ENDOGENOUS TIMING IN A MIXED DUOPOLY: WEIGHTED WELFARE AND PRICE COMPETITION*

In this paper we analyse the endogenous order of moves in a mixed duopoly for differentiated goods. Firms choose whether to set prices sequentially or simultaneously. The private firm maximises profits while the public firm maximises the weighted sum of the consumer and producer surpluses (weighted welfare). It is shown that the result obtained in equilibrium depends crucially on the weight given to the consumer surplus in weighted welfare and on the degree to which goods are substitutes or complements. We also analyse whether the equilibria obtained maximise the sum of the consumer and producer surpluses or not. Finally we study whether the nationality of the private firm influences the results.     

COMPETITION,REGULATION AND WELFARE IN THE PRESENCE OF NETWORK EXTERNALITIES*

In this paper we consider a simple model of an industry with network externalities, where a benefit to each consumer from network services depends on the size of the network. We first consider a single network and cover the cases with and without fixed cost of entry. We then turn to the two‐network industry, where the incumbent network and a new entrant network compete for the market and may differ both in their marginal costs and demand structures. In addition, we identify several situations where public policy may play a crucial role in sustaining socially advantageous network service provision.     

ENDOGENOUS TIMING IN A MIXED DUOPOLY WITH ENDOGENOUS VERTICAL DIFFERENTIATION

We consider a game of endogenous timing with observable delay in a mixed duopoly with endogenous vertical differentiation in the context of sequential quality and price choice. We find that a simultaneous play in the first opportunity at each stage turns out to be the unique subgame perfect Nash equilibrium, which contrasts with the endogenous timing in a purely private duopoly.     

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.     

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.     

PRICE AND QUANTITY COMPETITION WITH ASYMMETRIC COSTS IN A MIXED DUOPOLY: A TECHNICAL NOTE

We consider a mixed duopoly in which private and public firms can choose to strategically set prices or quantities when the public firm is less efficient than the private firm. Thus, even with cost asymmetry, we obtain exactly the same result (i.e., Bertrand competition) of Matsumura and Ogawa (2012) if Singh and Vives’ (1984) assumption of positive primary outputs holds. However, compared to endogenous determination of the type of contract without cost asymmetry, our main finding is that in the wider range of cost asymmetry, different type(s) of equilibrium related to or not related to the limit‐pricing strategy of the private firm can be sustained. Thus, when considering an implication on privatization, we may overestimate the welfare gain of privatization because Cournot competition takes place after privatization even though cost asymmetry exists between firms. While the result of Matsumura and Ogawa (2012) holds true if the goods are complements, we find the novel results in the case of substitutes.     

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.     

THE EFFICIENCY OF THE STATE‐OWNED FIRM AND SOCIAL WELFARE: A NOTE

We consider a mixed market where a state‐owned firm competes with private firms. If the number of firms is exogenous, then a deterioration of the efficiency of the state‐owned firm might improve social welfare. This situation occurs when the state‐owned firm is inefficient and private firms are efficient. However, if the number of firms is endogenous, then a deterioration of the efficiency of the state‐owned firm must reduce social welfare.     

TARIFF POLICY AND WELFARE IN AN INTERNATIONAL DUOPOLY WITH CONSUMER‐FRIENDLY INITIATIVE

The purpose of this paper is to explore how strategic tariff policy and welfare are affected by the consumer‐friendly initiative of foreign exporting firms. We define a firm that is consumer‐friendly or non‐profit‐based if it considers both its own profit and consumer surplus. This paper extends Brander and Spencer by taking the consideration of consumer‐friendly firms into an international duopoly, and within such context examining the tariff policy and welfare. The consumer‐friendly initiative that leads to trade liberalization is a ‘Win‐Win‐Win’ solution in the sense that it is not only beneficial for foreign exporting firms, but also for the government and consumers of the importing country.     

WELFARE ENHANCING COORDINATION IN CONSUMER COOPERATIVES UNDER MIXED OLIGOPOLY

The recent globalization of world economies has led the retail markets of developed countries towards increasing levels of integration and strategic interdependence. A non negligible share of retail and food markets is currently served by co‐operative societies. Consistently with this trend, the consumer cooperatives have recently experienced increasing levels of integration. The main aim of this paper is to study the welfare effects of coordination among consumer cooperatives competing in quantities in a mixed oligopoly against profit‐maximizing firms. We show that, in absence of agency problems, under increasing or constant returns to scale a higher output coordination of the consumer cooperatives does not affect the total welfare as long as a nonnegative profit constraint holds in these firms. On the other hand, under decreasing returns to scale, the consumer cooperatives contribute more to social welfare when acting on behalf of all consumers. This is because, by coordinating consumers’ preferences, these firms can reduce their market output, thus helping the market to come closer to the first best. All together these results seem to provide an argument in favour of the recent process of integration involving consumer cooperatives in many developed countries.     

DUOPOLY IN THE JAPANESE AIRLINE MARKET: BAYESIAN ESTIMATION FOR THE ENTRY GAME*

This paper provides an econometric analysis of a duopoly game in the Japanese domestic airline market. We establish a novel Bayesian estimation approach for the entry game, which allows the incorporation of flexible inference techniques. We find asymmetric strategic interactions between Japanese firms. This result implies that competition is still influenced by the former regulation regime. Furthermore, our prediction analysis indicates that the new Shizuoka airport will suffer from a lack of demand in the future.     

