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.     

THE EXISTENCE OF EQUILIBRIUM IN A DIFFERENTIATED DUOPOLY WITH NETWORK EXTERNALITIES*

The existence of a pure‐strategy subgame‐perfect equilibrium in qualities and prices is investigated in a duopoly model of vertical differentiation where quality improvements require a quadratic variable cost and network externalities operate. We show that there exists a parameter region where the incentive to predate at the quality stage prevents firms from reaching a pure‐strategy non‐cooperative equilibrium with prices above marginal costs. If network externalities are sufficiently large, a Bertrand equilibrium with zero profits may arise, although the amount of product differentiation is strictly positive.     

Quasi-Competitive Cournot Oligopoly with Product Differentiation and Symmetric Firms

Since Vives (1984 ), Cheng (1985 ) and Okuguchi (1987 ), the equilibria in Bertrand and Cournot oligopolies with product differentiation have been known to differ. Okuguchi (2005 ) has shown that Bertrand price‐adjusting oligopoly with product differentiation and symmetric firms is quasi‐competitive but not perfectly competitive in the limit state of infinite number of firms. This paper formulates and analyzes two types of Cournot output‐adjusting oligopoly with product differentiation and symmetric firms, in one of which symmetric firms producing the same goods are assumed to collude, and in the other, collusion is ruled out. The limit states are shown to be different in two oligopolies but they are both quasi‐competitive.     

Optimal Trade Policy with Horizontal Differentiation and Asymmetric Costs

This paper examines the optimal export policy under Bertrand competition when the products exhibit horizontal differentiation and production costs are asymmetric. The focus of this paper is on the product‐differentiation effect in the determination of the optimal export policy. We show that given that the equilibrium characteristic of a foreign firm's product R&D lies to the left‐hand side of its initial level , since the foreign firm has a unit cost advantage and the efficiency of its R&D technology is sufficiently low, a rise in the export subsidy of the domestic country increases a domestic firm's profits and then welfare by extending the degree of horizontal differentiation between the two products. Thus, the optimal export policy under Bertrand competition may turn out to be an export subsidy rather than an export tax. This result is in sharp contrast to that of Eaton and Grossman (1986 ).     

International Technology Transfer and Welfare

We investigate the welfare effect of international technology transfer in a quality model. A foreign innovator with a new quality product can license its innovation to the domestic firm(s) via a fixed fee. Findings show that the foreign innovator will license exclusively to the high‐quality firm under Bertrand competition, whereas it may exclusively license to the high‐quality firm, the low‐quality firm, or non‐exclusively to both firms under Cournot competition. Non‐exclusive licensing is necessarily welfare‐enhancing whereas exclusive licensing is welfare‐reducing if the quality of the new technology is not sufficiently superior to that of the domestic ones.     

Robustness to strategic uncertainty

We introduce a criterion for robustness to strategic uncertainty in games with continuum strategy sets. We model a player's uncertainty about another player's strategy as an atomless probability distribution over that player's strategy set. We call a strategy profile robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence of strategy profiles in which every player's strategy is optimal under his or her uncertainty about the others. When payoff functions are continuous we show that our criterion is a refinement of Nash equilibrium and we also give sufficient conditions for existence of a robust strategy profile. In addition, we apply the criterion to Bertrand games with convex costs, a class of games with discontinuous payoff functions and a continuum of Nash equilibria. We show that it then selects a unique Nash equilibrium, in agreement with some recent experimental findings.     

Licensing under vertical product differentiation: Price vs. quantity competition

This paper develops a duopoly model of vertical product differentiation where two domestic firms incur variable costs of quality development. These domestic firms can purchase a superior foreign technology through licensing. Outcomes between Bertrand and Cournot competition are compared. We find that licensing raises domestic welfare, and domestic welfare is higher in Bertrand than in Cournot competition regardless of whether or not domestic firms engage in licensing. Non-exclusive licensing is also found to benefit the domestic country more than exclusive licensing.     

EXPORT SUBSIDIES, COST DIFFERENTIAL AND PRODUCT QUALITY

This paper presents a vertical product differentiation model to examine the relationship between optimal trade policies and product qualities for different export countries under Cournot quantity competition as well as Bertrand price competition. We can also use this quality model to explain why Japan as a high production-cost country may have incentives to offer high subsidies. This is a case that cannot be explained by the strategic trade theory models à la Brander and Spencer (1985) or Eaton and Grossman (1986).     

