A fundamental rationality assumption of many models of choices under r
isk and uncertainty is that the sequencing of events should not matter
to a decision maker so long as the consequences arise under the same
conditions, ignoring the order of events. Subjective expected utility
(SEU) implies this property without exception; however, SEU is known n
ot to be descriptive. The boundary between SEU and potentially more de
scriptive theories, such as the rank-dependent ones, has been shown to
lie at a very simple version of this property called event commutativ
ity. Two previous tests of it have yielded mixed results (Brothers, 19
90; Ronen, 1973), but with some evidence from Brothers that it may be
sustained if choice-based certainty equivalents are used. The present
study tested event commutativity using a version of the sequential cho
ice procedure Brothers employed in his third experiment. Twenty-four g
ambles representing a scenario of suing versus settling a car-accident
dispute were presented to students, and certainty equivalents (settle
ment amounts) were elicited using a computer-controlled choice procedu
re. Twenty-two of 25 subjects supported the property of event commutat
ivity; the others violated it in ways similar to those discovered in t
he earlier studies.