efficient methods of measuring welfare change and compensated income in terms of ordinary demand functions a utility maximizing consumer with a completely known system of ordinary demand functions q h p c is considered let p qo and p q be two arbitrary equilibrium situations the problem is to evaluate in which of the situations the utility is higher without knowing the utility function revealed preference theory tells that the ordinary demand functions which are in principle observable contain enough information to solve the problem remaining difficulties are therefore mainly computational we present how the compensated income c i c p qo and the compensated demand h p cl1 are calculated with arbitrary accuracy using only the ordinary demand system our two efficient algorithms also have interesting interpretations in terms of index numbers and consumer surplus measures

a simple and efficient method for estimating the magnitude and precision of welfare changes in this article we propose a simple and efficient method of estimating welfare measures in an n equation system we also estimate the variance of these measures the accuracy and convergence properties of our approach are studied the algorithm converges quadratically this is a distinct improvement over the vartia algorithm which converges linearly we demonstrate the method by evaluating the welfare consequences of price changes in the provision of health care the gauss code which is very short is included

the wage curve across the wealth distribution abstract this paper studies the relationship between wages and the unemployment rate across the wealth distribution using microdata from norway covering the entire population of residents between 2000 and 2015 we introduce four novel findings on this relationship first the share of unemployed individuals belonging to the bottom decile of the gross wealth distribution is tenfold larger than that belonging to the top decile 34 and 3 2 respectively second the share of unemployed individuals belonging to the bottom decile of the gross wealth distribution moves in the opposite manner to that of the top decile third the negative slope of the wage curve is confirmed fourth the wage to unemployment ratio increases monotonically with gross wealth

the last word on the wage curve abstract since 1990 there has been extensive international research on the responsiveness of wages of individuals to changing local labour market conditions for many countries an inverse relationship between wages and local unemployment rates has been found in their book the wage curve blanchflower and oswald argued that the unemployment elasticity of pay is around 0 1 in most countries in a 1995 literature survey card referred to this striking empirical regularity as being close to an empirical law of economics nonetheless reported elasticities do vary even excluding outliers between about 0 5 and 0 1 there is also considerable heterogeneity among wage curve studies in terms of data and model specification this paper carries out meta analytic techniques on a sample of 208 elasticities derived from the literature to uncover the reasons for the differences in empirical results across studies several causes of variation are identified there is also clear evidence of downward publication bias in addition many reported t statistics are biased upwards due to the use of aggregate unemployment rates a maximum likelihood method and a trimming procedure are used to correct for these biases both methods give similar results for our sample an unbiased estimate of the wage curve elasticity at the means of study characteristics is about 0 07

reconciling the wage curve and the phillips curve the wage curve is the negative relationship that links wage levels to the unemployment rate it fits accurately with modern non competitive labour market models but goes against a phillips curve modelling because the latter ties wage growth to the unemployment rate in this article we present a comprehensive review of these non competitive models highlighting recent contributions that try to eliminate the possible gap that exists between the concepts of the wage curve on the one hand and the phillips curve on the other copyright blackwell publishers ltd 2005

what has been learned about labor supply in the past twenty years the main advance in the study of labor supply in the past 20 years has come in recognizing and interpreting the variety of different labor supply functions that coexist in the empirical literature a crucial theoretical distinction with important empirical payoff is that between labor supply choices at the extensive margin i e labor force participation and employment choices and choices at the intensive margin i e choices about hours of work or weeks of work for workers another important distinction is the one between a descriptive labor supply function and a structural supply function that can be the basis for out of sample policy investigations concerning responses to tax and welfare programs and evaluations of welfare losses a full understanding of the participation hours dichotomy leads to an appreciation of the importance of the problem of selection bias what is the wage to impute to a nonworking person these distinctions are a legacy of the research conducted on labor supply over the past 20 years many important empirical questions have been addressed i how strong are the effects of taxes welfare and transfer programs on labor supply ii how important is intertemporal substitution can life cycle labor supply models explain business cycle labor supply behavior iii has the consensus view of the 1960 s of high labor supply elasticities for married women and low labor supply elasticities for married men held up all of the empirical evidence assembled on labor supply must be called into question in the light of important research on the basic quality of the data conducted by analysts at the university of michigan i discuss this evidence in a concluding section except for my discussion of measurement issues i focus only on the major discoveries about which a general consensus has emerged

