Location choices and third‐degree spatial price discrimination

This paper studies how firms choose their product differentiation levels when they engage in third‐degree price discrimination in the following product market competition in a location‐price model. We show that firms will not choose to locate at the two endpoints if different consumer groups have similar sizes. Hence, the principle of maximum differentiation does not hold, resulting in a more intense product market price competition. Only if the size of one group of consumers is sufficiently larger than that of the other group, would firms make their products as differentiated as possible by choosing the two endpoints as their locations.     

Product Quality With Heterogeneous Consumers and Linear Pricing

This paper considers a linear‐pricing monopolist that conducts vertical product differentiation. Previous analyses consider customers who either have unit demand or firms who conduct nonlinear pricing. In this paper, customers’ opportunity cost of time generates a demand for quality. Customers differ in either their demand, income or taste for quality. Differences in income and taste for quality are sources of vertical differentiation. The presence of quality distortion and the variety that may exhibit it are dependent on the functional form of the customer types’ demand.     

Not everybody prefers organic food: unobserved heterogeneity in U.S. consumers’ preference for organic apple and milk

Despite organic food’s growing market share and the often-found premiums for organic foods in willingness-to-pay studies, the ultimate size of the organic food market remains unclear. Due to perceived taste, safety or appearance, some people may, in fact, not prefer organic. This study uses data from choice experiments to determine preference for organic versus conventional milk and apples. Using latent class and random parameter models, nontrivial shares (at least 33%) of consumers in both markets are not willing to pay a premium for organic. These results have implications for food marketers but also for economists modelling the organic food sector, which typically assume vertical differentiation.     

VERTICAL DIFFERENTIATION AND THE DISTRIBUTION OF INCOME

The paper analyses the effects of income concentration on the behaviour of a duopoly with vertical product differentiation and uncovered market. By using a trapezoid distribution, we solve explicitly for market equilibrium as a function of a mean preserving spread of the income distribution. We show that overall more concentrated incomes imply stronger product differentiation, as the presence of a large share of middle‐income consumers stimulates a price competition, whose effects are dampened through an enlargement of the quality spread. While the high‐quality advantage and market coverage increase unambiguously in the degree of income concentration, the behaviour of prices is non‐monotone in the distribution parameter.     

Emission Taxes and Product Differentiation in the Presence of Foreign Firms

Industries characterized by differentiated products are important contributors of greenhouse gases and currently subject to market‐based policies such as emission taxes. In the context of developing countries, fears about foreign investment leaving the country are often used as an argument not to address industry emissions through emission taxes. This paper develops a Cournot model with product differentiation in the presence of abatement efforts where host and foreign firms are subject to an emission tax. The analysis indicates that abatement efforts and differences in pollution intensity coefficients across firms may play a significant role in the characterization of optimal policy. The analysis also suggests that the government may opt to encourage foreign, less pollution‐intensive firms via higher taxation. Additionally, this paper examines how an optimal emission tax may be adjusted as products become more differentiated; industry emissions may fall/rise as a result of more differentiated products. One important contribution of this paper is that it emphasizes the role of abatement efforts, product differentiation, and differences in pollution intensity coefficients across firms in the characterization of the optimal emission tax.     

Conjectural Variations, Market Power, and Optimal Trade Policy in a Vertically Related Industry

The paper introduces the conjectural variations and bargaining approaches into a vertical model wherein a foreign upstream firm supplies one input to two downstream firms that produce differentiated products for the export market. Various downstream firms’ competition modes and upstream's pricing schemes emerge as special cases of this formulation. The authors show that the optimal export policy of a downstream country depends crucially on the downstream firms’ conjectures of rivals’ responses, the upstream firm's pricing schemes, their relative bargaining powers, and the degree of product differentiation. If the upstream's pricing or bargaining power is strong (weak) and if the downstream's degree of competition is high (low), a tax (subsidy) is optimal owing to a strong (weak) vertical profit‐shifting effect and a weak (strong) horizontal effect.     

