Thesiss

The existence of pathwise stationary solutions of this stochastic partial differential equation (SPDE, for abbreviation) is demonstrated. In Part II, a connection between certain kind of state constrained controlled Forward-Backward Stochastic Differential Equations (FBSDEs) and…

This thesis provides a study on the theory of stochastic von Neumann-Gale dynamical systems and their applications in Economics and Finance. This is a class of multivalued dynamical systems possessing certain properties of convexity and homogeneity. Dynamic models of this kind w…

We study evolutionary models of financial markets. In particular, we study an evolutionary market model with short-lived assets and an evolutionary model with long-lived assets. In the long-lived asset market, investors are allowed to use general dynamic investment strategies. W…