Parrinello, Sergio and Fujimoto, Takao (1995): The transfer of statistical equilibrium from physics to economics.

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Abstract
Two applications of the concept of statistical equilibrium, taken from statistical mechanics, are compared: a simple model of a pure exchange economy, constructed as an alternative to a walrasian exchange equilibrium, and a simple model of an industry, in which statistical equilibrium is used as a complement to the classical long period equilibrium. The postulate of equal probability of all possible microstates is critically reexamined. Equal probabilities are deduced as a steady state of linear and nonlinear Markov chains. S. Parrinello wrote the first draft, presented at the “Conference Growth, Unemployment and Distribution: alternative approaches”, (New School for Social Research, New York, March 1995) and published as a Working Paper of the Dipartimento di Economia Pubblica, Università "La Sapienza", Roma (July, 1995). Later T. Fujimoto added section 4 together with Appendix II. Abridged Italian version: S. Parrinello, "Equilibri Statistici e Nuovi Microfondamenti della Macroeconomia", in Incertezza, Moneta, Aspettative ed Equilibrio: saggi in onore di Fausto Vicarelli, a cura di Claudio Gnesutta, Il Mulino, Bologna, 1996.
Item Type:  MPRA Paper 

Original Title:  The transfer of statistical equilibrium from physics to economics 
Language:  English 
Keywords:  Statistical equilibrium; thermodynamics; industrial economics 
Subjects:  ?? C16 ?? A  General Economics and Teaching > A1  General Economics > A12  Relation of Economics to Other Disciplines B  History of Economic Thought, Methodology, and Heterodox Approaches > B1  History of Economic Thought through 1925 > B16  Quantitative and Mathematical 
Item ID:  30830 
Depositing User:  Sergio Parrinello 
Date Deposited:  10. May 2011 15:21 
Last Modified:  14. Apr 2015 17:57 
References:  Brown, A.F. (1967) Statistical Physics, Edinburgh at the University Press. Champernowne, D.G. (1953) "A Model of Income Distribution", Economic Journal 63, June, 31851. Farjoun, E. and M. Machover (1983), Laws of Chaos, a probabilistic approach to political economy ,Verso, London. Fast, J.D. (1970), Entropy, MacMillan, Philips Technical Library,1970. Feller, W. (1970), Introduction to Probability Theory and its Applications, Vol. I, 3rd Edition, Wiley, N.Y.. Foley, D. (1991) Minimum Entropy Exchange Equilibrium, Working paper 9202,Columbia University. Foley, D. (1994) "A Statistical Equilibrium Theory of Markets”, Journal of Economic Theory, April 1994. Foley, D. (1996) “Statistical equilibrium in a simple labor market”. Metroeconomica, 47(2):125–147, June 1996. Fujimoto, T. and U. Krause (1985) "Strong Ergodicity for Strictly Increasing Nonlinear Operators" , Linear Algebra and its Applications, Vol.7l. Fujimoto, T. and U. Krause (1994) "Stable Inhomogeneous Iterations of Nonlinear Positive Operators on Banach Spaces", SIAM Journal on Mathematical Analysis, Vol.25 (4), July, pp.ll951202. Gibrat, R. 1931. Les inegalités économiques. Paris: Recueil Sirey. Hollinger, H. B. and M. Z. Zenzen (1985) The Nature of Ineversibility, D.Reidel Publ. Co.,'Dordrecht. Newman, P. and J.N. Wolf (1961) "A Model for the LongRun Theory of Value", Review of Economic Studies,196l, 29, pp.5l{1. Parrinello, S. (1990) "Some Reflexions on Classical Equilihhru Elcpectations and Random Dishrbances", Political Economy,Vol.6, No l2. Seneta, E. (1973) Nonnegatlve Matrices: an inîroduction to theory and applications,G. Allen & Unwin Simon" H. and C. Bonid (1958) "The Size Distibution ofBnsiness firms" Amerìcan Economic Review, 48, September, 60717. Steindl, J. (1962) Random Processes and the Growth of Firms; London: Griffith. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/30830 