This paper seeks to extend the unidimensional notion of Lorenz dominance to the multidimensional context. It formulates a definition of a multidimensional Lorenz dominance relation (MLDR) on the set of alternative distributions of well-being in an economy by incorporating a generalization of the...

Since Sen's contribution on the impossibility of a Paretian liberal, his formulation of libertarian rights has been under debate. In this paper, we highlight some important strands in this debate, and achieve some conceptual clarification of the different and often incompatible views of...

This paper analyzes the measurement of the diversity of sets based on the dissimilarity of the objects contained in the set. We discuss axiomatic approaches to diversity measurement and examine the considerations underlying the application of specific measures. Our focus is on descriptive...

The notion of diversity is an issue that is of relevance in several contexts. For example, the biodiversity of a given ecological environment and the diversity of the options available to a decision maker have attracted some attention in recent research. This paper provides an axiomatic approach...

This paper considers the functioning approach to the standard of living. It shows that, in evaluating standards of living, one is faced with deep-rooted tensions between the principle of weak dominance and the principle of minimal relativism, which requires some minimal respect for differences...