We solve analytically the Merton's problem of an investor with time-additive power utility. For general state dynamics, we prove existence of two power series representations of the relevant optimal policies and value functions, which hold for all admissible risk aversion parameters. We...

We apply perturbation methods to solve in closed form a class of robust control problems, implied by Anderson, Hansen and Sargent setting of a preference for robustness. In the constant investment opportunity set case, we obtain closed form power series solutions for the arising robust Bellman...

We consider a risky asset whose instantaneous rate of returntakes two dierent values and changes from one to the other one at randomtimes which are neither known, nor directly observable. We study the optimalallocation strategy of traders who, in the presence of cost of transactions, investin...

Vorliegende Dissertation beschäftigt sich mit der Komplexität in Unternehmensplanspielen.

Most software reliability growth models specify the expected number of failuresexperienced as a function of testing effort or calendar time. However, there areapproaches to model the development of intermediate factors driving failureoccurrences. This paper starts out with presenting a model...

We present a solution to the considered in [5] and [22] optimal stopping problem for some jump processes. The method of proof is based on reducing the initial problem to an integro-differential free-boundary problem where the normal reflection and smooth fit may break down and the latter then be...

The subject of the present paper is a simplified model for a symmetric bistable system with memory or delay, the reference model, which in the presence of noise exhibits a phenomenon similar to what is known as stochastic resonance. The reference model is given by a one dimensional parametrized...

We present an explicit solution to an optimal stopping problem in a model described by a stochastic delay differential equation with an exponential delay measure. The method of proof is based on reducing the initial problem to a free-boundary problem and solving the latter by means of the...