This chapter gives an overview of current research in evolutionary fi- nance. 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 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...

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 paper examines a game-theoretic model of a financial market in which asset prices are determined endogenously in terms of short-run equilibrium. Investors use general, adaptive strategies depending on the exogenous states of the world and the observed history of the game. The main goal is to...

This paper derives an analytic expression for the distribution of the average volatility ds in the stochastic volatility model of Hull and White. This result answers a longstanding question, posed by Hull and White (Journal of Finance 42, 1987), whether such an analytic form exists. Our findings...

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...

This paper studies the wealth dynamics of investors holding self-financing portfolios in a continuous-time model of a financial market. Asset prices are endogenously determined by market clearing. We derive results on the asymptotic dynamics of the wealth distribution and asset prices for...

This paper introduces an expected value estimator with “expert knowledge” to the robust estimation of sovereign rating transitions which are characterised by few observations. Our estimates of default premia within Mexican, Colombian and Brazilian Eurobond yield spreads provide a better fit...

This paper complements theoretical studies on the Kelly rule in evolutionary finance by studying a Darwinian model of selection and reproduction in which the diversity of investment strategies is maintained through genetic programming. We find that investment strategies which optimize long-term...

This paper studies the role of strategy and the order book market mechanism in price dynamics and the order flow behaviour. To this end we analyse a zero-intelligence agent model of a dynamic limit order market. Stylised facts of limit order markets are shown to be influenced and, in some cases,...