A new approach to the construction of family equivalence scales

The question of the money compensation which should be given to families of different sizes in order that they enjoy equal welfare levels is considered. By comparison of individual welfare functions, estimated for 3,000 individuals in the Netherlands, family welfare equivalence scales are derived. The obtained equivalence scale depends on family size and the ages of the family members. There are considerable ‘economies of scale’. The method employed may be used to derive money compensations for other situational differences. Evidence was found that people adapt their needs to situational changes. That effect was quantitatively assessed. Results are obtained and compared for various social subgroups.     

Adult equivalence scales and food expenditures: an application to Mexican beef and pork purchases

In the analysis of food expenditures, the use of a simple count of household members as an estimate of household size implicitly assumes each household member has the same marginal impact. In this analysis of Mexican food expenditures, endogenously determined adult equivalence scales are estimated in such a way that these marginal impacts are allowed to vary by household member age and gender. The results of a series of hypothesis tests indicate a rejection of the implied null hypothesis of equal marginal expenditure impacts associated with the use of the traditional count based household size variable. This study also rejects the null hypothesis of the equality of adult equivalent scales across the commodities included in this analysis.     

Estimating inequality in the distribution of welfare using demand models

In this paper two demand models with general household equivalence scales (GES) are estimated. These GES are identifiable, since they have the independence of base utility (IB) or equivalence scales exactness (ESE) property. Estimates of household characteristics adjusted income can then be calculated relative to a specific household type. This “individual equivalent income (IEI) is then used to calculate measures of inequality in the distribution of welfare. As more than one model is estimated, the sensitivity of these estimates to model specification changes can be considered. Comparisons are also made to estimates of inequality based on household income. It is found that absolute inequality is sensitive to model specification, but relative inequality is not. This is true using indices of inequality of the Atkinson (1970), Kolm (1976a,b) and Sen (1973) type, or more general measures of inequality based on estimates of Lorenz curve decile ordinates, constructed using methods introduced by Beach and Davidson (1983). Thus, if absolute measures of inequality are required, these results suggest some further research is required to determine a class of models which is less sensitive to model specification error. However, if only relative measures of inequality are needed, then estimates of inequality appear to be very robust to the choice of model specification.     

Semi-parametric models for satisfaction with income

An overview is presented of some parametric and semi-parametric models, estimators, and specification tests that can be used to analyze ordered response variables. In particular, limited dependent variable models that generalize ordered probit are compared to regression models that generalize the linear model. These techniques are then applied to analyze how self-reported satisfaction with household income relates to household income, family composition, and other background variables. Data are drawn from the 1998 wave of the German Socio-Economic Panel. The results are used to estimate equivalence scales and the cost of children. We find that the standard ordered probit model is rejected, while some semi-parametric specifications survive specification tests against nonparametric alternatives. The estimated equivalence scales, however, are often similar for the parametric and semi-parametric specifications.JEL Classification: C14, C35, D12Correspondence to: Charles BellemareWe are grateful to an anonymous referee and to participants of a CeMMAP/ESG workshop at University College London and seminars at CentER (Tilburg University) and Humboldt University Berlin for useful comments.     

The dynamics of preference formation

Individual's preferences are explained on the basis of two types of influences, his own past consumption and the consumption of others which is directly observable by him. These effects are estimated using the “individual welfare function” approach of Van Praag, and a model of preferences formation.     

COMPARISON OF ALTERNATIVE TAX AND TRANSFER TREATMENT OF CHILDREN USING ADULT EQUIVALENCE SCALES

This paper estimates adult equivalence scales in the context of a nonlinear demand system using cross-section individual household data. It then evaluates the treatment of children under the tax allowance and child benefit systems on the basis of the estimated equivalence scales. The results suggest that a child benefit system allowing for economies of scale in the family is consistent with the cost of children implied by the notion of adult equivalence scale.     

THE SENSITIVITY OF INCOME INEQUALITY TO CHOICE OF EQUIVALENCE SCALES

To account for the fact that a household's needs depend on its size and composition most studies on income inequality adjust the observed household incomes by equivalence scales. However, since the rationale for choosing a specific scale is rather vague the importance of testing the sensitivity of income inequality estimates to choice of equivalence scales has long been acknowledged. The sensitivity studies in the literature are restricted to equivalence scales that do not depend on the income level of the reference household which means that the effect of a rise in the household size on the scale rate does not depend on whether the household is poor or rich. By using Norwegian micro-data it is shown that the introduction of an income-dependent scale produces results that are in conflict with the widespread view of robustness of results to choice of equivalence scales.     

