This chapter gives an overview of current research in evolutionary -nance. We mainly focus on the survival and stability properties ofinvestment strategies associated with the Kelly rule. Our approach tothe study of the wealth dynamics of investment strategies is inspired byDarwinian ideas on...

This chapter surveys theoretical research on the long-term performanceof xed-mix investment strategies. These self-nancing strategies rebalancethe portfolio over time so as to keep constant the proportionsof wealth invested in various assets. The main result is that wealthcan be grown from...

The paper examines a game-theoretic model of a …nancial market inwhich asset prices are determined endogenously in terms of short-runequilibrium. Investors use general, adaptive strategies depending onthe exogenous states of the world and the observed history of thegame. The main goal is to...

This paper aims to open a new avenue for research in continuoustimenancial market models with endogenous prices and heterogenousinvestors. The main result is the derivation of the limit of a discretetimeevolutionary stock market model as the length of the time periodtends to zero.[...]

This paper studies the wealth dynamics of investors holding self-nancing portfolios in a continuous-time model of a nancial market.Asset prices are endogenously determined by market clearing. Wederive results on the asymptotic dynamics of the wealth distributionand asset prices for constant...

Evolutionary nance studies the dynamic interaction of investment strategies in nancialmarkets. This market interaction generates a stochastic wealth dynamics on aheterogenous population of traders through the uctuation of asset prices and theirrandom payos. Asset prices are endogenously...

This paper examines numerically the impact of a negative exogenousshock to marginal productivity (such as ecological government regulationthat becomes eective at some point in time) in an endogenousnite time growth model with sluggish reallocation of human capital.The policy can be anticipated...

The paper examines questions of local asymptotic stability of randomdynamical systems. Results concerning stochastic dynamics ingeneral metric spaces, as well as in Banach spaces, are obtained. Theresults pertaining to Banach spaces are based on the linearization ofthe systems under study. The...