On myopia as rationale for social security

It has been argued that “paternalistically motivated forced savings constitutes an important, and to some the most important, rationale for social security retirement systems.” This paper revisits the role played by myopia in generating a theoretical rationale for pay-as-you-go (PAYG) social security in dynamically efficient economies. If the competing asset is linear storage and myopic agents are allowed to borrow against future pension benefits, there is no welfare-rationale for PAYG pensions. Sufficiently strong myopia may justify such pensions only if agents cannot borrow against their future pension, but then they are at a zero-saving corner. With enough myopia, co-existence of positive optimal pensions and positive private saving is possible if the return to saving declines with saving, as in a model with a neoclassical technology.     

Quasi-hyperbolic discounting and social security systems

Hyperbolic discounting has become a common assumption for modeling bounded rationality with respect to individual savings decisions. We examine the effects of hyperbolic discounting on the comparison of alternative social security systems. We show that this form of bounded rationality breaks the equivalence between funded and pay-as-you-go (PAYG) systems established in Sheshinski and Weiss [Sheshinski, E., Weiss, Y., 1981. Uncertainty and optimal social security. Quarterly Journal of Economics 95, 189-206]. Intergenerational transfers within a PAYG economy are usually secured by the social security system and independent of longevity, whereas this is not the case for the funded economy. The savings level under hyperbolic discounting is lower than under exponential discounting [Laibson et al., 1998], but the ratio between the savings level under hyperbolic discounting within a funded economy and a PAYG economy depends on the effectiveness of the commitment devices. It is shown that if individuals are hyperbolic discounters, then in a PAYG economy any change in the mandated level of intergenerational transfers is neutralized by individuals’ voluntary bequests. This does not apply to a funded system.     

Optimal welfare and in-work benefits with search unemployment and observable abilities

This paper explores the optimal interaction between the tax system and social assistance in insuring people against the risks of involuntary unemployment and low ability. To that end, we introduce search unemployment in a model of optimal non-linear income taxation. The relationship between welfare benefits and the optimal level of in-work benefits is U-shaped. This explains why in-work benefits are called for both in countries that grant low welfare benefits and countries that provide high welfare benefits. An earned-income tax credit optimally induces all agents to look for work if job search is cheap and effective, agents are not very risk averse, and the least-skilled agents are relatively productive.     

Fertility,Intra‐Generational Redistribution,and Social Security Sustainability

Incorporating heterogeneity in preference to having children into an overlapping generations model of a small open economy, we examine the effects of changes in the size of pay‐as‐you‐go (PAYG) social security on fertility choices of individuals and population growth of the economy. It is shown that PAYG social security will raise population growth by increasing the number of individuals who have children and the number of children parents have if the system involves redistribution between retirees with different contributions, whereas, if it has no redistribution, PAYG social security does not affect the fertility decisions of individuals.     

Voting over type and generosity of a pension system when some individuals are myopic

This paper studies the determination through majority voting of a pension scheme when society consists of far-sighted and myopic individuals. All individuals have the same basic preferences but myopics tend to adopt a short-term view (instant gratification) when dealing with retirement saving and labor supply. Consequently, they will find themselves with low consumption after retirement and regret their insufficient savings decisions. Henceforth, when voting they tend to commit themselves into forced saving. We consider a pension scheme that is characterized by two parameters: the payroll tax rate (that determines the size or generosity of the system) and the “Bismarckian factor” that determines its redistributiveness. Individuals vote sequentially. We examine how the introduction of myopic agents affects the generosity and the redistributiveness of the pension system. Our main result is that a flat pension system is always chosen when all individuals are of one kind (all far-sighted or all myopic), while a less redistributive system may be chosen if society is composed of both myopic and far-sighted agents. Furthermore, while myopic individuals tend to prefer larger payroll taxes than their far-sighted counterparts, the generosity of the system does not always increase with the proportion of myopics.     

