Mixed oligopoly and the choice of capacity

We analyze the capacity choice of firms under different time structures in a mixed oligopoly market, in which firms decide not only production quantities but also capacity scales. We show that the public firm never chooses excess capacity, while the private firm never chooses under capacity under all possible strategic environments.     

An analysis of entry-then-privatization model: welfare and policy implications

This study formulates a new model of mixed oligopolies in free entry markets. A state-owned public enterprise is established before the game, private enterprises enter the market, and then the government chooses the degree of privatization of the public enterprise (termed the entry-then-privatization model herein). We find that under general demand and cost functions, the timing of privatization does not affect consumer surplus or the output of each private firm, while it does affect the equilibrium degree of privatization, number of entering firms, and output of the public firm. The equilibrium degree of privatization is too high (low) for both domestic and world welfare if private firms are domestic (foreign).     

Endogenous timing game in a mixed duopoly with partial foreign ownership and asymmetric increasing marginal costs

This study examines a timing game in a mixed duopoly wherein public and private firms compete by taking account of the increasing marginal cost of both firms, as well as partial foreign ownership of the private firm. This study finds that if the private firm has a strong cost advantage over the public firm, public leadership is a risk dominant equilibrium irrespective of foreign ownership ratio. This result means that the cost difference between the public and private firms matters in selecting the risk-dominant equilibrium of the timing game. Additionally, if the private firm has only a weak cost advantage over the public firm, then private leadership (public leadership) is the risk dominant equilibrium if the foreign ownership ratio is (not) small.     

Does technology licensing matter for privatization?

In mixed oligopolies, technology licensing from a cost‐efficient firm to a cost‐inefficient firm has been widely observed. This paper examines the relationship between privatization and licensing (by public or private firms) with the consideration of either a domestic or a foreign private firm. We find that (a) in the case of a domestic private firm, public licensing facilitates privatization, but private licensing hinders privatization; (b) in the case of a foreign private firm, both public and private licensing facilitate privatization. Our results yield important policy implications on privatization.     

PRIVATISATION AND TIMING IN A MIXED OLIGOPOLY WITH BOTH FOREIGN AND DOMESTIC FIRMS*

This paper models a mixed oligopoly with both a domestic and a foreign private firm and examines the resulting timing in the quantity setting game. We demonstrate that with a single simultaneous pre‐game delay stage, the resulting endogenous timing has either the public firm leading or the two private firms leading. An alternative characterisation of the pre‐game stage results in the single timing in which the two private firms lead and the public firm follows. For all timings that emerge endogenously, we show that privatisation will always lower domestic welfare but its influence on global welfare is ambiguous.     

What role should public enterprises play in free-entry markets?

We investigate a desirable role of public enterprise in mixed oligopoly in free-entry markets. We compare the following three cases: (a) a public firm produces before private firms (public leadership), (b) all firms produce simultaneously (Cournot), (c) a public firm produces after private firms (private leadership). We find that private leadership is best and public leadership is worst, in contrast to the cases without entries and exits of private firms. We also investigate the welfare implication of privatization. We find that some important results shown by existing works do not hold under private leadership.     

Do cost efficiency gap and foreign competitors matter concerning optimal privatization policy at the free entry market?

In this paper, we demonstrate that in contrast to the case with exogenous number of foreign private firms, partial privatization is always the best policy for the public firm in long-run equilibrium, which casts doubt on the robust result in Matsumura and Kanda (J Econ 84(1):27–48, 2005) who argued that welfare-maximizing behavior by the public firm is always optimal in mixed markets. Critical cost gap determines that long-run degree of privatization is larger than the short-run one. In particular, regarding the scenario wherein one public firm competes with domestic private firms and foreign private firms, equilibrium price is lower than marginal cost of public firm instead of being equivalent to marginal cost of the public firm, and that public firm’s outputs, profit, and social welfare is the smallest in the concerned mixed oligopoly models.     

Optimal privatization and uniform subsidy policies: A note

The privatization neutrality theorem states that the share of public ownership in a firm does not affect welfare under an optimal uniform tax‐subsidy policy. We revisit this neutrality result. First, we investigate the case in which the private firm is domestic. We show that this neutrality result does not hold unless public and private firms have the same cost function. Next, we investigate a case in which both domestic and foreign investors own the private firm. We show that the optimal degree of privatization is never zero, and thus, the neutrality result does not hold, even when there is no cost difference between public and private firms.     

Endogenous timing in a mixed oligopoly with semipublic firms

An endogenous order of moves is analyzed in a mixed market where a firm jointly owned by the public sector and private domestic shareholders (a semipublic firm) competes with n private firms. We show that there is an equilibrium in which firms take production decisions simultaneously. This result is strikingly different from that obtained by Pal (Econ Lett 61:181–185, 1998), who shows that when a public firm competes with n private firms all firms producing simultaneously in the same period cannot be sustained as a Subgame Perfect Nash Equilibrium outcome. Our result differs from that of Pal (Econ Lett 61:181–185, 1998) for two reasons: firstly, we consider that there is a semipublic firm rather than a public firm. Secondly, Pal (Econ Lett 61:181–185, 1998) considers that the public firm is less efficient than private firms while in our paper all firms are equally efficient.     

Privatization when the public firm is as efficient as private firms

The literature on mixed oligopoly shows that when production costs are quadratic the public firm is privatized if the competition in the product market is high enough. Similarly, when the public firm is less efficient than private firms and the marginal costs of production are constant, the government privatizes the public firm if its efficiency is low enough. In this paper we analyze this issue assuming that the public firm maximizes the weighted sum of consumer surplus, private profit and the profit of the public firm. If all firms have the same marginal cost of production we obtain that for some value of parameters the government does not privatize the public firm regardless of how many private firms are competing in the product market. We also obtain that the consumer surplus can be lower in the mixed oligopoly than in the private oligopoly.     

