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D. Matthes:
"Distribution of wealth in market economies: A kinetic approach";
Hauptvortrag: ICMS Workshop "Kinetic and Mean-field models in the Socio-Economic Sciences", Edinburgh (eingeladen); 27.08.2009 - 31.08.2009.

siehe engl. Abstract

Kinetic equations model the redistribution of energy and momentum in an ensemble of particles due to binary collisions. The Boltzmann equation, where the collisions are taken literally, i.e., particles interact according to the laws of classical mechanics, provides one possible interpretation. Recently, various alternative interpretations have become popular. In this talk, we are concerned with the econophysics approach, where particles are thought of as interacting agents in a closed economy, the particle energy is identified with an agent's wealth, and the binary "collisions" are trades, in which wealth is exchanged according to certain laws, which obviously differ from those of classical mechanics. In particular, some randomness is involved, which corresponds to gains or losses due to risky investments.

I intend to provide an overview on the recently obtained analytical results: existence and uniqueness of transient and stationary solutions, the creation of Pareto tails and the phenomenon of wealth condensation, the regularity of solutions and their equilibration behaviour. (Joint work with Giuseppe Toscani, University of Pavia, Italy and Bertram Duering, Vienna University of Technology, Austria)

Econophysics, wealth distribution, Pareto tails