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...

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...