertical product differentiation. Consumers disagree on what amount of a "special" characteristic makes for a better product, but those who prefer more of this attribute are willing to pay more for it. Within this demand structure, I examine the advantages of first-mover firms. I find that such firms typically do best in markets where the maximum degree of product differentiation is limited by preferences rather than technology. These are "niche markets". Follower firms do better in markets in which the range of preferences is broad relative to the span of feasible goods.     

随机需求下销售周期对零售商绩效影响的仿真分析

运用系统动力学方法构建了包含市场需求、企业生产、劳动力和库存管理的一级供应链运作模型。通过灵敏度和优化分析仿真技术研究了随机需求下产品销售周期对零售商成本、利润和供应链牛鞭效应的影响。结论显示,与生产成本和劳动力成本相比,库存成本对产品销售周期的变化更敏感;在不考虑生产启动成本情况下,随着销售周期增大,总利润呈线性递减;连续库存补充计划比传统的经济订货批量模式能够为企业带来更多的利润,更有利于减弱牛鞭效应的影响。     

Upstream conduct and price authority with competing organizations

We characterize the degree of price authority that competing upstream principals award their downstream agents in a setting where these agents own private information about demand and incur nonverifiable distribution costs. Principals cannot internalize these costs through monetary incentives and design “permission sets” from which agents choose prices. The objective is to understand the forces shaping delegation and the constraints imposed on equilibrium prices. When principals behave noncooperatively, agents are biased toward excessively high prices because they pass on distribution costs to consumers. Hence, the permission set only features a price cap that is more likely to bind as products become closer substitutes, in sectors where distribution is sufficiently costly, and when demand is not too volatile. By contrast, when principals behave cooperatively, the optimal delegation scheme is richer and more complex. Because principals want to charge the monopoly price, the optimal permission set features a price floor when the distribution cost is sufficiently low, it features instead full discretion for moderate values of this cost, and only when it is high enough, a price cap is optimal. Surprisingly, while competition (as captured by stronger product substitutability) hinders delegation in the noncooperative regime, the opposite occurs when principals maximize industry profit.     

Inventory policies for humanitarian aid during hurricanes

In this work we present a stochastic programming model minimizing costs, to support the decision process of inventory policy which best satisfies the demand for food in shelters when hurricane winds are about to impact a town. In this model we consider perishable products as well as the first in first out (FIFO) system for their consumption. In order to make the model closer to reality ordering cost is time-varying and we add a penalty cost in case the shortage exceeds a known limit for two days in a row. Finally the cost to dispose of expired food is greater than the purchase cost of the product since throwing away food has ethical implications. Starting from a stochastic programming model, we present a procedure to transform it to a deterministic mixed integer programming model (MIP) with non-convex objective function over its entire domain, which closely states the situation in reality. Preliminary computational results and discussion are presented.     

Bracing for demand shocks: An experimental investigation

We investigate inventory ordering decisions when decision makers anticipated a demand shock. Decision makers anticipating an event have been shown to brace for an uncertain negative outcome by overestimating the likelihood of that event. Decision makers faced with a spike in demand may incur increased holding costs because they may brace, exhibiting a judgment bias, and consequently a decision bias by over-ordering inventory. Three studies span conditions of uncertainty regarding the timing and magnitude of a demand shock: Employing three between-subjects experiments, Study 1 investigates behavior when decision makers were faced with uncertainty in timing and in magnitude of demand at the most elemental level, manipulating holding and stock out costs. The three experimental tasks feature uncertainty about the magnitude of demand (Experiment 1.1), uncertainty about the timing of demand (Experiment 1.2), and uncertainty about both the magnitude and timing of demand (Experiment 1.3). Study 2 uses a dynamic, multi-period replenishment task and a between-subjects manipulation regarding the uncertainty of timing and magnitude of a demand shock. Study 3 also employs a multi-period decision environment, but compares behavior under a demand shock condition with that in a condition featuring only random variability. The collective results from the three studies identify a bias toward over-ordering in response to a demand shock, relative to the optimal orders. The between-subjects manipulations in Study 2 points toward a possible remedy as we found that providing information concerning the timing and magnitude of a shock ameliorated the bias. The primary revelation was that decision makers had more difficulty dealing with uncertain timing than with uncertain magnitude of demand. One implication is that it is particularly critical for retailers to carefully plan and manage how they share information with upstream supply chain partners regarding when they plan to introduce store-level promotions.     

