Effects of a blocking patent on R&D with endogenous survival activities

This study analyzes the effect of strengthening patent protection for innovation and economic growth by introducing a blocking patent into the endogenous growth model developed by Furukawa (Econ Lett 121(1):26–29, 2013a), which features survival activity of patent holders in the R&D sector with a variety-expansion model. Results show that strengthening patent protection can raise the economic growth rate and social welfare through an endogenous survival investment. Additionally, this study examines the effects of increasing subsidies for R&D. We find that increasing R&D subsidy rate can negatively affect economic growth and social welfare because of the investment for survival activities. This result shows the novel role of a blocking patent in determining innovation effects of R&D subsidies. Furthermore, we analyze the effect of patent breadth which is another patent instrument in this model on innovation and economic growth. Results show that the growth and welfare effects of the profit-division rule and the subsidy rate for R&D may vary with the size of patent breadth.     

A North–South model of outsourcing and growth

In this paper, I formulate a simple North–South R&D‐based growth model where final goods firms in the North endogenously determine the range of international outsourcing of intermediate goods to the South. I show that a fall in the trade cost (through trade liberalization) of intermediate goods in the North: (i) reduces the wage of the North relative to that of the South; (ii) increases the outsourced variety of intermediate goods in the North; and (iii) stimulates Northern R&D activity and economic growth in both countries. By conducting welfare analysis, I also show that a decline in the trade cost of intermediate goods in the North improves welfare in the South more than in the North.     

R&D subsidy and output subsidy in a duopoly: The role of technology spillover and R&D budget

Technology spillover and research and development (R&D) budget are relevant on government subsidies that aim at improving social welfare through enhancing R&D incentives of firms. However, there has not been related literature considering these two factors. To fill this gap, this paper examines the effect of technology spillover and R&D budget on R&D competition of duopolistic firms and government subsidies by constructing a game-theoretic model. We find that while each firm's profit sometimes increases with R&D budget for low coefficient of technology spillover, this profit may decrease with R&D budget for high coefficient of technology spillover due to the intensified R&D competition. We show that when both R&D budget and the coefficient of technology spillover remain high, R&D subsidy leads to higher social welfare than output subsidy and otherwise R&D subsidy results in lower social welfare.     

Government Subsidies of R&D in a Product Cycle Framework: US–Japan Simulations

The welfare effects of R&D subsidies are examined using a product cycle model of trade between two developed countries. Simulations are done for steady-state welfare in Japan and the USA for high- and low-skilled labor over different combinations of subsidy rates. Japanese subsidies to R&D usually benefit Americans owing to an increase in product variety. However, because Japanese R&D reduces wages in the US high-tech sector, American high-skilled workers are hurt if Japanese subsidies are too large. Large American subsidies may cause Japanese innovation to cease. However, Japanese steady-state welfare would be maximized in this case.     

Quantitative growth effects of subsidies in a search theoretic R&D model

Should government subsidize R&D and does it matter how these subsidies are allocated? We examine these questions in a dynamic model where R&D is described as sequential sampling from a distribution of new ideas. Successful discoveries affect future available resources and incentives for further R&D. Consequently, there may be under-investment in R&D. We study the effect of government interventions aimed at fostering growth through R&D. Calibrating the model with aggregate data from the Israeli business sector allows us to quantitatively compare two forms of support resembling those actually used to encourage R&D in the Israeli business sector: (i) an unrestricted subsidy that may be used at the recipients' discretion to finance R&D or other investments, (ii) a subsidy earmarked by the government for R&D activities only. While there is no theoretical way to determine which of the two subsidies will have a greater impact on search for new ideas and growth, we find that in the calibrated economy both subsidies have a significant but similar impact on the economy's output and TFP growth rates. Accordingly, in the case of the Israeli business sector, the incentives to conduct R&D were sufficiently strong, and no R&D-specific encouragement was needed. However, a sensitivity analysis reveals that for economies characterized by other parameter values this result may not be true. Correspondence to: B. Bental     

On the paradoxical case of a consumer-based environmental subsidy policy

We apply an environmentally differentiated duopoly model to the analysis of environmental policy involving consumer subsidies based on the emission levels of the products consumers purchase. More specifically, we consider the environmental and welfare effects of subsidizing consumers who purchase environmentally friendly goods in the case of a partially covered market with a Cournot duopoly. We show that, paradoxically, the subsidy policy degrades the environment, and that the optimal policy depends on the degree of marginal social valuation of environmental damage. That is, if the marginal social valuation of environmental damage is larger than a certain value, a consumer-based environmental subsidy policy is not socially optimal.     

