Angle, John (2011): Socio-Economic Analogues of the Gas Laws (Boyle's and Charles'). Published in: Proceedings of the 2011 Joint Statistical Meetings (19 December 2011): pp. 1375-1389.
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Most social scientists would reject the possibility of socio-economic analogues of the gas laws (Boyle’s and Charles’) on verisimilitude grounds. The gas laws relate the variables temperature, pressure, and volume. The possibility of socio-economic analogues of the gas laws and their variables is suggested by the similarity of two mathematical models. One model is the Inequality Process (IP), a particle system model that explains a wide scope of socio-economic phenomena. The IP is isomorphic to the particle system of the Kinetic Theory of Gases (KTG) up to two differences. The KTG is the micro-level explanation of the gas laws. Given a map from the KTG into the IP, the IP implies empirically valid socio-economic analogues of Boyle’s and Charles’ Laws.
|Item Type:||MPRA Paper|
|Original Title:||Socio-Economic Analogues of the Gas Laws (Boyle's and Charles')|
|Keywords:||Boyle’s Law; Charles’ Law; econophysics; income and wealth distribution; Inequality Process; Kinetic Theory of Gases|
|Subjects:||D - Microeconomics > D3 - Distribution > D31 - Personal Income, Wealth, and Their Distributions
C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods
|Depositing User:||John Angle|
|Date Deposited:||18 Jul 2012 10:23|
|Last Modified:||26 May 2016 00:30|
Angle, John, François Nielsen, and Enrico Scalas. 2009. “The Kuznets Curve and the Inequality Process”. Pp. 125-138. In Banasri Basu, Bikas K. Chakrabarti, Satya R. Chakravarty, Kausik Gangopadhyay, editors, Econophysics and Economics of Games, Social Choices and Quantitative Techniques. Milan: Springer.
Angle, John. 2007a. “The Macro Model of the Inequality Process and The Surging Relative Frequency of Large Wage Incomes”. Pp. 171-196 in A. Chatterjee and B.K. Chakrabarti, (eds.), The Econophysics of Markets and Networks Milan: Springer.
_____. 2007b. “A mathematical sociologist’s tribute to Comte: sociology as science”. Footnotes [monthly newsletter of the American Sociological Association] 35(No. 2, February): 10,11. [on-line at: http://www2.asanet.org/footnotes/feb07/fn9.html .
_____. 2006a (received 8/05; electronic publication: 12/05; hardcopy publication 7/06). “The Inequality Process as a wealth maximizing algorithm”’. Physica A: Statistical Mechanics and Its Applications 367:388-414 (DOI information: 10.1016/j.physa.2005.11.017).
_____. 2006b. “A comment on Gallegati et al.’s “Worrying Trends in Econophysics” “. Pp. 250-253 in A. Chatterjee and B.K. Chakrabarti, (eds.), The Econophysics of Stocks and Other Markets . Milan: Springer.
_____. 2003a. “The dynamics of the distribution of wage and salary income in the nonmetropolitan U.S.”. Estadistica.55: 59-93.
_____. 2003b. “Inequality Process, The”. An entry in T. Liao, et al., (eds.), The Encyclopedia of Social Science Research Methods. Volume 2: 488-490. Thousand Oaks, CA: Sage.
_____. 2002. "The statistical signature of pervasive competition on wages and salaries". Journal of Mathematical Sociology. 26:217-270.
_____. 1996. "How the gamma law of income distribution appears invariant under aggregation". Journal of Mathematical Sociology. 21:325-358.
_____, 1993. "Deriving the size distribution of personal wealth from 'the rich get richer, the poor get poorer'". Journal of Mathematical Sociology 18:27-46.
_____, 1992. "The Inequality Process and the distribution of income to blacks and whites". Journal of Mathematical Sociology 17:77 98.
_____. 1990. "A stochastic interacting particle system model of the size distribution of wealth and income." 1990 Proceedings of the American Statistical Association, Social Statistics Section. Pp. 279 284. Alexandria, VA: American Statistical Association.
_____, 1986. "The surplus theory of social stratification and the size distribution of Personal Wealth." Social Forces 65:293 326.
_____. 1983. "The surplus theory of social stratification and the size distribution of Personal Wealth." 1983 Proceedings of the American Statistical Association, Social Statistics Section. Pp. 395 400. Alexandria, VA: American Statistical Association.
Dragulescu, A. and V. Yakovenko. 2000. “Statistical mechanics of money”. European Physics Journal B 17: 723-729.
Feynman, Richard, Robert Leighton, and Matthew Sands. 1963. The Feynman Lectures on Physics. New York: Addison-Wesley. Fischer-Cripps, A.C. 2003. The Physics Companion. Philadelphia: Institute of Physics Publishing.
Gyftopoulos, Elias, and Gian Paolo Beretta. 2005. Thermodynamics: Foundations and Applications. Mineola, New York: Dover.
Owen, David. 1984. A First Course in the Mathematical Foundations of Thermodynamics. New York: Springer.
Thieme, Horst. 2003. Mathematics in Population Biology. Princeton, NJ: Princeton University Press.
Whitney, Charles. 1990. Random Processes in Physical Systems. New York: Wiley Interscience.