Household Composition, Equivalence Scales and the Reliability of Income Distributions: Some Evidence for Indigenous and Other Australians

Indigenous families experience substantial and multiple forms of economic burden arising from the size and structure of their families and households. Indigenous households are more likely to have more than one family in residence than other Australian households and are more likely to be multigenerational with older Indigenous people living with younger people in extended family households. This paper seeks to characterise the economies of household size in Indigenous and other Australian households using equivalence scales that cover the range of feasible values and 1995 National Health Survey data.     

Aggregation of Utility and Equivalence Scales: A Solution to the Pangloss Critique

Definitions of equivalence scales are usually based on a household utility function. This may be founded on an assumption of the household maximizing a welfare function of individual utilities. Basing inter-household comparisons of welfare on this approach is fallacious because households put different weight on the utility of the various household members, a weighting that does not necessarily correspond to an ethically sound aggregation of utility. This is called the Pangloss critique. To solve the problem, I suggest keeping the model of household behavior, but to introduce a new function to aggregate the household members' utilities. Equivalence scales based on this approach are shown to have desirable properties.     

Accounting for the decline in Spanish household expenditures inequality during the 1980s

In this paper we apply decomposition methods to analyze some of the factors accounting for the decrease in household expenditures inequality in Spain during the 1980s. We adopt a simple one-parameter model in which equivalence scales depend only on household size. Then we propose an inequality decomposition method which minimizes equivalence scales' potential contamination problems. We find that most of the change in overall inequality is due to a reduction in the within-group term in the partition by household size. The bulk of this reduction is accounted for by changes at the lower tail of the distribution in the partitions by the socioeconomic category and educational level of the household head. These two findings are independent of the equivalence scales parameter.     

A SIMPLIFIED MODEL FOR SOCIAL WELFARE ANALYSIS: AN APPLICATION TO SPAIN, 1973–74 TO 1980–81

Most of the literature on income distribution has concentrated on inequality. In this paper we introduce a concern for efficiency in a social welfare model. We propose a simple but useful specification which combines three features: (i) the selection of measurement instruments in the relative and the absolute case on the grounds of their properties for applied work; (ii) a procedure to make welfare comparisons across households with different needs, in a model in which equivalence scales depend only on house-hold size; and (iii) the use of household specific statistical price indices to make intertemporal comparisons in real terms. The methodology is applied to the study of the role of prices and demographic effects in the evolution of the standard of living in Spain from 1973–74 to 1980–81.     

Generalised cost scaling: A new approach to demographic variables in demand analysis

A new approach to modelling equivalence scales and household demand systems is introduced and its usefulness empirically demonstrated. The empirical results suggest that price effects on the general equivalence scale are more important than utility effect.     

Equivalence Scales in an Intertemporal Setting with an Application to the Former West Germany

Equivalence scales provide answers to questions like how much a household with two children needs to spend compared to a couple to attain the same welfare level. These are important questions for child allowances, social benefits and to assess the cost of children over the life-cycle for example. We discuss equivalence scales in an intertemporal setting with uncertainty. To estimate equivalence scales we use a panel from German households (GSOEP) containing subjective data on satisfaction with life and satisfaction with income to represent the welfare level. Because satisfaction is measured on a discrete scale we use limited dependent variable models for panel data in estimation. Using satisfaction with life data we find that larger households do not need any additional income to be as satisfied as a couple. Using satisfaction with income, however, yields equivalence scales that increase with household size.     

Comparing the True Cost of Living Indices of Demographically Different Households

The comparison of true cost of living indices between demographically different households (relative equivalence scale) is argued to be sensitive to the way demographic characteristics enter demand analysis. In particular, parameters reflecting the cost of demographic characteristics at base prices, though themselves do not have welfare (equivalence scale) interpretation, can alter the benchmark from which demographically varying inflation effects are measured. The empirical analysis, based on a rank‐3 demand system applied to UK individual household data, shows that the inflation adjustment of child benefits can vary with the way demographic costs at base period prices are specified.     

