Old‐age Social Security versus Forward Intergenerational Public Goods Provision

This paper introduces an overlapping‐generations model with earnings heterogeneity and borrowing constraints. The labour income tax and the allocation of tax revenue between social security and forward intergenerational public goods are determined in a bidimensional majoritarian voting game played by successive generations. The political equilibrium is characterized by an ends‐against‐the‐middle equilibrium where low‐income and high‐income individuals form a coalition in favour of a lower tax rate and less social security while middle‐income individuals favour a higher tax rate and greater social security. Government spending then shifts from social security to public goods provision if higher wage inequality is associated with a borrowing constraint and a high elasticity of marginal utility of youth consumption.     

A Positive Theory of Social Security

In many countries, social security accounts for a large fraction of the government budget. Why is this so, given that at any point in time the number of recipients of social security benefits is smaller than the number of contributors? In the overlapping‐generations model studied in this paper, all individuals currently alive vote on social security in every period. In equilibrium, the size of social security is larger, the greater is the proportion of elderly people in the population, and the greater is the inequality of pre‐tax income within each generation. Both predictions of the theory are supported by the empirical evidence in cross‐country data.     

Occupational Choice and Dynamic Incentives

We study an overlapping generations version of the principal-agent problem, where incentive contracts are determined in general equilibrium. All individuals are workers when young, but have a choice between becoming entrepreneurs or remaining workers when old. Imperfections in the credit market give rise to rents in entrepreneurial activities involving capital. These rents motivate poor young agents to work hard and save to overcome the borrowing constraints. With a labour market that is subject to moral hazard, the increased effort raises social welfare. Policies that reduce credit market imperfections, or redistribute income, may reduce welfare by dampening this effect.     

REDISTRIBUTIVE POLITICS AND GOVERNMENT DEBT IN A BORROWING‐CONSTRAINED ECONOMY

We develop a two‐period, three‐class of income model where low‐income agents are borrowing constrained because of capital market imperfections, and where redistributive expenditure is financed by tax and government debt. When the degree of capital market imperfection is high, there is an ends‐against‐the‐middle equilibrium where the constrained low‐income and the unconstrained high‐income agents favour low levels of government debt and redistributive expenditure; these agents form a coalition against the middle. In this equilibrium, the levels of government debt and expenditure might be below the efficient levels, and the spread of income distribution results in a lower debt‐to‐GDP ratio.     

Educational Policy in a Credit Constrained Economy with Skill Heterogeneity*

An overlapping‐generations model where agents choose whether to become educated when young is presented. Education enhances productivity, but needs to be financed by borrowing. Because of the possibility of default, lenders may ration credit. We characterize the steady‐state equilibrium with and without credit constraints and show that credit constraints are associated with lower education and a lower real interest rate. We then study the role of public policy in remedying the inefficiency which occurs with credit market imperfections and examine whether public education can improve on the constrained equilibrium.     

Fairness in tax compliance: A political competition model

This paper analyzes the political economy of income redistribution when voters are concerned about fairness in tax compliance. We consider a two‐stage model where there is a two‐party competition over the tax rate and over the intensity of the tax enforcement policy in the first stage, and voters decide about their level of tax compliance in the second stage. We find that if the concern about fairness in tax compliance is high enough, a liberal middle‐income majority of voters may block any income redistribution policy. Alternatively, we find an equilibrium in which the preferences of the median voter are ignored in favor of a coalition formed by a group of relatively poor voters and the richest voters. In this equilibrium income redistribution prevails with no tax enforcement.     

Effect of social security on fertility and savings: an overlapping generations model

Old-age pension schemes do not exist in most developing countries, so adults bear children as security investments for the future. This phenomenon leads to unduly high rates of population growth. It has been hypothesized that introducing social security programs in such countries would increase savings rates and reduce the number of children born over the long term. The author studies the general equilibrium effects of some social security programs on rates of population growth and capital accumulation within an overlapping generations framework with endogenous fertility and savings. Specifically, Raul's overlapping generations growth model is extended to study the general equilibrium effects of payroll-tax-financed and child-tax-financed social security programs. It is shown that if the rate of intergenerational income transfers from young to old or child care cost is low, competitive equilibrium leads toward overpopulation and capital accumulation in a modified Pareto optimal sense; a social security program in such a case is therefore Pareto improving. A fully-funded system is not neutral when financed by child taxes. Finally, it is also shown that unlike in the case of exogenous fertility where competitive equilibrium attains steady state only asymptotically, fertility, when endogenous, may attain a unique globally steady state in finite time.     