Lack of commitment to future privatization policies may lead to worst welfare outcome

We investigate the welfare consequences of a lack of commitment to future privatization policies. The government implements a privatization policy after the competition structure is determined by the entry of private firms. We find that in an equilibrium, the government fully privatizes (nationalizes) a public firm if private firms expect that the government fully privatizes (nationalizes) the public firm. This is because an increase in the number of firms entering a market increases the government's incentive to privatize the public firm, which mitigates future competition and stimulates entries. The full-privatization equilibrium is the worst privatization policy among all possible (either equilibrium or non-equilibrium) privatization policies for welfare because it causes excessive market entry of private firms. Partial commitment of a minimal public ownership share may mitigate this problem.     

Endogenous Choice of Strategic Contracts in a Mixed Duopoly with Bargaining Over Managerial Delegation Contracts

We revisit the endogenous choice problem of strategic contracts for the public firm and the private firm in a managerial mixed duopoly with differentiated goods. We consider the situation wherein the managerial delegation contracts are determined by maximising social welfare within the public firm, which is equal to the objective function of its owner, and through bargaining over the content of managerial delegation contracts between the owner and manager within the private firm. We show that, in equilibrium, when the manager of the private firm has high bargaining power relative to that of the owner, the public firm chooses a price contract, while the private firm chooses a quantity contract. However, there is no equilibrium market structure under the pure strategic contract class when the manager has sufficiently low bargaining power relative to that of the owner.     

R&D competition between public and private sectors

We investigate a mixed market where a welfare-maximizing public research institute competes against profit-maximizing private firms. We investigate R&D competition by using a standard model of patent races where each firm chooses both its innovation size and R&D expenditure. We find that the innovation size (R&D expenditure) chosen by the public institute is too small (too large) from the viewpoint of social welfare, respectively, and so the government should control the public institute appropriately. We also discuss the welfare implications of privatization of public research institutes.     

Mixed Oligopoly at Free Entry Markets

We investigate the optimal behavior of a public firm in a mixed market involving private firms and one public firm. Existing works show that welfare-maximizing behavior by the public firm is suboptimal when the number of firms is given exogenously. We allow free entry of private firms and find that, in contrast to the case with the fixed number of firms, welfare-maximizing behavior by the public firm is always optimal in mixed markets. Furthermore, we find that mixed markets are better than pure markets involving no public firm if and only if the public firm earns nonnegative profits.     

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.     

The Optimal Privatization Policies under an International Mixed Duopoly

This paper explores the socially optimal privatization policies under the setting of international mixed duopoly. We find that partial privatization is socially optimal under Cournot competition and private leadership competition, whereas full nationalization is socially optimal under public leadership competition. Moreover, the equilibrium social welfare under private leadership competition is higher than that observed under Cournot competition and that observed under private leadership competition, which differs from the findings of Matsumura ( 2003b ). We also show that the endogenous timing game has a subgame perfect Nash equilibrium outcome, under which the government chooses a partial privatization policy, and private leadership competition emerges as the optimal output decision sequence of firms. An important policy implication from this paper is that the government should partially privatize the public firm and facilitate the emergence of private leadership competition in an international mixed market.     

Stable market structures from merger activities in mixed oligopoly with asymmetric costs

This paper examines endogenous merger formations in a mixed oligopoly. Applying the core as a solution concept, we analyze which market structure(s) remain(s) stable when three firms—two symmetric private firms and one inefficient public firm—are allowed to merge with each other in a mixed Cournot industry. We show that according to the value of the marginal cost of the public firm, there always exists a pair of share ratios of the owners of both the (pre-merged) public firm and the (pre-merged) private firm such that the market structure with the merger between the public firm and one private firm belongs to the core. When the initial market structure is a mixed triopoly, it can only be blocked when one public firm and one private firm merge. Furthermore, we conduct a similar analysis in a general mixed oligopoly with one public firm and n private firms.      

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.     

Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly

This paper considers a differentiated goods managerial mixed duopoly composed of one social welfare‐maximising public firm and one profit‐maximising private firm. We model the firm choice of the strategic contract. We find that when the strength of network effects is sufficiently strong, the price competition can become the unique equilibrium market structure. Furthermore, we show that there exists an area of the degree of product differentiation and the strength of network effects such that the situation wherein the public firm chooses its price contract whereas the private firm chooses its quantity contract can become the unique equilibrium structure.     

The tax advantage of public firms over private firms in the German household solid waste disposal industry

We measure the tax advantage of public firms over private firms, which operate at municipality level in the German household solid waste disposal industry. Public firms with sovereign duties pay no taxes, but equivalent private firms have to. In a simple risk-free setting, we develop a measure of the percentage difference of the charges of both types of firms demanded under their respective tax treatments. We model a cost-covering public firm and a net present value maximizing private firm. For sensible model parameters from the German waste disposal industry the private firm has to demand an about 16% to 18% higher charge. The by far biggest impact on the measure has the value added tax, with revenues as a much larger tax base than profits. Tax savings, which directly affect pre-tax profits, only alleviate the disadvantage bit. There is some evidence that at least one type of private firms—that is, private law firms that are also majority privately owned, are productive enough to overcome the tax advantage of public firms and be able to charge a lower price than public firms.