Vertical product differentiation under demand uncertainty

In this paper, I examine a quality-then-price game in a fully covered market where firms are uncertain about consumer tastes regarding quality. The equilibrium is characterized under the fixed costs and variable costs of quality improvement, respectively. It is shown that the uncertainty is a differentiation force, and the quality differentiation increases more under variable costs than under fixed costs. In addition, an increase in uncertainty leads to higher profits and higher social welfare regardless of whether under fixed or variable costs. This result contrasts with the lower welfare in the Hotelling model with uncertainty. Finally, an analysis of the case of partial market coverage with uncertainty completes this paper.     

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.     

Market Provision of Broadcasting: A Welfare Analysis

This paper presents a theory of the market provision of broadcasting and uses it to address the nature of market failure in the industry. Equilibrium advertising levels may be too low or too high, depending on the nuisance cost to viewers, the substitutability of programmes, and the expected benefits to advertisers from contacting viewers. The equilibrium amount of programming may also be below or above the socially optimal level. Perhaps surprisingly, the ability to price programming may reduce social surplus, while monopoly ownership may increase it.     

Vertical product differentiation and entry deterrence

I study how a potential entrant influences quality in a model of vertical product differentiation with quality-dependent production costs. With identical costs, the incumbent will always deter entry if possible, i.e., if fixed costs are high. Quality will be set at a level lower than or equal to the optimal quality under either duopoly or monopoly. Results are completely different when the entrant has substantially lower costs. They are explained by the relative location of the entrant's quality best response to the incumbent's optimal quality choice in monopoly. This sheds new light on the influence of industrial policy on market conduct.     

Profit sharing as entry deterrence mechanism

In a right-to-manage framework, this paper analyzes the optimal choice of the pay scheme (profit sharing vs. fixed wage) in a unionized duopoly with potential market entry and decentralized bargaining. The paper shows that, depending on the institutional features, both pay systems can arise as equilibria in Nash strategies. Under duopoly with committed bargaining, the fixed wage is the Nash equilibrium; with flexible bargaining, an agreement between the incumbent firm and its union about profit sharing arises as Nash equilibrium, if the union is not too strong. A monopoly with threat of entry reinforces the selection of profit sharing as a deterrent mechanism.     

Socially responsible firms and endogenous choice of strategic incentives

In this paper we are analyzing a mixed quantity-setting duopoly consisting of a socially concerned firm and a profit-maximizing firm. The socially concerned firm considers one group of stakeholders in its objective function and maximizes its profit plus a share of consumer surplus. Both firms have the option to hire a manager who determines the production quantity on behalf of the firm's owner. We find that in the subgame-perfect equilibrium of this game both firms hire a manager and delegate the production choice. If the unit production costs of the firms are similar, then the socially concerned firm has a higher market share and even higher profit. Interestingly, we observe that the relationship between the share of consumer surplus taken into account by the socially concerned firm and its profit is non-monotonic. As the share increases, the socially concerned firm's profit first increases and then decreases. The conclusion is that it pays off to take stakeholder interests into account, but not too much.     

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.     

Product differentiation and location decisions under demand uncertainty

We investigate Hotelling's duopoly game of location-then-price choices with quadratic transportation costs and uniformly distributed consumers under the assumption that firms are uncertain about the exact location of demand. We characterize the unique equilibrium and the socially optimal locations. Contrary to the individual-level random utility models, location uncertainty is a differentiation force. In equilibrium, increases in the variance of the uncertainty lead to greater differentiation, higher expected equilibrium prices and profits, and a greater welfare loss.     

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).     

Duopoly models with a joint capacity constraint

The paper proposes a two-stage mixed duopoly model of exhaustible resource market where at the first stage the government decides on the degree of privatization of public firm and at the second stage the public and private firms decide simultaneously on the two-period extraction paths. It is demonstrated that if the two firms have symmetric technologies with increasing marginal extraction costs and the same resource stocks, then neither full nationalization of any of the two firms nor full privatization will be socially desirable. It is shown that the presence of a semi-public firm improves intertemporal allocation of the fixed resource stock. Thus, partial privatization is optimal even under exogenously fixed total outputs of each firm. For asymmetric cost case, when the public firm is less efficient than the private firm, we derive the conditions under which full nationalization or full privatization is optimal.     

Economic considerations in the optimal size and number of reserve sites

The debate among ecologists on the optimal number of reserve sites under a fixed maximum total reserve area—the single large or several small (SLOSS) problem—has so far neglected the economic aspects of the problem. This paper argues that economic considerations can affect the optimal number and size of reserve sites and should therefore be taken into consideration in the SLOSS discussion. The paper presents a tractable analytical model to determine the socially optimal number of reserve sites to be allocated in a farming area under a fixed total reserve area, taking the opportunity costs of nature conservation (in this case, agricultural profits) into consideration. Furthermore, the effect of land trade and related transaction costs on the socially optimal number of reserve sites is analyzed. The analysis suggests that in the presence of diminishing returns to farming area, the socially optimal number of reserve sites (which maximizes social welfare) is generally larger than the ecologically optimal number (which maximizes an ecological objective such as population viability). When the opportunity costs of conservation can be offset by land transactions, however, the socially optimal number of reserve sites might be closer to the ecological optimum.     

