Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income. The utility function is unbounded and uncertainty stems from a Poisson process. Our results can be derived because of the...

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...

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...

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...

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 Poisson model of endogenous business cycles and growth is presented where the determinants of...

A country with Cournot competition and free entry experiences an increase of its market size either due to economic growth or international integration of goods markets. The implied increase in competition leads to shrinking mark-ups and forces firms to reduce overhead costs relative to output....

Worker movements played a crucial role in making workplaces safer. Workplace safety is costly for firms but increases labour supply. A laissez-faire approach leaving safety of workplaces unknown is suboptimal. Safety standards set by better-informed trade unions are output and welfare...

Getting a tenured position in economics in Germany is viewed as a random outcome where the probability of tenure depends on the quantity and qual- ity of publications, age and years since PhD. We measure publications both in units of Top 5 journals and in units of the European Economic Review...

The paper studies the containment effects of public health measures to curb the spread of Covid‐19 during the first wave of the pandemic in spring 2020 in Germany. To identify the effects of six compound sets of public health measures, we employ a spatial difference‐in‐differences...