This article proposes three new decompositions of inequality measures, drawn from the framework of cooperative game theory which allows to take into consideration players’ interactions impact rather than players’ contributions to inequality. These innovative approaches are especially suited...

Human development is about expanding the choices human beings have to lead lives that they value and is captured by its capability sets which consist of various functioning vectors. The standard of living is then reflected in capability sets. This paper proposes some particular ways of measuring...

We propose a new class of multidimensional poverty indices. Aggregation of the different dimensions relies on individual preferences. The Pareto principle is, therefore, satisfied among the poor. The indices add up individual measures of poverty that are computed as a convex transform of the...

Human development is about expanding the choices human beings have to lead lives that they value and is captured by its capability sets which consist of various functioning vectors. The standard of living is then reflected in capability sets. This paper proposes some particular ways of measuring...

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....

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....

Measuring risk can be axiomatized by the concept of coherent measures of risk. A risk environment specifies some individual portfolios' realization vectors and a coherent measure of risk. We consider sharing the risk of the aggregate portfolio by studying transferable utility cooperative games:...

The measurement and the allocation of risk are fundamental problems of portfolio management. Coherent measures of risk provide an axiomatic approach to the former problem. In an environment given by a coherent measure of risk and the various portfolios' realization vectors, risk allocation games...

A symmetric network consists of a set of positions and a set of bilateral links between these positions. Examples of such networks are exchange networks, communication networks, disease transmission networks, control networks etc. For every symmetric network we define a cooperative transferable...

In finance risk capital allocation raises important questions both from theoretical and practical points of view. How to share risk of a portfolio among its subportfolios? How to reserve capital in order to hedge existing risk and how to assign this to different business units? We use an...