International Journal of Swarm Intelligence and Evolutionary Computation

Abstract

Coupled Stochastic Chaos and Multifractal Turbulence in an Artificial Financial Market

Carlos Pedro Gonçalves*

A stochastic chaos model of adaptive financial speculative dynamics is introduced and shown to capture several key features of actual financial turbulence, including power law scaling in the squared logarithmic returns’ distribution, 1/f spectral signatures and multifractal scaling, the model is expanded to a multiple asset artificial financial market, leading to a coupled stochastic chaos model of financial speculative dynamics, showing evidence of macroscopic financial turbulence, with excess kurtosis, power law signatures, multifractal scaling at the mean field level as well as a relation between dynamical synchronization and financial volatility dynamics. The implications for financial theory and applications of coupled stochastic chaos models to model complex financial coevolutionary dynamics are addressed

Published Date: 2022-08-12; Received Date: 2022-07-03