Asymptotic Marginal Tax Rate of Individual Income Tax in China

This paper examines the asymptotic marginal rate of individual income tax which maximizes China's social welfare through numerical simulation based on the elasticity of China's labor supply, income distribution and the social objectives of redistribution in accordance with the optimal direct taxation theory. Taking advantage of the optimal direct taxation model with consideration of the income effect, it comes to the conclusion that combined with China's reality, the asymptotic marginal rate of individual labor income tax in China should be between 35% and 40%.     

The implicit welfare weights used when maximizing aggregate surplus

Aggregate consumer and producer surplus is a special type of social welfare function. In this paper, we investigate how individual welfare weights and how the social marginal utility of an increase in an individual's income behave if one uses aggregate surplus as a measure of social welfare. Our conclusion is that aggregate surplus is an ethically unacceptable measure of social welfare.I am grateful to B. De Borger and to an anonymous referee for helpful comments and suggestions on an earlier version of this paper. Of course, all remaining errors are mine.     

Interdependent welfare functions and optimal income distribution

The relationship between income distribution and social welfare is empirically analyzed, while explicitly allowing for the interdependence of individual welfare functions. The social welfare function is taken to be an additive function of individual welfare functions of income (WFIs). On the basis of Dutch data it is found that under certain conditions (such as absence of effects of income redistribution on productivity) an equal distribution of incomes is suboptimal. The interdependence of WFIs appears to have a pronounced effect on policy conclusions concerning the desirability of income redistribution vis-à-vis economic growth.     

A Class of Social Welfare Functions That Depend on Mean Income and Income Polarization

A well‐established strategy for evaluating alternative income distributions is based on the use of an abbreviated social welfare function that depends only on mean income and an inequality index. In keeping with this literature, we study the existence of social welfare functions that can be written as a trade‐off between efficiency and income polarization. This paper proposes a class of social welfare functions consistent with the Esteban and Ray, and Duclos, Esteban and Ray income polarization indices. For this result, we expand the domain for personal preferences to incorporate not only own income but also the well‐being of others. In addition, we link our proposal to the literature on relative satisfaction. The approach is illustrated by an empirical application using the CPS database for the United States in the period 1991–2010.     

The Optimal Linear Income Tax Model: Utility or Equivalent Income?

This paper compares the use of equivalent income with that of utility, in the social welfare function, in optimal income tax models. Equivalent income is a money metric welfare measure that, unlike utility, is not affected by monotonic transformations of utility. The use of equivalent income is found to produce an optimal tax rate that is more sensitive to the degree of inequality aversion, compared with the use of utility. With Cobb-Douglas and CES utility functions, the optimal tax rate is the same for utility and equivalent income where relative inequality aversion is unity. When using equivalent incomes, the case for high marginal rates does not depend on the assumption of a very low elasticity of substitution between consumption and leisure.     

Household bargaining and the design of couples’ income taxation

This paper studies the design of couples’ income taxation when consumption and labor supply decisions within the couple are made by maximizing a weighted sum of the spouses’ utilities; bargaining weights are given but specific to each couple. Information structure and labor supply decisions follow the Mirrleesian tradition. However, while the household's total consumption is publicly observable, the consumption levels of the individual spouses are not observable. With a utilitarian social welfare function we show that the expression for a spouses’ marginal income tax rate includes a “Pigouvian” (paternalistic) and an incentive term. The Pigouvian term favors a marginal subsidy (tax) for the high-weight (low-weight) spouse, whose labor supply otherwise tends to be too low (high). The sign and the magnitude of the incentive term depends on the weight structure across couples. In some cases both terms have the same sign and imply a positive marginal tax for the low-weight spouse (who may be female) and a negative one for the high-weight spouse (possibly the male). This is at odds with the traditional Boskin and Sheshinski results. Our conclusions can easily be generalized to more egalitarian welfare functions. Finally, we present numerical simulations based on a calibrated specification of our model. The calculations confirm that the male spouse may well have the lower (and possibly even negative) marginal tax rate.     

