R&D Subsidies versus R&D Cooperation in a Duopoly with Spillovers and Pollution

We introduce pollution, as a by‐product of production, into a non‐tournament model of R&D with spillovers. Technology policy takes the form of either R&D subsidisation or pre‐competitive R&D cooperation. We show that, when the emissions tax is exogenous, the optimal R&D subsidy can be negative, i.e. there should be a tax on R&D, depending on the extent of the appropriability problem and the degree of environmental damage. In a wide class of cases, depending on the parameter values, welfare in the case of R&D cooperation, is lower than welfare in the case of R&D subsidisation.     

Climate Policy under Technology Spillovers

We study climate policy when there are technology spillovers between countries, as there is no instrument that (directly) corrects for these externalities. Without an international climate agreement, the (non-cooperative) equilibrium depends on whether countries use tradable quotas or carbon taxes as their environmental policy instruments. All countries are better-off in the tax case than in the quota case. Two types of international climate agreements are then studied: One is a Kyoto type of agreement where each country is assigned a specific number of internationally tradable quotas. In the second type of agreement, a common carbon tax is used domestically in all countries. None of the cases satisfy the conditions for the social optimum. Even if the quota price is equal to the Pigovian level, R&D investments will be lower than what is socially optimal in the quota case. It is also argued that the quota agreement gives higher R&D expenditures and more abatement than the tax agreement.     

Emissions abatement R&D: Dynamic competition in supply schedules

This paper investigates the optimal environmental policy (the mix of emissions tax and research and development [R&D] subsidy) in a dynamic setting when two firms, producing differentiated products, compete in the output market over time. Firms compete in a differential game setting over supply schedules, which encompasses a continuum of imperfect competition equilibria from Bertrand to Cournot. Although production generates environmentally damaging emissions, firms can undertake R&D that has the sole purpose of reducing emissions. In addition to characterizing the optimal policy, we examine how the optimal tax and subsidy, and the optimal level of abatement, change as competition intensifies, as the dynamic parameters change, and as the investment in abatement technology changes. In this setting, competition increases welfare through its impact on the final goods price. However, lower prices result in larger quantities and more pollution. Our key contribution is to show how the impact of increased competition on welfare depends on the extent of the market and the nature of preferences and technology.     

Optimal pollution control in a mixed oligopoly with research spillovers

We study optimal pollution abatement under a mixed oligopoly when firms engage in emissions‐reducing research and development (R&D) with imperfect appropriation. The regulator uses a tax to curb emissions. Results show that in a mixed oligopoly, the public firm has positive emissions reduction in equilibrium; however, emissions reductions of the private firm could be positive or zero. Under certain conditions, the optimal pollution tax is positive; otherwise, the tax reverts to a subsidy. Comparing mixed and private duopolies, privatisation leads to reductions in R&D and output, but to an increase in overall emissions, so privatisation tends to make the environment worse.     

The Timing of Environmental Policy: A Note on the Role of Product Differentiation

We examine the role that product differentiation can play in the design of environmental policy under full commitment and no commitment on the part of the environmental regulator. We consider a setting with two firms selling a differentiated product which generates pollution through emissions. Firms can reduce their emissions by undertaking abatement activities while an environmental regulator taxes emissions. The main results are: (1) When products are highly differentiated, the optimal time-consistent (no commitment) tax is always lower than the optimal pre-commitment tax. As the degree of product differentiation decreases, for relatively efficient abatement technology and high damages, the time-consistent emission tax exceeds the optimal pre-commitment one. (2) Abatement when product differentiation is extensive is higher under the time-consistent regime unless the abatement technology is extremely efficient. The same ranking applies to social welfare. However, as products become more and more similar, these results are (partially) reversed and pre-commitment could lead to both higher levels of abatement and welfare.     

