Most terrestrial biological invasions occur in landscapes comprising numerous, independently managed properties. Thus, control of invasion spread generally depends on the choices of many managers, each deciding the extent to control invasions on their property. Here we develop a...

Uzawa (1968) first introduced a simple and appealing method for reducing problems with variable rates of time preference to single-state systems by transforming the time scale from t to Δ, a utility discount factor. Thistransformation has been used extensively, particularly in models of...

We solve an optimal growth model in continuous space, continuous and bounded time. The optimizer chooses the optimal trajectories of capital and consumption across space and time by maximizing an objective function with both space and time discounting. We extract the corresponding Pontryagin...

We develop a theory of optimal stopping problems under ambiguity in continuous time. Using results from (backward) stochastic calculus, we characterize the value function as the smallest (nonlinear) supermartingale dominating the payoff process. For Markovian models, we derive an adjusted...

The major goal of this thesis is to contribute answering the question how changes in economic actions affect the climate and at the same time, how do changes in the climate affect the economy. This thesis consists of three parts. In the first part (Chapter 2) we stress the role of the oceans as...

In this paper, we propose a framework for robust optimization that relaxes the standard notion of robustness by allowing the decision maker to vary the protection level in a smooth way across the uncertainty set. We apply our approach to the problem of maximizing the expected value of a payoff...

Gegenstand dieser Arbeit ist die Untersuchung von Finanzmarktmodellen, die für den An- und Verkauf von Finanzgütern anfallende Kosten berücksichtigen, sogenannte Transaktionskosten. Zentrales Thema ist dabei ein Portfoliooptimierungsproblem in einem Black-Scholes-Modell mit n Aktien bei...