ENTRY REGULATIONS,WELFARE, AND DETERMINANTS OF MARKET STRUCTURE

Welfare effects of entry regulations are theoretically ambiguous in differentiated product markets. We use a dynamic oligopoly model of entry and exit with store‐type differentiation and static price setting to evaluate how entry regulations affect long‐run profitability, market structure, and welfare. Based on unique data for all retail food stores in Sweden, we estimate demand, recover variable profits, and estimate entry costs and fixed costs by store type. Counterfactual policy experiments show that welfare increases when competition is enhanced by lower entry costs. Protecting small stores by imposing licensing fees on large stores is not welfare enhancing.     

International Trade Policy towards Monopoly and Oligopoly*

This paper highlights the importance of product differentiation and endogenous R&D in determining the optimal R&D policy, in a model where investment in cost‐reducing R&D is committed before firms compete in a differentiated‐goods third‐country export market. R&D is always taxed in oligopolies for high degrees of product differentiation. For lower degrees of product differentiation the duopoly is subsidized or the government remains inactive. In contrast, the monopoly is always subsidized. The government with a duopoly may be active or inactive depending on the degree of product differentiation. Thus, we may observe a reversal in the sign of the optimal R&D policy if the degree of product differentiation changes or, alternatively, if there is a change in the number of firms. Similar qualitative results hold if trade policy uses output subsidies, instead of R&D promotion.     

PRICE FLOORS AND QUALITY CHOICE

This paper studies effects of price floors in a simple model of vertical product differentiation. We find that even non‐binding price floor (i.e., minimum price set below the lowest Nash equilibrium price in the baseline model) can increase quality on the market, if the cost of quality is sufficiently low. Where a binding price floor does not increase the equilibrium quality, it makes consumers worse off. There is also a possibility of over‐investment into quality as a result of the binding minimum price.     

MONOPOLISTIC LOCATION CHOICE IN A TWO‐SIDED HOTELLING MODEL

We analyse the optimal location choice of a monopolistic firm that operates two arbitrarily located platforms on a two‐sided market. By extending the traditional Hotelling framework, we show that the optimal platform locations are equivalent to the one‐sided benchmark if both sides are either restricted to single‐ or multi‐homing. In the mixed case (one side single‐homes, the other one multi‐homes), the optimal platform locations are in line with the respective symmetric case. If the monopolist is restricted to choosing the same location on either side of the market, the optimal locations are determined by the relative profitability of the market sides.     

QUALITY DIFFERENTIATION,WELFARE, AND THE MODE OF COMPETITION IN A VERTICALLY DIFFERENTIATED PRODUCT MARKET: A NOTE*

We analyse the implications of quality differences in a vertically differentiated product market for social welfare by employing an endogenous quality choice model. We find that in of Bertrand and Cournot duopolies, the degree of quality differentiation at equilibrium in an unregulated market is larger or smaller, respectively, than that of the socially second‐best optimum. This implies that a reduction in quality difference, respectively, increases or decreases social welfare in the case of Bertrand or Cournot duopolies.     

TIME TO MARKET AND IMPATIENT CUSTOMERS

We analyse the decision of firms about when to launch their products on the market when they produce differentiated goods and compete on prices. We find two subgame perfect equilibria: one in which the high‐quality firm holds its leadership in quality, and another in which the low‐quality firm leapfrogs its rival. When the initial level of differentiation is high enough, the low‐quality firm always launches first. Finally, we extend this model to analyse commercial piracy. We obtain that pirates are highly unlikely to launch the illegal copy first because they would bear a higher penalty and a higher risk of being detected.     

The perverse effect of environmental regulation on emissions: The role of product-mix changes

We study the effect of environmental regulation (taxation) on emissions when the only available abatement method consists of product-mix changes. Firms choose to produce one or both varieties of a product—a pollution-intensive (dirty) and a non-pollution-intensive (green)—and compete in a differentiated Cournot duopoly. We characterize the equilibrium market structure as a function of the tax rate and show that increases in the tax can promote product-mix changes that lead to a jump in emissions for some tax range, an effect we call the perverse effect of taxation. Our work emphasizes the key role horizontal product differentiation in this process and shows that the perverse effect does not require the presence of vertical product differentiation. Further, the perverse effect of taxation is especially strong in the presence of incomplete regulation, that is, when only one of the markets is subject to taxation.     

Attracting the Rival’s Customers in a Model with Switching Costs

We consider the option of a firm’s honouring the rival’s coupons in a duopoly model in which products are differentiated by both characteristics and a switching cost. A firm may honour its rival’s coupons to increase its market share only if its previous market share is less than one‐half but not too low and, as a result, the market share is increased but only up to one‐half. JEL Classification Number: D13.     

