A Heterogeneous Agent Model of Asspet Price with Three Time Delays

This paper considers a continuous-time heterogeneous agent model ofa ...nancial market with one risky asset, two types of agents (i.e., thefundamentalists and the chartists), and three time delays. The chartistdemand is determined through a nonlinear function of the di¤erence be-tween the current pr...

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Bibliographic Details
Main Authors: Akio Matsumoto, Ferenc Szidarovszky
Format: Article
Language:English
Published: Frontiers Media S.A. 2016-09-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:http://journal.frontiersin.org/Journal/10.3389/fams.2016.00015/full
Description
Summary:This paper considers a continuous-time heterogeneous agent model ofa ...nancial market with one risky asset, two types of agents (i.e., thefundamentalists and the chartists), and three time delays. The chartistdemand is determined through a nonlinear function of the di¤erence be-tween the current price and a weighted moving average of the delayedprices whereas the fundamentalist demand is governed by the di¤erencebetween the current price and the fundamental value. The asset price dy-namics is described by a nonlinear delay di¤erential equation. Two mainresults are analytically and numerically shown:(i) the delay destabilizes the market price and generates cyclic oscillationsaround the equilibrium;(ii) under multiple delays, stability loss and gain repeatedly occurs as alength of the delay increases.
ISSN:2297-4687