Before revision:  Using these results, we show that a set (possibly a singleton) of strict preference orderings compatible with RAM is identifiable from the decision maker's choice probabilities, and establish a representation of this identified set of unobserved preferencesas a collection of inequality constrains on her choice probabilities.
After revision:  Based on these theoretical findings, we propose econometric methods for identification, estimation, and inference of the decision maker's choice probabilities, and establish a representation of this identified set of unobserved preferencesas a collection of inequality constrains on her choice probabilities.