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D. Matthes:
"Kinetic Models in Econophysics";
Hauptvortrag: Topics in Kinetic Theory, Victoria (eingeladen); 29.06.2009 - 03.07.2009.

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 behavior."

Econophysics, wealth distribution, Pareto tails