deadweight loss theoretical size relationships and the precision of measurement in this article we examine the size relation of several deadweight loss measures and derive variance calculations for a numerical methods estimator of deadweight loss two examples are given to demonstrate the importance of these results

wage flexibility evidence from five eu countries based on the wage curve abstract this paper examines wage flexibility in five eu countries by estimating their respective wage curves using information provided by a homogeneous panel data set the echp we are able to demonstrate that contrary to the habitual finding the wage elasticity to unemployment in fact varies across countries

the wage local unemployment relationship in a highly regulated labour market greece livanos i the wage local unemployment relationship in a highly regulated labour market greece regional studies using data obtained from 80 000 employees this paper examines the relationship between individual wages and regional unemployment in greece the findings highlight the dynamics of the local labour markets in a case such as greece where the organisation for economic co operation and development oecd claims that wage flexibility is limited this study does not find evidence that wages in greece are rigid but finds a wage curve elasticity of close to 0 1 which corresponds to evidence from many counties interestingly graduates are found to be the most responsive group of workers to the behaviour of local labour markets livanos i le rapport salaire chomage local dans un marche du travail extremement reglemente la grece regional studies a partir des donnees provenant de 80 000 salaries cet article cherche a examiner le rapport entre les salaires des individus et le chomage regional

regional welfare loss meaures of the 1973 oil embargo a numerical methods approach 1987 regional welfare loss meaures of the 1973 oil embargo a numerical methods approach applied economics vol 19 no 10 pp 1317 1327

a comparison of the labor supply findings from the four negative income tax experiments between 1968 and 1982 the united states federal government sponsored four negative income tax experiments this paper provides a set of consensus estimates of the labor supply responses to these experiments it is found that despite the wide range of treatments and evaluation methodologies the results are remarkably consistent on average husbands reduced labor supply by about the equivalent of two weeks of full time employment wives and single female heads reduced labor supply by about the equivalent of three weeks of full time employment youth reduced labor supply by about the equivalent of four weeks of full time employment estimated income and substitution effects are quite similar to those obtained from nonexperimental studies

exact consumer s surplus and deadweight loss consumer s surplus is a widely used tool in applied welfare economics both economic theorists and cost benefit analysis often use consumer s surplus despite its somewhat dubious reputation the basic idea is to evaluate the value to a consumer or his willingness to pay for a change in price of a good from say pricep to pricep because price changes affect consumer welfare an evaluation of this effect is often a key input to public policy decisions yet consumer s surplus is probably the most controversial of widely used economic concepts both paul samuelson and ian little conclude that the economics profession would be better off without it it is my feeling of the situation that substantial agreement exists on the correct quantities to be measured the amount the consumer would pay or would need to be paid to be just as well off after the price change as he was before the price change the quantities correspond to john hicks compensating variation measures an alternative measure which takes ex post price change utility as the basis of comparison is hicks equivalent variation the controversy arises in the measurement of these quantities the usual measurement procedure is to use the area to the left of the marshallian market demand curve between two price levels jules dupuit originated this measure of welfare change and alfred marshall and hicks derived appropriate conditions for its use the primary condition for the area to the left of the demand curve to correspond to the compensating variation is to have constant marginal utility of income marshall gave this condition and if it holds the same quantity will be derived as the area to the left of the compensated hicksian demand curve this area to the left of the compensated demand curve is exactly what the compensating variation and equivalent variation measure thus the constant marginal utility of income is a sufficient condition for marshallian consumer s surplus to be equal to hicks consumer s surplus in this case arnold harberger s plea to use the welfare triangle as one half times the product of the price change times the quantity change to measure deadweight loss corresponds to the correct theoretical amount of welfare change in a recent paper robert willig derives bounds for the percentage difference between the correct measure of either the compensating or equivalent variation and the marshallian measure derived form the market demand curve his bounds which depend on the income elasticity of demand for the single good in the region of price change being considered as well as the proportion of the consumer s income spent on the good demonstrate that the marshallian consumer s surplus is often a good approximation to hicks consumer s surplus the fact that the proportion of the consumer s income spent matters as well as the income elasticity was first pointed out by harold hotelling willig contends that the approximation error will be less than the errors involved in estimating the demand curve thus he hopes to remove the need for apology that applied economists often need to give to theorists who remark on the inappropriateness of using marshallian consumer s surplus to measure welfare change however in this paper i show that for the case primarily considered by willig of a single price change which is also the situation in which consumer s surplus is often used in applied work no approximation is necessary professor of economics massachusetts institute of technology and research associate national bureau of economic research i would like to thank peter diamond erwin diewert daniel mcfadden robert merton robert solow hal varian joel yellin and the referees for help and comments research support from the national science foundation is acknowledged the reason that we still have two rather than one of samuelson s six measures of consumer s surplus arises from an index number problem of the correct basis for the welfare comparison i will give both measures but plan to concentrate on the compensating variation

