Instability and Bifurcation in a Trend Depending Price Formation Model

被引：0
作者：
María del Mar González
Maria Pia Gualdani
Joan Solà-Morales
机构：
[1] Universitat Politècnica de Catalunya,ETSEIB – Departament de MA1
[2] George Washington University,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2016年 / 144卷
关键词：
Mathematical modeling; Reaction-diffusion; Free boundary; Price formation; Stability; Bifurcation; Traveling waves; 35R35; 35K15; 91B42; 91B26;
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学科分类号：
摘要：
A well-known model due to J.-M. Lasry and P.L. Lions that presents the evolution of prices in a market as the evolution of a free boundary in a diffusion equation is modified in order to show instabilities for some values of the parameters. This loss of stability is associated to the appearance of new types of solutions, namely periodic solutions, due to a Hopf bifurcation and representing price oscillations; and traveling waves, that represent either inflationary or deflationary behavior.
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页码：121 / 136
页数：15
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