the role of brand image and product characteristics on firms entry and oem decisions we investigate the optimal market entry and original equipment manufacturer oem decisions of a firm facing a market in which firms brands can be horizontally differentiated and products can be vertically differentiated the entrant might sell under its own brand and compete with an incumbent become a supplier to the incumbent or both findings reveal that when consumers perceive the firms are horizontally and vertically differentiated the entrant profits by simultaneously entering the market and establishing an oem arrangement with the incumbent in such competitive scenarios both buyer and seller increase profits by agreeing on wholesale prices that are not too low which softens both horizontal and vertical conflict between the firms findings also show that the incumbent may prefer to pay high wholesale prices to the entrant even if the incumbent had the option to source the product independently at a lower marginal cost when firms have the capability of producing each other s product lines su

on the equivalence of nash and evolutionary equilibrium in finite populations abstract this paper provides sufficient and partially necessary conditions for the equivalence of symmetric nash and evolutionary equilibrium in symmetric games played by finite populations the conditions are based on generalized constant sum and smallness properties the latter of which is known from models of perfect competition and large games the conditions are illustrated on examples including oligopoly games

evolutionary equilibrium in contests with stochastic participation entry effort and overdissipation this paper examines the evolutionary stability of behaviour in contests where players participation can be stochastic we find for exogenously given participation probabilities players exert more effort under the concept of a finite population evolutionarily stable strategy fpess than under nash equilibrium ne we show that there is ex ante overdissipation under fpess for sufficiently large participation probabilities if and only if the impact function is convex with costly endogenous entry players enter the contest with a higher probability and exert more effort under fpess than under ne importantly under endogenous entry overdissipation can occur for all tullock contest success functions in particular those with concave impact functions

resource allocation to defensive marketing and manufacturing strategies abstract in this paper we investigate the coordinated use of marketing and manufacturing strategies to formulate a defensive business strategy for an incumbent firm upon market entry while defensive marketing strategies have been researched extensively little has been done on defensive manufacturing strategies and even less on coordinating these two we propose a formulation for the joint formation of a defensive strategy by the marketing and production functions under budget constraint considerations the incumbent firm may allocate its resourcesto advertising and distribution expenditures as well as to manufacturing investments to reduce the unit production cost the incumbent firm has also the option of simply allocating all of its resources purely to advertising and distribution we show that while there exist cases where the optimal reaction to entry involves investments in manufacturing improvements there are also cases where defense is in marketing strategies alone we identify the market conditions that promote such reactions to entry and also provide sensitivity analysis

survival at the center the stability of minimum differentiation abstract we model a hotelling market with multidimensional product differentiation in an evolutionary framework both evolutionary stability in the sense of schaffer 1989 and stochastic stability following kandori et al 1993 young 1993 are analyzed it is shown that firms move towards the center in product space i e a principle of minimum differentiation on all dimensions of the product space applies

reference pricing and firms pricing strategies abstract within a horizontal differentiation model and allowing for heterogeneous qualities we analyze the effects of reference pricing reimbursement on firms pricing strategies with this analysis we find inherent incentives for firms pricing behavior and consequently we shed some light on the time consistency of such policy the analysis encompasses different reference price rules i reference price as the minimum of the observed prices in the market ii reference price as a linear combination of firms prices results show that under the minimum policy firms are not able to coordinate on higher prices while the linear policy implicitly provides a coordination device we have also found that relatively to the linear policy when the reference price is the minimum of observed prices after policy implementation total and private expenditures are higher and consumer surplus and firms profits are lower with quality differentiation both the minimum and linear policies unambiguously lead to higher prices

to commit or not to commit revisiting quantity vs price competition in a differentiated industry previous studies have shown that quantity commitment by all firms in an industry mitigates price competition this paper shows that when firms have a choice asymmetric outcomes can arise with some firms choosing to commit to a quantity and other firms choosing not to to study the commitment decision we analyze a multistage game within a duopoly of differentiated firms a la hotelling in the first stage of the game firms choose whether or not to commit to a quantity in the second stage each firm that chose to commit sets a quantity which represents an upper bound on how much it can sell to consumers in the third stage both firms set prices strategically regardless of whether or not they committed in the final stage demand is allocated as consumers maximize their utilities firm s that chose not to commit to a quantity in the first stage can fulfill any quantity that consumers demand at the equilibrium prices we find that if product differentiation is sufficiently low both firms choose to co

