Separable Utility Functions in Dynamic Economic Models

In this note we study properties of utility functions suitable for performance evaluation of dynamic economic models under uncertainty. At first, we summarize basic properties of utility functions, at second we show how exponential utility functions can be employed in dynamic models where not only expectation but also the risk are considered. Special attention is focused on properties of the expected utility and the corresponding certainty equivalents if the stream of obtained rewards is governed by Markov dependence and evaluated by exponential utility functions.