Occupational choice and entrepreneurship: effects of R&D subsidies on economic growth

Most R&D-based growth models fail to explicitly account for the role of entrepreneurs in economic growth. By contrast, this study accounts for this factor and constructs an overlapping-generations model that includes entrepreneurial innovation and the occupational choice of becoming an entrepreneur or a worker. For the role of entrepreneurs, even a policy intended to encourage innovation can negatively affect economic growth. For the effect of such policies, I focus on the role of R&D subsidies. I show that while R&D subsidies promote entrepreneurs’ R&D activities, they increase workers’ wages by boosting labor demand. Thus, it is more attractive to be a worker, which reduces the number of entrepreneurs. Subsidies can have both a negative and positive effect on growth, which results in an inverted U-shaped relationship between R&D subsidies and growth. In addition, a growth-maximizing R&D subsidy rate exists, although this rate is too high to maximize the welfare level of any one generation. When individuals are heterogeneous in their abilities, R&D subsidies reduce intra-generational inequalities.     

Climate change mitigation options and directed technical change: A decentralized equilibrium analysis

The paper considers an endogenous growth model with climate change as well as three R&D sectors dedicated to energy, CCS (Carbon Capture and Storage) and backstop efficiency. First, we characterize the set of decentralized equilibria: a particular equilibrium is associated with any vector of policy instruments including a carbon tax and a subsidy to each R&D sector. Second, we show that it is possible to express any equilibrium as the solution of a maximization program. Third, we solve the first-best optimum problem and thereby deriving the optimal instruments. Finally, we illustrate the theoretical model using calibrated functional specifications. In particular, we investigate the effects of various combinations of policy instruments (including the optimal ones) by determining the deviation of each corresponding equilibrium from the “laisser-faire” benchmark. We find notably that introducing an R&D subsidy hardly affects emissions when a carbon tax is already implemented, thus revealing a complementary effect between these two policy instruments.     

Does Environmental Policy Necessarily Discourage Growth?

This paper analyzes the long-run impact of an environmental policy on economic growth. A growth model with vertical innovation is modified by including intermediate goods as a source of pollution. Taxation on pollution reduces profits of intermediate firms as well as final outputs. However, it increases their mark-ups and alleviates profit losses. In this setting, profit losses are offset by the general equilibrium effect; thus, the tax enhances R&Ds which drive economic growth while it reduces pollution. If the government provides an R&D subsidy, the growth rate will be accelerated.     

Effectiveness versus Efficiency: Growth-Accelerating Policies in a Model of Growth without Scale Effects

Abstract. Recent R&D growth models without strong scale effects imply that long-run growth rates depend only on parameters that are usually taken to be exogenous. However, integrating human capital accumulation into models of this type, Arnold (2002) demonstrates that subsidizing education accelerates growth. The present paper addresses welfare issues in Arnold's model. The main theoretical finding of the paper is that a system of subsidies that implements the optimal balanced growth path as a decentralized equilibrium includes zero subsidies to education, while R&D activity should be either subsidized or taxed. To shed further light on the latter result, the model is calibrated and it turns out that along the balanced growth path, the decentralized economy underinvests in R&D, i.e. R&D activities should be subsidized.     

The effectiveness of R&D subsidies

In this paper, the effectiveness of R&D subsidies is analyzed in an oligopolistic model that we apply to the cases of international R&D competition and cooperation. We find that the existence of asymmetric information among firms on whether a rival (or partner) is being subsidized or not may play a key role in explaining whether subsidies are effective or not in increasing R&D investments. In particular, it is shown that if the existence of the subsidy is made public (e.g. because strict information release regulation about R&D subsidies is enforced) and depending on the strategic relationship between the firms’ R&D efforts, an R&D subsidy could even hurt the subsidized firm.     

Firm Heterogeneity,Contract Enforcement,and the Industry Dynamics of Offshoring*

We develop an endogenous growth model with R&D spillovers to study the long‐run consequences of offshoring with firm heterogeneity and incomplete contracts. In so doing, we model offshoring as the geographical fragmentation of a firm's production chain between a home upstream division and a foreign downstream division. While there is always a positive correlation between upstream bargaining weight and offshoring activities, there is an inverted U‐shaped relationship between these and growth. Whether offshoring with incomplete contracts also increases consumption depends on firm heterogeneity. As for welfare, whereas with complete contracts an R&D subsidy is enough to solve the inefficiency due to R&D spillovers, with incomplete contracts a production subsidy is also needed.     

