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Could Noise Spectra of Strange Attractors Better Explained Wealth and Income Inequalities? Evidence from the S&P-500 Index

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  • Dominique, C-Rene

Abstract

SUMMARY: Inequity in wealth and income distributions is ubiquitous and persistent in markets economies. Economists have long suspected that this might be due to the workings of a power law. But studies in financial economics have focused mainly on tail exponent while attempting to recover the Pareto and Zipf’s laws. The estimation of tail exponents from log-log plots, as in stock market returns, produces biased estimators and has little impact on policy. This paper argues that economic time series are output signals of a multifractal process driven by strange attractors. Consequently, estimating noise spectra thrown-up by strange attractors stands to produce a much richer set of information, including the lower and upper bounds of unequal income distribution.

Suggested Citation

  • Dominique, C-Rene, 2018. "Could Noise Spectra of Strange Attractors Better Explained Wealth and Income Inequalities? Evidence from the S&P-500 Index," MPRA Paper 84182, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:84182
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    References listed on IDEAS

    as
    1. Parameswaran Gopikrishnan & Vasiliki Plerou & Xavier Gabaix & H. Eugene Stanley, 2000. "Statistical Properties of Share Volume Traded in Financial Markets," Papers cond-mat/0008113, arXiv.org.
    2. C-René DOMINIQUE, 2017. "On The “Scientificity” Of Microeconomics: Individual Demand, And Exchange-Value Determination," Theoretical and Practical Research in the Economic Fields, ASERS Publishing, vol. 8(2), pages 105-110.
    3. Dominique, C-Rene & Rivera-Solis, Luis Eduardo, 2012. "Short-term Dependence in Time Series as an Index of Complexity: Example from the S&P-500 Index," MPRA Paper 41408, University Library of Munich, Germany.
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    1. Dominique, C-Rene, 2018. "Assessing the Entropies of the Feigenbaum Strange Attractor and the S&P-500 Index as Factors Driving the Production of Information in Market Economies," MPRA Paper 89873, University Library of Munich, Germany, revised 05 Nov 2018.

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    More about this item

    Keywords

    noise spectra; singularity spectrum; correlation dimension; income distribution; fractal attractor; scale exponent.;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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