A seminal theorem due to Blackwell (1951) shows that every Bayesian decision-maker prefers an informative signal Y to another signal X if and only if Y is statistically sufficient for X. Sufficiency is an unduly strong requirement in most economic problems because it does not incorporate any...

A discrete symmetry of a preference relation is a mapping from the domain of choice to itself under which preference comparisons are invariant; a continuous symmetry is a one-parameter family of such transformations that includes the identity; and a symmetry field is a vector field whose...

Consider a finite data set where each observation consists of a bundle of contingent consumption chosen by an agent from a constraint set of such bundles. We develop a general procedure for testing the consistency of this data set with a broad class of models of choice under risk and under...

This work provides an axiomatic framework to the concept of conditional preference orders based on conditional sets. Conditional numerical representations of such preference orders are introduced and a conditional version of the theorems of Debreu about the existence of such numerical...

This paper axiomatizes static and dynamic quantile preferences. Static quantile preferences specify that a prospect should be preferred if it has a higher τ-quantile, for some τ ∈ (0,1), while its dynamic counterpart extends this to take into account a sequence of decisions and information...

We consider preference relations over information that are monotone: more information is preferred to less. We prove that, if a preference relation on information about an uncountable set of states of nature is monotone, then it is not representable by a utility function

This paper shows that frequently observed violations of IIA (Independence of Irrelevant Alternatives), namely the similarity and attraction effect can be compatible with the maximization of rational preferences and the violations themselves can be used to infer the underlying rational preference...

It is frequently assumed in several domains of economics that demand functions are invertible in prices. At the primitive level of preferences, however, the characterization of such demand functions remains elusive. We identify conditions on a utility-maximizing consumer's preferences that are...

The authors study the lack of necessity of the transitivity property when representing preference relations. Avoiding transitivity hypothesis, this work offers a vision about the modeling of consumer preference relations which are different from the classic one used in economics pedagogy. The...