On R&D spillovers, multiple equilibria and indeterminacy

Empirical studies often find significant and positive R&D spillovers across firms. In this note, we incorporate this spillover effect into a scale-invariant quality-ladder model. We find that the modified model features multiple steady states (1) a high-R&D steady state, (2) a low-R&D steady state and (3) a zero-R&D steady state. As for dynamics, when R&D spillovers are small, only the zero-R&D steady state is stable, and it emerges as a no-growth trap. In this case, the economy is subject to sunspot fluctuations around this trap (i.e., local indeterminacy). When R&D spillovers are large, both the zero-R&D and high-R&D steady states are stable and locally indeterminate. In this case, increasing patent breadth may cause the high-R&D steady state to become unstable and the economy to converge to the no-growth trap. Therefore, strengthening patent protection may stifle innovation through the occurrence of a bifurcation.     

Testing a model of UK growth: A role for R&D subsidies

R&D is a main driver of growth, whether by generating new ideas for production or increasing technological transfer. However, R&D itself is risky and faces numerous barriers which may reduce its marginal return. Direct R&D subsides are intended to counteract such barriers, but whether they lead empirically to increased economic growth is unclear. In our structural model of the UK, subsidies offset the frictional costs associated with R&D, incentivising innovation and so stimulating productivity growth. We estimate and test this structural model by indirect inference, a method not previously used in work on R&D. We find that even temporary cuts to R&D funding have long-lasting impacts on UK economic growth. The power of the test allows us to calculate tight accuracy bounds for our results and for policy reform impacts calculated using the model. These findings are of high relevance to the ongoing debate around the future UK innovation environment.     

Examination and Approval of New Patents in an Endogenous Growth Model

This study introduces the examination duration for newly developed goods into a standard R&D-based growth model. Producing such goods requires approval from an authority, and their examination incurs both cost and time. Thus, there is a lag between invention and production. This study investigates the effects of reducing the examination duration on examination backlogs (the number of newly invented goods under examination), economic growth, and welfare. We obtain an inverted-U shaped relationship between backlogs and duration, because reducing the duration decreases backlogs by accelerating the examination process, but simultaneously increases backlogs by promoting R&D and increasing the number of applications. In addition, we demonstrate that reducing the examination duration promotes economic growth. However, a rather short examination duration needs considerable resources as the examination has a higher cost. Thus, an extremely short duration hurts welfare. Our numerical analysis reveals the existence of an optimal examination duration.     

Indeterminate equilibrium growth with product and R&D spillovers

The paper revisits an endogenously growing economy à la Romer (1990) to explore the possibility of local and global indeterminacy where, along with the usual R&D spillover, a manufacturing sector generates a product spillover on R&D. When the product spillover facilitates R&D, the dynamic market equilibrium is unique and determinate. However, when the product spillover is strongly negative on R&D, multiple balanced market equilibria emerge and are therefore globally indeterminate. Furthermore, global indeterminacy coexists with local indeterminacy under the joint condition on the intertemporal elasticity of substitution of consumption. Local indeterminacy also emerges when the product spillover is mildly negative in tandem with a high intertemporal elasticity of substitution. Hence, a dynamic market economy with product spillovers in the R&D sector enriches the understanding of observable growth phenomena, including business and growth cycles and income and growth disparity, among countries with the same economic fundamentals.     

Information disclosure, banking development and knowledge-driven growth

In this study we develop a knowledge-driven growth model which explicitly models the banking sector as monopolistically competitive. The main mechanism through which financial intermediaries affect the real economy is through the evaluation and provision of liquidity to R&D projects. We distinguish two scenarios. In the regime with information disclosure, banks are able to use the stock of information obtained by the banking industry from evaluating R&D projects. This information externality brings about efficiency improvements, thereby leading to a positive entry of banks, more bank-funded research and in turn positive economic growth. By contrast, in the regime with no information disclosure, it is not profitable for new banks to enter the industry. This implies that no more potential R&D projects can be evaluated and hence financed, thus leading the economy to a zero-growth equilibrium.     

Management Ability, Long-run Growth, and Poverty Traps

This study establishes an R&D-based growth model that includes the functional difference between labor and human capital in the production of goods. In our analysis, human capital is used by the managers in the manufacturing process. Such an allocation of human capital yields three possible steady states: endogenous growth, poverty traps, and multiple equilibria. Economies are sorted into these steady states according to the endowments of labor, human capital, and knowledge. Thus, the obtained steady states explain some economic growth patterns, such as polarization and leapfrogging of economies.     