Growth and optimal policies in an R&D-growth model with imperfect international capital mobility

In this paper, we examine the effects of international capital mobility on innovation, growth, and optimal growth policies in a small open economy with R&D-driven growth. Households can borrow funds from an imperfect international capital market to finance their investment in R&D firms. We show that the economy can reach a higher growth rate if international capital is more mobile. This result is consistent with recent empirical findings. Moreover, we show that the common growth-enhancing policies, such as patent protection and the R&D subsidies, have an additional negative welfare effect when households can access the international capital market. Accordingly, the optimal patent protection and R&D subsidy should be smaller when the degree of international capital mobility is higher.     

Employment Risk and Optimal Trade Policies

This paper considers trade policies and welfare in a Harris–Todaro model with risk-averse workers. Workers are assumed to have identical and homothetic preferences, but their incomes differ, depending on whether and where they are employed. When workers are equally valued, maximizing social utility is equivalent to maximizing the utility of a rural worker. An optimal policy consists of a production subsidy on the exportable and an import tariff. This model explains the widespread use of import tariffs on manufactured goods along with production subsidies on the export sectors in many LDCs.
JEL Classification Numbers: F13, D8.     

Quantifying Optimal Growth Policy

We determine the optimal growth policy within a comprehensive endogenous growth model. The model accounts for important elements of the tax transfer system and for transitional dynamics. It captures the three main growth engines based on standard ingredients in order to understand the quantitative policy and welfare implications of the existing theory. Our calibrated model indicates that the current policy leads to severe underinvestment in both R&D and physical capital, implying that both R&D and capital investment subsidies should be increased substantially. We argue that previous research has overlooked a strong evidence for the welfare significance of the quest for the optimal growth policy by failing to calibrate the distortionary tax system.     

Subsidizing public inputs

If production–cost savings associated with successful research and development are freely disseminated to other firms as soon as they are realized, too few resources may be allocated to this activity. Subsidies to this activity, a public input, can lead to optimal input use. The effectiveness of four alternative subsidy instruments in stimulating firms’ R&D spending are examined. Two are incremental subsidies and two are level subsidies. One of the incremental subsidies and one of the level subsidies crudely capture characteristics of incentive mechanisms used in many countries. A laboratory implementation of these instruments confirms that incremental subsidies are inferior to level subsidies.     

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.     

Education,Innovation and Long‐Run Growth

We extend a second‐generation Schumpeterian growth model to incorporate human capital accumulation to clarify the general equilibrium effects of subsidy policies on human capital accumulation and R&D activities in a unified framework. Despite the conventional argument that subsidies always stimulate these growth‐promoting activities, we find that subsidies asymmetrically affect human capital accumulation and R&D activities. Our theoretical results suggest that research using standard models of human capital might find false negative relationships between education subsidies and economic growth.     

Optimal research and development and the cost of business cycles

While research and development (R&D) investment has been procyclical in the post-war period, recent literature suggests that the optimal path for R&D is countercyclical, and that the economy would be better off by subsidizing R&D in recessions. The objective of this paper is to analyze the welfare effects of distortions in the intertemporal allocation of R&D resources and to compare diverse policy interventions so as to improve social welfare. To this end, we introduce a calibrated dynamic stochastic general equilibrium model with Schumpeterian endogenous growth that is capable of explaining the observed procyclicality of R&D. Our results show that the cost of business cycles is lower in the decentralized economy with procyclical R&D than in the efficient allocation with countercyclical R&D. This is because the suboptimal propagation of shocks in the decentralized equilibrium offsets some of the existing steady-state distortions. In this second-best context, countercyclical R&D subsidies have no positive effect on welfare. In contrast, fiscal policies aimed at restoring the optimal steady-state produce large welfare gains.     

R&D policy with layers of economic integration

This paper examines whether the optimal unilateral R&D policy for an open economy is a subsidy or a tax. It constructs a general equilibrium model with three successive layers of international integration: (a) trade in goods, (b) trade in technologies with international R&D spillovers and (c) internationally-coordinated R&D policy. Trade in technologies introduces the possibility that an R&D subsidy will have such strong, negative terms-of-trade effects that it harms domestic welfare. Numerical simulations of the OECD show this is a possibility for the US and Japan. With international R&D spillovers a domestic R&D subsidy may reduce domestic innovation.