The European Physical Journal Special Topics

, Volume 225, Issue 10, pp 1945–1958 | Cite as

Economic inequality and mobility in kinetic models for social sciences

  • Maria Letizia BertottiEmail author
  • Giovanni Modanese
Regular Article Network Economics
Part of the following topical collections:
  1. Complex, Inter-networked Economic and Social Systems


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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© EDP Sciences and Springer 2016

Authors and Affiliations

  1. 1.Faculty of Science and Technology, Free University of Bozen-BolzanoBolzanoItaly

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