This paper extends the analysis of the seminal paper of Brock and Hommes (1998) on heterogeneous beliefs and routes to chaos in a simple asset price model in discrete-time to a model in continuous-time. The resulting model characterized mathematically by a system of stochastic delay differential...

Heterogeneity and interacting among boundedly rational agents have received an increasing attention in the finance and economics literature. Recent developments on the role of heterogeneous beliefs on asset pricing and the adaptive behaviour of financial markets shed light into the complex...

We develop a simple behavioural asset pricing model with fundamentalists and chartists to study price behaviour in financial markets. Within our model, the market impact of the weighting process of the conditional mean and variance of the chartists and investors' reactions are analysed. Price...

By considering a financial market of fundamentalists and trend followers in which the price trend of the trend followers is formed as a weighted average of historical prices, we establish a continuous-time financial market model with time delay and examines the impact of time delay on market...

Stability and bifurcation analysis of deterministic systems has been widely used in modeling financial markets. However, the impact of such dynamic phenomena on various statistical properties of the corresponding stochastic model, including skewness and excess kurtosis, various autocorrelation...