Nonseparable preferences and optimal social security systems

In this paper, we consider economies in which agents are privately informed about their skills, which evolve stochastically over time. We require agents' preferences to be weakly separable between the lifetime paths of consumption and labor. However, we allow for intertemporal nonseparabilities in preferences like habit formation. In this environment, we derive a generalized version of the Inverse Euler Equation and use it to show that intertemporal wedges characterizing optimal allocations of consumption can be strictly negative. We also show that preference nonseparabilities imply that optimal differentiable asset income taxes are necessarily retrospective in nature. We show that under weak conditions, it is possible to implement a socially optimal allocation using a social security system in which taxes on wealth are linear, and taxes/transfers are history-dependent only at retirement. The average asset income tax in this system is zero.     

Age-Dependent Taxation and the Optimal Retirement Benefit Formula

Abstract. This paper presents a comprehensive view of lifetime taxation including both explicit taxation through the general tax system and implicit taxation via the retirement benefit formula. Differences in productivity between individuals are unobservable, which provides a rationale for the use of distortionary taxes. It is shown that the optimal structure of age-dependent taxation can be characterized by a generalized Ramsey formula. Furthermore, the paper derives the optimal retirement benefit formula in the presence of the general tax system and examines the compatibility with the financial stability of the pension system.     

Social security and demographic trends: Theory and evidence from the international experience

The worldwide problem with pay-as-you-go, defined-benefits social security systems is not just financial. Through a dynamic, overlapping-generations model where forming a family and bearing and educating children are choice variables, we show that social security taxes and benefits generate incentives to reduce both family formation and fertility, and that these effects cannot be fully neutralized by counteracting inter-temporal or intergenerational transfers within families. We implement the model using calibrated simulations as well as panel data from 57 countries over 32 years. We find that PAYG tax measures account for a non-trivial part of the downward trends in family formation and fertility worldwide, especially in OECD countries.     

Temptation and social security in a dynastic framework

We investigate welfare and aggregate implications of a pay-as-you-go (PAYG) social security system in a dynastic framework in which individuals have self-control problems. The presence of self-control problems induces individuals to save less because of their urge for temptation towards current consumption. Individuals' efforts to balance between the short-term urge for temptation and the long-term commitment for consumption smoothing result in self-control costs. In this environment PAYG social security works as a self-control cost reducing device. In contrast, the presence of altruism induces individuals to save more. This in turn mitigates the adverse effects of self-control problems and PAYG social security on savings but magnifies the self-control costs. We find that in our environment the adverse welfare effects of a PAYG system are further mitigated relative to the environments that incorporate altruism and self control issues separately. However, the level of mitigation is quite modest.     

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.     

Fair Income Tax

In a model where agents have unequal skills and heterogeneous preferences over consumption and leisure, we look for the optimal tax on the basis of efficiency and fairness principles and under incentive-compatibility constraints. The fairness principles considered here are: (1) a weak version of the Pigou–Dalton transfer principle; (2) a condition precluding redistribution when all agents have the same skills. With such principles we construct and justify specific social preferences and derive a simple criterion for the evaluation of income tax schedules. Namely, the lower the greatest average tax rate over the range of low incomes, the better. We show that, as a consequence, the optimal tax should give the greatest subsidies to the working poor (the agents having the lowest skill and choosing the largest labour time).     

Migration,social security,and economic growth

This paper studies the effect of population aging and international migration on economic performance. Fertility is endogenized so that immigrants and natives can have different fertility rates, which provides a more realistic view of policy effects. Fertility is an important determinant to the tax burden of social security since it affects the quantity and quality of future tax payers. We find that introducing immigrants into the economy can reduce the tax burden of social security. If the survival probability of young agents to old age (or the replacement ratio) is high enough, the growth rate of GDP per worker for an economy with international migration will be higher than for a closed economy. Regarding migration policies, our numerical results indicate that economic growth rate of GDP per worker will first decrease then increase as the flow of immigrants increases. Attracting more skilled immigrants will enhance economic growth.     

How Well Does the Australian Aged Pension Provide Social Insurance?

Social security plays an essential role in an economy, but if designed incorrectly, it can distort individuals' labour supply and savings behaviour. We explore how well the Australian means‐tested pension system provides social insurance by changing the settings of the system and calculating the impact on welfare. In order to exclude trivial welfare gains, we keep the cost of the programmes constant. We find that the means‐tested pension system is welfare reducing, but does provide a better outcome than a PAYG system of equivalent cost. We also find that if the benefit amount is held constant, and hence the cost of the pension programme is allowed to vary, a taper rate of 1.0 is optimal. However, once we hold the cost of the programme constant, a universal benefit scheme provides the best welfare outcome.     

