A class of convex preferences without concave representation

Abstract

JEL Code: D01, D12.I show that continuous convex preference relations that have affine indifference curves do not have a concave representation if there are two indifference curves that are not parallel. In other words a preference relation with affine indifference curves that has a concave representation has a linear utility representation. Eu demonstro que uma relação de preferências contínua e convexa que tem curvas de indiferença afins não tem representação côncava