Perceived versus actual value of product substitution flexibility: An experimental investigation

Prior literature suggests that in the presence of operational uncertainties such as uncertain demand, firms should deploy operational flexibilities. However, these flexibilities are costly to develop and a correct valuation of these capabilities is necessary to ensure that they are only deployed when the expected benefits exceed the cost. Using a set of behavioral decision-making experiments for inventory of substitutable products, we investigate how decision-makers perform when estimating the value of operational flexibility of product substitution. We found that subjects consistently overestimated the monetary value of product substitution. Furthermore, the overestimation became more acute as demand correlation increased. This behavior is not explained by risk aversion or random errors. Instead, it appears to be driven by fundamental and systematic behavioral biases when estimating the conjunctive probability of substitution. We suggest and validate a decomposition-based approach to mitigate this overestimation.     

The response of prices,sales, and output to temporary changes in demand

We determine empirically how automakers accommodate shocks to demand. Using data on production, sales, and transaction prices, we estimate a dynamic profit maximization model of the firm. We demonstrate that when an automaker is hit with a vehicle‐specific demand shock, sales respond immediately and prices respond very modestly. Further, when accounting for non‐convexities in the cost function, production responds with a delay. Over time, shocks are absorbed almost entirely through adjustments in sales and production rather than prices. We examine two recent demand shocks: the Ford Explorer/Firestone tire recall of 2000, and the 11 September 2001 terrorist attacks. Copyright © 2009 John Wiley & Sons, Ltd.     

Managerial utility-maximizing operating decisions under compound demand risk

This paper examines the demand and cost conditions under which utility maximizing pricing-risk and advertising-risk relationships are determinate. The structure of the firm's demand uncertainty captures both uncertain customer arrivals and uncertain individual customer demand. In addition to standard demand restrictions and constant marginal cost, determinate results depend upon the degree of managerial risk-aversion, the correlation between individual demand and customer arrival disturbances, the firm's cost fixity, and bounded product differentiation effects of advertising. The symmetry between price-cuts and advertising as demand-increasing costs is extensively examined; firm equilibrium requires that price-cuts not be an inferior input for increasing demand.     

创业者能力和机会对产品差异化优势的影响

本研究针对相关产业成长期创业的差异化阶段进行探索性研究。研究问题：哪些知识和机会概念的构成因素产生产品属性与竞争优势？经过对方太公司案例的探索,得出以下结论：低相关产业成长期创业的产业特殊知识门槛低,创业团队的学习创新能力强,创业决策时存在创业机会,才能使产品差异化成功。创业机会是一个潜藏着利润的特殊产业结构,本研究命名为创业机会结构,它由以下项目构成：（1）下游存在市场需求并成长;（2）忽视产品问题的竞争者数量多;（3）创业者有异质理念知识。差异化成功将产生上市新产品的三个产品竞争属性,即产品需求强度、产品有价值的差异程度、产品稀少性。这三个产品竞争属性正向影响产品竞争优势程度,进一步影响后续的利润。     

Consumer Feelings and Equilibrium Product Quality

This paper considers the possibility that a firm can invest not only in the true product quality, but also in activities such as merchandizing and store atmospherics that influence consumer perception of the product quality. Consumers make their purchase decisions based on the signal (perception) of quality they experience, where the signal is influenced by both the true product quality valued by the consumer and the affect of the consumer at the time of the signal formation. In this situation, a firm finds it optimal to invest in both product quality and in variables inducing affect, even though rational consumers, in equilibrium, correctly solve back for the true product quality. We uncover an asymmetry in the effects of the cost of producing quality and the cost of inducing affect. As a firm's cost of quality decreases, the firm will find it optimal to invest more both in the true quality and in the affect inducement, even if it does not have a lower cost of inducing affect. Conversely, if a firm finds it easier to induce affect, then the product quality decreases but affect-inducing activities increase.
Under competition, we find that the firm investing more in quality also invests more in affect creation. An implication of this is that in a competitive environment, consumers can rationally associate an up-lifting store atmosphere, affect inducing merchandizing, or mood-creating communication with high quality products even when the firm has no need to signal their private cost of quality information, and when there is no consumption externality of the affect. We also analyze the case in which firms might have different costs and consumers are uncertain about the costs incurred by a given firm. Here again we show that the perceived quality production is positively correlated with both the true quality and the affect inducing activities.     

