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...

Income-based as well as most existing multidimensional poverty indices (MPI) assume equal distribution within the household and thus are likely to lead to yield a biased assessment of individual poverty, and poverty by age or gender. In this paper we first show that the direction of the bias...

The Alkire and Foster (2011) methodology, as the mainstream approach to the measurement of multi-dimensional poverty in the developing world, is insensitive to inequality among the multi-dimensionally poor individuals and does not consider simultaneously the concepts of efficiency and...

Most existing multidimensional poverty measures use the household as the unit of analysis so that the multidimensional poverty condition of the household is equated with the multidimensional poverty condition of all its members. For this reason, household-based poverty measures ignore the...

In this paper, considering the overarching concern of the 2030 sustainable development agenda, "leaving no one behind", and targets 1.2 and 10.1 of the SDGs, we stress that the mainstream approach to multidimensional poverty measurement in developing countries faces some deficiencies to properly...

Most existing empirical papers concerned about multidimensional poverty use the house- hold as the unit of analysis, meaning that multidimensional poverty status of the household is equated with the multidimensional poverty status of all individuals in the household. This assumption,...

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...