Measuring Welfare Changes and the Excess Burden of Taxation*

This paper examines methods used to evaluate the welfare effects of tax changes, with emphasis on the measurement problems involved. Welfare changes and excess burdens are defined, along with approximations. Aggregate measures, using a social welfare function, are examined. The special case of income taxation is then examined, leading to discussion of the marginal welfare cost of taxation and the marginal cost of funds. The measurement methods examined include the use and estimation of direct and indirect utility functions, along with the algebraic and numerical integration from estimated Marshallian demand functions to the compensated demands. The use of equivalent incomes to examine tax changes, using unit record data from household budget surveys, is then discussed.     

The assumption of equal marginal utility of income: how much does it matter?

In most applied cost–benefit analyses, individual willingness to pay (WTP) is aggregated without using explicit welfare weights. This can be justified by postulating a utilitarian social welfare function along with the assumption of equal marginal utility of income for all individuals. However, since marginal utility is a cardinal concept, there is no generally accepted way to verify the plausibility of this latter assumption, nor its empirical importance. In this paper, we use data from seven contingent valuation studies to illustrate that if one instead assumes equal marginal utility of the public good for all individuals, aggregate monetary benefit estimates change dramatically.     

Tax revenue and the marginal cost of public funds in Sweden

We assess the welfare cost of raising a marginal unit of tax revenue in a balanced-budget, general-equilibrium framework. The calculated social cost of an increment of public funds is sensitive to both the specific type of tax increase and the type of public spending used on the margin. ‘Best-guess’ assumptions on labor supply elasticities yield marginal costs of public funds for different fiscal mixes of between 0.67 and 4.51 at prevailing tax rates in Sweden. Alternative labor supply assumptions well within the range of current estimates substantially affect the results and can imply infinite marginal welfare costs. Marginal welfare costs are also sensitive to assumptions about both the income and substitution effects of labor supply.     

Multi-dimensional risk and the cost of business cycles

This paper analyzes the welfare costs of business cycles when workers face uninsurable idiosyncratic labor income risk. In accordance with the previous literature, this paper decomposes labor income risk into an aggregate and an idiosyncratic component, but in contrast to the previous literature, this paper allows for multiple sources of idiosyncratic labor income risk. Using the multi-dimensional approach to idiosyncratic risk, this paper provides a general characterization of the welfare cost of business cycles when preferences and the (marginal) process of individual labor income in the economy with business cycles are given. The general analysis shows that the introduction of multiple sources of idiosyncratic risk never decreases the cost of business cycles, and strictly increases it if there are cyclical fluctuations across the different sources of risk. This paper also provides a quantitative analysis based on a version of the model that is calibrated to match US labor market data. The quantitative analysis suggests that realistic variations across two particular dimensions of idiosyncratic labor income risk increase the welfare cost of business cycles by a substantial amount.     

Dual interpersonal comparisons of utility and the welfare economics of income distribution

Interpersonal comparisons can be of utility levels and/or of utility differences. Comparisons of levels can be used to define equity in distributing income. Comparisons of differences can be used to construct an additive Bergson social welfare function over income distributions. When both utility levels and utility differences are compared, one can require the constructed additive Bergson social welfare function to indicate a preference for more equitable income distributions. This restricts the form of both the individual utility functions and the optimal distribution of income. The form of these restrictions depends on whether the levels and differences of the same utility functions are being compared.     

Optimal Redistribution with Heterogeneous Preferences for Leisure

This paper examines the properties of the optimal nonlinear income tax when preferences are quasi–linear in leisure and individuals differ in their ability and their preferences for leisure. The government seeks to redistribute income. It can perfectly observe the level of endogenous income but cannot observe either ability or preferences. The heterogeneity of preferences leads to problems of comparability between individual utilities which challenge the design of redistributive schemes. We analyze the consequences of adopting a utilitarian social welfare function where the government is allowed to give different weights to individuals with different preferences. Under this particular social objective and given the quasi–linearity of preferences, we are able to obtain closed–form solutions for the marginal tax rates and to examine the progressivity of the tax system according to the weights used.     

Optimal income taxation and migration: a world welfare point of view

This paper considers a world in which a distortionary income tax must be employed to raise and redistribute revenue. The optimal taxation of emigrants relative to those left behind is examined under the objective of world social welfare maximization. When tastes for consumption and labor do not depend directly on residence, the optimal tax system induces individuals to reside where the marginal products of their chosen labor supplies are highest. This paper also proves the existence of an optimal tax system under which each individual resides where he pays the greatest tax. This result holds even when tastes are allowed to vary with residence in an interesting way.     