Spatial competition with demand uncertainty: A laboratory experiment

Motivated by recent research on product differentiation, we conduct laboratory experiments to study how demand uncertainty influences firms' incentives to differentiate. We ground our experiment on a discrete version of the standard location-then-price game introduced by Hotelling (1929), and we consider different levels of demand uncertainty. We first derive the game equilibrium assuming risk-neutral firms, and obtain the standard prediction that a high level of demand uncertainty generates more differentiation. Second, we extend the analysis to consider non-risk neutral firms and markets with asymmetric risk profiles. We show that the game equilibrium can differ substantially according to the attitude to risk. Third, we compare our predictions with the experimental data and find that demand uncertainty acts as a differentiation force in the context of both symmetric markets composed of risk-neutral or risk-lover subjects and asymmetric markets. We find support also for the agglomeration effect arising from demand uncertainty for sufficiently risk-averse subjects. Overall, these results might explain the opposite product differentiation strategies frequently observed in markets with fast-evolving tastes (i.e., minimum or maximum differentiation). Finally, the data confirm that subjects differentiate to relax price competition and provide evidence of a strong positive relationship between differentiation and prices.     

Optimal Two‐Part Pricing under Demand Uncertainty

This paper examines the pricing behavior of a risk‐averse monopolistic firm under demand uncertainty. The firm produces a single good at a constant marginal cost. To facilitate sales, the firm uses a two‐part pricing contract that includes a membership fee and a selling price per unit. The good is sold to a continuum of heterogeneous consumers who are subject to a common demand shock. We show that the global and marginal effects of risk aversion are to push the unit price closer to the constant marginal cost and to shrink the market coverage so as to limit the firm’s risk exposure to the demand uncertainty. The more risk‐averse firm as such charges a higher membership fee to consumers. We further show that an increase in the fixed cost of production induces the firm to lower (raise) the unit price, to raise (lower) the membership fee, and to shrink (enlarge) the market coverage under decreasing (increasing) absolute risk aversion. The firm’s optimal two‐part pricing contract, however, is unaffected by changes in the fixed cost under constant absolute risk aversion. Finally, we show that a mean‐preserving‐spread increase in the demand uncertainty induces the firm to lower the unit price, to raise the membership fee, and to shrink the market coverage under either decreasing or constant absolute risk aversion. The firm’s risk preferences as such play a pivotal role in determining the optimal two‐part pricing under demand uncertainty. Copyright © 2013 John Wiley & Sons, Ltd.     

考虑隐私保护成本差异的电商企业最优决策问题——基于Hotelling模型分析

文章通过构建双寡头垄断的电商企业成本差异化的Hotelling模型,探讨了隐私提供量、单位隐私投入成本对电商个性化产品的投资决策影响。研究表明,隐私提供量在一定范围内时能够促进企业更愿意投入成本对隐私保护,但当隐私提供量超过一定量后,造成总隐私保护成本过大反而阻碍了隐私保护的进行。对于率先进行隐私保护投入的企业2来说,随着单位隐私成本投入的增加,两企业的差异化逐渐明显,该电商企业将逐渐并长期占据大部分市场,若企业1不及时改变决策,将终被挤出市场。     

Product diffusion,product differentiation and the timing of new product introduction the television and VCR market 1964-85

An econometric model of the demand and supply of color televisions, black and white televisions and video cassette recorders in the United States from 1964 to 1985 is developed and estimated. Supply and demand parameter estimates are obtained using a simultaneous equation system estimated by three-stage least squares. The model employed integrates theories of product diffusion from the marketing literature with those of the economic literature on discrete choice. Particular attention is paid to the relationship between product saturation and demand, as well as to supply decisions pertaining to product differentiation and the timing of new product introduction. The central hypothesis that product differentiation and new product introduction are more likely to occur as demands for established products slow at critical saturation levels is supported by the empirical results and actual market occurrences.