The income effect under uncertainty: A Slutsky-like decomposition with risk aversion

We study the effect of changing income on optimal decisions in the multidimensional expected utility framework with strongly separable preferences. Using the Kihlstrom and Mirman (1974) (KM) utility representation, we show that the effect of changing income can be decomposed into a modified income effect linked to the classical income effect and an effect representing attitudes to risk, modified by income.