In this paper a model is presented for multicriterion decision making with the objectives in the form of constraints or targets. We assume that the policy alternatives are predetermined, that decision makers are satisficers, and that the values of targets are uncertain. The versatility criterion is used in selecting the feasible policy which maximizes the probability of attaining the objectives. Different assumptions concerning the distribution of target values are considered. For the case of a multivariate normal distribution an algorithm is outlined which uses the Monte Carlo method for numerical integration. A simple example illustrates the potential use of the model when there is a large number of decision makers with different objectives.