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Stochastic Convergence in Regional Economic Activity

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DOI: 10.4236/jmf.2011.13016    4,012 Downloads   7,623 Views   Citations
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ABSTRACT

A stochastic model is presented, based on a double process of temporal drift and random disturbance, to fit the evolution of cross-country distribution of income and economic activity. Instead of assuming a steady state as is standard practice, a long run stationary equilibrium distribution is hypothesized, around which economic activity fluctuates. An empirical application comparing dynamics of growth in Asia and Europe tests the validity of the proposed method. In particular, results point out that the distribution of income and economic activity is approaching a long run equilibrium at a faster rate in the case of Asia, and that the dispersion of the distribution is shrinking over time above all in the case of Europe. Main implications are supportive of the convergence hypothesis, and suggest that diffusion may be a potential technique for the analysis of growth dynamics.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

F. Hashemi, "Stochastic Convergence in Regional Economic Activity," Journal of Mathematical Finance, Vol. 1 No. 3, 2011, pp. 125-131. doi: 10.4236/jmf.2011.13016.

References

[1] R. Lucas, “Trade and the Diffusion of the Industrial Re- volution,” American Economic Journal: Macroeconom- ics, Vol. 1, No. 1, 2009, pp. 1-25.
[2] T. Swan, “Economic Growth and Capital Accumulation,” Economic Record, Vol. 32, No. 2, 1956, pp. 334-361. doi:10.1111/j.1475-4932.1956.tb00434.x
[3] R. Solow, “A Contribution to the Theory of Economic Growth,” Quarterly Journal of Economics, Vol. 70, No. 1, 1956, pp. 65-94. doi:10.2307/1884513
[4] P. Romer, “Endogenous Technological Change,” The Journal of Political Economy, Vol. 98, No. 5, 1990, pp. S71-S102. doi:10.1086/261725
[5] P. Aghion and P. Howitt, “Endogenous Growth Theory,” MIT Press, Cambridge, 1998.
[6] R. Barro and X. Sala-i-Martin, “Technological Diffusion, Convergence, and Growth,” Journal of Economic Growth, Vol. 2, No. 1, 1997, p. 126. doi:10.1023/A:1009746629269
[7] W. Baumol, “Productivity Growth, Convergence, and Welfare: What the Long-Run Data Show,” The American Economic Review, Vol. 76, No. 5, 1986, pp. 1072-1085
[8] R. Barro, “Economic Growth in a Cross Section of Countries,” Quarterly Journal of Economics, Vol. 106, No. 2, 1991, pp. 407-443. doi:10.2307/2937943
[9] G. Mankiw, D. Romer and D. Weil, ’A Contribution to the Empirics of Economic Growth,” Quarterly Journal of Economics, Vol. 107, No. 2, 1992, pp. 407-437. doi:10.2307/2118477
[10] D. Levine and S. Modica, “Anti-Malthus: Evolution, Population, and the Maximization of Free Resources,” WUSTL Working Paper, 2011.
[11] D. Levine, “Neuroeconomics,” International Review of Economics, Vol. 58, No. 3, 2011, pp. 287-305. doi:10.1007/s12232-011-0128-7
[12] J. Hirshleifer, “Economics from a Biological Viewpoint,” Journal of Law & Economics, Vol. 20, No. 1, 1977, pp. 1-52. doi:10.1086/466891
[13] J. Hirshleifer, “Competition, Cooperation, and Conflict in Economics and Biology,” American Economic Review, Vol. 68, No. 2, 1978, pp. 238-243.
[14] Freidlin, “Annals of Mathematics Study,” Princeton University Press, Princeton, 1985.
[15] M.-O. Hongler, H. Soner and L. Streit, “Stochastic Control for a class of Random Evolution Models,” Applied Mathematics and Optimization, Vol. 49, No. 2, 2004, pp. 113-121.
[16] O. Besson and G. de Montmollin, ’Space-Time Integrated Least Squares: A Time-Marching Approach,” International Journal for Numerical Methods in Fluids, Vol. 44, No. 5, 2004, pp. 525-543. doi:10.1002/fld.655
[17] F. Hashemi, “A Dynamic Model of Size Distribution of Firms Applied to U.S. Biotechnology and Trucking Industries,” Small Business Economics, Vol. 21, No. 1, 2003, pp. 27-36. doi:10.1023/A:1024433203253
[18] F. Hashemi, “An Evolutionary Model of the Size Distribution of Firms,” Journal of Evolutionary Economics, Vol. 10, No. 5, 2000, pp. 507-521. doi:10.1007/s001910000048
[19] F. Hashemi, “East Asian Economic Growth—An Evolutionary Perspective,” Journal of Service Science and Management, Vol. 4, pp. 280-283.

  
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