STATUS QUO IN THE WELFARE ANALYSIS OF TAX REFORMS

The welfare analysis of tax reforms most often consists of comparing the post‐reform distribution of individual welfare with the pre‐reform distribution or possibly that obtained from another reform as if they were completely independent. Such an “anonymous” approach does not take into account “changes” in individual situations, generally the main source of contention in any tax reform debate. This paper proposes a welfare criterion that allows comparison of reforms while taking into account individual status quo—i.e. pre‐reform—situations. This is done by extending standard utilitarian social welfare criteria to the case where individual utilities depend on initial income and income change.     

The Aggregation of Climate Change Damages: a Welfare Theoretic Approach

The economic value of environmental goods is commonly determined using the concepts of willingness to pay (WTP) or willingness to accept (WTA). However, the WTP/WTA observed in different countries (or between individuals) will differ according to socio-economic characteristics, in particular income. This notion of differentiated values for otherwise identical goods (say, a given reduction in mortality risk) has been criticized as unethical, most recently in the context of the 'social cost' chapter of the IPCC Second Assessment Report. These critics argue that, being a function of income, WTP/WTA estimates reflect the unfairness in the current income distribution, and for equity reasons uniform per-unit values should therefore be applied across individuals and countries. This paper analyses the role of equity in the aggregation of climate change damage estimates, using basic tools of welfare economics. It shows one way of how WTP/WTA estimates can be corrected in aggregation if the underlying income distribution is considered unfair. It proposes that in the aggregation process individual estimates be weighted with an equity factor derived from the social welfare and utility functions. Equity weighting can significantly increase aggregate (global) damage figures, although some specifications of weighting functions also imply reduced estimates. The paper also shows that while the postulate of uniform per-unit values is compatible with a wide range of 'reasonable' utility and welfare specifications, there are also cases where the common-value notion is not compatible with defensible welfare concepts.     

Measuring the Welfare Effects of Price Changes: A Convenient Parametric Approach

This paper shows how compensating and equivalent variations, and the equivalent income, resulting from a set of price changes can be calculated. A linear expenditure system is estimated for each of a range of total expenditure groups using cross-sectional budget data. The measures of welfare change can be used to determine the effect on the welfare of individuals in different income groups. Alternative social welfare functions can be used to evaluate the resulting distribution of equivalent income. The parametric approach is particularly useful where few data are available     

A many-person Ramsey tax rule

Define the social marginal utility of an individual's income as the gain to society of a unit of consumption by the individual plus the value of his marginal propensity to pay taxes out of income. This concept rather than the social marginal utility of consumption (equal to the first term above) seems helpful in understanding optimal tax first order conditions. For example, with many consumers (and a poll tax as well as excise taxes) the change in aggregate compensated quantity demanded is proportional to the covariance between individual quantities demanded and social marginal utilities of income.     

Who benefits from big government? A life satisfaction approach

Which impact does government size have on life satisfaction, and how do effects of bigger government differ between income groups in society? Previous studies typically employed country averages and thus neglected possibly heterogeneous happiness effects between income groups. This paper addresses empirically the effects of government spending on subjective well-being of individuals belonging to different income groups. Our analysis is based on individual data from 25 European countries participating in the European Social Survey. In contrast to most previous studies we take account of the endogeneity between relative income position and reported life satisfaction by an instrumental variable approach. Our results suggest, first, that most government spending categories, including social protection, are on average negatively related to individual well-being. Secondly, estimated marginal effects of health, education and social protection spending at different income levels show that spending increases always have a stronger negative effect on high income groups’ well-being than on low income groups’ life satisfaction. For all government spending categories, marginal happiness effects of higher public spending are clearly negative for income groups at the top.     

Efficiency versus social optimality: The case of telecommunications pricing

Standard arguments for efficiency-based pricing policies break down once it is admitted that no lump-sum transfers and taxes are available. In this paper, it is argued that the appropriate solution is to equate the marginal welfare cost of redistributing income through pricing policies that deviate from marginal cost with the marginal cost of redistribution through the tax and welfare systems. For telecommunications pricing, this solution may be implemented by charging usage prices for long-distance services in excess of marginal cost and making corresponding reductions in fixed access charges. An illustrative example, based on data for Australia, is presented.