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...

This paper derives a basic formula for the measure of social welfare, a second order approximation to the difference of the value of the Bergson-Samuelson social welfare function between the socially optimal resource allocation and the one in the present suboptimal economy. We discuss pros and...

This paper derives a basic formula for the measure of social welfare, a second order approximation to the difference of the value of the Bergson-Samuelson social welfare function between the socially optimal resource allocation and the one in the present suboptimal economy. We discuss pros and...

This paper derives a basic formula for the measure of social welfare, a second order approximation to the difference of the value of the Bergson-Samuelson social welfare function between the socially optimal resource allocation and the one in the present suboptimal economy. We discuss pros and...

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...

Risk allocation games are cooperative games that are used to attribute the risk of a financial entity to its divisions. In this paper, we extend the literature on risk allocation games by incorporating liquidity considerations. A liquidity policy specifies state-dependent liquidity requirements...

Let us consider a financially constrained leveraged financial firm having some divisions which have invested into some risky assets. Using coherent measures of risk the sum of the capital requirements of the divisions is larger than the capital requirement of the firm itself, there is some...