We define necessary and sufficient conditions on prices and incomes under which quantity choices can violate SARP (Strong Axiom of Revealed Preference) but not WARP (Weak Axiom of Revealed Preference). As SARP extends WARP by additionally imposing transitivity on the revealed preference...

Many studies document failures of expected utility's key assumption, the independence axiom. Here, we show that independence can be decomposed into two distinct axioms - betweenness and homotheticity - and that these two axioms are necessary and sufficient for independence. Thus, independence...

We provide a nonparametric 'revealed preference' characterization of rational household behavior in terms of the collective consumption model, while accounting for general (possibly non-convex) individual preferences. We establish a Collective Axiom of Revealed Preference (CARP), which provides...

This paper extends standard consumer theory to account for endogenous moral motivation. Building on cognitive dissonance theory, I show how moral values are affected by changes in prices and income. The key insight is that changes in prices and income that lead to higher consumption of an...

A nonparametric approach is presented to test whether decisions on a probability simplex could be induced by quasiconcave preferences. Necessary and sufficient conditions are presented. If the answer is affirmative, the methods developed here allow to reconstruct bounds on indifference curves....

Non-positivity of the generalized substitution effect, non-positivity of the own-price substitution effect, homogeneity of degree zero in all prices and income, and the law of demand are some of the most primitive comparative static results in the standard revealed preference theory of...

We model a general choice environment via probabilistic choice correspondences, with (possibly) incomplete domain and infinite universal set of alternatives. We offer a consistency restriction regarding choice when the feasible set contracts. This condition, 'contraction consistency', subsumes...

This paper is concerned with the axiomatic foundation of the revealed preference theory. Many well-known results in the literature rest upon the ability to choose over budget sets that contain only 2 or 3 elements. This paper shows that for any given choice function, many of the famous...

This paper provides an efficient way to generate a set of random choices on a set of budgets which satisfy the Generalised Axiom of Revealed Preferences (GARP), that is, they are consistent with utility maximisation. The choices are drawn from an approximate uniform distribution on the...