a continuous logit hotelling model with endogenous locations of consumers this paper analyzes location and price choices of firms and subsequent location choices of consumers in a linear city model when consumers have different perceptions of locations and firms the study utilizes a continuous logit model to describe consumers location and supplier choices a unique subgame perfect nash equilibrium exists where firms make positive profits and the minimum differentiation principle applies for identical firms prices converge to marginal costs as heterogeneity of consumers perceptions disappears

on the limits and possibilities of the principle of minimum differentiation abstract introducing a finite reservation price in hotelling s spatial duopoly with linear transportation costs shows that i there does not exist a pure strategy symmetric location equilibrium if the reservation price is high ii there is a continuum of monopolistic equilibria if the reservation price is low and iii there exists a unique pure strategy symmetric location equilibrium in which the two firms compete with each other and cover the entire market if the reservation price is intermediate the equilibrium distance between the two firms in the latter case is at least a quarter and at most half the length of the market

the principle of minimum differentiation revisited abstract hotelling s model of differentiated products is examined and modified so that consumers have relatively low reservation prices for the differentiated products the problem of existence of a nash equilibrium in prices in a duopoly with given products is analysed when the reservation price is relatively low a nash equilibrium in prices exists for a larger range of products than when the reservation price is infinite next i examine product competition with instantaneous adjustment to the nash equilibrium prices of the previous game firms competing in a nash fashion have tendencies to move away from each other and try to achieve local monopolistic positions this is in sharp contrast with the acclaimed principle of minimum differentiation of the original model of hotelling of high reservation price where firms clustered in the product space

on the efficiency of location decisions under discriminatory pricing abstract the paper analyzes the question of whether delivered pricing policies give rise to an inefficient location of firms and in particular to a geographical distribution of capacity which is overly concentrated the analysis adds to the literature on spatial pricing and location decisions the element of uncertainty over the timely delivery of products and therefore the possibility that risk averse consumers may be willing to pay a higher delivered price for products if they can hedge and divide their orders among two suppliers the results are in strong contradiction to the common belief that identical delivered pricing systems produce a highly inefficient distribution and that fob would yield the optimal location however it is shown that in markets with coordination problems the concern about excessive concentration of productive capacity may be legitimate

note competitive price and positioning strategies brand positioning and brand pricing are important strategic decisions for marketing managers such decisions are interrelated and depend upon competitive brand positions and prices however any unilateral decisions may encourage repositioning and price adjustment by competitors thus leading to either new market equilibria or a price positioning war this paper examines such price and positioning decisions in a competitive environment by extending the defender consumer model to more complex equilibria we assume that the brands are already in the market and that positions are sticky in the sense that brands cannot leapfrog one another among the insights for such incumbent brands are if prices are symmetric and held constant firms seek to reposition toward the center of the market but price advantages by central firms can mediate that central tendency such that an equilibrium exists with positive profits if brand positions are held constant the nash equilibria for prices exist and are unique and category profits the sum of brand profits are maximized for maximum brand differentiation for two and three brand markets the subgame perfect nash equilibrium where positioning decisions are made with foresight on the price equilibria causes firms to unilaterally seek maximum brand differentiation but for four or more brands greater foresight and or cooperation appears necessary to reach the point of maximum brand differentiation these results apply where the defender consumer model is an exact description of consumer response and where the competitive reaction assumptions hold in any empirical situation such forces might be softened resulting in differentiated but not maximally differentiated brands

symmetric equilibrium existence and optimality in differentiated product markets abstract equilibrium existence and optimality are analysed in a market for products differentiated by their variety a game of three stages is analysed firms enter in the first stage choose varieties in the second stage and choose prices in the third stage the existence of subgame perfect equilibria is established at equilibrium products are symmetrically located in the space of characteristics and are offered at equal prices the surplus maximizing solution is characterized and it is shown that surplus maximizing product diversity is lower than the equilibrium one

evolutionary stability and nash equilibrium in finite populations with an application to price competition abstract schaffer schaffer m e 1988 evolutionarily stable strategies for a finite population and a variable contest size journal of theoretical biololgy 132 469 478 proposed a concept of evolutionary stability for finite population models that has interesting implications in economic models of evolutionary learning since it is related to perfectly competitive equilibrium the present paper explores the relation of this concept to nash equilibrium in particular classes of games including constant sum games games with weak payoff externalities and games where imitative decision rules are individually improving an illustration of the latter is provided in the context of bertrand oligopoly with homogeneous product which allows for a characterization of the set of evolutionarily stable prices

