We present necessary and sufficient revealed preference conditions to verify whether a finite data set on nonlinear budget sets is consistent with the maximization of a quasi-concave utility function. When budget sets are finite unions of polyhedral convex sets, these conditions require feasibility of a set of linear inequalities, which makes them easy to use in practical applications.
- Convex preferences
- Nonlinear budget sets
- Revealed preference conditions
- AFRIATS THEOREM