Effect of the Tax System ON R&D Intensity,Growth, Wages and Consumption Share

We propose a general equilibrium knowledge‐driven (semi‐)endogenous‐growth model with horizontal R&D, which is extended to consider two types of labour, skilled and unskilled, and exogenous government expenditure, financed through taxes on financial assets and on labour income, to analyse the implications of the tax system on R&D intensity, economic growth, wage inequality and consumption share in the output. In particular, we show that: (i) taxes have negative influence in the consumption share, being higher the marginal effect of the labour‐income tax; (ii) for any given government expenditure share, an increase (a decrease) in financial‐assets tax decreases (increases) the labour‐income tax; (iii) only the financial‐assets tax affects negatively the R&D intensity and the skill‐premium; thus, to reduce the skill‐premium the financial‐assets tax must increase; (iv) ignoring the effect on wage inequality and on R&D intensity, taxes are substitutes.     

Fiscal policies, environmental pollution and economic growth

This paper develops a model of endogenous economic growth with special consideration to the role of productive public expenditure and environmental pollution; and analyses the properties of optimal fiscal policy in the steady state growth equilibrium. We consider the level of consumption as the source of pollution. Government allocates its tax revenue between pollution abatement expenditure and productive public expenditure. Optimum ratio of productive public expenditure to national income is equal to the competitive output share of the public input, when productive public expenditure is depicted as tax revenue minus abatement expenditure. However, the proportional income tax rate exceeds the competitive output share of the public input. There is no conflict between the social welfare maximizing solution and the growth rate maximizing solution in the steady state growth equilibrium. The unique steady state growth equilibrium appears to be a saddle-point when the growth rate is above a critical level and the steady state equilibrium growth rate in the market economy is not necessarily lower than the socially efficient growth rate.     

Investment and emission control under technology and pollution externalities

This paper studies incentives to develop advanced pollution abatement technology when technology may spillover across agents and pollution abatement is a public good. We are motivated by a variety of pollution control issues where solutions require the development and implementation of new pollution abatement technologies. We show that at the Nash equilibrium of a simultaneous-move game with R&D investment and emission abatement, whether the free rider effect prevails and under-investment and excess emissions occur depends on the degree of technology spillovers and the effect of R&D on the marginal abatement costs. There are cases in which, contrary to conventional wisdom, Nash equilibrium investments in emissions reductions exceed the first-best case.     

Public Expenditure,Environment, and Economic Growth

This paper attempts to develop a model of endogenous growth with special consideration to the role of productive public expenditure in the presence of congestion effect of private capital and environmental pollution. We analyze the properties of the optimal fiscal policy in the steady‐state equilibrium when the level of production of the final good is the source of emission. Government allocates its income tax revenue between pollution abatement expenditure and productive public expenditure. In the steady‐state equilibrium, optimum ratio of productive public expenditure to national income is less than the competitive output share of the public input; and this ratio varies inversely with the magnitude of the emission‐output coefficient. The steady‐state equilibrium appears to be a saddle point; and the market economy growth rate is not necessarily less than the socially efficient growth rate in the steady‐state equilibrium.     

Environmental Policy with Endogenous Technology from a Game Theoretic Perspective: The Case of the US Pulp and Paper Industry

The merits of different types of regulatory tools in eliminating pollution and at the same time inducing innovation have long been an interest of researchers in both environmental economics and industrial organization. Although there is a substantial theoretical literature investigating the potential for various environmental policies to attain these dual goals, this is a challenging empirical problem because every industry has its own inherent characteristics that play an important role in determining the performance of different regulatory tools. The majority of the work to date focuses on pollution abatement while leaving pollution prevention understudied. In most of the literature firms are also assumed to be symmetric. Asymmetries among firms add another degree and level of complexity to their strategic interactions, and affect the performance of different regulatory tools. This paper investigates the performance of two alternative regulatory tools, an emissions performance standard and an emissions tax, in reducing pollution and inducing pollution prevention and abatement R&D in the US pulp and paper industry. We construct a model representing the industry in an asymmetric Cournot duopoly framework, calibrate the model to disaggregated industry data, and run scenarios to replicate the behavior of the firms in an imperfectly competitive output market. Our results suggest that pollution prevention R&D can respond quite differently than abatement R&D to different policy instruments. The results indicate that R&D spillovers among firms play crucial role in technology development and strategies of the firms. Our results also suggest that strategic interactions between firms in an imperfectly competitive industry can have significant impacts of the levels of both types of R&D.      

