Marshallian Externalities And The Emergence And Spatial Stability Of Technological Enclaves

Technological dualism often is found to be associated with the geographical clustering of firms that use the same techniques. To shed further light on these localization phenomena, we analyze the long-run dynamic behavior of a system in which firms' choices among alternative production methods (each of which requires a technique-specific input) are influenced by both firm-specific random shocks and Marshallian 'industrial neighborhood' effects. The latter are local factor market externalities that tend to lower the relative marginal costs d those inputs that are used most extensively in the immediate locale. The model developed here focuses on labor market externalities affecting the supply conditions for workers with technology-specific skills, and their effect on the choices made by producers at various sites whose choice of technique is subject to periodic revisions. A special structure familiar in the applied theory of Markov random fields, the stochastic Ising model. provides a reduced-form representation of this dynamic spatial system. The general properties of models of this type and their application in economics are considered. Discrete time numerical simulations of the behavior of an ensemble of firms (located at the nodes of a finite lattice formed on a two-dimensional (orus) shows that positive neighborhood externalities effects do not necessarily result in the uniquitous diffusion of one of the two available technologies. Instead. this system exhibits a spatially localized form of 'technological dualism," in which at least two technological enclaves emerge and undergo path-dependent evolution. The temporal durations of these spatial patterns in technology adoption are affected by parameters of the Ising model that can be given a straightforward economic interpretation

[1]  P. Stoneman,et al.  The Economic Analysis of Technological Change , 1983 .

[2]  Robin Cowan,et al.  Network Structure and the Diffusion of Knowledge , 2004 .

[3]  Jean-Michel Dalle,et al.  Heterogeneity vs. externalities in technological competition: A tale of possible technological landscapes , 1997 .

[4]  Bythell,et al.  The Handloom Weavers , 1969 .

[5]  Moises Syrquin,et al.  Patterns of Development, 1950-1970 , 1975 .

[6]  W. Weidlich,et al.  Concepts and Models of a Quantitative Sociology , 1983 .

[7]  H. Föllmer Random economies with many interacting agents , 1974 .

[8]  E. Rogers Diffusion of Innovations , 1962 .

[9]  Lawrence A. Brown,et al.  Innovation Diffusion: A New Perspective , 1984 .

[10]  Z. Griliches Hybrid Corn and the Economics of Innovation. , 1960, Science.

[11]  P. Krugman Geography and Trade , 1992 .

[12]  Nicholas P. Sargen "Tractorization" in the United States and its relevance for the developing countries. , 1979 .

[13]  Z. Griliches HYBRID CORN: AN EXPLORATION IN THE ECONOMIC OF TECHNOLOGICAL CHANGE , 1957 .

[14]  S. Kuznets Economic Growth of Nations: Total Output and Production Structure , 1971 .

[15]  Giovanni Dosi,et al.  The Research on Innovation Diffusion: An Assessment , 1991 .

[16]  Warren C. Whatley Southern Agrarian Labor Contracts as Impediments to Cotton Mechanization , 1987, The Journal of Economic History.

[17]  Paul A. David,et al.  Marshallian factor market externalities and the dynamics of industrial localization , 1990 .

[18]  B. Allen A Stochastic Interactive Model for the Diffusion of Information , 1982 .

[19]  Everett M. Rogers,et al.  Communication Networks: Toward a New Paradigm for Research , 1980 .

[20]  Robert B. Griffiths,et al.  Peierls Proof of Spontaneous Magnetization in a Two-Dimensional Ising Ferromagnet , 1964 .

[21]  P. Krugman,et al.  A Dynamic Spatial Model , 1992 .

[22]  M. Piore,et al.  Dualism and Discontinuity in Industrial Societies , 1981 .

[23]  J. Laurie Snell,et al.  Markov Random Fields and Their Applications , 1980 .

[24]  R. Glauber Time‐Dependent Statistics of the Ising Model , 1963 .

[25]  L. Onsager Crystal statistics. I. A two-dimensional model with an order-disorder transition , 1944 .

[26]  Beth E Allen Some Stochastic Processes of Interdependent Demand and Technological Diffusion of an Innovation Exhibiting Externalities Among Adopters , 1982 .

[27]  T. Liggett Interacting Particle Systems , 1985 .

[28]  E. Ising Beitrag zur Theorie des Ferromagnetismus , 1925 .

[29]  Douglas J. Puffert The Economics of Spatial Network Externalities and the Dynamics of Railway Gauge Standardization , 1992, The Journal of Economic History.

[30]  Jean-Michel Dalle,et al.  Dynamiques d'adoption, coordination et diversité : la diffusion des standards technologiques. , 1995, Revue économique.

[31]  R. Peierls On Ising's model of ferromagnetism , 1936, Mathematical Proceedings of the Cambridge Philosophical Society.