Marital Status and Derived Pension Rights: A Political Economy Model of Public Pensions with Borrowing Constraints

This paper develops an overlapping‐generations models featuring four types of households: single female, single male, one‐breadwinner couple, and two‐breadwinner couple. The paper considers majority voting over public pension in the presence of derived pension rights for one‐breadwinner couples. In an economy with a low intertemporal elasticity of substitution, borrowing‐constrained one‐breadwinner couples may prefer a lower tax rate than do other types of households, although the former attain a higher benefit‐to‐cost ratio of public pension than do others. Changes in the gender wage gap, the level of derived pension rights, and the fraction of two‐breadwinner couples produce an inverse U‐shaped relationship between the relevant variable and the tax rate.     

A Rational Explanation for the Redistribution Paradox. Theory and Empirical Evidence

The paper provides a rational explanation for the redistribution paradox, whereby low‐income individuals seeking more social security prefer a lower taxation although this might imply a reduced welfare. A simple model of tax transfer and redistribution is presented, with various agents facing two different unemployment probabilities. We investigate how the preferred tax rate changes with the probability of being unemployed. We show that, when the probability of unemployment for the less‐skilled correlates negatively with that of the highly skilled, the relationship with the tax rate is not monotonic and depends on the level of risk aversion. This theoretical framework is confirmed in an empirical investigation based on microeconomic data, and in a robustness test based on macroeconomic data.     

MACROECONOMIC AND REDISTRIBUTIONAL EFFECTS OF CONSUMPTION TAXES IN THE USA*

This paper studies the effect of an increase in consumption taxes using a dynamic general equilibrium model of overlapping generations calibrated to the US economy. When the proceeds are used to reduce income taxes, the reform raises the aggregate capital and labour supply in the long run. Workers increase labour supply immediately in response to the reform, while consumption rises only gradually. The tax reform also transfers wealth from old consumers to young consumers. As a result, while future generations experience significant welfare gains, current generations, particularly old consumers, tend to experience sizable welfare losses. When the proceeds are used for a lump‐sum transfer, the aggregate capital and labour both decrease in the long run. This reform is welfare‐improving for the current low‐income households.     

Social Security and Growth in an Altruistic Economy

This paper studies the macroeconomic impact of private and public intergenerational transfers in the presence of endogenous growth. It focuses on two-sided altruism implying that individuals have both a motive to make gifts to their parents and a motive to leave bequests to their children. The growth effects of social security depend on whether children are making gifts to their parents or parents are leaving bequests to their children. Which of the transfers is operative, in turn, depends on the size of social security benefits. Social security is legislated endogenously. The introduction of a social security program which definitely reduces per capita income growth and harms future generations is contemplated by altruistic individuals even if non-altruistic individuals disapprove it.     

Optimal Age-Specific Income Taxation

This paper studies optimal earnings taxation in a three‐period life‐cycle model where taxes can be differentiated according to age. Agents choose their level of education when young and their retirement age when old. I study the problem both without and with borrowing constraints. It is shown that, without borrowing constraints, a first‐best optimum can be decentralized by setting a zero tax rate in the third period and a first‐period tax lower than the second‐period one. With borrowing constraints, the first best can no longer be achieved. The gap between the first‐ and second‐period tax rates is larger, while the third‐period tax rate is generally different from zero.     

GROWTH AND WELFARE EFFECTS OF AN ENVIRONMENTAL TAX‐BASED PUBLIC PENSION REFORM*

This paper presents an overlapping generations model in which: (i) firms create emissions as by‐products of production; and (ii) tax revenue from the working young is transferred to the retired elderly as pay‐as‐you‐go pension benefits. The paper focuses on a replacement ratio, which measures the proportion of after tax work earnings replaced by the public pension, and considers a replacement ratio neutral reform in which the newly introduced environmental tax is devoted to cutting the social security tax, keeping the replacement ratio unchanged. It is shown that the reform may improve growth, environmental quality and the nonenvironmental utility of every generation.     

AGE‐DEPENDENT TAXES WITH ENDOGENOUS HUMAN CAPITAL FORMATION

We assess the gains attained by the introduction of age‐dependent labor income taxes in an overlapping generations economy where individuals live a meaningful life cycle and endogenously accumulate human capital. The model is sufficiently rich to isolate the role of general equilibrium effects, credit market imperfections, and different forms of human capital accumulation. The large welfare gains we obtain cannot be attained without age dependence, nor can they be attained with age‐dependent taxes if progressivity of labor income taxes and capital income tax rates are not suitably adjusted to profit from the complementarity of these instruments.     

