Relative deprivation and economic welfare

It is shown that the theory of relative deprivation can be decomposed into two concepts: deprivation and its relativity. Deprivation is interpreted as forgone utility due to lack of commodities, thus minimizing deprivation and maximizing utility come to much the same thing. The relativity of the concept stems from the existence of reference groups in the society. The core of the paper deals with the effect of reference groups on the deprivation felt in the society.     

INCOME STRATIFICATION AND INCOME INEQUALITY

This paper develops a new index of stratification that highlights the distinction between inequality and stratification. The stratification index captures the extent to which population subgroups occupy distinct strata within an overall distribution. The indices are group specific and control for group size. A weighted sum of group stratification indices is the third term that, together with between-group inequality and a weighted sum of within-group inequality adds to the overall Gini index of inequality.     

A tax programming model

This paper presents a new technique for analysing tax reform proposals. The technique is general in the sense that it allows the user to choose the targets he thinks are the most important. Using this technique the Israeli Income Tax Reform of 1975 is evaluated.     

How does beta explain stochastic dominance efficiency?

Stochastic dominance rules provide necessary and sufficient conditions for characterizing efficient portfolios that suit all expected utility maximizers. For the finance practitioner, though, these conditions are not easy to apply or interpret. Portfolio selection models like the mean–variance model offer intuitive investment rules that are easy to understand, as they are based on parameters of risk and return. We present stochastic dominance rules for portfolio choices that can be interpreted in terms of simple financial concepts of systematic risk and mean return. Stochastic dominance is expressed in terms of Lorenz curves, and systematic risk is expressed in terms of Gini. To accommodate for risk aversion differentials across investors, we expand the conditions using the extended Gini.     

THE MEAN‐GINI EFFICIENT PORTFOLIO FRONTIER

A main advantage of the mean‐variance (MV) portfolio frontier is its simplicity and ease of derivation. A major shortcoming, however, lies in its familiar restrictions, such as the quadraticity of preferences or the normality of distributions. As a workable alternative to MV, we present the mean‐Gini (MG) efficient portfolio frontier. Using an optimization algorithm, we compute MG and mean‐extended Gini (MEG) efficient frontiers and compare the results with the MV frontier. MEG allows for the explicit introduction of risk aversion in building the efficient frontier. For U.S. classes of assets, MG and MEG efficient portfolios constructed using Ibbotson (2000) monthly returns appear to be more diversified than MV portfolios. When short sales are allowed, distinct investor risk aversions lead to different patterns of portfolio diversification, a result that is less obvious when short sales are foreclosed. Furthermore, we derive analytically the MG efficient portfolio frontier by restricting asset distributions. The MG frontier derivation is identical in structure to that of the MV efficient frontier derivation. The penalty paid for simplifying the search for the MG efficient frontier is the loss of some information about the distribution of assets.     

The “Make‐up” of a Regression Coefficient: Gender Gaps in the European Labor Market

We provide a comprehensive picture of the relationship between labor market outcomes and age by gender in the 28 European countries covered by the European Statistics on Income and Living Conditions. The analysis is based on a somewhat unconventional approach that refers to concentration curves in the Gini regression framework. It allows identification of ranges in the explanatory variables where local slopes change sign and/or size, i.e. the components that “make up” a regression coefficient. Gender is a crucial factor differentiating participation among workers, although employment–age profiles do not substantially differ. Relevant differences in age profiles concern working‐hours patterns: some countries are characterized by an almost specular behavior in men and women; other countries instead show similar patterns. Generally, earnings increase with age for both men and women. However, local regression coefficients are not monotonic over the entire age range and can even be locally negative in some countries.     

Estimating Beta

This paper presents evidence that Ordinary Least Squares estimators of beta coefficients of major firms and portfolios are highly sensitive to observations of extremes in market index returns. This sensitivity is rooted in the inconsistency of the quadratic loss function in financial theory. By introducing considerations of risk aversion into the estimation procedure using alternative estimators derived from Gini measures of variability one can overcome this lack of robustness and improve the reliability of the results.     

Analyzing the standard deduction as a presumptive tax

Presumptive taxes can be found in the tax system of most developing countries and make sense when the desired tax base is difficult to measure, verify, and monitor. As a substitute for the desired tax base, the presumed tax base is derived from items that can be more readily monitored. Presumed taxes can also be found in developed countries, and examples include fixed depreciation schedules in place of asset-specific measures of decline in asset value, floors on deductible expenses, and the standard deduction. The authors analyze presumptive income taxation with an ultimate goal to initiate an approach to optimal presumptive taxation. This paper begins that task by analyzing the standard deduction in the individual income tax system in the United States.