Economic inequality and mobility in kinetic models for social sciences
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Statistical evaluations of the economic mobility of a society are more difficult than measurements of the income distribution, because they require to follow the evolution of the individuals’ income for at least one or two generations. In micro-to-macro theoretical models of economic exchanges based on kinetic equations, the income distribution depends only on the asymptotic equilibrium solutions, while mobility estimates also involve the detailed structure of the transition probabilities of the model, and are thus an important tool for assessing its validity. Empirical data show a remarkably general negative correlation between economic inequality and mobility, whose explanation is still unclear. It is therefore particularly interesting to study this correlation in analytical models. In previous work we investigated the behavior of the Gini inequality index in kinetic models in dependence on several parameters which define the binary interactions and the taxation and redistribution processes: saving propensity, taxation rates gap, tax evasion rate, welfare means-testing etc. Here, we check the correlation of mobility with inequality by analyzing the mobility dependence from the same parameters. According to several numerical solutions, the correlation is confirmed to be negative.
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- 3.P. Brunori, F.H.G. Ferreira, V. Peragine, Policy Research Working Paper Series 6304, the World Bank (2013)Google Scholar
- 4.A. Kirman, Complex Economics: Individual and Collective Rationality (Routledge, London, 2010)Google Scholar
- 5.M. Gallegati, Reconstructing economics: Agent Based Models and Complexity, Conference Paper, Berlin, Paradigm Lost: Rethinking economics and Politics. Available at http://ineteconomics.org/conference/berlin/reconstructing-economics-agent-based-models-and-complexity (2012)
- 6.W.B. Arthur, Complexity Economics: a different framework for economic thought, in: W.B. Arthur, Complexity and the Economy (Oxford University Press, New York, 2014)Google Scholar
- 7.L. Tesfatsion, K.L. Judd (eds.), Handbook of Computational Economics, Volume 2: Agent-based Computational Economics (North-Holland, Amsterdam, 2006)Google Scholar
- 9.S. Sinha, B.K. Chakrabarti, Physics News (Bulletin of the Indian Physical Association) 39, 33 (2009)Google Scholar
- 11.A. Chatterjee, Socio-economic inequalities: a statistical physics perspective, [arXiv:1409.8030v1] (2014)
- 16.M.L. Bertotti, G. Modanese, Microscopic Models for Welfare Measures Addressing a Reduction of Economic Inequality, Complexity, published online, doi: 10.1002/cplx.21669 (2015)Google Scholar