Subjects who did not break the transitivity condition in a simple choice situation showed a significant linear relation between choice and their rating of risk, an ordinal scale of risk in other choice situations, a self-reported level of risk taking related to the choices made. Subjects breaking transitivity did not fulfill the above conditions and were more random in choice and reported that they made risky choices. In fact there was no significant difference between the transitive and non-transitive subjects in the number of risky choices made throughout the experiment.
Abstract