We consider an investment model where the objective is to overperform a given benchmark or index. We study this portfolio management problem for a long term horizon. This asymptotic criterion leads to a large deviation probability control problem. Its dual problem is an ergodic risk sensitive...

We consider the extension of the classical problem of preference for flexibility to many periods. Preferences are defined over sets of infinite paths of choices. The main result provides a set of axioms on preferences that yield an additive representation over a subjective state space. This...