Modeling Asymmetric Interactions in Economy

被引：8

作者：

Lachowicz, Miroslaw ^{[1
]}

Leszczynski, Henryk ^{[2
]}

机构：

[1] Univ Warsaw, Fac Math Informat & Mech, Inst Appl Math & Mech, Ul Banacha 2, Warsaw 02097, Poland

[2] Univ Gdansk, Inst Math, Ul Wita Stwosza 57, Gdansk 80308, Poland

来源：

MATHEMATICS | 2020年 / 8卷 / 04期

关键词：

opinion dynamics; asymmetric interactions; kinetic equations; integro-differential equations; generalized inviscid Burgers equation; KINETIC-EQUATION; BLOW-UP; EQUILIBRIA;

D O I：

10.3390/math8040523

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：14

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