product and price competition in a duopoly this paper examines the role of consumer preferences costs and price competition in determining the competitive product strategy of a firm in the model studied here there are two identical firms competing on product quality and price they face consumers who prefer a higher quality product to a lower quality product but differ in how much they are willing to pay for quality the consumers can also choose a substitute if they don t like the product price offerings of the two firms for the firms a higher quality product costs more to produce than a lower quality product the paper shows that the equilibrium strategy for each firm should be to differentiate its product from its competitor with the firm choosing the higher quality choosing the higher margin as well this differentiation however is not efficient that is it is possible to choose two other products and offer them at prices that cover their marginal cost and still satisfy consumers needs better in the aggregate a monopolist by contrast would differentiate his product line efficiently this suggests that cannibalization has different effects on product strategy than competition the paper also shows that if one firm enters the market first then it can defend itself from later entrants and gain a first mover advantage by preempting the most desirable product position

optimal monopolist pricing under demand uncertainty in dynamic markets we examine pricing policy for a monopolist facing uncertain demand in a market characterized by dynamics on the demand side such as diffusion or saturation effects and or on the cost side experience curve effects our model explicitly incorporates the impact of demand uncertainty and thus allows us to analyze the implications of uncertainty on the optimal price path by contrasting the stochastic policy with the corresponding deterministic policy we begin with an analysis of the general model and then focus on several special cases based on well known demand specifications to gain more specific insights and to suggest directional guidelines for dynamic pricing decisions in an uncertain environment in general the interaction among uncertainty demand and or cost dynamics and firm s discount rate thus farsighted firms operating under dynamic market conditions with high demand uncertainty such as high tech companies with innovative products for consumer or industrial markets should attach partic

competitive pricing by a price leader we examine the problem of pricing in a market where one brand acts as a price leader we develop a procedure to estimate a leader s price rule which is optimal given a sales target objective and allows for the inclusion of demand forecasts we illustrate our estimation procedure by calibrating this optimal price rule for both the leader and the follower using data on past sales and prices from the mid size sedan segment of the u s automobile market our results suggest that a leader follower system stackelberg seems more consistent with the pricing behavior in this market than a mutually independent pricing rule nash we also find that our optimal price rule explains this market data better than other pricing schemes that do not account for optimizing behavior on the part of the leader and the follower

competitive maps the structure underlying asymmetric cross elasticities a special case of three mode factor analysis is used to portray the systematic structure underlying asymmetric cross elasticities for a broad class of market share attraction models analysis of the variation over retail outlets and weeks reveals competitive patterns corresponding to sales for the major brands in the market as well as patterns reflecting shelf price competition analysis of the brand domain results in a joint space one set of brand positions portrays how brands exert influence over the competition the other set of points portrays how brands are influenced by others the interset distances angles provide direct measures of competitive pressures maps are formed as spatial representations of each of the competitive patterns discovered

optimal pricing policy in the presence of experience effects i introduction in this paper we analyze the problem of optimal intertemporal pricing for a monopolist when cur rent and past output affect future cost and or demand conditions through experience in production and or in consumption learning by doing the experience curve contagion habit formation bandwagon and snob effects are all examples of terminologies used to describe such situations we call these experience effects for convenience and explore profit maximizing pricing behavior when such effects exist in the traditional profit maximization model a firm chooses the price output combination so as to maximize short run i e current profits the familiar mc mr equality given that price is higher than average variable cost and a nonbind ing capacity constraint is a necessary condition for price takers as well as price makers this as sumes that the current pricing decision has no bearing on the future so that long run profit is maximized by a series of short run maximizing

price competition and compatibility in the presence of positive demand externalities in many cases the benefit to a consumer of a product increases with the number of other users of the same product these demand interdependencies are referred to in the literature as positive demand externalities or network externalities this paper examines the dynamic pricing behaviors of an incumbent and a later entrant with special attention to the impacts of demand externalities compatibility and competition on prices and profits defining market power as the ability to price above a competitor without losing market share we show how demand externalities and installed base combine to confer market power we model optimal pricing as a differential game with the optimal price trajectory established as nash open loop controls for a duopoly durable goods market with strong demand externalities the results show an increasing price trajectory can be optimal as expected a new entrant is better off if its products are compatible with those of the incumbent especially when demand externalities are strong and the installed base of the incumbent is large less intuitively the incumbent as well may be better off agreeing on common standards the comparison of monopoly and duopoly shows that under strong demand externalities and a small installed base the incumbent profits from compatible entry

