Conferenciante: Javier Cárcamo, Universidad Autónoma de Madrid
Fecha y hora: viernes 18 de diciembre a las 11:00 horas Resumen: Inequality is one of the main global issues in nowadays world. In the econometric literature there is a major interest to develop and study indices quantifying inequality with accuracy as well as summaries of the dispersion/heterogeneity of income or wealth distribution in a population. The Lorenz curve (1905) and the Gini index (1914) have been key tools within this field of research. We analyze the (convex) set of Lorenz curves with fixed Gini index from a mathematical point of view. In this way, we can compute the maximum distance between distributions with given Gini indices. As an application, we construct a new inequality index that amends (to the extent possible) the deficiencies of the current approaches to compare inequality among populations. We apply the proposed index to several real income datasets to illustrate its performance in practice. This is a joint work with Amparo Baíllo and Carlos Mora.