In this paper we focus on robust linear optimization problems with uncertainty regions defined by ø-divergences (for example, chi-squared, Hellinger, Kullback-Leibler). We show how uncertainty regions based on ø-divergences arise in a natural way as confidence sets if the uncertain parameters...

Adjustable Robust Optimization (ARO) yields, in general, better worst-case solutions than static Robust Optimization (RO). However, ARO is computationally more difficult than RO. In this paper, we derive conditions under which the worst-case objective values of ARO and RO problems are equal. We...

For a number of different formulations of robust portfolio optimization, quadratic and absolute, we show that a) in the limit of low uncertainty in estimated asset mean returns the robust portfolio converges towards the mean-variance portfolio obtained with the same inputs; and b) in the limit...

We analyze the portfolio planning problem of an ambiguity averse investor. The stock follows a jump-diffusion process, and there is ambiguity about the drift of the stock and the intensity of jumps. The consequences of ambiguity with respect to jump and diffusion risk are by no means the same....

Some economists have recommended the robust control approach to the formulation of monetary policy under uncertainty when policymakers cannot attach probabilities to the scenarios that concern them. One critique of this approach is that it seems to imply aggressive policies under uncertainty,...

Decision-makers who usually face model/parameter risk may prefer to act prudently by identifying optimal contracts that are robust to such sources of uncertainty. In this paper, we tackle this issue under a finite uncertainty set that contains a number of probability models that are candidates...

I study reputation effects under uncertain monitoring. I examine a repeated game between a long-run player and a series of short-run opponents. The long-run player can either be a strategic type or a commitment type that plays the same action in every period. The modeling innovation is that the...