Regulating a Polluting Oligopoly: Emission Tax or Voluntary Agreement?

This paper compares, in a polluting oligopoly, an emission tax and a form of environmental policy called voluntary agreement (VA). Here there are two ways of reducing pollution: output contraction and end‐of‐pipe abatement. Given the imperfect competition, firms’ reaction to the tax is sub‐optimal. They reduce output excessively in order to raise the price and do not abate enough. The VA is a take‐it‐or‐leave‐it contract on abatement effort, offered to the firms with the threat of a tax. It has a limited effect on output and always allows higher abatement than the tax. We find that this kind of VA may be more efficient than the tax in a concentrated industry, when pollution is not too harmful and when the abatement technology is rather efficient and cheap.     

Intra-industry spillovers and innovation: An econometric analysis at the firm level

This paper studies spillover effects of innovation at the firm level and the comparability of generalized method of moments (GMM) estimators with maximum likelihood estimators of the earlier studies. Two sources of spillovers are identified, i.e. intra-industry R&D expenditure and intra-industry innovation output. This paper estimates a negative R&D spillover effect and a positive output spillover effect. Because of the substitution effect of intra-industry R&D spillovers, the elasticity of patent with respect to firm's own R&D expenditure is greater than those estimated in the earlier studies. With GMM, individual effects are incorporated into the models either by developing proxies for them or attempting to eliminate them.     

Strategic state-level environmental policy with asymmetric pollution spillovers

This paper examines the strategic behavior of state-level utility regulators in the context of the federal tradable emissions permits market when state-to-state pollution spillovers are asymmetric. Strategic behavior is possible because a state’s environmental policy indirectly affects the price of permits and, therefore, abatement in other states. We show that the optimal pollution penalty is comprised of two parts: (i) a Pigouvian tax, adjusted for state-to-state spillovers; and (ii) an optimal tariff designed to improve the terms of trade in permits. Generally, abatement costs are not minimized and the outcome is Pareto inefficient, regardless of the size of the market.     

Emission Taxes and Product Differentiation in the Presence of Foreign Firms

Industries characterized by differentiated products are important contributors of greenhouse gases and currently subject to market‐based policies such as emission taxes. In the context of developing countries, fears about foreign investment leaving the country are often used as an argument not to address industry emissions through emission taxes. This paper develops a Cournot model with product differentiation in the presence of abatement efforts where host and foreign firms are subject to an emission tax. The analysis indicates that abatement efforts and differences in pollution intensity coefficients across firms may play a significant role in the characterization of optimal policy. The analysis also suggests that the government may opt to encourage foreign, less pollution‐intensive firms via higher taxation. Additionally, this paper examines how an optimal emission tax may be adjusted as products become more differentiated; industry emissions may fall/rise as a result of more differentiated products. One important contribution of this paper is that it emphasizes the role of abatement efforts, product differentiation, and differences in pollution intensity coefficients across firms in the characterization of the optimal emission tax.     

Green consumers and environmental policy

The present paper examines how improvements in consumers' environmental awareness influence the choice between output and emission taxes, within a framework of imperfect competition and endogenous choice of abatement level. We first show that in the absence of policy intervention, there exists a level of environmental awareness beyond which welfare is decreasing as market imperfections become more prominent relative to environmental concerns. We also confirm that both output and emission taxes are welfare superior to the free-market case. What is surprising, however, is that the welfare performance of an optimally chosen emissions tax is monotonically decreasing in consumers' environmental sensitivity, while the opposite is true for an output tax up to a certain level. At low levels of consumers' environmental awareness an emissions tax is welfare superior, but eventually, there is a level of environmental awareness beyond which an output-tax welfare dominates an emissions tax. Therefore, an emissions tax is better suited to societies that have not yet developed high levels of environmental awareness, while societies characterized by high levels of environmental awareness should prefer an output tax.     

