In this work we generalize standard Decision Theory by assuming that two
outcomes can also be incomparable. Two motivating scenarios show how
incomparability may be helpful to represent those situations where, due to lack
of information, the decision maker would like to maintain different options
alive and defer the final decision. In particular, a new axiomatization is
given which turns out to be a weakening of the classical set of axioms used in
Decision Theory. Preliminary results show how preferences involving complex
distributions are related to judgments on single alternatives.Comment: In Proceedings SR 2014, arXiv:1404.041
