Kinetic Models of Need-Based Transfers

K. Kayser, Hans Armbruster, Christian Ringhofer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


Kinetic exchange models of markets utilize microscopic binary descriptions of wealth transfers to derive a Boltzmann-like equation describing the evolution of the corresponding wealth distribution. We develop such a model to describe a binary form of welfare called need-based transfer (NBT), inspired by the gift-giving of cattle practiced among the Maasai of East Africa. Variants of such welfare schemes can be attributed to other human and animal communities. Specifically, we consider NBTs relative to a given welfare threshold such that individuals with surplus give to individuals with need in order to preserve the recipient’s continued viable participation in the economy. Our NBT kinetic model considers redistribution rules parameterized to vary between regressive and progressive redistribution.

Original languageEnglish (US)
Title of host publicationRecent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference
EditorsHerb Kunze, D. Marc Kilgour, Roman Makarov, Roderick Melnik, Xu Wang
PublisherSpringer New York LLC
Number of pages10
ISBN (Print)9783319997186
StatePublished - 2018
EventInternational conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017 - Waterloo, Canada
Duration: Aug 20 2017Aug 25 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017


OtherInternational conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017


  • Kinetic exchange models
  • Need-based transfers
  • Welfare

ASJC Scopus subject areas

  • Mathematics(all)


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