We characterize the preference domains on which the Borda count satisfies Arrow's ``independence of irrelevant alternatives" condition. Under a weak richness condition, these domains are obtained by fixing one preference ordering and including all its cyclic permutations (``Condorcet cycles")....

Can neural networks learn to select an alternative based on a systematic aggregation of conflicting individual preferences (i.e. a 'voting rule')? And if so, which voting rule best describes their behavior? We show that a prominent neural network can be trained to respect two fundamental...

Economic theories of rational addiction aim to describe consumer behavior in the presence of habit-forming goods. We provide a biological foundation for this body of work by formally specifying conditions under which it is optimal to form a habit. We demonstrate the empirical validity of our...