Before revision:  The model relies on a new restriction on the unobserved, possibly stochastic consideration map, termedMonotonic Attention , which is intuitive and nests many recent contributions in the literature on limited attention.
After revision:  The model relies on a new restriction on the unobserved, possibly stochastic consideration map, termedMonotonic Attention nonparametric random attention rules. Our model imposes one intuitive condition, termed Monotonic Attention, which captures the idea that each consideration set competes for the decision-maker's attention.