We propose and develop an algebraic approach to revealed preference. Our approach dispenses with non algebraic structure, such as topological assumptions. We provide an algebraic axiom of revealed preference that subsumes previous, classical revealed preference axioms, and show that a dataset is...

We use a revealed preference approach to develop tests for the observed behavior to be consistent with theories of social preferences. In particular, we provide nonparametric criteria for the observed set of choices to be generated by inequality averse preferences and increasing benevolence...

We develop a systematic, functional approach to revealed preference tests based on completing preferences. Our approach is based on the notion of sequential closure, which generalizes the notion of transitive closure. We show that revealed preference tests developed for various decision theories...

Following Richter (1966), we provide criteria under which a preference relation implied by a finite set of choice observations has a complete extension that can in turn be represented by a utility function. These criteria rely on a mapping over preference relations, the rational closure, which...