do firms pay efficiency wages evidence with data at the firm level this study tests the efficiency wage hypothesis by estimating wage and quit equations with data from the employment opportunity pilot project survey of firms an efficiency wage model is derived that predicts effects of turnover costs and unemployment on wages as functions of first and second derivatives from the quit equation the model is tested by examining the relationships between the coefficients in the wage and quit equations the results are generally favorable to efficiency wage theory other important findings are that firm characteristics raising workers productivity tend to raise wages and that a rise in turnover costs reduces quits

compensating variation consumer s surplus and welfare the compensating variation was defined by j r hicks 1942 as the amount one would have to deduct from a person s income to make him just as well off after a change in prices and income as he had been in the initial situation if the compensating variation is positive the individual is better off under the new situation since the compensating variation furnishes a uniquely defined numerical cardinal indicator of welfare improvement it provides an implicit ranking of alternative prospective situations not only relative to the initial situation but also relative to each other in practice this appears to be how this and other tools of cost benefit analysis are actually used one is interested in knowing not only whether a particular bridge or a particular excise tax will lead to an improvement in welfare but which out of a set of alternative bridges or alternative tax systems will improve welfare the most 1 in this paper we analyze conditions under which the compensating variation can be validly used in this generalized sense these turn out to be precisely the same as conditions previously derived see our 1976 paper for the valid use of consumer s surplus as a welfare measure in our final section we analyze the problem of deriving the generalized equivalent and compensating variations either exactly or approximately from observable demand functions by means of generalizations of or alternatives to consumer s surplus

child benefits maternal employment and children s health evidence from canadian child benefit expansions industrial countries typically provide income transfers to families with young children traditionally these family benefit programs were motivated by distributional concerns families with children faced higher expenditure needs than other families and a concern for horizontal equity led to transfers throughout the 1990s however many countries introduced benefits aimed at improving labor market incentives for mothers with young children in the united states the earned income tax credit eitc has played this role but similar programs exist in europe canada and elsewhere much effort has been expended on evaluating the labor market impact of child benefits however less work has examined the impact of these programs on broader outcomes such as the mental and physical health of both the children and the parents outcomes that follow from the traditional equity motivation for child benefits in this paper we review and extend some recent results studying the expansion of family benefits in canada in particular we exploit a change that occurred in the province of manitoba to highlight the effects of child benefits on both labor supply and family outcomes

