This paper aims to open a new avenue for research in continuoustime financial market models with endogenous prices and heterogenous investors. The main result is the derivation of the limit of a discretetime evolutionary stock market model as the length of the time period tends to zero. The...

Risk management and asset pricing benefit from simple functional descriptions of the distribution of real asset returns. Recently, several authors have proposed that asset returns in real stock markets are distributed according to a hyperbolic distribution. While asset returns are generated by...

The paper analyzes the process of market selection of investment strategies in an incomplete asset market. The payoffs of the as-sets depend on random factors described in terms of a discrete-time Markov process. Market participants make dynamic investment de-cisions based on their observations...

This paper introduces and analyzes an evolutionary model of a financial market with a risk-free asset. We focus on the local stability of the wealth dynamics, applying recent results on the linearization and stability of random dynamical systems (Evstigneev, Pirogov and Schenk-Hoppé...

The paper considers the evolution of portfolio rules in markets with stationary returns and endogenous prices. The ultimate success of a portfolio rule is measured by the wealth share the rule is eventually able to conquer in competition with other portfolio rules. We give nec-essary and...

This paper presents an application of evolutionary portfolio theory to stocks listed in the Swiss Market Index (SMI). We study numerically the long-run outcome of the competition of rebalancing rules for market shares in a stock market with actual dividends taken from firms listed in the SMI....

Tobin (1958) has argued that in the face of potential capital losses on bonds it is reasonable to hold cash as a means to transfer wealth over time. It is shown that this assertion cannot be sustained taking into account the evolution of wealth of cash holders versus non cash holders. Cash...

Insurance companies invest their wealth in financial markets. The wealth evolution strongly depends on the success of their investment strategies, but also on liquidity shocks which occur during unfavourable years, when indemnities to be paid to the clients exceed collected premia. An investment...