Incentives for sabotage in vertically related industries

We show that the incentives of a vertically integrated supplier to “sabotage” the activities of downstream rivals can vary with both the type of sabotage and the nature of downstream competition. Cost-increasing sabotage is typically profitable under both Cournot and Bertrand competition. In contrast, demand-reducing sabotage is often profitable under Cournot competition, but unprofitable under Bertrand competition. Incentives for sabotage can vary non-monotonically with the degree of product differentiation.      

On the role of network externalities in strategic delegation contracts with an industry-wide union

This article analyses the role of network externalities in managerial delegation contracts for differentiated products when the marginal product costs (the wage) are set by an industry-wide union. The results show that, in both Bertrand and Cournot equilibria, each owner offers a profit-oriented incentive scheme to his or her managers by penalizing sales maximization, irrespective of the strength of the network externalities. In the presence of weak network externalities and low product differentiation, firms can obtain higher profits in the equilibrium under Cournot-type quantity competition compared with that under Bertrand-type price competition. Furthermore, the wage chosen by the union is higher in the Cournot than in the Bertrand equilibrium. In the Cournot equilibrium, the wage increases with the strength of the network externalities. However, in the Bertrand equilibrium, there exists a threshold level of the degree of product differentiation.     

OPTIMAL POLICY FOR PRODUCT R&D WITH ENDOGENOUS QUALITY ORDERING: ASYMMETRIC DUOPOLY*

We examine the optimal R&D subsidy/tax policy under a vertically differentiated duopoly. In a significant departure from the existing work, we consider the case of asymmetric costs of product R&D where there is a small technology gap between firms. In our analysis, the endogeneity of quality ordering is explicitly taken into account. We demonstrate the possible anti‐leapfrogging effect of R&D subsidy/tax policy. By committing to a firm‐specific subsidy schedule contingent on firms’ quality choices, the government can not only correct distortions in product quality but also select the socially preferred equilibrium. The latter role is fulfilled by preventing the technologically inferior firm from becoming a quality leader in the industry. Both Bertrand and Cournot cases are analysed.     

OPTIMUM-WELFARE AND MAXIMUM-REVENUE TARIFFS UNDER BERTRAND DUOPOLY

This article derives the maximum‐revenue tariff and the optimum‐welfare tariff under Bertrand duopoly with differentiated products. It is shown that both tariffs are lower under Bertrand duopoly than under Cournot duopoly. Also, the optimum‐welfare tariff may exceed the maximum‐revenue tariff under both Bertrand duopoly and Cournot duopoly. This result is more likely the lower the costs of the home firm relative to the costs of the foreign firm, and the greater the degree of product substitutability. Also, it is shown that the optimum‐welfare tariff is less likely to exceed the maximum‐revenue tariff under Bertrand duopoly than under Cournot duopoly.     

POLITICAL ECONOMY OF STRATEGIC EXPORT POLICY IN A DIFFERENTIATED DUOPOLY*

This paper investigates the effect of a home firm's lobbying on a strategic export policy in a third market with a differentiated duopoly. We focus on its effect on domestic welfare under Bertrand and Cournot competition. Regardless of the mode of competition, the strategic export policy cannot improve domestic welfare in the presence of lobbying if the degree of product differentiation is high or the government is overly concerned with political contribution relative to domestic welfare. Moreover, for the same degree of product differentiation, the lobbying‐induced export policy is more likely to deteriorate domestic welfare relative to free trade under Cournot competition.     

STRATEGIC EXPORT POLICY IN VERTICALLY RELATED MARKETS

This paper analyses how strategic export policies are affected by introducing an imperfectly competitive intermediate good into a Bertrand duopoly model with product differentiation, where a home and a foreign final‐good firm export to a third‐country market. It is shown that when the home and foreign markets for the intermediate good are segmented, the optimal export policy towards the final good is a tax. In contrast, under integrated markets, the optimal export intervention is a subsidy. Whether bilateral export intervention is welfare improving compared with free trade, depends on the degree of product differentiation between the home and foreign final goods.     

