Hydrodynamics from kinetic models of conservative economies

Bertram Düring and G. Toscani ()
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G. Toscani: Universita degli studi di Pavia

No 07-06, CoFE Discussion Paper from Center of Finance and Econometrics, University of Konstanz

Abstract: In this paper, we introduce and discuss the passage to hy- drodynamic equations for kinetic models of conservative economies, in which the density of wealth depends on additional parameters, like the propensity to invest. As in kinetic theory of rarefied gases, the closure depends on the knowledge of the homogeneous steady wealth distribution (the Maxwellian) of the underlying kinetic model. The collision operator used here is the Fokker-Planck operator introduced by J.P. Bouchaud and M. Mezard in [4], which has been recently obtained in a suitable asymp- totic of a Boltzmann-like model involving both exchanges between agents and speculative trading by S. Cordier, L. Pareschi and one of the authors [11]. Numerical simulations on the fluid equations are then proposed and analyzed for various laws of variation of the propensity.

Keywords: Wealth and income distributions; Boltzmann equation; hy- drodynamics; Euler equations (search for similar items in EconPapers)
Date: 2007-07-14
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