The present paper is concerned with the optimal control of stochastic differential equations, where uncertainty stems from one or more independent Poisson processes. Optimal behavior in such a setup (e.g., optimal consumption) is usually determined by employing the Hamilton-Jacobi-Bellman...

Rare and randomly occurring events are important features of the economic world. In continuous time they can easily be modeled by Poisson processes. Analyzing optimal behavior in such a setup requires the appropriate version of the change of variables formula and the Hamilton-Jacobi-Bellman...

Current explanations why a growing economy necessarily goes through booms and recessions predict countercyclical R&D investment. As this is very controversial from an empirical perspective, a stochastic Poissonmodel of endogenous business cycles and growth is presented where the determinants of...

In dem vorliegenden Papier wird untersucht, inwieweit Verbraucherschutz und der Informationsstand von Konsumenten einen Einfluss auf die Entwicklung einer Industrie haben. Hierzu wird das evolutorische Simulationsmodell von Winter (1984) um einen explizit modellierten Konsumsektor in Anlehnung...