Uniform Versus Discriminatory Tariffs

We analyze the non‐cooperative interaction between two exporting countries producing differentiated products and one importing country when governments use optimal policies to maximize welfare. The analysis includes product differentiation, asymmetric costs, and Bertrand competition. For identical exporting countries we demonstrate that the importing country always prefers a uniform tariff regime while both exporting countries prefer a discriminatory tariff regime for any degree of product differentiation. If countries are asymmetric in terms of production cost then the higher‐cost exporter always prefers the discriminatory regime but the lower‐cost exporter prefers the uniform regime if there is a significant cost differential. With cost asymmetry the announcement of a uniform tariff regime by the importer is not a credible strategy since there is an incentive to deviate to discrimination. This implies an international body can play a role in ensuring that tariff agreements are respected.     

Reciprocal Dumping with Product Differentiation*

This paper examines if international trade can reduce total welfare in an international oligopoly with differentiated goods. We show that intra‐industry trade, i.e. “reciprocal dumping,” can result in lower total surplus than autarky in a Cournot model for any degree of product differentiation. Moreover, trade can reduce welfare compared to autarky in a Bertrand model when the local markets are sufficiently competitive and products are sufficiently close substitutes. Otherwise it unambiguously increases welfare.     

Foreign market entry,upstream market power,and endogenous mode of downstream competition

In a differentiated duopoly model of trade and FDI featuring both horizontal and vertical product differentiation, we examine whether globalization and trade policy measures can generate welfare gains by leading firms to change their mode of competition. We show that when a high-quality foreign variety is manufactured under large frictions due to upstream monopoly power, a foreign firm can become a Bertrand competitor against a Cournot local rival in equilibrium, especially when the relative product quality of the foreign variety is sufficiently high and trade costs are sufficiently low (implying higher input price distortions due to double marginalization). Our results suggest that such strategic asymmetry is welfare improving and that the availability of FDI as an alternative to trade can make welfare-enhancing strategic asymmetry even more likely, especially when both input trade costs and fixed investment costs are sufficiently low and trade costs in final goods are sufficiently large.     

Profits and competition under alternative technologies in a unionized duopoly with product differentiation

This paper aims at investigating if the conventional wisdom (i.e. an increase of competition linked to a decrease in the degree of product differentiation always reduces firms׳ profits) can be reversed in a unionized duopoly model. We show that a decrease in the degree of product differentiation may affect wages, hence profits, differently, depending on both the firms׳ production technology and the mode of competition in the product market. Specifically, under constant returns to labour, the “reversal result” can apply under both Cournot and Bertrand competition, but it is more likely when firms compete in quantities. By contrast, under decreasing returns, profits can increase with competition but only if firms compete in prices.     

On the Cournot–Bertrand Profit Differential and the Structure of Unionisation in a Managerial Duopoly

This paper deals with the issue of the Cournot–Bertrand profit differential by bringing together two different strands of the industrial organisation literature: managerial delegation and unionised oligopolies. Relative to unionisation, two alternative regimes are analysed and compared: ‘decentralised unionisation’, involving firm‐specific unions, and ‘centralised unionisation’, in which an industry‐wide union sets a uniform wage for the entire industry. The ‘reversal result’ – that is, profits are higher under Bertrand than under Cournot – applies irrespective of the unionisation regime and for a very wide range of product differentiation. Moreover, it is more likely to occur when unionisation is decentralised than centralised and, especially when products are not too much differentiated, the profit differential in favour of price competition is also larger in the presence of firm‐specific unions. However, if firm owners not only delegate the choice of the strategic variable but also that of the competition regime, managers always opt to compete in quantities, thus generating an inefficient choice for owners.     

Do minimum quality standards bite in polluting industries?

We investigate the introduction of a minimum quality standard in a vertically differentiated duopoly where production is polluting. We examine the alternative frameworks with quality-dependent fixed or variable costs, under both price and quantity competition. Under Bertrand behaviour, the introduction of a binding MQS regulation reduces product differentiation, which causes an increase in the output and pollution. Hence its adoption must rely on the increase in consumer surplus generated by the increase in output and average quality. Conversely, in the Cournot setting, a binding MQS decreases output and pollution, and its adoption is driven by the fact that the balance between these effects and the associated increase in average quality yields a welfare improvement.