Modeling Asymmetric Interactions in Economy

Mirosław Lachowicz and Henryk Leszczyński
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Mirosław Lachowicz: Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
Henryk Leszczyński: Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-308 Gdańsk, Poland

Mathematics, 2020, vol. 8, issue 4, 1-14

Abstract: 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.

Keywords: opinion dynamics; asymmetric interactions; kinetic equations; integro-differential equations; generalized inviscid Burgers equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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