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...

The pricing kernel is an important link between economics and finance. In standard models of financial economics it is proportional to the aggregate marginal utility in the economy. We first how that none of the three standard assumptions (completeness, risk aversion, and correct beliefs) is...

This paper introduces and analyzes an evolutionary model of a financial market with a risk-free asset. Focus is on the study of local stability of the wealth dynamics through the application of recent results on the linearization and stability of random dynamical systems (Evstigneev, Pirogov and...

Institutional investors in equities tend to follow well-defined investment strategies, often based on factors such as size, value, momentum, quality, dividend yield and other stock characteristics. This paper explores the impact of capital flows between investment strategies on the cross-section...

The paper shows how the standard two-period CAPM with exogenous wealth and exogenous returns can be extended inter-temporally by including the evolution of wealth from the Evolutionary Finance model of Evstigneev, Hens and Schenk-Hoppe (2011). The missing link between the two models is given by...

We study front-running by high frequency traders (HFTs) in a limit order model with continuous trading. The model describes an evolutionary equilibrium of low frequency traders (LFTs) who compete in portfolio management services by offering investment styles. The introduction of front-runners...

We assess the ability of different risk profiling measures to predict risk taking along a multi-stage decision process. The latter involves decisions under ambiguity, decisions under risk, decisions after gaining experience and decisions after receiving outcome information on previous decisions....