 where \(\Phi\) is a set of pairs of probability and utility functions. Due to space considerations, axiomatic details are left out here. The interested reader is referred to the recent general treatment given by Galaabaatar &amp; Karni (2013), who relate their results to important earlier work by the likes of Bewley (1986), Seidenfeld et al. (1995), Ok et al. (2012), and Nau (2006), among others.