Geodesic
Explicit equilibria in bilinear kinetic models for socio-economic interactions
Federico Bassetti1 ; Giuseppe Toscani1
1 Department of Mathematics, University of Pavia, via Ferrata 1, Pavia, Italy.
ESAIM. Proceedings, Tome 47 (2014), pp. 1-16.

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Bilinear kinetic models of Maxwell-Boltzmann type are often used to model socio-economic systems composed by agents that undergo binary interactions, which in general obey to some conservation law. Then, the details of the microscopic interaction are such that an equilibrium solution emerges. At difference with the classical Boltzmann equation for elastic gas particles, the analytic form of the equilibria is known only in some particular case. In the present note, we present and discuss the situations in which this equilibrium profile can be explicitly found. Applications to dissipative gases and to wealth redistribution models are presented.
DOI : 10.1051/proc/201447001

Federico Bassetti 1 ; Giuseppe Toscani 1

1 Department of Mathematics, University of Pavia, via Ferrata 1, Pavia, Italy. 
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Federico Bassetti; Giuseppe Toscani. Explicit equilibria in bilinear kinetic models for socio-economic interactions. ESAIM. Proceedings, Tome 47 (2014), pp. 1-16. doi : 10.1051/proc/201447001. http://geodesic.mathdoc.fr/articles/10.1051/proc/201447001/

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