Research Joint Ventures with Asymmetric Spillovers and Symmetric Contributions

The paper proposes a new type of R&D cooperation between firms endowed with asymmetric spillovers, which we call symmetric Research Joint Venture (RJV) cartelization, based on reciprocity in information exchange. In this setting, firms coordinate their R&D expenditures and also share information, but such that the asymmetric spillover rates are increased through cooperation by equal amounts. It is found that this type of cooperation reduces R&D investment by the low spillover firm when its spillover is sufficiently low and the spillover of its competitor is sufficiently high. But it always increases the R&D of the high spillover firm, as well as total R&D (and hence effective cost reduction and welfare). A firm prefers no cooperation to symmetric RJV cartelization if its spillover rate is very high and the spillover rate of its competitor is intermediate. The profitability of symmetric RJV cartelization relative to other modes of cooperation is analyzed. It is found that symmetric RJV cartelization constitutes an equilibrium for a very wide range of spillovers, namely, when asymmetries between spillovers are not too large. As these asymmetries increase, the equilibrium goes from symmetric RJV cartelization, to RJV cartelization, to R&D competition, to R&D cartelization.     

R&D cooperation with asymmetric spillovers

Abstract.  This paper analyses R&D cooperation with asymmetric spillovers. It is shown that the change in R&D by a firm following cooperation is proportional to the gap between the spillover rate transmitted by that firm and a critical level of spillovers. In consequence, cooperation increases total R&D investments when the average of firms' spillover rates is sufficiently high. Whereas with symmetric spillovers cooperation is always beneficial to firms, with asymmetric spillovers only a very limited range of spillovers makes cooperation beneficial to both firms. Asymmetries also create a potential conflict between maximizing total welfare and maximizing effective cost reduction. JEL classification: L13, O33     

Location decisions of a polluting firm and the time consistency of environmental policy

This paper considers location decisions of a monopolist, who faces a tax on its emissions in the home country, under ex post that is, time consistent, and ex ante, that is precommitment, environmental policies. We show that the monopolist will relocate more often under ex post optimal emission taxes. A government which cannot commit to an ex ante emission tax and sets its tax ex post after abatement effort has been chosen, is unable to affect the monopolist’s location decision, because it cannot commit to strategically reduce its tax level in the first stage. Domestic welfare is often higher under ex post emission taxes whenever the monopolist relocates under both policy regimes. Otherwise, welfare is higher under government commitment to an ex ante emission tax level. Thus, government commitment to a policy is not always welfare improving.     

DYNAMIC ENVIRONMENTAL TAXES UNDER INTERNATIONAL DUOPOLY

This paper studies a dynamic game of environmental taxes between two countries in the absence of explicit trade policies when both governments and firms act strategically. We demonstrate that the environmental tax in the steady‐state equilibrium in a dynamic environmental tax game is lower than that in a static environmental one. Therefore, the dynamic behaviour of the governments results in an increase in the environmental damage. Further, as a result of international cooperation on environmental taxes between two countries in the beginning of policy competition, there is an increase in the optimal environmental tax. This implies that it is important to set cooperative environmental taxes in the beginning of policy competition because non‐cooperative environmental taxes in the dynamic game result in the race‐to‐the‐bottom, which does not lead to environmental improvement.     

Voluntary Environmental Agreements vs. Emission Taxes in Strategic Trade Models

The purpose of the paper is to narrow the gap between the widespread use of voluntary agreements and research on the rationale of such approaches. A topical example are voluntary agreements of many industries to reduce carbon dioxide emissions because of global warming. If the industry anticipates that taxes and fees will be introduced in the coming years, it seems rational to act in advance in order to mitigate the tax levels.The conventional approach in strategic trade and tax models was to look at a two-stage game where governments set taxes first and then firms react. In such a policy regime the government is concerned about the international competitiveness of its firms and sets taxes below marginal damages. In this paper, we consider a policy regime with a reversed timing. Firms commit themselves in the face of emission taxes to abatement efforts and to lower levels of the environmentally intensive output. Then the government introduces the tax. Under this timing of strategies the tax is equal to marginal damage. Firms waive profit and reduce output in order to use less of the polluting input. The reward for this behavior will be a less strict use of policy instruments and hence lower abatement costs in the near future.