TY - GEN
T1 - Kinetic Models of Need-Based Transfers
AU - Kayser, K.
AU - Armbruster, Hans
AU - Ringhofer, Christian
N1 - Funding Information:
Acknowledgements We thank Athena Aktipis and Lee Cronk for introducing us to the Osotua NBT concept, and we thank Michael Herty for valuable discussion. K.K. and D.A. gratefully acknowledge support through NSF grant DMS-1515592 and travel support through the KI-Net grant, NSF RNMS grant No. 1107291.
Publisher Copyright:
© 2018, Springer Nature Switzerland AG.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
KW - Kinetic exchange models
KW - Need-based transfers
KW - Welfare
UR - http://www.scopus.com/inward/record.url?scp=85057157910&partnerID=8YFLogxK
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U2 - 10.1007/978-3-319-99719-3_47
DO - 10.1007/978-3-319-99719-3_47
M3 - Conference contribution
AN - SCOPUS:85057157910
SN - 9783319997186
T3 - Springer Proceedings in Mathematics and Statistics
SP - 521
EP - 530
BT - Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference
A2 - Kunze, Herb
A2 - Kilgour, D. Marc
A2 - Makarov, Roman
A2 - Melnik, Roderick
A2 - Wang, Xu
PB - Springer New York LLC
T2 - International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017
Y2 - 20 August 2017 through 25 August 2017
ER -