macroeconomic shocks in a dynamized model of the natural rate of unemployment at the microeconomic level this paper revises and broadens the theory of the equilibrium rate of unemployment the natural rate in a monetary model the authors begin by recreating steven salop s turnover model of the natural rate in its naturally intertemporal version useful findings on impact effects and the adjustment process at the individual firm necessarily excluded by the static version are shown to derive from the dynamized model at the macroeconomic level the authors then provide a general equilibrium analysis of some shocks showing how they drive the equilibrium unemployment rate and in varying ways also disturb the real rate of interest copyright 1992 by american economic association

welfare reform in european countries a microsimulation analysis this article compares the effects of increasing traditional welfare to introducing in work benefits in the 15 pre enlargement countries of the european union we use a labour supply model encompassing responses to taxes and transfers along both the intensive and extensive margins and the euromod microsimulation model to estimate current marginal and participation tax rates we quantify the equity efficiency trade off for a range of elasticity parameters in most countries because of large existing welfare programmes with high phase out rates increasing traditional welfare is undesirable unless the redistributive tastes of the government are extreme in contrast the in work benefit reform is desirable in a very wide set of cases

when the money runs out do cash transfers have sustained effects on human capital accumulation this study examines the medium term effects of a two year cash transfer program targeted to adolescent girls and young women significant declines in hiv prevalence teen pregnancy and early marriage among recipients of unconditional cash transfers ucts during the program evaporated quickly two years after the cessation of transfers however children born to uct beneficiaries during the program had significantly higher height for age z scores at follow up on the other hand conditional cash transfers ccts offered to out of school females at baseline produced a large increase in educational attainment and a sustained reduction in the total number of births but caused no gains in health labor market outcomes or empowerment the findings point to both the promise and the limitations of cash transfer programs for sustained gains in welfare among young women

job competition and the wage curve longhi s job competition and the wage curve regional studies the wage curve literature consistently finds a negative relationship between regional unemployment rates and regional wages the most widely accepted theoretical explanations interpret the unemployment rate as a measure of job competition this paper proposes new ways of measuring job competition alternative to the unemployment rate and finds that the negative relationship still holds when job competition is measured following the job search literature while for men the wage impact of the theoretically based measures of job competition is rather similar to the wage impact of the unemployment rate for women the difference is substantial longhi s la competition pour l emploi et la courbe des salaires regional studies la documentation sur la courbe des salaires affirme systematiquement que le taux de chomage regional est en correlation faible avec les salaires regionaux les explications theoriques les plus recues considerent le taux de

a model of the wage curve abstract this paper uses a simple dynamic efficiency wage model of phelps 1994 phelps and hoon 1992 to explain the wage curve of blanchflower and oswald 1994 we derive a theoretical elasticity of wages with respect to employment which depends on only one parameter this invariance may go part of the way to explaining why blanchflower and oswald found wage curve estimates that were so similar across countries

measuring trade creation and trade diversion in the central american common market a hicksian alternative abstract a large number of empirical studies on customs union formation or economic integration base their evaluation of the welfare implications of regional integration schemes on trade creation and trade diversion measures that are derived from an ordinary marshallian import demand curve this approach is however influenced by the path dependence problem which affects the reliability of the estimated results this paper derives alternative hicksian measures of trade creation and trade diversion using the popular notions of compensating and equivalent variation these notions allow for more exact estimation of the welfare impact since they incorporate the path independence condition these new measures are applied to the integration effort in the central american common market cacm the overall results show that economic integration in central america has been largely trade diverting for the selected commodity groups

