In two experiments we test Machina's Hypothesis II (fanning-out). In e
ach experiment we analyze patterns of responses to hypothetical lotter
y choice questions within a Marschak-Machina triangle. One set of ques
tions involves lotteries on the border of the triangle, an the other s
et of questions involves lotteries in the interior of the triangle (of
f the border). Our results show that a large proportion of the observe
d patterns in the on-border treatment support Hypothesis II. with a co
nsiderable amount of fanning-out behavior observed. The patterns obser
ved in the off-border treatment are significantly different from those
in the on-border treatment. Hypothesis II performs well in the off-bo
rder treatment because expected utility theory itself, which satisfies
the restrictions of Hypothesis II, performs well.