what should you do when your competitors send in the clones this paper develops a model to address an important problem facing a manufacturer of a durable product that is how can it plan its new product introductions to minimize the obsolescence of the old product preserve its market for the new product and keep copycat products at bay we analyze these issues by developing a two period model in which a firm sells an old product in period 1 and a new product in period 2 we consider various new product introduction strategies such as product replacement line extension and upgrading we find that the optimal response to a threat of competitive clones is to increase the level of product innovation this increase in innovation coupled with the entry of a competitive product implies that the incumbent firm has less of an incentive to leapfrog the old product or shelve the new product

dynamic monopoly pricing under a poisson type uncertain demand this article explores dynamic pricing strategies in the presence of uncertainty diffusion dynamics experience curve effects and a poisson type of uncertainty in the demand are incorporated in a model using the framework of a stochastic control problem the results indicate that the movement of the expected price depends on the relative strength of the contingent effects and the effects of the experience if the direction of the former is opposite to the latter and is substantial enough to dominate it the expected price path will show a pattern different from the one predicted by a deterministic model copyright 1992 by university of chicago press

using game theory to model competition the article is an exposition of the basic concepts of noncooperative game theory and their application to advertising product and price competition

technical note a note on optimal strategic pricing of technological innovations the experience curve phenomenon of falling marginal costs associated with accumulated output or production experience has given rise to dynamic pricing models optimal pricing policies will depend upon the nature of the dynamic demand and cost functions in this note we shall show that the demand function employed by bass bass f m 1980 the relationship between diffusion rates experience curves and demand elasticities for consumer durable technological innovations j bus 53 july s51 s67 when taken in conjunction with the experience curve cost function leads to a multiperiod pricing strategy which is always less than the myopically optimal price further we present a dynamic programming algorithm for the multiperiod strategy in which we have explored the effects on discounted profits of myopic pricing versus multiperiod pricing the results of this comparison may to some be somewhat surprising and may have managerial significance

a diffusion model incorporating product benefits price income and information we start by assuming that a major benefit of many new durable products such as dishwashers and microwave ovens is time savings others such as vcrs also enhance the value of our leisure time using a household production framework we demonstrate that a utility maximizing individual will have a reservation price for the product which is a function of the product benefits and his wage rate by assuming that the wage rate has an extreme value distribution across the population we are able to derive for the aggregate process an income price dependent logistic adoption equation we then allow for the possibility that certain eligible consumers may delay their purchase of the product because they are unaware that it exists are suspicious of its quality or expect its price to fall unawareness uncertainty and hope for further price declines are assumed to decrease with the increase in the number of previous adopters the resulting diffusion model has the property that the product life cycle phenomenon can be explained jointly or separately by the income price process and the awareness uncertainty expectations process using data on household income on durable penetration within different income classes and on first purchase sales the aggregate diffusion model and its premises are tested and supported it is found that both the income price and awareness uncertainty expectations processes are at work however the dependence of the awareness uncertainty expectations delay process on the number of previous adopters e g word of mouth type effect exists only in certain product categories and is usually relatively weak it is demonstrated that if the word of mouth type effects are weak a price skimming strategy is optimal for a monopolist and also is likely to be implemented by oligopolists the sales forecasting implications of the model also are pursued

the impact of competitive entry in a developing market upon dynamic pricing strategies this paper analyzes dynamic pricing strategies for new durable goods in a two period context the first period is characterized as a monopoly market structure for a new product having dynamic demand the second period begins when a new firm enters the market and thereby changes the market structure to a duopolistic one we begin by analyzing the pricing strategies of three types of monopolists nonmyopic myopic and surprised a nonmyopic monopolist is a first entrant who perfectly predicts the competitive entry a myopic monopolist totally discounts the duopolistic period and a surprised monopolist is a first entrant who has the longer time horizon of the nonmyopic monopolist but who does not foresee the competitive entry our results indicate that the nature of these pricing strategies may be quite different it is optimal for the nonmyopic firm to price its product at a higher level than the myopic monopolist additional results indicate under what circumstances the surprised monopolist will p

dynamic effects of the order of entry on market share trial penetration and repeat purchases for frequently purchased consumer goods a time series cross sectional analysis of 18 successful later entrants in 8 categories of consumer packaged goods over the period from october 1983 to january 1988 confirms previous empirical findings that after correcting for differences in marketing effort later entrants suffer a long term market share disadvantage new evidence of the penalties associated with later entry are found in statistical estimation of models of cumulative trial first repeat and subsequent repeat purchasing significantly lower asymptotic levels are found in both trial and repeat behavior however based on this data the rate of approach of later entrants to their lower asymptotic performance measures is either equal to or faster than early entrants and provides evidence of a compensating partial effect accrued by later entrants