HORIZONTAL MERGERS IN A DIFFERENTIATED COURNOT OLIGOPOLY

Using a standard differentiated goods quantity competition setting, we show three facts about horizontal two‐firm mergers that are not true for a homogeneous goods Cournot market. First, merger of two firms is profitable for the merging firms provided that goods are sufficiently distant substitutes. Second, merging of two firms can lead to more two‐firm mergers. Third, an initially non‐profitable two‐firm merger can occur in anticipation of subsequent mergers. These facts imply that mergers are more likely to occur in differentiated goods markets than in homogeneous goods markets.     

Income inequality and export prices across countries

This paper provides theory and evidence on the links between income inequality within a destination country and the patterns of trade and export prices. The theoretical framework relates income inequality to product quality and prices using a simple demand composition effect. The model predicts that a more unequal income distribution in a destination country leads to higher average prices, though the effect is nonlinear and disappears for rich enough countries. The predictions are tested using detailed firm‐level data. Controlling for income per capita, prices are systematically higher in more unequal destinations, and the strength of this effect depends on income per capita. Results are particularly important for middle‐income countries and hold only for differentiated goods, and in particular for products with a high degree of vertical differentiation.     

Process and Product Innovation: Complementarity in a Vertically Differentiated Monopoly with Discrete Consumer Types

This paper examines the complementarity between process and product innovation where process innovation reduces the marginal cost of quality. In the context of a vertically differentiated monopolistic market with discrete consumer types, we investigate how the nature of (fixed versus variable) innovation costs and the distribution of consumers over different types affect the complementarity between process and product innovation. We show that under variable innovation costs a process innovation is more likely to occur alone than both innovations together when taste diversity (or consumer heterogeneity) is not significant and/or when there are more low-type than high-type consumers.     

Quality Competition and Social Welfare in Markets with Partial Coverage: New Results*

We use a vertical product differentiation model under partial market coverage to study the social welfare optimum and duopoly equilibrium when convex costs of quality provision are either fixed or variable in terms of production. We show the following new results. First, under fixed costs, the social planner charges a uniform price for the single variant that just covers costs of quality provision. Like the duopoly equilibrium, this socially optimal pricing entails a partially uncovered market, but a smaller share of the market is served compared with the duopoly equilibrium. Second, for the variable cost case, it is socially optimal to provide both high‐ and low‐quality variants, but market shares need not be equal. This differs from the result in fully covered markets. Third, in the duopoly equilibrium, the quality spread is too wide under variable costs relative to the social optimum. Under fixed costs, the duopoly produces two variants, but quality is too low relative to the social optimum, which has only one variant.     

Competition and Privatisation Policies in a Differentiated Mixed Oligopoly: The Pay‐off‐interdependence Approach

I revisit the relationship between competition and privatisation policies in a mixed oligopoly with differentiated goods, following the pay‐off‐interdependence approach in the fashion of Matsumura and Okamura. We find that although the intensity of market competition increases with the degree of importance of each firm's relative performance, the optimal degree of privatisation can decrease in a differentiated goods mixed oligopoly in both the increasing marginal costs case and the constant marginal costs case. Further, given the degree of importance of each firm's relative performance and the number of private firms, we find that the optimal degree of privatisation can decrease as the degree of product differentiation declines. Finally, by considering an alternative‐pay‐off model in both cases, we compare the optimal degree of privatisation of the public firm.     

NESTING VERTICAL AND HORIZONTAL DIFFERENTIATION IN TWO‐SIDED MARKETS

We merge the two‐sided markets duopoly model of Armstrong (2006) with the nested vertical and horizontal differentiation model of Gabszewicz and Wauthy (2012), which consists of a linear city with different consumer densities on the left and on the right side of the city. In equilibrium, the high‐quality platform sells at a higher price and captures a greater market share than the low‐quality platform, despite the indifferent consumer being closer to the high‐quality platform. The difference between market shares is lower than socially optimal. A perturbation that introduces a negligible difference between the consumer density on the left and on the right side of the city may disrupt existence of equilibrium in the model of Armstrong (2006).