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Open AccessArticle

Modeling Asymmetric Interactions in Economy

1
Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
2
Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-308 Gdańsk, Poland
*
Author to whom correspondence should be addressed.
The authors contributed equally to this work.
Mathematics 2020, 8(4), 523; https://doi.org/10.3390/math8040523
Received: 3 March 2020 / Revised: 26 March 2020 / Accepted: 28 March 2020 / Published: 3 April 2020
(This article belongs to the Special Issue Mathematical Modeling of Socio-Economic Systems)
We consider a general nonlinear kinetic type equation that can describe the time evolution of a variable related to an economical state of an individual agent of the system. We assume asymmetric interactions between the agents. We show that in a corresponding limit, it is asymptotically equivalent to a nonlinear inviscid Burgers type equation. View Full-Text
Keywords: opinion dynamics; asymmetric interactions; kinetic equations; integro-differential equations; generalized inviscid Burgers equation opinion dynamics; asymmetric interactions; kinetic equations; integro-differential equations; generalized inviscid Burgers equation
MDPI and ACS Style

Lachowicz, M.; Leszczyński, H. Modeling Asymmetric Interactions in Economy. Mathematics 2020, 8, 523.

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