Transitivity is a fundamental requirement for consistency. Legal systems, especially when composed over time and by different agencies, may encounter non-transitive cycles. This paper discusses a new solution to such cycles, namely setting the hierarchy of the relevant rules or preferences. The...

Preferences may arise from regret, i.e., from comparisons with alternatives forgone by the decision maker. We show that when the choice set consists of pairwise statistically independent lotteries, transitive regret-based behavior is consistent with betweenness preferences and with a family of...

Transitivity is a fundamental axiom in Economics that appears in consumer theory, decision under uncertainty, and social choice theory. While the appeal of transitivity is obvious, observed choices sometimes contradict it. This paper shows that treatments of violations of transitivity al- ready...

Preferences may arise from regret, i.e., from comparisons with alternatives forgone by the decision maker. We ask whether regret-based behavior is consistent with non-expected utility theories of transitive choice. We show that the answer is no. If choices are governed by ex ante regret and...