||Heterogeneous Agent Model with Three Delays
松本 昭夫Ferenc SZIDAROVSZKY
This paper considers a continuous-time heterogeneous agent model of a financial market with one risky asset, two types of agents (i.e., the fundamentalists and the chartists), and three time delays. The chartist demand is determined through a nonlinear function of the difference between the current price and a weighted moving average of the delayed prices whereas the fundamentalist demand is governed by the difference between the current price and the fundamental value. The asset price dynamics is described by a nonloiniear delay differential eqation. Two main results are analytically and numerically shown:(i) the delay destabilizes the market price and generates cyclic oscillations around the equilibrium;(ii) under multiple delays, stability loss and gain repeatedly occurs as a length of the delay increases.