This chapter gives an overview of current research in evolutionary finance. We mainly focus on the survival and stability properties of investment strategies associated with the Kelly rule. Our approach to the study of the wealth dynamics of investment strategies is inspired by Darwinian ideas...

This chapter surveys theoretical research on the long-term performance of fixed-mix investment strategies. These self-financing strategies rebalance the portfolio over time so as to keep constant the proportions of wealth invested in various assets. The main result is that wealth can be grown...

The optimal investment-dividend policy of a financially constrained firm whose earnings are subject to additive shocks is shown to exhibit several stylized economic and financial features of the firm life cycle which usually require considerably more complex models. This parsimonious model...