The European Physical Journal Special Topics

, Volume 225, Issue 10, pp 1959–1984

κ-generalized models of income and wealth distributions: A survey

  • Fabio Clementi
  • Mauro Gallegati
  • Giorgio Kaniadakis
  • Simone Landini
Review Network Economics

DOI: 10.1140/epjst/e2016-60014-2

Cite this article as:
Clementi, F., Gallegati, M., Kaniadakis, G. et al. Eur. Phys. J. Spec. Top. (2016) 225: 1959. doi:10.1140/epjst/e2016-60014-2
Part of the following topical collections:
  1. Complex, Inter-networked Economic and Social Systems


The paper provides a survey of results related to the “κ-generalized distribution”, a statistical model for the size distribution of income and wealth. Topics include, among others, discussion of basic analytical properties, interrelations with other statistical distributions as well as aspects that are of special interest in the income distribution field, such as the Gini index and the Lorenz curve. An extension of the basic model that is most able to accommodate the special features of wealth data is also reviewed. The survey of empirical applications given in this paper shows the κ-generalized models of income and wealth to be in excellent agreement with the observed data in many cases.

Copyright information

© EDP Sciences and Springer 2016

Authors and Affiliations

  • Fabio Clementi
    • 1
  • Mauro Gallegati
    • 2
  • Giorgio Kaniadakis
    • 3
  • Simone Landini
    • 4
  1. 1.Dipartimento di Scienze Politiche, della Comunicazione e delle Relazioni Internazionali, Università degli Studi di MacerataMacerataItaly
  2. 2.Dipartimento di Scienze Economiche e Sociali, Università Politecnica delle MarcheAnconaItaly
  3. 3.Dipartimento Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24TorinoItaly
  4. 4.IRES Piemonte, Istituto di Ricerche Economico Sociali del PiemonteTorinoItaly

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