RE‐EXAMINATION OF THE GROWTH‐ENHANCING BUBBLE

We investigate the growth and welfare effects of the bubble that arise on equities on newly created firms by R&D activities. Considering an economy where the input to the R&D sector is the final goods financed by the savings of the household sector, we show that such a bubble has a growth‐enhancing effect under the condition opposite to the previous literature. We also explore the characteristics of the steady state equilibrium with the bubble and demonstrate that there can be dual bubbly equilibria, one of which is unstable and the other stable, and that the growth and welfare effects of an unexpected permanent change in the initial bubble are very different depending on which equilibrium the economy stays in.     

The Causality Between R&D And Investment

The aim of this paper is to investigate the relationship between R&D expenditure and investment in machinery and equipment in order to test for causality. New growth theory emphasises the role of R&D in creating blueprints needed to produce new capital goods implicitly assuming causality running from R&D to investment. Other recent studies using firm level data have investigated the relationship between innovative activity and investment in fixed capital. In this paper we use aggregate data from the US economy on R&D expenditure in the industrial sector and aggregate investment in machinery and equipment. Standard Granger causality tests, together with the Hsiao version, are then performed, showing that causality runs from R&D to investment. In addition we perform a cointegration analysis allowing a test of possible long-run feedbacks. This dynamic representation shows that any feedback between investment and R&D is only significant in the long run.     

Technology clubs, R&D and growth patterns: Evidence from EU manufacturing

This paper investigates the forces driving output change in a panel of EU manufacturing industries. A flexible modeling strategy is adopted that accounts for: (i) inefficient use of resources and (ii) differences in the production technology across industries. With our model we are able to identify technical, efficiency, and input growth for endogenously determined technology clubs. Technology club membership is modeled as a function of R&D intensity. This framework allows us to explore the components of output growth in each club, technology spillovers and catch-up issues across industries and countries.     

An endogenous growth model with embodied energy-saving technical change

In this paper, we extend the Romer [Journal of Political Economy 98 (Part 2) (1990) S271] model in two ways. First we include energy consumption of intermediates. Second, intermediates become heterogeneous due to endogenous energy-saving technical change. We show that the resulting model can still generate steady state growth, but the growth rate depends negatively on the growth of real energy prices. The reason is that real energy price rises will lower the profitability of using new intermediate goods, and hence, the profitability of doing research, and therefore have a negative impact on growth. We also show that the introduction of an energy tax that is recycled in the form of an R&D subsidy may increase growth. We conclude that in order to have energy efficiency growth and output growth under rising real energy prices, a combination of R&D and energy policy is called for.     

Spillovers and the competitive pressure for long-run innovation

This paper discusses the impact of oligopolistic product markets for innovation and growth, highlighting a novel, fundamental role of spillovers. We develop a model of endogenous growth with non-tournament R&D, where spillovers raise the relative R&D efficiency of laggards. A key feature is that the rate of innovation and the market configuration (i.e. the distribution of market shares) are jointly determined. Our results emphasize the role of spillovers in sustaining the competitive pressure that is fundamental for long-run innovation and economic growth.     

Franchise fee, competition and economic growth

This paper introduces the different kinds of franchise contract bargaining into a macroeconomic model and accordingly researches the relationship between competition and economic growth. In Nash bargaining model/vertical integration we find an inverted-U shaped or a monotonically increasing relationship between the competitive degree of the intermediate goods market and economic growth. In bargaining of the right to manage model/vertical non-integration our result shows an inverted-U shaped or a monotonically decreasing relationship between the competitive degree of the intermediate goods market and economic growth. In addition, there is an overall negative relationship between the competitive degree of the final goods market and economic growth. Especially, our interesting findings that the pricing rule for intermediate goods firm depends not only on market power but also bargaining power are more general. Therefore, we can further explain the firms' vertical control strategy.     

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.     