the evolution of walrasian behavior consider an evolutionary context where a given number of quantity setting oligopolists tend to mimic successful behavior occasionally experimenting with some small probability in this context it is shown that the unique long run outcome of the process has all firms playing walrasian i e choosing an output that maximizes profits when taking the market clearing price as given

tax competition relative performance and policy imitation rather than about their absolute payoffs governments in fiscal competition often seem to care about their performance relative to other governments moreover they often appear to mimic policies observed elsewhere i study such behavior in a standard tax competition game both with relative payoff concerns and for imitative policies evolutionary stability for games with finitely many players is the appropriate solution concept independently of the number of jurisdictions involved an evolutionarily stable tax policy coincides with the competitive outcome of a tax competition game with infinitely many players it thus involves drastic efficiency losses

the economics of product variety a survey demand for variety may arise from a taste for diversity in individual consumption and or from diversity in tastes even when each consumer chooses a single variant the full degree of variety potentially demanded will not in general be supplied because scale economies even to a small degree mean that the potential welfare or revenue gain from greater variety must be balanced against the lower unit production costs with fewer variants the economics of product variety consists essentially in analysing the effect of this balance in different situations and comparing the degree of product variety for different market structures with each other and with the optimum the survey commences with the work on market structures with single product firms generalized monopolistic competition tracing modern developments in both the chamberlinian and hotelling traditions the latter has been particularly fruitful due to the expansion of the original locational ideas into virtual spaces in product characteristics the emphasis in recent work on product variety has been on multiproduct firms in both monopolistic and oligopolistic structures including strategic market preemption although most work has been in a full information context there have been advances in product variety under imperfect information either by consumers to properties of the firms products or firms as to consumers demands

delivered pricing and merger with demand constraints i introduction studies of merger activity in models of spatial price discrimination conventionally assume that pricing by firms is not constrained by demand instead the only constraints on the discriminatory prices charged are the cost structures of the adjacent rivals the issue of demand constraints has received attention by wang and yang 1999 in related literature but not in examining the consequences of a spatial merger we demonstrate that when discriminatory prices are constrained by willingness to pay demand the conclusions of existing models must be substantially modified first although introducing a demand constraint does not alter firm locations in the absence of merger it does alter firm locations in the presence of merger second the demand constraint results in equilibrium locations that depend on transport cost which is not the case in previous models transport cost plays an important role in spatial models and its absence to date from models of spatial merger is unrealistic moreover the dependence of location on transport costs invites the possibility that a tax on transport costs can change locations in an efficient fashion third introducing a demand constraint reverses previous results relating to the merger paradox in particular in the absence of a demand constraint models of spatial price discrimination provide instances in which the parties to a merger gain profit and the excluded firms lose profits there are no such instances in the presence of demand constraints in what follows the second section places our work within the literature and highlights the issue of demand constraints the third section presents the model contrasting it with earlier models the fourth section identifies the equilibrium locations that arise when there is the prospect of merger and contrasts these locations with those that arise in the absence of demand constraints the section also demonstrates that when demand is constrained the model of spatial price discrimination yields no cases that resolve the merger paradox a result contrasting with that offered by the model in which demand constraints are absent the fifth section demonstrates that a tax on transport can increase welfare indeed the optimal tax often completely eliminates spatial price competition by creating local monopolies the sixth section considers the full range of cases in which some but not all firms may face constrained demand and also proves that in the fully constrained case considered earlier the entire market will be served a seventh section considers a partially constrained case and the eighth section concludes ii spatial price discrimination and constrained demand spatial models have proven especially useful in capturing aspects of competition in horizontally differentiated markets as emphasized by tirole 1988 in particular they provide a general method for examining markets in which an ordered product characteristic differentiates output 1 among the more popular models is that of discriminatory pricing in which the price a firm is able to charge depends upon how close it is to its rivals thisse and vives 1988 show that such pricing is the preferred alternative when firms are able to adopt it lederer and hurter 1986 demonstrate that under such pricing rivals locate symmetrically along a linear market thus minimizing total transport costs early studies of merger in a model of spatial discrimination assumed that location choices do not anticipate the merger reitzes and levy 1995 show that such a merger increases the prices and profits of the participants but leaves those of all other firms unchanged gupta et al 1997 show that an anticipated horizontal merger alters the locations of spatially discriminating duopolists and increases transport cost thereby reducing efficiency rothschild et al 2000 confirm this finding in the case of two firms merging in a three firm market and also examine the effects of merger on the excluded rival

