<div class="csl-bib-body">
<div class="csl-entry">Düring, B., & Matthes, D. (2010). A mathematical theory for wealth distribution. In G. Naldi, L. Pareschi, & G. Toscani (Eds.), <i>Modeling and Simulation in Science, Engineering and Technology</i>. Birkhäuser. https://doi.org/10.1007/978-0-8176-4946-3_4</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/26477
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dc.description.abstract
We review a qualitative mathematical theory of kinetic models for wealth distribution in simple market economies. This theory is a unified approach that covers a wide class of such models which have been proposed in the recent literature on econophysics. Based on the analysis of the underlying homogeneous Boltzmann equation, a qualitative description of the evolution of wealth in the large-time regime is obtained. In particular, the most important features of the steady wealth distribution are classified, namely the fatness of the Pareto tail and the tails' dynamical stability. Most of the applied methods are borrowed from the kinetic theory of rarefied gases. A concise description of the moment hierarchy and suitable metrics for probability measures are employed as key tools.
en
dc.description.sponsorship
Deutsche Forschungsgemeinschaft
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dc.description.sponsorship
OeAD Österr.Austauschdienst GmbH Geschäftsstelle Wien
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dc.publisher
Birkhäuser
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dc.subject
Boltzmann equation
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dc.subject
econophysics
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dc.subject
Wealth distribution
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dc.title
A mathematical theory for wealth distribution
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dc.type
Buchbeitrag
de
dc.type
Book Contribution
en
dc.relation.publication
Modeling and Simulation in Science, Engineering and Technology
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dc.relation.isbn
978-0-8176-4946-3
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dc.relation.doi
10.1007/978-0-8176-4946-3
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dc.relation.issn
2164-3679
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dc.type.category
Edited Volume Contribution
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dc.relation.eissn
2164-3725
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dc.publisher.place
Boston
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tuw.booktitle
Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences
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tuw.book.ispartofseries
Modeling and Simulation in Science, Engineering and Technology
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tuw.relation.publisher
Birkhäuser
-
tuw.relation.publisherplace
Boston, MA
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tuw.project.title
Numerics and modeling of nonlinear partial differential equations for the description of credit and price risks
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tuw.project.title
Kinetic wealth distribution models and diffusive limit equations
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tuw.publication.orgunit
E101-01 - Forschungsbereich Analysis
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tuw.publisher.doi
10.1007/978-0-8176-4946-3_4
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dc.description.numberOfPages
33
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wb.sciencebranch
Mathematik, Informatik
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wb.sciencebranch.oefos
11
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wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
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item.openairetype
book part
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item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_3248
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
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crisitem.author.parentorg
E100 - Fakultät für Mathematik und Geoinformation
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crisitem.author.parentorg
E100 - Fakultät für Mathematik und Geoinformation
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crisitem.project.funder
Deutsche Forschungsgemeinschaft
-
crisitem.project.funder
OeAD Österr.Austauschdienst GmbH Geschäftsstelle Wien