A CROSS-COUNTRY STUDY OF EQUIVALENCE SCALES AND EXPENDITURE INEQUALITY ON UNIT RECORD HOUSEHOLD BUDGET DATA

Inequality comparisons require equivalence scales to account for differences in household size and composition. The multiplicity of equivalence scale models makes the sensitivity of the inequality calculations to the scale used a significant policy issue. Such an investigation based on unit records of two adult households from Italy, Australia, South Africa, Thailand, Peru, Philippines, India and Tanzania was our principal motivation. The equivalence scale varies across countries and between different types of children. Inequality rankings of countries, though not the inequality decomposition between households of different composition, are robust to the equivalence scale used.     

Pensions for Singles and Couples

Retirement policies often seek to set pensions at levels that enable single and married pensioners to have the same standard of living. The existing literature on consumer equivalence scales provides little assistance in reaching this policy objective, as the estimated scales are both imprecise and reliant upon strong and opaque assumptions. This paper proposes an alternative modeling strategy which has low data requirements and involves the use of detailed, but transparent, assumptions about the extent of joint consumption of particular commodities. These assumptions are embedded in an economic model of household consumption and combined with household expenditure data to calculate consumer equivalence scales. It is estimated that, in 2003–04, Australian couples of Age Pension age who owned their own home needed expenditures between 1.32 and 1.60 times that of a single person. These scales were lower than those used in the pension system.     

EQUIVALENCE SCALES, WELL-BEING, INEQUALITY, AND POVERTY: SENSITIVITY ESTIMATES ACROSS TEN COUNTRIES USING THE LUXEMBOURG INCOME STUDY (LIS) DATABASE

The Luxembourg Income Study (LIS) database on which this article is based offers researchers exciting new possibilities for international comparisons based on household income microdata. Among the choices the LIS microdata allows a researcher, e.g. income definition, income accounting unit, etc., is the choice of family equivalence scale, a method for estimating economic well-being by adjusting income for measurable differences in need.
The range of potential equivalence scales that can and are being used in the ten LIS countries and elsewhere to adjust incomes for size and related differences in need span a wide spectrum. The purpose of this paper is to review the available equivalence scales and to test the sensitivity of various income inequality and poverty measures to choice of equivalence scale using the LIS database. The results of our analysis indicate that choice of equivalence scale can sometimes systematically affect absolute and relative levels of poverty; and inequality and therefore rankings of countries (or population subgroups within countries). Because of these sensitivities, one must carefully consider summary statements and policy implications derived from cross-national comparisons of poverty and/or inequality.     

Household Decisions and Equilibrium Efficiency

A general equilibrium model is introduced where a household may consist of several members, each with individual preferences and/or resources. When households obey collective rationality, certain intrahousehold externalities can be fully internalized by the respective households so that competitive exchange among households is efficient. As a rule, however, such intrahousehold externalities are not fully internalized by individual household members acting in their personal interest so that competitive exchange among such individuals is only efficient in exceptional cases.     

Education, segregation and marital sorting: theory and an application to the UK

This paper presents a model of the intergenerational transmission of education and marital sorting. Parents matter both because of their household income and because their human capital determines the distribution of a child's disutility from making an effort to become skilled. We show that an increase in segregation has potentially ambiguous effects on the proportion of individuals that become skilled in the steady state, and hence on marital sorting, the personal and household income distribution, and welfare. We calibrate the steady state of our model to UK statistics. We find that an increase in the correlation of spouses in their years of education will bring about a small increase in the proportion of skilled individuals when the relative supply of skilled individuals is variable at the family level and a decrease when this supply is fixed. Ex-ante utility (of an unborn individual) increases in the first case and decreases in the second. The welfare effect of increased sorting is negative for unskilled individuals and positive for skilled individuals. Increased segregation always leads to an increase in welfare inequality between skilled and unskilled individuals.     

International Poverty Comparisons on Unit Record Data of Developing and Developed Countries

Cross country poverty comparisons on unit records have, rarely, involved both developing and developed countries. The present study attempts to fill this gap by comparing poverty across fourteen nations with diverse economic and demographic characteristics and at vastly different stages of economic development. The study contains evidence on (a) cross country variation in the equivalence scales estimated in the presence of both household size economies and adult/child relativities, (b) impact of demographic adjustment of the poverty line, that incorporate household size and composition changes, on the poverty rates, and (c) sensitivity of the poverty estimates and their rankings to the ‘equivalence elasticity’. The study finds that country rankings based on per capita GNP bear very little resemblance with that based on the aggregate poverty rates. The latter hide substantial variation in the poverty estimates across different household types.