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A Simple Locally Interactive Model of Ergodic and Nonergodic Growth

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Corradi, V
Ianni, A

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Abstract

In this paper we propose a locally interactive model which explains both the cross sectional dynamics as well as the possibility of multiple long run equilibria. Firms can choose between two technologies say 1 and 0; the returns from technology 1 are affected by the number of neighboring firms using it; the returns from technology 0 are independent of neighboring firms technological choices. Durlauf (1993) explains nonergodic growth via strong technological complementarities. By modeling in a different way the transmission of the spillover effects, we show that in presence of technological complementarities of intermediate strength we have either two or infinitely many long run equilibria. The basin of attraction of these equilibria depend on the initial conditions. On the other hand when the technological complementarities are either very weak or very strong then we have a unique long run equilibrium. As for the dynamic behavior, we shall explain the formation of large connected areas, clusters. As the cluster size grows at a rate slower than t, such areas seem to be stationary along the dynamics.

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Paper provided by Economics Division, School of Social Sciences, University of Southampton in its series Discussion Paper Series In Economics And Econometrics with number 0010.

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Date of creation: 01 Jan 2000
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Handle: RePEc:stn:sotoec:0010

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  1. Lee, In Ho & Valentinyi, Akos, 2000. "Noisy Contagion without Mutation," Review of Economic Studies, Blackwell Publishing, vol. 67(1), pages 47-56, January.
  2. Verbrugge, Randal, 2003. "Interactive-Agent Economies: An Elucidative Framework And Survey Of Results," Macroeconomic Dynamics, Cambridge University Press, vol. 7(03), pages 424-472, June. [Downloadable!]
  3. Lawrence Blume, 1993. "The Statistical Mechanics of Best-Response Strategy Revision," Game Theory and Information 9307001, EconWPA, revised 26 Jan 1994. [Downloadable!]
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  4. William A. Brock & Steven N. Durlauf, 2000. "Interactions-Based Models," Working Papers 00-05-028, Santa Fe Institute.
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  5. Jovanovic, Boyan, 1987. "Micro Shocks and Aggregate Risk," The Quarterly Journal of Economics, MIT Press, vol. 102(2), pages 395-409, May. [Downloadable!] (restricted)
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  6. Verbrugge, Randal, 2000. "Risk aversion, learning spillovers, and path-dependent economic growth," Economics Letters, Elsevier, vol. 68(2), pages 197-202, August. [Downloadable!] (restricted)
  7. Russell Cooper & John C. Haltiwanger, 1990. "Inventories and the Propagation of Sectoral Shocks," NBER Working Papers 2425, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  8. Bala, Venkatesh & Sorger, Gerhard, 2001. "A Spatial-Temporal Model of Human Capital Accumulation," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 153-179, January. [Downloadable!] (restricted)
  9. Azariadis, Costas & Drazen, Allan, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 501-26, May. [Downloadable!] (restricted)
  10. Murphy, Kevin M & Shleifer, Andrei & Vishny, Robert W, 1989. "Industrialization and the Big Push," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1003-26, October. [Downloadable!] (restricted)
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  11. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July. [Downloadable!] (restricted)
  12. Cooper, Russell & Haltiwanger, John, 1996. "Evidence on Macroeconomic Complementarities," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 78-93, February. [Downloadable!] (restricted)
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  13. Durlauf, Steven N. & Quah, Danny T., 1999. "The new empirics of economic growth," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 4, pages 235-308 Elsevier. [Downloadable!] (restricted)
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