On Steady Distributions of Kinetic Models of Conservative Economies

By Daniel Matthes, Giuseppe Toscani. 2008

130 citations recorded by the source corpus.

Subfields: Applied Mathematics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/63cd009fe050c5f83d0037a9e3b746ac95886fd6

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In Applied Mathematics

In Statistical and Nonlinear Physics

Citations in the corpus

Colloquium: Statistical mechanics of money, wealth, and income (2009, background): “atriarca, Chakraborti, and Germano, 2006; Patriarca et al., 2005). A more rigorous mathematical treatment of the problem was given by Du¨ring, Matthes, and Toscani (2008); Du¨ring and Toscani (2007); Matthes and Toscani (2008). An interesting matrix formulation of the problem was presented by Gupta ”
Econophysics review: II. Agent-based models (2011, unknown): “Lifetime of orders for simulated data in the Mike and Farmer model compared with the empirical data used for fitting. Reproduced from Mike and Farmer (2008). 1018 A.”
Kinetic models of conservative economies with wealth redistribution (2009, methodology): “The presence of random terms in the trade, introduced by Cordier, Pareschi and one of the authors [11] which destroy the pointwise conservation of wealth, was subsequently shown to be responsible of a robust convergence to a steady distribution with tails [21].”
Econophysics: Empirical facts and agent-based models (2009, unknown): “…Ferrero (2004)), the Boltzmann equation approach (Dragulescu and Yakovenko (2000); Slanina (2004); Repetowicz et al. (2005); Cordier et al. (2005); Matthes and Toscani (2007); Düring and Toscani (2007); Düring et al. (2008)), or Markov chains (Scalas et al. (2006, 2007); Garibaldi et al.…”
Fokker–Planck equations in the modeling of socio-economic phenomena (2017, background): “([81]) essentially shows that the microscopic interaction (2.”