optimal pricing strategies for new products in dynamic oligopolies this paper deals with the determination of optimal pricing policies for firms in oligopolistic markets the problem is studied as a differential game and optimal pricing policies are established as nash open loop controls cost learning effects are assumed such that unit costs are decreasing with cumulative output discounting of future profits is also taken into consideration initially the problem is addressed in a general framework and we proceed to study some specific cases that are related to models presented in recent literature three basic classes of sales dynamics are analyzed competition with price effects only competition with price as well as adoption effects and competition with adoption effects only in some cases it turns out that results which hold for the monopoly case carry over to the multi firm case in the sense that the qualitative structure of optimal pricing strategies is the same in the monopoly and the oligopoly cases however due to competitive interdependencies differences certainly exist in the levels as well as the rates of change of optimal prices

research note using basket composition data for intelligent supermarket pricing how can supermarkets use the vast data they have to design strategies to compete for large basket shoppers potentially their most profitable customers we say analyze the data to glean basket composition of heterogeneous consumers of theoretical and practical interest is the question will our suggestion improve supermarket profits and if so by what pricing strategies by answering this we can also answer the question do results of extant research on single product marketing that using such information intensifies competition and lowers profits generalize to multiproduct marketing by supermarkets that carry several products and whose patrons purchase multiple items we derive equilibrium data based intelligent pricing strategies that also produce increased supermarket profits what is more interesting is our result that data analysis is profitable whether or not a competitor undertakes data analysis if not too costly implementing data analysis is a dominant strategy moreover with comprehensive data analysis connecting basket information and household data stores can increase profits further by targeting rewards at individual households thereby segmenting the market more completely in contrast to past research findings we show that for supermarkets even under competition use of information on past purchases enables intelligent pricing better segmentation and higher profits

supply and demand estimates for feed grains in china in the past two decades the use of grain to feed livestock in china has increased rapidly a number of studies have examined demand and supply of grain for animal feed in china forecasts have been made generally these projections have turned out to be well wide of the actual supply and demand further forecasts of supply and demand for feed grains for the same time periods have differed greatly accurate forecasts of variables affecting supply and demand benefit both producers and consumers past forecasts of supply and demand of feed grain for livestock production in china are reviewed and reasons for discrepancies between projections are explored ways to improve projections of demand for and supply of grain for livestock feed in china are identified

the greener the better job creation effects of environmentally friendly technological change this article investigates the link between environment related innovation and job creation at firm level employing italian data on 4507 manufacturing firms matched with patent records for the period 2001 2008 we test whether green innovation measured by the number of environment related patents has a positive effect on long run employment growth that is specific with respect to non environmental innovation results show a strong positive impact of green innovation on long run job creation substantially bigger than the effect of other innovations our findings are robust to a number of additional tests including controls for patents quality and cost differential between generic and green innovation and endogeneity

chapter 11 pricing models in marketing publisher summary this chapter brings together a set of diverse efforts in the recent literature on the modeling of price decisions and related questions in marketing there has been an impressive growth in the array of topics investigated in the literature various trends in the development of pricing models are evident from the foregoing review first one trend has been to develop theoretical models to describe observed pricing strategies in the marketplace and to derive conditions under which certain strategies are optimal this trend is clearly evident when one considers the area of dynamic pricing models another trend is an attempt to develop pricing models in which certain aspects of consumer behavior e g asymmetric response to price increases versus price decreases are incorporated this development is quite recent and does offer a large potential a third dominant direction is the use of game theoretic models for developing equilibrium pricing strategies

optimal pricing and advertising policies for new product oligopoly models in this paper our previous work on monopoly and oligopoly new product models is extended by the addition of pricing as well as advertising control variables these models contain bass s demand growth model and the vidale wolfe and ozga advertising models as well as the production learning curve model and an exponential demand function the problem of characterizing an optimal pricing and advertising policy over time is an important question in the field of marketing as well as in the areas of business policy and competitive economics these questions are particularly important during the introductory period of a new product when the effects of the learning curve phenomenon and market saturation are most pronounced we consider first the monopoly case with linear advertising cost exponential demand and three different pricing rules the optimal variable pricing the instantaneous marginal pricing and the optimal constant pricing rules several theoretical results are established for these rules including the facts that the instantaneous marginal pricing rule is a myopic version of the optimal pricing rule and the optimal constant pricing rule is a weighted average over time of the instantaneous marginal pricing rule another surprising result is that after the market is at least half saturated a pulse of advertising must be preceded by a significant drop in price numerical solutions of a number of examples are discussed oligopolistic models are analyzed as nonzero sum differential games in the rest of the paper the state and adjoint equations are easy to write down but impossible to solve in closed form hence we describe how to reformulate these models as discrete differential games and give a numerical algorithm for finding open loop nash solutions the latter was used to solve three triopoly models in each case it was found that optimal prices and advertising rates start high and steadily decline

