The research reported herein was performed under the auspices of the Interactive Decision Analysis (IDA) Project in the Systems and Decision Sciences Program. This paper reports on a class of group choice problems under uncertainty, with applications to the problem of locating public facilities such as power plants or prisons, which have potentially noxious side effects. This research complements the overall thrust of the IDA Project to study the theoretical foundations of interventions directed at improving individual and group decision processes. In this regard, the collective choice mechanisms analyzed in this paper for group bargaining problems under uncertainty should be of interest both for their theoretical properties as well as for their implications for the important practical problem of siting public facilities.