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 aims to open a new avenue for research in continuous-time 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...

Investors tend to move funds when they are unhappy with their current portfolio managers' performance. We study the effect of the size of this flow of funds in an agent-based model of the financial market. The model combines the discrete choice approach from agent-based modelling, where all...

Trading skills are highly rewarded in practice but largely ignored in theoretical models of financial markets. This paper demonstrates the importance of skills by examining their interaction with market fragmentation and market stability. We consider a computational model where traders'...

We present an efficient numerical method to determine optimal portfolio strategies under time- and state-dependent drift and proportional transaction costs. This scenario arises when investors have behavioral biases or the actual drift is unknown and needs to be estimated. The numerical method...

As decarbonisation progresses and conventional thermal generation gradually gives way to other technologies including intermittent renewables, there is an increasing requirement for system balancing from new and also fast-acting sources such as battery storage. In the deregulated context, this...

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...

This tutorial is an introduction to the theory of viscosity solutions of Hamilton-Jacobi-Bellman equations/inequalities in the realm of stochastic control problems. It is an easy to use reference for application-oriented users of this theory. The presentation is based mainly on the book Pham...

This paper introduces a general continuous-time mathematical framework for solution of dynamic mean-variance control problems. We obtain theoretical results for two classes of functionals: the first one depends on the whole trajectory of the controlled process and the second one is based on its...