Is commodity taxation unfair?

In a model where agents have unequal skills and heterogeneous preferences about consumption goods and leisure, this paper studies how to combine commodity taxes and non-linear income tax. It proposes a particular social welfare function on the basis of fairness principles. It then derives a simple criterion for evaluating the social welfare consequences of various tax schedules. Under the proposed approach, the optimal tax should have no commodity tax for some range of consumptions, and income redistribution would feature high subsidies to the working poor. It is also shown that, even when the income tax fails to be optimal, commodity taxes may not improve social welfare.     

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.     

OTHER-REGARDING UZAWA PREFERENCES AND LIVING STANDARD CATCH-UP

This paper provides a new rationale for Uzawa preferences based on social choice; instead of positing that poor people are more patient because they are poor, it posits that poor people should be more patient if they wish their living standards to catch up with richer people. To provide a setting for this new rationale, the present paper studies the socially optimal choice of living standards over time by social planners for countries that, from low levels of total factor productivity (TFP), experience a gradual catch-up of their TFP level with that of the leader country. In the TFP catch-up scenario, the socially optimal choice of consumption and saving based on time additive preferences leads to no catch-up of living standards. To generate living standard catch-up we propose other-regarding Uzawa preferences, in which the rate of time preference is influenced by the gap in living standards between follower country and leader country. This other-regarding specification is consistent with recent findings emphasized in behavioural economics. The other-regarding Uzawa preferences form is illustrated quantitatively by simulating a model of the world economy.     

Help the Low Skilled or Let the Hardworking Thrive? A Study of Fairness in Optimal Income Taxation

In a model where agents have unequal wages and heterogeneous preferences, we study the optimal redistribution via an income tax, when the social objective is based on a combination of efficiency and fairness principles, and when incentive issues are taken into account. We show how some fairness principles entail specific features for the optimal taxes, such as progressivity or tax exemption for incomes below the minimum wage.     

Costly Tax Enforcement and Financial Repression

Using an overlapping generations production‐economy model characterized by financial repression, purposeful government expenditures and cost of tax collection, we analyse whether financial repression can be explained by the cost of raising taxes. We show that with public expenditures affecting utility of the agents, modest costs of tax collection tend to result in financial repression being pursued as an optimal policy by the consolidated government. However, when public expenditures are purposeless, the above result only holds for relatively higher costs of tax collection. But, more importantly, costs of tax collection cannot produce a monotonic increase in the reserve requirements. What are critical, in this regard, are the weights the consumer assigns to the public good in the utility function and the size of the government.     

The dynamics of inequality and social security in general equilibrium

This paper analyzes the dynamic politico-economic equilibrium of a model where repeated voting on social security and the evolution of household characteristics in general equilibrium are mutually affected over time. In particular, we incorporate within-cohort heterogeneity in a two-period Overlapping-Generation model to capture the intra-generational redistributive effect of social security transfers. Political decision-making is represented by a probabilistic voting à la Lindbeck and Weibull (1987). We analytically characterize the Markov perfect equilibrium, in which social security tax rates are shown to be increasing in wealth inequality. A dynamic interaction between inequality and social security leads to larger social security programs. In a model calibrated to the U.S. economy, the dynamic interaction is shown to be quantitatively important: It accounts for more than half of the social security growth in the dynamics. We also perform some normative analysis, showing that the politico-economic equilibrium outcomes can be fundamentally different from the Ramsey allocation.     

Markovian Social Security in Unequal Societies

In this paper, we develop a dynamic political‐economic theory of social security. We analytically characterize a Markov perfect equilibrium and find that the interaction between Markovian tax policy and tax distortion on private investment in human capital shapes an intertemporal policy rule, linking taxes positively over time. By allowing current taxpayers to influence their own future social security benefits, the positive intertemporal tax linkage provides political support for social security. Moreover, this positive tax linkage leads to a negative correlation between wage inequality and the size of a nation's social security system, consistent with the empirical pattern observed across OECD countries.