Search costs and efficiency: Do unemployed workers search enough?

Many labor market policies affect the marginal benefits and costs of job search. The impact and desirability of such policies depend on the distribution of search costs. In this paper, we provide an equilibrium framework for identifying the distribution of search costs and we apply it to the Dutch labor market. In our model, the wage distribution, job search intensities, and firm entry are simultaneously determined in market equilibrium. Given the distribution of search intensities (which we directly observe), we calibrate the search cost distribution and the flow value of non-market time; these values are then used to derive the socially optimal firm entry rates and distribution of job search intensities. From a social point of view, some unemployed workers search too little due to a hold-up problem, while other unemployed workers search too much due to coordination frictions and rent-seeking behavior. Our results indicate that jointly increasing unemployment benefits and the sanctions for unemployed workers who do not search at all can be welfare-improving.     

Strategic take-back programs when consumers have heterogeneous environmental preferences

We look at the strategic introduction of take-back programs (TBPs) which offer consumers a discount on their next purchase (reward) when they drop off previous purchases. In a Hotelling duopoly, consumers are heterogeneous not only in terms of their location on the Hotelling line but also in terms of their recycling preferences. Firms introduce TBPs to obtain a market share advantage (reward effect) and/or to recover the intrinsic value of the recycled units (recycling effect); their choice of the optimal reward balances these two effects: for instance, a firm might be willing to introduce a TBP, even if this means losing money on each recycled unit, in order to prevent the competitor from gaining a too large market share advantage. Comparing the level of TBP uptake at the market equilibrium to the one that maximizes social welfare, we show that a lower or higher TBP uptake can be socially desirable, depending, among other, on the weight that is given to the environmental benefits of TBPs. Several extended producer responsibility policies are discussed in terms of their potential to encourage TBP uptake and their overall impact on social 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.     

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.     

Mixed Duopoly and Environment

We show under general demand and cost conditions that in a mixed duopoly with pollution the government can implement the socially optimal outputs and abatements by a tax‐subsidy scheme and keeping the public firm fully public. The scheme requires taxing outputs and subsidizing abatements at different rates, unlike a pollution tax. Our result improves on the shortcoming of a pollution tax to implement the social optimum. We also show that when the private firm is partly foreign‐owned, the government will adopt some privatization and will not implement the social optimum, though the social optimum is implementable.     

Emission tax and optimal privatization in Cournot–Bertrand comparison

We compare a Cournot with a Bertrand duopoly in a differentiated mixed market when both emission tax and privatization policies are used together. We find that the optimal emission tax is always lower than the marginal environmental damage, and it is always lower under Cournot than under Bertrand. We also find that the optimal privatization is always a partial privatization, and it is always higher under Cournot than under Bertrand. The socially optimal combinations of emission tax and privatization will damage the environment most, but Cournot yields lower environmental damage and social welfare than those under Bertrand. Finally, we show that the environmental damage is non-monotone in the level of privatization under both Cournot and Bertrand competitions.     

The political economy of sin taxes

We analyse the determination of taxes on harmful goods when consumers have self-control problems. We show that under reasonable assumptions, the socially optimal corrective tax exceeds the average distortion caused by self-control problems. Further, we analyse how individuals with self-control problems would vote on taxes on the consumption of harmful goods, and show that the equilibrium tax is typically below the socially optimal level. When the redistributive effects of sin taxes are taken into account, the difference between the social optimum and equilibrium is small at low levels of harm, but becomes more pronounced when consumption is more harmful.     

Complexities due to sluggish expansion of backstop technologies

This paper considers an economy using a technology that adds to a stock of pollution. Examples that come to mind are SO₂-emissions from burning coal accumulating in the soil and CO₂-emissions from fossil-energy use which are retained in the atmosphere. The stock of pollutants is subject to natural decay, albeit not necessarily of the simple often assumed linear type. In addition, a clean or so-called backstop technology is available that requires costly investments but is characterized by low variable costs (e.g., solar energy or wind power). The costly investments imply a slow build-up of the capacity of the backstop. On the modelling side, this is an essential extension of most of the literature that considers the unrealistic case where a backstop is instantaneously available. The second extension the present paper makes is to consider not only the planning problem but also the competitive outcomes. One of the interesting results is that stable limit cycles may characterize the socially optimal long-run outcome as well as the competitive equilibrium. In a competitive equilibrium pollution-control policy is not necessarily optimal in the sense of corresponding with the social optimum. Although cycling can occur in a competitive equilibrium, just as in the social optimum, relaxation of the control increases the set of parameter values for which complex and unstable behavior arises.     

Endogenous Market Structure and Technology Licensing

This paper analyses the optimal licensing strategy of a licensor firm that competes with potential licensee firms in an industry with endogenous entry. The optimal licensing strategy of the licensor firm is to have zero royalty and positive fixed fees, which is a result that sharply contrasts with the existing literature whereby licensor firms tend to charge positive royalties to their rival licensees. Under the optimal licensing strategy, the licensor firm and the licensee firms are active in the market, but not the non‐licensed firms. This equilibrium market structure is socially desirable if the fixed production cost is not too small.