Stability of the utility maximization problem with random endowment in\n incomplete markets

We perform a stability analysis for the utility maximization problem in a\ngeneral semimartingale model where both liquid and illiquid assets (random\nendowments) are present. Small misspecifications of preferences (as modeled via\nexpected utility), as well as views of the world or the market model (as\nmodeled via subjective probabilities) are considered. Simple sufficient\nconditions are given for the problem to be well-posed, in the sense the optimal\nwealth and the marginal utility-based prices are continuous functionals of\npreferences and probabilistic views.\n