It is commonly argued that the brain aggregates information in a hierarchical fashion. I will discuss how hierarchical aggregation of information gives rise to predictable imperfections in inference, consistent with well-known features of perceptual illusions and decision biases. I demonstrate the basic results in a setup with two modules: both seek to infer some unobserved value, and each has private information, but the second module additionally observes the first module’s posterior. As a whole this system will fail to aggregate information efficiently. In particular, it predicts two commonly observed features of decision-making: (1) the influence of irrelevant associations (framing effects), and (2) the avoidance of dominated options. I discuss experimental evidence for both features. This combination of properties is not predicted by either random utility or inattention.
1022 International Affairs Building (IAB)
Mail Code 3308
420 West 118th Street
New York, NY 10027