minimal and maximal product differentiation in hotelling s duopoly abstract hotelling s 1929 model of duopolistic competition is re examined a family of utility functions is used which has as a special case hotelling s original utility function in a two stage location price game it is shown that an equilibrium exists when the curvature of the utility functions in the space of characteristics is sufficiently high the subgame perfect equilibrium never exhibits minimum product differentiation on the other hand not all equilibria are at maximal product differentiation

are profit maximisers the best survivors a darwinian model of economic natural selection abstract this paper demonstrates that the friedman conjecture that profit maximisation summarises appropriately the conditions for firm survival is not generally true if firms have market power profit maximisers are not necessarily the best survivors because of the possibility of spiteful behaviour of the following kind say a firm forgoes profit maximisation and thus decreases its survival chances but its deviation from maximisation harms its profit maximising competitors more than itself though the firm will be less likely to survive than it would if it maximised its profits it will still be more likely to survive than its competitors

competitive positioning in markets with nonuniform preferences we investigate the nature of competitive equilibrium for brands competing in a multi attribute product space when consumer preferences for product attributes follow nonuniform distributions we establish subgame perfect equilibria in a two stage game where firms choose positions in the first stage and prices in the second stage two types of entry scenarios are investigated in the first the number of brands is given exogenously and all of them choose positions simultaneously in the second scenario firms enter in sequence and the early entrants can choose strategies to deter the entry of later entrants we find the equilibria for two three and four brands for consumer preferences that follow a beta distribution nonuniform distributions result in equilibrium configurations that are substantially different from those obtained for uniform consumer distributions in the two brands case for sufficiently concentrated distributions we find asymmetric position equilibria with one firm at the corner of the market and one firm at an interior position in the case of three brands for sufficiently concentrated preferences we find symmetric equilibria that do not yield maximal differentiation we also establish an equilibrium for the case of four competing brands in addition we characterize entry deterring positioning strategies and examine how they vary with the distribution of consumer preferences

the effects of product differentiation on collusive pricing abstract using the spatial competition framework of hotelling 1929 this paper explores the relationship between the degree of product differentiation and the ability of firms to collude with respect to price we show that the minimum discount factor required to support the joint profit maximum as an equilibrium outcome monotonically increases as products become better substitutes when the joint profit maximum cannot be supported the optimal collusive price is shown to decline as products become more substitutable these findings suggest that firms producing stronger substitutes tend to find it tougher to collude in terms of their product price

nash equilibrium in duopoly with products defined by two characteristics this article analyzes the analogue ofhotellingls duopoly model when products are dejned by two characteristics using the assumptions of the original model of hotelling we show that demand and projt functions are continuous for a wide class of utility functions when the utilityfunction is linear in the euclidean distance in the space of characteristics a noncooperative equilibrium in prices exists for all symmetric locations ofjirms this is in contrast to the result in the one characteristic model where a noncooperative equilibrium exists only when products are very diferent the noncooperative equilibria are calculated and fully characterized in contrast with the one dimensional model of hotelling where equilibrium prices were constant irrespective of distance of symmetric locations here equilibrium prices tend to zero as the distance between products approaches zero

perceptual position and competitive brand strategy in a two dimensional two brand market brand positioning and competitive reaction are important determinants of optimal brand strategy analyses of brand strategy have focused on optimal pricing and positioning issues using either empirical models of perceptions and preferences game theory to examine competition or both however the important issues of advertising and distribution strategy have not been fully addressed this paper analyzes competition and strategy between two brands that compete in a two dimensional market with advertising and distribution spending in addition to prices and product positions in particular for a unimodal taste distribution of ideal points we show how optimal competitive nash equilibrium marketing mix levels and profits depend on the positions of both brands brands can reposition to increase profit and under what conditions these strategies imply minimum versus maximum differentiation positioning equilibria and how the intensity of advertising and distribution competition affect equilibrium brand positions

downs meets d aspremont and company convergence versus differentiation in politics and the media abstract media firms have incentives to differentiate their news products to soften price competition when consumers value cognitive consistency between the news they read and the policies they support politicians are induced to propose more polarized policies to conform to a polarized media landscape a stronger commercial motive or a weaker preference for editorial neutrality in the media exacerbates this effect and causes party policies to become more extreme we find that prices for news products are higher when consumers have a demand for cognitive consistency despite the fact that maximal product differentiation does not hold for media firms