Econophysics of Wealth Distributions: Econophys-Kolkata I by Arnab Chatterjee, Sudhakar Yarlagadda, Bikas K. Chakrabarti PDF

By Arnab Chatterjee, Sudhakar Yarlagadda, Bikas K. Chakrabarti

ISBN-10: 8847003296

ISBN-13: 9788847003293

We know the difficult truth: neither wealth nor source of revenue is ever uniform for us all. Justified or now not, they're inconsistently disbursed; few are wealthy and lots of are negative! Investigations for greater than hundred years and the new availability of the source of revenue distribution facts within the web (made on hand by way of the finance ministries of varied international locations; from the tax go back information of the source of revenue tax departments) have published a few extraordinary good points. regardless of many modifications in tradition, historical past, language and, to a point, the commercial regulations in several nations, the source of revenue distribution is obvious to fol­ low a selected common trend. So does the wealth distribution. Barring an preliminary upward thrust in inhabitants with source of revenue (or wealth; for the destitutes), the inhabitants decreases both exponentially or in a log-normal means for the ma­ jority of 'middle source of revenue' team, and it will definitely decreases following an influence legislation (Pareto legislation, following Vilfredo Pareto's remark in 1896) for the wealthy­ est 5-10 % of the inhabitants! This seems an common characteristic - legitimate for many of the international locations and civilizations; will be in historic Egypt besides! Econophysicists attempted to view this as a normal legislation for a statistical ma- body-dynamical industry method, analogous to gases, drinks or solids: classical or quantum.

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Under the condition of detailed-balance, Gibrat's law implies Pareto's law (but not vice versa). Growth-rate distribution has a non-trivial relation between its positive and negative growth sides through Pareto index. The distribution must have a cusp whose shape is related to the value of Pareto index. Power-law, detailed-balance and Gibrat's law break down according to abrupt change in risky asset market, such as Japanese "bubble" collapse of real estate and stock. For firm size in non-power-law regime corresponding to small and midsize firms, Gibrat's law does not hold.

E 66:057104 29. Dragulescu AA (2002) Ph. D. Thesis, Sec. II H, cond-mat/0307341. jp Summary. By employing exhaustive lists of personal income and firms, we show that the upper-tail of the distribution of income and firm size has power-law (ParetoZipf law), and that in this region their growth rate is independent of the initial value of income or size (Gibrat's law of proportionate effect). In addition, detailed balance holds in the power-law region; the empirical probability for an individual (a firm) to change its income (size) from a value to another is statistically the same as that for its reverse process in the ensemble.

5 (b)). It is expected that asymmetric behavior of price fluctuations in those risky assets and the accompanying increase in high-income persons cause the breakdown of detailed-balance and/or the statistical independence, which necessarily invalidates Pareto's law. This can be verified in Fig. 6 showing the breakdown of Gibrat's law. By statistical test [11], the null hypothesis Pi2(%i,X2) = P\2{%2,%\) can be rejected for the pair of 1991 and 1992, but cannot be rejected for the pairs of 1992 and 1993, and of 1997 anf 1998 with significance level 95%.

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Econophysics of Wealth Distributions: Econophys-Kolkata I (New Economic Windows) by Arnab Chatterjee, Sudhakar Yarlagadda, Bikas K. Chakrabarti

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