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.     

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.     

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.     

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.     

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.     

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.     

QUALITY AND WELFARE IN MIXED DUOPOLY: EFFECTS OF CAPACITY REDUCTION*

Under rationing of a public service due to its lower price and higher quality, the “privatization” could be regarded as a reduction in the capacity of the public service. We develop a model of mixed duopoly in which the service is vertically differentiated, a public firm is in a Stackelberg leader position, rationing happens, and the market is not covered. In one of two possible cases, it is shown that any reduction in the capacity of a public service will lower total surplus unless the price of the public service is too low and its quality is too high.     

A DYNAMIC ENTRY AND PRICE GAME WITH CAPACITY INDIVISIBILITY

Strategic market interaction is here modelled as a two‐stage game in which potential entrants choose capacities and next active firms compete in prices. Due to capital indivisibility, the capacity choice is made from a finite grid and there are economies of scale. In the simplest version of the model with a single production technique, the equilibrium turns out to depend on the ratio between the level of total output at the long‐run competitive equilibrium and the firm's minimum efficient scale: if that ratio is sufficiently large (the market is sufficiently ‘large’), then the competitive price emerges at a subgame‐perfect equilibrium of the capacity and price game; if not, then the firms randomize in prices on the equilibrium path. The role of the market size for the competitive outcome is shown to be even more important if there are several available production techniques.     

A NONCOOPERATIVE SHIPPING COURNOT DUOPOLY WITH LINEAR‐QUADRATIC TRANSPORT COSTS AND CIRCULAR SPACE*

The mixed strategy equilibria in a location quantity duopoly model with circular markets are investigated. We find that a continuum of equilibria exists when the transport cost function is linear. However, if costs are strictly concave or convex, most strategies fail to qualify as equilibria. For any integer n, there are nondegenerate mixed strategy equilibria in which each firm locates at n possible locations with equal probability. This result explains possible outcomes in which firms’ on‐path locations are not minimally or maximally differentiated.     

MIXED OWNERSHIP,MANAGERIAL INCENTIVES AND BANK COMPETITION

We consider deposit competition between two banks, where prior to competition one bank is subjected to a nationalization decision and the other bank chooses managerial incentives. The government who maximizes a modified form of social welfare (with greater weight on profit than depositor surplus) chooses only partial nationalization, which still hurts the rival private bank. But by offering deposit‐linked managerial incentives the private bank recovers its lost profit and induces even less nationalization, leaving social welfare unchanged. However, under interest rate competition for differentiated deposits the private bank offers profit‐linked managerial incentives while the other bank may be completely nationalized.     

EQUILIBRIUM SELECTION IN THE YANO MODEL OF PRICE LEADERSHIP

Abstract. A number of studies have provided a theoretical explanation for the fact that the technologically superior firm becomes a price leader in a duopoly market for a homogeneous product. While previous studies show that the state in which the technologically superior firm becomes a price leader is a Nash equilibrium (superior leader equilibrium), they do not eliminate the possibility that the state in which the technologically inferior firm becomes a price leader is also a Nash equilibrium (inferior leader equilibrium). We demonstrate that an inferior leader equilibrium can be eliminated by the iterative elimination of weakly dominated strategies.     

PARTIAL PRIVATIZATION IN A MIXED DUOPOLY WITH AN R&D RIVALRY

This paper is the first to examine the incentive for partial privatization in a mixed duopoly with R&D rivalry. We show that because mixed duopolies engage in more R&D, the optimal extent of privatization is unambiguously reduced. Yet, this reduction is often very modest. Adopting the extent of privatization that would be optimal if one ignored the R&D rivalry routinely results in greater welfare than retaining a fully public firm and ignoring partial privatization. Only when R&D has an extremely low cost would it be preferable to ignore partial privatization.     

WAGE BARGAINING AND MERGER INCENTIVES WITH ASYMMETRIC COSTS

This paper examines how wage bargaining within each firm influences the relationship between an equilibrium ownership structure and the most preferred ownership structure from the viewpoint of social welfare, in a unionized oligopoly of asymmetric firms with respect to productivity of capital. We consider the merger incentive of each firm’s owner when the wage level is determined through bargaining between the firm’s owner and union. We derive a condition for both the degree of cost asymmetry among existing firms and the relative bargaining power of each firm’s owner to her/his union such that each ownership structure can be observed in equilibrium. We also show that although the two types of ownership structures with the merger involving the least efficient firm can be equilibria and socially optimal, these structures are observed only when both the degree of cost asymmetry and the relative bargaining power of each firm’s owner are moderate. Finally, we analyse the relationship among the cooperative game approach employed in this paper and two non‐cooperative merger formation approaches, and examine the robustness of the results obtained in this paper against the change in the assumption regarding each firm’s cost function.     

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.     

ON THE PRICE EFFECTS OF HORIZONTAL MERGERS: A THEORETICAL INTERPRETATION

Horizontal mergers are usually under the scrutiny of antitrust authorities due to their potential undesirable effects on prices and consumer surplus. Ex‐post evidence, however, suggests that these effects do not always take place and even relevant mergers may end up having negligible price effects. The analysis of mergers in the context of non‐localized spatial competition may offer a further interpretation to the ones proposed in the literature: in this framework both positive and zero price effects are possible outcomes of the merger activity.     

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.     

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.     

ON THE SUSTAINABILITY OF COLLUSION IN A DIFFERENTIATED OLIGOPOLY WITH A CARTEL AND A FRINGE

We discuss the effects of the existence of non‐colluding (fringe) firms on cartel sustainability. We obtain, using trigger strategies, that with product differentiation collusion is always more easily sustained when firms compete in prices than when firms compete in quantities. This is true basically because (i) price competition is more intense than quantity competition, and (ii) fringe firms exacerbate the fact that cartel firms have more incentives to deviate from the agreement under quantity competition. This result reverses previous findings where, in the absence of fringe firms, product differentiation plays a crucial role in determining the effectiveness of price or quantity competition in sustaining collusion.     

STRATEGIC BUDGET CONSTRAINTS IN A UNIONIZED MIXED OLIGOPOLY

This paper considers the budget‐constraint problem where the government decides whether or not to impose a budget constraint on the public firm, assuming the public firm is less efficient than private firms. We find that imposing budget constraints on the public firm is the preferred choice because of the welfare‐improving effect. Our model suggests that the wage levels of the public firm can be lower or higher than those of private firms depending upon the degree of inefficiency. These results differ from Ishida and Matsushima's findings that in a unionized mixed duopoly, tight budget constraints can enhance social welfare when the public firm is as efficient as private firms.     

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.