Barriers to knowledge spillovers and regional convergence in an evolutionary model

This paper will present a multi-region/multi-country model in which inter-regional knowledge spillovers determine the growth of regions. Key parameters in the model are the learning capability of a region and the rate of knowledge generation (R&D). The intensity of spillovers depends on geographical distance between regions. The model is investigated by means of simulation techniques. What results is a core-periphery situation, the exact form of which depends on the assumed spatial structure. The impact of economic integration is investigated by introducing barriers-to-knowledge-spillovers in the model in the form of borders between countries. Contrary to the popular belief and some economic theories, we find that removing such spillover barriers may result in larger disparity of income levels between regions.     

A resource-based view of Schumpeterian economic dynamics

This paper seeks to offer a theoretical platform where the modern “resource-based view” of the firm might meet with evolutionary economics and the study of entrepreneurship, and with the economics of industrial organization. It does so by proposing the concept of the “resource economy” within which productive resources are produced and exchanged between firms. This is presented as the dual of the mainstream goods and services economy – where the “resource economy” captures the dynamic capital structure of the economy. The paper is concerned to bring out the distinctive principles governing resource dynamics in the resource economy, capturing competitive dynamics in such categories as resource creation, replication, propagation, exchange and leverage; evolutionary dynamics in terms of resource variation, selection and retention; entrepreneurial dynamics in terms of resource recombination and resource imitation, transfer and substitution; and industrial organizational dynamics in terms of resource configuration, resource complementarities and resource trajectories.     

Optimal freeware quality in the presence of network externalities: an evolutionary game theoretical approach

New software products often face difficulty in achieving market penetration. A potential remedy is to offer a freeware version of the software to encourage initial adoption and establish a larger user base for the software, thereby increasing the commercial version's value to adopters in future periods. However, to avoid complete cannibalization of the commercial version, the freeware version's quality must be sufficiently low and the price of the commercial version must not be too high. We model the effect of these two decision variables, price and freeware quality, on the adoption of software using static and evolutionary game theory.     

An evolutionary model of the size distribution of firms

An analytical study of the evolution of the distribution of firm size in an industry is presented. A drift-diffusion model is proposed to express the time-evolution of density of firm size within the industry. The model blends the conventional, more or less static, determinants with the kinds of dynamic considerations introduced by stochastic processes of evolutionary dynamics. The steady-state distribution as well as the dynamic behavior of the model are derived. Parameters in the resulting analytical expressions are then fit to a population of firms in the non-manufacturing service sector. The empirical portion of the paper validates the proposed evolutionary model.     

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     

A dynamic analysis of an endogenous growth model with leisure

Summary. The main goal in this paper is to analyze an economic model of endogenous growth where human capital accumulation acts as the engine propelling economic activity. The added ingredient in our model is that agents derive utility from consumption and leisure, where leisure is defined as the amount of time devoted to those activities augmented by the level of education. Under regular conditions we show that there is a unique globally stable balanced growth path. We also provide a characterization of the behavior of our economic variables along the transition. Received: May 26, 1998; revised version: September 9, 1999     

On the dynamics of an endogenous growth model with learning by doing

Summary. The paper studies the local dynamics of an endogenous growth model with externalities of investment. It is demonstrated that, in case of sustained per capita growth, the competitve economy is characterized by a situation with a unique balanced growth path which is saddle point stable or by a situation with two balanced growth paths. If there are two balanced growth paths, the one with the higher growth rate is a saddle point whereas the path with the lower growth rate is either completely stable, with convergence to a rest point or limit cycle, or completely unstable. In the social optimum the existence of a balanced growth path implies that it is unique and that this path is a saddle point. Received: May 15, 2000; revised version: December 14, 2001     

Schumpeter and the `Schmollerprogramm': integrating theory and history in the analysis of economic development

This essay addresses the historical and institutional aspects of Schumpeter's thought. It suggests that Schumpeter prepared a pluralist research agenda, formulated in accordance with the conceptual perspective of the German Historical School, as presented by major scholars such as Schmoller, Sombart, Spiethoff and Max Weber. Schumpeter's notion of development, with its emphasis on the correspondence of economic and socio-cultural evolution, is therefore to be viewed in the context of the comprehensive Schmollerian approach. Moreover the ethical-evolutionary components of Schmoller's ideas point at the vital role of the German Historical School in the elaboration of a modern evolutionary economics in Schumpeterian terms. The essay concludes that the Schmollerprogramm is going to inspire further developments in Schumpeterian economics, as the integration of theory and history continuously marks the research agenda of evolutionary approaches to economic development.     

The hunt for S-shaped growth paths in technological innovation: a patent study*

Since the works by the business cycle theorists in the 1930s, no attempts have been made to study empirically the long term evolution paths of individual technologies starting with long time series. This is an empirical exploration and confirmation of the now almost assumed image or metaphor of the way technology develops; that it follows an S-shaped growth path which is commonly associated with a similar shaped diffusion function of entrepreneurial activity. The paper also confirms the diversity of technology dynamics and explores how technological cycle takeoffs appear to be clustered within certain historical epochs. The results have implications for our understanding of the evolution paths of individual technologies, and of the evolution of technological systems and waves of innovation. By use of computational statistics, logistic growth functions are fitted to US patent stocks, 1920–1990, at a detailed level of aggregation, including chemical, electrical/electronic, mechanical, transport and non-industrial technologies. Some practical considerations when developing an empirically testable model of innovation cycles are addressed in the paper as well.