Numerical Simulation of a Diffusion Type Evolutionary Stock Market Model

19 Pages Posted: 26 Feb 2008

See all articles by Walailuck Chavanasporn

Walailuck Chavanasporn

affiliation not provided to SSRN

Christian-Oliver Ewald

University of Glasgow; Høgskole i Innlandet

Date Written: February 22, 2008

Abstract

We adapt the evolutionary stock market model from Evstigneev, Hens, Schenk-Hoppé (2006) to a continuous time framework, where uncertainty in dividends is produced by a single Wiener process. The setup is therefore significantly different from Yang and Ewald (2008), who also study continuous time, but remain within the framework of random dynamical systems of non-diffusive type. For the case of fix-mix strategies we derive the stochastic differential equation which determines the evolution of the wealth processes of the various market players. These stochastic differential equations are highly non-linear and we find that it is impossible to solve them analytically. Instead we simulate the wealth dynamic for various initial setups of the market. A detailed discussion of our observations from the simulations is given.

Keywords: Behavioral Finance, Evolutionary Finance, Wealth dynamics

JEL Classification: C63, G11, G31, G39

Suggested Citation

Chavanasporn, Walailuck and Ewald, Christian-Oliver, Numerical Simulation of a Diffusion Type Evolutionary Stock Market Model (February 22, 2008). Available at SSRN: https://ssrn.com/abstract=1096455 or http://dx.doi.org/10.2139/ssrn.1096455

Walailuck Chavanasporn (Contact Author)

affiliation not provided to SSRN ( email )

Christian-Oliver Ewald

University of Glasgow ( email )

Adam Smith Building
Glasgow, Scotland G12 8RT
United Kingdom

Høgskole i Innlandet ( email )

Lillehammer, 2624
Norway

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