a simulation analysis of alternative pricing strategies for dynamic environments the implicit assumption of the classical economic model of price determination is that the firm maximizes short run profits however one of the key implications of strategy research of the past decade is that short run profit maximization is not an appropriate criterion for many market situations instead market share has been proposed as the key to long term profitability see e g buzzell gale and sultan 1974 abell and hammond 1979 this proposition has had a strong impact on both marketing practice and research hopkins 1981 reports that 88 of industrial firms surveyed spell out market share goals in detail the emphasis on market share in practice has been reflected in the theoretical side also where numerous market share forecasting and maximizing models have been published long term profitability has also become a research interest in its own right more than a dozen papers have appeared in major journals since 1975 the impetus to this activity has been the recognition of the existence of intertemporal effects in the environment for example on the demand side a consumer s purchasing in a given time period may preclude purchasing in the future because of the durability of the good or personal inventory loading on the supply side added current production early in new product introduction may reduce the cost of future proresearchers of the strategic implications of the well known demand e g adoption and diffusion and supply e g experience effects dynamics have typically sought analytical solutions their success in this has been achieved partly by limiting the richness of the dynamics considered this paper describes a simulation modeling capability simstrat which trades off analytical solutions for richer more realistic representations of supply and demand we present the model and then the results of our initial investigations using simstrat when joined with new computer graphics capabilities the model is successful in identifying conditions conducive to skimand penetration pricing strategies

competition strategy and price dynamics a theoretical and empirical investigation the authors explore how competition affects dynamic pricing of new products dynamics of diffusion saturation and cost reduction due to experience are all considered with emphasis on the last t

skimming or penetration strategic dynamic pricing for new products current complex dynamic markets are characterized by numerous brands each with multiple products and price points and differentiated on a variety of product attributes plus a large number of new product introductions this study seeks to analyze dynamic pricing paths in a highly complex branded market consisting of 663 products under 79 brand names of digital cameras the authors develop a method to classify dynamic pricing strategies and analyze the choice and correlates of observed pricing paths in the introduction and early growth phase of this market the authors find that despite numerous recommendations in the literature for skimming or penetration pricing market pricing dominates in practice in particular the authors find five patterns skimming 20 frequency penetration 20 frequency and three variants of market pricing patterns 60 frequency where new products are launched at market prices skimming pricing launches the new product 16 above the market price and subsequently increases the price relative to the market price penetration pricing launches the new product 18 below the market price and subsequently lowers the price relative to the market price firms exhibit a mix of these pricing paths across their portfolios the specific pricing paths correlate with market firm and brand characteristics such as competitive intensity market pioneering brand reputation and experience effects the authors discuss managerial implications

firm expansion size spillovers and market dominance in retail chain dynamics we develop and estimate a dynamic game of strategic firm expansion and contraction decisions to study the role of firm size in future profitability and market dominance modeling firm size is important because retail chain dynamics are more richly driven by expansion and contraction than de novo entry or permanent exit additionally anticipated size spillovers may influence the strategies of forward looking firms making it difficult to analyze the effects of size without explicitly accounting for these in the expectations and hence decisions of firms expansion may also be profitable for some firms while detrimental for others thus we explicitly model and allow for heterogeneity in the dynamic link between firm size and profits as well as potential for persistent brand effects through firm specific unobservable factors as a methodological contribution we surmount the hurdle of estimating the model by extending a two step procedure that circumvents solving the game the first stage combines semipar

monopolist pricing with dynamic demand and production cost this paper deals with pricing of a new product over time by a monopolist who maximizes the discounted profit stream the interdependency of cost and demand on cumulative production makes the problem inherently dynamic cost is assumed to be declining with cumulative production learning curve effect while demand is a function of price and cumulative sales representing word of mouth and saturation effects the paper addresses this problem in a general framework that includes several previous results as special cases and provides new insights in other situations while the learning curve and word of mouth effect cause prices to be lower than the price that maximizes immediate revenues the saturation factor has the opposite effect the price path over time is affected by these factors and the interest rate we characterize the price path under several different situations and interpret the results for policy guidelines