This work develops the mathematics that underlies many agent-based models and multi-agent systems, both of which could only previously be studied by computer simulation. It also introduces complexity into the study of economic systems while retaining closed-form analysis, and it establishes new...

We consider the general problem of a set of agents trading a portfolio of assets in the presence of transient price impact and additional quadratic transaction costs and we study, with analytical and numerical methods, the resulting Nash equilibria. Extending significantly the framework of...