Instability and Bifurcation in a Trend Depending Price Formation Model

被引：2
作者：
del Mar Gonzalez, Maria [1 ]
Gualdani, Maria Pia [2 ]
Sola-Morales, Joan [1 ]
机构：
[1] Univ Politecn Cataluna, ETSEIB Dept MA1, Ave Diagonal 647, E-08028 Barcelona, Spain
[2] George Washington Univ, Dept Math, 801 22nd St NW, Washington, DC 20052 USA
来源：
ACTA APPLICANDAE MATHEMATICAE | 2016年 / 144卷 / 01期
关键词：
Mathematical modeling; Reaction-diffusion; Free boundary; Price formation; Stability; Bifurcation; Traveling waves; FREE-BOUNDARY MODEL; EQUATION; LASRY; LIONS;
D O I：
10.1007/s10440-016-0043-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：121 / 136
页数：16
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