The non‐monotonic relationship between seigniorage and inequality

Abstract. We present an analysis of how political factors may come into play in the equilibrium determination of inflation. We employ a standard overlapping generations model with heterogenous young‐age endowments, and a government that funds an exogenous spending via a combination of non‐distortionary income taxes and the inflation tax. Agents have access to two stores of value: fiat money and an inflation‐shielded, yet costly, asset. The model predicts that the relationship between elected reliance on the inflation tax (for revenue) and income inequality may be non‐monotonic. We find robust empirical backing for this hypothesis from a cross‐section of countries. JEL classification: E5, P16     

Social security, public education and the growth-inequality relationship

We study how the relationship between economic growth and inequality depends upon the levels of funding of two of the largest government programs, public education and social security. We do this in the context of an overlapping generations economy with heterogeneous agents where the government collects a tax on labor income to finance these programs. We show that in our model an increase in government spending on social security reduces income inequality and can have a non-monotonic effect on growth. When the initial level of social security funding is low, as is the case in most poor economies, then its increase will enhance growth. When its funding level is high as is typical for developed countries, we show that its further increase can slow down growth while reducing income inequality. These results obtain regardless of whether the increase in social security funding is financed by a tax increase or by cutting the public education budget. We also find that the effects of increasing the level of public education expenditures or the overall size of the government budget (holding the budget composition fixed) are characterized by similar non-monotonic growth-inequality relationships.     

Capital Income Taxation,Economic Growth and Heterogeneity in the Motivation to Give

This study provides a comprehensive analysis of the relationship between capital income taxation and economic growth within an overlapping generations model when individuals may bequeath wealth. The altruistic concern is modeled as a synthesis of joy‐of‐giving and family altruism so that individuals may derive utility from the amount of bequest itself and by providing children with a disposable income later on in life. Using this framework, it is shown that, in contrast to the existing literature, increasing the capital income tax rate may well enhance growth under operative bequests.     

INCOME REDISTRIBUTION IN URBAN CHINA BY SOCIAL SECURITY SYSTEM—AN EMPIRICAL ANALYSIS BASED ON ANNUAL AND LIFETIME INCOME

This study investigates the redistributive effect of social security reform in urban China using the nationally representative urban household surveys of 1995 and 2002. The main findings are as follows. First, public pension is the main income for the elderly in urban China. The majority of people aged 60 and over (72% in 1995 and 82% in 2002) receive a pension. Second, the social security system in urban China has increased the income of low‐income and older age groups and reduced the relative poverty rate. However, the redistributive effect did not offset the expanding income inequality, which resulted in the Gini coefficient of redistributed income in 2002 being higher than that in 1995. Third, during 1995 and 2002, both low‐income and high‐income groups received a positive net benefit from the social security system, but the net benefit increased with income. The Chinese social security system lacks progressivity in contribution, and does not favor the poor in terms of benefits. Fourth, assuming that the reformed policy was applied to public sector employees, the long‐term redistributive effect of the pension system for the working population, calculated using their lifetime income, is larger. (JEL D31, H55, I38)     

Pay-as-you-go Social Security and the Distribution of Altruistic Transfers

This paper studies the impact of an unfunded social security system on the distribution of altruistic transfers in a framework where savings are due to both life cycle and random altruistic motivations. We show that the effect of social security on the distribution of these transfers depends crucially on the strength of the bequest motive in explaining savings behaviour. We measure this strength by the expected weight that individuals attach to the utility of future generations. On the one hand, if the bequest motive is strong, then an increase in the social security tax raises the bequests left by altruistic parents. On the other hand, when the importance of altruism in motivating savings is sufficiently low, the increase in the social security tax could result in a reduction of the bequests left by altruistic parents under some conditions on the attitude of individuals toward risk and on the relative returns associated with private saving and social security. Some implications concerning the transitional effects of introducing an unfunded social security scheme are also discussed.     

Voting over selfishly optimal tax schedules: Can Pigouvian tax redistribute income?

This paper studies pairwise majority voting over selfishly optimal nonlinear income tax schedules proposed by a continuum of individuals who differ in privately observable skills and make consumption comparisons, which creates a negative positional externality. It shows that the tax schedule preferred by the median skill type will win the voting contest. Given a reference consumption defined as the average consumption in the population, all skills face the same Pigouvian tax rate in the utilitarian optimum, whereas in selfish optima high skills face a Pigouvian tax rate larger than that facing low skills, generating a novel income redistributive effect. Under a constant elasticity of labor supply, two more results are obtained. First, for Pareto, Champernowne, Weibull, and lognormal skill distributions, the selfishly optimal tax schedule facing high (low) skills tends to be more progressive when the bottom‐skill's (top‐skill's) status concern intensifies. Second, it identifies the conditions under which, in the voting equilibrium, high skills face higher marginal tax rates while low skills face lower ones than what they face in the utilitarian optimum.