“…An advantage of these linear approaches is that the resulting representations are well defined over lower dimensional sets, which our measure‐theoretic approach must finesse. Finally, Ghirardato (2001), Jaffray and Jeleva (2004), Mukerji (1997), and Nehring (1999) consider multi‐valued acts, which map states of the world to sets of consequences, while Viero (2006) considers acts which map to sets of lotteries.…”