Kinetic Models of Need-Based Transfers

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

1 Citation (Scopus)

Abstract

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
Pages521-530
Number of pages10
Volume259
ISBN (Print)9783319997186
DOIs
StatePublished - Jan 1 2018
EventInternational conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017 - Waterloo, Canada
Duration: Aug 20 2017Aug 25 2017

Other

OtherInternational conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017
CountryCanada
CityWaterloo
Period8/20/178/25/17

Fingerprint

Kinetic Model
Welfare
Redistribution
Wealth Distribution
Binary Forms
Ludwig Boltzmann
Animals
Kinetics
Vary
Binary
Model

Keywords

  • Kinetic exchange models
  • Need-based transfers
  • Welfare

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Kayser, K., Armbruster, H., & Ringhofer, C. (2018). Kinetic Models of Need-Based Transfers. In H. Kunze, D. M. Kilgour, R. Makarov, R. Melnik, & X. Wang (Eds.), Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference (Vol. 259, pp. 521-530). Springer New York LLC. https://doi.org/10.1007/978-3-319-99719-3_47

Kinetic Models of Need-Based Transfers. / Kayser, K.; Armbruster, Hans; Ringhofer, Christian.

Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. ed. / Herb Kunze; D. Marc Kilgour; Roman Makarov; Roderick Melnik; Xu Wang. Vol. 259 Springer New York LLC, 2018. p. 521-530.

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

Kayser, K, Armbruster, H & Ringhofer, C 2018, Kinetic Models of Need-Based Transfers. in H Kunze, DM Kilgour, R Makarov, R Melnik & X Wang (eds), Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. vol. 259, Springer New York LLC, pp. 521-530, International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017, Waterloo, Canada, 8/20/17. https://doi.org/10.1007/978-3-319-99719-3_47
Kayser K, Armbruster H, Ringhofer C. Kinetic Models of Need-Based Transfers. In Kunze H, Kilgour DM, Makarov R, Melnik R, Wang X, editors, Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. Vol. 259. Springer New York LLC. 2018. p. 521-530 https://doi.org/10.1007/978-3-319-99719-3_47
Kayser, K. ; Armbruster, Hans ; Ringhofer, Christian. / Kinetic Models of Need-Based Transfers. Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. editor / Herb Kunze ; D. Marc Kilgour ; Roman Makarov ; Roderick Melnik ; Xu Wang. Vol. 259 Springer New York LLC, 2018. pp. 521-530
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