PRIVATIZATION AND EFFICIENCY GAIN IN AN INTERNATIONAL MIXED OLIGOPOLY WITH ASYMMETRIC COSTS*

This paper examines two policy instruments, privatization of the domestic public firm and imposition of a tariff on foreign private firms in an international mixed oligopolistic model with asymmetric costs. It first demonstrates that different orders of moves of firms will imply different government decisions on optimal tariff and on privatization policy. Following Hamilton and Slutsky (1990 ), this paper then uses an extended game to discuss endogenous roles. It indicates that the efficiency gain that highlights the importance of foreign competition is crucial in determining the welfare improving privatization policy. Moreover, the endogenous equilibria are associated with different government decisions on privatization.     

PRICE AND QUANTITY COMPETITION IN A UNIONISED MIXED DUOPOLY: THE CASES OF SUBSTITUTES AND COMPLEMENTS*

We investigate a differentiated mixed duopoly in which private and public firms can choose to strategically set prices or quantities when unions are present. For the case of a unionised mixed duopoly, there exists a dominant strategy only for the public firm that chooses Bertrand competition irrespective of whether the goods are substitutes or complements; there is no dominant strategy for a private firm. Thus, we show that regardless of the nature of goods, social welfare under Bertrand competition is always determined in equilibrium, wherein Bertrand competition entails higher social welfare than Cournot competition. Moreover, our main results hold irrespective of the nature of goods, with the exception that when a sufficiently large parameter of complements is employed, the ranking of a private firm's profit is not reversed, which is in contrast to the standard findings.     

DOMESTIC COMPETITION POLICY AND TARIFF POLICY COMPARED*

M. Yano and F. Dei have demonstrated that, by controlling the degree of competition in a non‐tradables market (competition policy), a country can influence the terms of trade so as to increase its welfare, relative to free trade. Using their model, this study compares the extent of this effect with that of a tariff policy. It demonstrates that a competition policy can achieve a higher utility than a tariff policy if tariff rates are at levels currently tolerated in the real world. This demonstrates that domestic competition policy may play an important role as a substitute for tariff policy.     

A MODEL OF ENDOGENOUS PAYOFF MOTIVES AND ENDOGENOUS TIMING IN A MIXED DUOPOLY*

A model of endogenous payoff motives and endogenous order of moves is analysed in a mixed duopoly. We find that, when a non‐negative price constraint is imposed on public and private firms' quantity choice, both firms always choose to be relative‐payoff‐maximisers, and both simultaneous move and sequential move can be sustained in equilibrium. In contrast, when non‐negative absolute profit constraint is imposed, public and private firms always choose to be absolute‐payoff‐maximisers, and only sequential move can be sustained in equilibrium.     

GROWTH AND WELFARE EFFECTS OF AN ENVIRONMENTAL TAX‐BASED PUBLIC PENSION REFORM*

This paper presents an overlapping generations model in which: (i) firms create emissions as by‐products of production; and (ii) tax revenue from the working young is transferred to the retired elderly as pay‐as‐you‐go pension benefits. The paper focuses on a replacement ratio, which measures the proportion of after tax work earnings replaced by the public pension, and considers a replacement ratio neutral reform in which the newly introduced environmental tax is devoted to cutting the social security tax, keeping the replacement ratio unchanged. It is shown that the reform may improve growth, environmental quality and the nonenvironmental utility of every generation.     

MARKET‐DEMAND BOOSTING AND PRIVATIZATION IN A MIXED DUOPOLY

This study incorporates demand‐boosting strategies into a mixed duopoly model in order to consider the endogenous determination of market demand. The results indicate equilibrium characteristics that differ from those found under an exogenous demand setting. As consumers become more sensitive to the demand‐boosting strategies of firms, the government must choose a lower level of privatization. This suggests that the responsiveness of consumer demand to the demand‐boosting strategies of firms constitutes a limiting factor for privatization.     

Mixed oligopoly and spatial agglomeration: a comment

Abstract.  This paper extends Matsushima and Matsumura (2003) by incorporating a large production cost difference between public and private firms in a quantity setting spatial mixed oligopoly. The public and private firms first choose their locations in a linear market and then compete in quantities. It is shown that for a significant inefficiency of the public firm, all firms (including both public and private firms) agglomerate at the market centre.     

THE DECISION TO HIRE MANAGERS IN MIXED MARKETS UNDER BERTRAND COMPETITION*

This paper analyses the decisions of firms as to whether or not to hire managers when there is a public firm competing with a private firm in the product market. It is shown that under Bertrand competition with heterogeneous goods both firms hire managers. This is in contrast with the result obtained under Cournot competition, where only the private firm hires a manager. Moreover, welfare is lower if both firms hire managers than if neither firm does. In contrast, under Cournot competition welfare is greater if both firms hire managers.     

SPILLOVER EFFECTS OF ECONOMIC INTEGRATION IN A THREE‐COUNTRY MODEL*

Using a simple monopoly model, we examine the effects of economic integration. We show that the number of markets and the shapes of marginal revenue curves, are crucial in evaluating economic integration when the marginal cost is not constant. The effects of tariff reductions in a three‐country model contrast with those found in a two‐country model. Effects also depend on which trade policy the non‐member country adopts. When both importing countries simultaneously lower their tariffs, the Metzler paradox may arise.