Dynamic efficiency of Cournot and Bertrand competition: input versus output spillovers

We consider the efficiency of Cournot and Bertrand equilibria in a duopoly with substitutable goods where firms invest in process R&D that generates input spillovers. Under Cournot competition firms always invest more in R&D than under Bertrand competition. More importantly, Cournot competition yields lower prices than Bertrand competition when the R&D production process is efficient, when spillovers are substantial, and when goods are not too differentiated. The range of cases for which total surplus under Cournot competition exceeds that under Bertrand competition is even larger as competition over quantities always yields the largest producers’ surplus.     

Research & development and growth: A Bayesian model averaging analysis

We examine the effect of research and development (R&D) on long-term economic growth using the Bayesian model averaging (BMA) to deal rigorously with model uncertainty. Previous empirical studies, which applied BMA, investigated the effect of dozens of regressors on long-term growth, but they did not examine the effect of R&D due to data unavailability. We extend these studies by proposing to capture the investment in R&D by the number of Nobel prizes in science. Using our indicator, the estimates show that R&D exerts a positive effect on long-term growth. This result is robust to many different parameter and model prior structures as well as to alternative definitions of R&D indicator.     

R&D intensity,economic growth and firm-size growth: theory and practice

This article proposes a theoretical knowledge-driven horizontal research and development (R&D) endogenous-growth model to explain, for 10 innovative countries, the co-movement of the respective R&D intensity, economic growth and firm-size growth, by exploring short-medium-run and long-run growth effects. Bearing in mind some recent literature, we improve the R&D technology, by considering that R&D is more labour intensive through time as complexity increases, that the diffusion of designs is affected by coordination, organizational and transportation costs, and that a potential entrant will come up with the right idea is reduced because of the presence of a larger number of entrants. We show that when the economy is not initially in a steady state, it can take a saddle path towards the unique and locally saddle-path stable interior steady state. Both transitional-dynamics and steady-state behaviours of our theoretical model are then consistent with, respectively, the time-series and the cross-sectional evidence.     

Multiple equilibria and global indeterminacy in an endogenous growth model with congestible public goods

This paper extends the findings in Chen and Lee (2007) to show that the use of congestible public goods can produce both local and global indeterminacy in a two‐sector endogenous growth model with productive public services financed by income taxation. Basically, we observe the effects on growth rates by changing parameters, and compare the case of a single steady‐state with the emergence of dual steady‐states, identifying the feasible ways to avoid a possible low‐growth poverty trap. The novelty of our analysis is to detect the presence of global indeterminacy by making use of the Bogdanov‐Takens bifurcation theorem. Some examples are also provided to achieve concrete policy implications.     

The role of diminishing returns in neo-Schumpeterian growth theory

Summary. This paper generalizes Segerstrom [5], a dynamic general equilibrium model of endogenous growth through quality improvements in which innovation and imitation are modeled as the outcomes of research and development (R&D) races. Specific factors introduced into the technologies of both R&D activities achieve diminishing returns to scale in R&D. The comparative-static results of subsidies to R&D activities depend on the degree of diminishing returns to scale in R&D. When there is (is not) a sufficient degree of diminishing returns to R&D, a subsidy to innovative activity increases (decreases) innovative activity. Received: July 8, 1994; revised version: June 9, 1997     

THE MECHANICS OF ECONOMIC GROWTH THROUGH CAPITAL ACCUMULATION AND TECHNOLOGICAL PROGRESS*

This study develops a model wherein capital is used in final goods production and research and development (R&D) activities. This arrangement generates changes of the equilibrium capital allocation corresponding to capital endowment, which engenders a regime change from capital based growth with decreasing returns to R&D based perpetual growth. These two growth phases account for the polarization of economies. The model also engenders multiple equilibria on capital allocation—which emerge during the middle stages of capital accumulation—accounting for leapfrogging and the instability of the economic growth of developing countries with medium capital accumulation.     

Property rights protection and corporate R&D: Evidence from China

Following the recent literature on institutions and economic growth, we examine the effects of property rights protection on corporate R&D. Using a unique 2003 World Bank survey of over 2400 firms in 18 Chinese cities, we obtain the following findings: (1) property rights protection is positively and significantly related to corporate R&D activity (for both process and product R&D); (2) government services and helping hand are conducive to corporate R&D, while informal payments to government officials are not; and (3) government ownership of firms and direct appointment of CEOs are negatively associated with corporate R&D activities. We also find that corporate R&D is positively related to firm size, and access to finance, but negatively related to product market competition and firm age.