Kafri, Oded (2008): Sociological and Economic Inequality and the Second Law.
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Abstract
There are two fair ways to distribute particles in boxes. The first one is the Casino’s way, namely an equal chance to any box. The second one is the thermodynamic way, namely an equal chance to any different configuration of particles and boxes. The second way, calculated here, yields an uneven distribution of the particles in the boxes. It is shown that this distribution fits well to sociological phenomena, such as to the distribution of votes in polls and the distribution of wealth. This distribution yields the Benford law (the distribution of digits in numerical data), as a private case.
Item Type: | MPRA Paper |
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Original Title: | Sociological and Economic Inequality and the Second Law |
Language: | English |
Keywords: | wealth distribution ; Power law; Zipf law;Thermodynamics |
Subjects: | D - Microeconomics > D6 - Welfare Economics > D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C46 - Specific Distributions ; Specific Statistics A - General Economics and Teaching > A1 - General Economics > A12 - Relation of Economics to Other Disciplines A - General Economics and Teaching > A1 - General Economics > A14 - Sociology of Economics |
Item ID: | 9175 |
Depositing User: | Oded Kafri |
Date Deposited: | 17 Jun 2008 14:02 |
Last Modified: | 28 Sep 2019 04:35 |
References: | 1. 1.Per Bak, "How Nature Works: The science of self-organized criticality", Springer-Verlag, New York, (1996). 2. M. E. Newman "Power-law, Pareto Distribution and Zipf's law" arxiv:0412,00421; http://www.nslij-genetics.org/wli/zipf/index.html 3. G. Troll and P. Beim Graben, "Zipf's law is not a consequence of the central limit theorem", Phys. Rev. E,: 57(2)1347(1998). 4. R. Gunther, et.al, "Zipf's law and the effect of ranking on probability distributions", International Journal of Theoretical Physics, 35(2) 395 (1996). 5. F. Benford "The law of anomalous numbers" Proc. Amer. Phil. Soc. 78,551 (1938) 6. T. P. Hill "The first digit phenomenon" American Scientist 4, 358(1986) 7. T. P. Hill "A statistical derivation of the significant-digit law" Statistical Science 10 354 (1996) 8. M. Planck "On the Law of Distribution of Energy in the Normal Spectrum" Annalen der Physik 4 553 (1901) 9. http://dbhs.wvusd.k12.ca.us/webdocs/Chem-History/Planck-1901/Planck-1901.html 10. J. Kestin, ed. "The Second Law of Thermodynamics" Dowden, Hutchinson and RossStroudsburg, pp 312 (1976) 11. http://www.globes.co.il 12. O. Kafri "The second Law as a Cause of the Evolution" arxiv:0711,4507 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/9175 |