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dc.contributor.authorDüring, Bertramen_US
dc.contributor.authorMatthes, Danielen_US
dc.contributor.authorToscani, Giuseppeen_US
dc.date.accessioned2009-09-17en_US
dc.date.accessioned2010-05-14T12:00:41Z-
dc.date.available2010-05-14T12:00:41Z-
dc.date.issued2008en_US
dc.identifier.piurn:nbn:de:bsz:352-opus-116742-
dc.identifier.urihttp://hdl.handle.net/10419/32177-
dc.description.abstractKinetic equations modelling the redistribution of wealth in simple market economies is one of the major topics in the field of econophysics. We present a unifying approach to the qualitative study for a large variety of such models, which is based on a moment analysis in the related homogeneous Boltzmann equation, and on the use of suitable metrics for probability measures. In consequence, we are able to classify the most important feature of the steady wealth distribution, namely the fatness of the Pareto tail, and the dynamical stability of the latter in terms of the model parameters. Our results apply e.g. to the market model with risky investments [S. Cordier, L. Pareschi and G. Toscani, J. Stat. Phys. 120, 253 (2005)], and to the model with quenched saving propensities [B.K. Chakrabarti, A. Chatterjee and S.S. Manna, Physica A 335, 155 (2004)]. Also, we present results from numerical experiments that confirm the theoretical predictions.en_US
dc.language.isoengen_US
dc.publisherCoFE Konstanzen_US
dc.relation.ispartofseriesDiscussion paper series // Zentrum für Finanzen und Ökonometrie, Universität Konstanz 2008,03en_US
dc.subject.ddc330en_US
dc.titleKinetic equations modelling wealth redistribution: a comparison of approachesen_US
dc.typeWorking Paperen_US
dc.identifier.ppn608951617en_US
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungen-
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