We consider a decision situation where there is an initial set of alte
rnatives that may be augmented, a variant of the problem known in the
literature as the ''secretary problem''. We focus the discussion on th
e special case of group decision-making, where a group or committee is
charged with the responsibility of negotiating the decision. We inves
tigate situations of explicitly stated (multiple) criteria and the sim
pler situation of no such stated criteria. The former case includes th
e congenial, the mixed, and the uncongenial cases, where the individua
ls agree on the direction of all, some, or none of the criteria, respe
ctively. We offer a framework within which a group of individuals can
be supported in such a decision process. In the case of explicit crite
ria, we provide the decision-makers with probability information of th
e likelihood of finding more preferred alternatives provided the initi
al set of alternatives is expanded. The framework is tested using a si
mulated real-world choice situation.