child cash benefits and family expenditures evidence from the national child benefit income may improve child outcomes through two mechanisms as a direct input into health and education or indirectly by reducing household financial stress we exploit policy induced changes in refundable tax benefit income in canada to study these two potential mechanisms our findings suggest that additional income may improve outcomes through both mechanisms some benefit income is spent on direct education inputs while some is spent on everyday items likely to improve the general conditions children face additionally some families reduce spending on risky behaviour items spending responses to benefit generosity appear to vary by income and by child age prestations pour enfants en especes et depenses des familles ce que revele la prestation nationale pour enfants le revenu permet d ameliorer le developpement d un enfant gr ce a deux mecanismes en contribuant directement a l education et a la sante et en reduisant indirectement les difficultes financieres au sein du foyer afin d etudier ces deux mecanismes nous nous appuyons sur les modifications politiques apportees au credit d impot remboursable de type prestation fiscale pour revenu de travail au canada nos resultats suggerent que par l entremise de ces deux mecanismes la situation peut s ameliorer gr ce a un revenu additionnel une partie de ces prestations est depensee directement pour l education tandis qu une autre est utilisee pour les biens quotidiens susceptibles d ameliorer les conditions de vie generales de l enfant de plus certaines familles reduisent les depenses d articles pouvant induire des comportements a risque les types de depenses lies aux prestations sociales semblent varier en fonction des revenus et de l ge des enfants

consumer s surplus without apology the purpose of this paper is to settle the controversy surrounding consumer s surplus and by so doing to validate its use as a tool of welfare economics i will show that observed consumer s surplus can be rigorously utilized to estimate the unobservable compensating and equivalent variations the correct theoretical measures of the welfare impact of changes in prices and income on an individual i derive precise upper and lower bounds on the percentage errors of approximating the compensating and equivalent variations with consumer s surplus these bounds can be explicitly calculated from observable demand data and it is clear that in most applications the error of approximation will be very small in fact the error will often be overshadowed by the errors involved in estimating the demand curve the results in no way depend upon arguments about the constancy of the marginal utility of income consequently this paper supplies specific empirical criteria which can replace the apologetic caveats frequently employed by those who presently apply consumer s surplus moreover the results imply that consumer s surplus is usually a very good approximation to the appropriate welfare measures to preview below i establish the validity of these rules of thumb for a

the integration of child tax credits and welfare evidence from the national child benefit program abstract in 1998 the canadian government introduced a new child tax credit the innovation in the program was its integration with social assistance welfare some provinces agreed to subtract the new federally paid benefits from provincially paid social assistance partially lowering the welfare wall other provinces did not integrate benefits providing a quasi experimental framework for estimation we find large changes in social assistance take up and employment in provinces that provided the labour market incentives to do so in our sample the integration of benefits can account for between 19 and 27 of the decline in social assistance receipt between 1997 and 2000

a model of the natural rate of unemployment since the publication of edmund phelps volume the new macroeconomics has treated the labor market as a dynamic process of rational search by unemployed workers for available vacancies wages are viewed as at least potentially flexible though free contracting between workers and firms may lead to fixed wages in the short run imperfect information is a crucial element of the theory for it implies both a need for contracting and a need for rational search rather than simple market clearing in each period a positive rate of frictional unemployment may exist in equilibrium denoted as the natural rate this unemployment is due to the frictions in the search process and imperfections in information rather than to any deficiency in aggregate demand milton friedman defined the natural rate as the level that would be ground out by the walrasian system of general equilibrium equations provided there is embedded in them the actual structural characteristics of the labor and commodity markets including market imperfections stochastic variability in demands and supplies the cost of gathering information about job vacancies and labor availabilities the costs of mobility and so on p 8 this paper reexamines the micro foundations of the natural rate in a model of labor market equilibrium in which turnover flows and imperfect information are explicitly considered workers may quit their current jobs to enter the unemployment pool in order to search among available vacancies for a more preferred position firms economize on turnover by an appropriate wage policy

the effect of universal child benefits on labour supply using a difference in differences estimator i find the canadian universal child care benefit has significant negative income effects on the labour supply of married individuals the likelihood of lower educated mothers to participate in the labour force is reduced 3 2 percentage points when receiving the benefit median hours worked per week among lower educated mothers is reduced by 1 9 hours the effects on higher educated mothers are substantial with median hours worked among higher educated mothers reduced by nearly one hour per week for men the evidence suggests small but significant income effects on labour supply consistent with the literature on labour supply elasticities