The paper provides the axiomatic characterization of a new poverty measure, the path-dependent poverty index. This is a two period index taking into account not only individuals current and past deprivation levels, but also the relative position with respect to their previous income status....

We consider the problem of determining the individual preference rankings that are necessarily implied by a dataset consisting of prices, income distributions and total resources. We show the equivalence between the compatibility with individual preference rankings and the existence of a...

We investigate the geometry of finite datasets defined by equilibrium prices, income distributions, and total resources. We show that the equilibrium condition imposes no restrictions if total resources are collinear, a property that is robust to small perturbations. We also show that the set of...

The paper provides the axiomatic characterization of a new poverty measure, the path-dependent poverty index. This is a two period index taking into account not only individuals current and past deprivation levels, but also the relative position with respect to their previous income status....

We investigate the relationship between the notion of progressive taxation and inequality reduction under a general version of the concept of inequality equivalence. We consider a two-parameter formalization of the concept of inequality equivalence that both includes, as special cases, the...