Efficiency in overlapping generations economies with longevity choices and fair annuities

When individuals can influence their life-expectancies and save in annuities, suboptimal savings result from the lack of incentives to choose the optimal longevity, even when annuity returns can be made contingent to longevity-related choices. Specifically, the golden rule steady state maximizing the representative agent utility cannot be attained as a competitive equilibrium under laissez-faire, even with actuarially fair annuities contingent to longevity-enhancing choices. In order to decentralize through markets the golden rule, longevity-enhancing expenditures need to be taxed if the steady state old-age consumption exceeds the annuitized capital return, and subsidized otherwise—the government budget being balanced through lump-sum transfers or taxes. Interestingly, with positive population growth the expected net contribution is negative when longevity-enhancing expenditures are taxed, and positive when subsidized.     

Strategic Inter–Regional Transfers

We derive the equilibrium level of redistribution from one mobile factor (say, the rich or capital) to another possibly mobile factor (say, the poor or labour) when regions choose both their inter–regional transfers and redistributive policies non–cooperatively. It is shown that inter–regional transfers are always desirable (to mitigate the fiscal competition), but cannot be sustained (as a Nash equilibrium) when chosen simultaneoulsy with the redistributive policy. On the other hand, if regions can pre–commit to inter–regional transfers before setting their redistributive policy, their strategic effect makes efficient inter–regional transfers sustainable. However, there are also equilibria with inefficiently small inter–regional transfers or no transfers at all. The effects of regional asymmetries and additional regions on these results are also analyzed.     

Endogenous business cycles and systematic stabilization policy*

We study the effects of fiscal policy rules on the determinacy of rational expectations equilibrium in a perfectly competitive monetary model with constant returns. Government spending implies a distortion of the monetary steady state due to the implied taxation. We show that policy rules that let the GNP share of government spending depend sufficiently negatively on increases in GNP stabilize the economy with respect to endogenous fluctuations for arbitrarily little distortion of the steady state at which stabilization occurs. The rules do not involve lump‐sum taxation, negative income taxation, or exact knowledge of the economy's laissez‐faire steady state.     

Implementing Steady State Efficiency in Overlapping Generations Economies with Environmental Externalities

We consider in this paper overlapping generations economies with pollution resulting from both consumption and production. The competitive equilibrium steady state is compared to the optimal steady state from the social planner's viewpoint. We show that the dynamical inefficiency of a competitive equilibrium steady state with capital–labor ratio exceeding the golden rule ratio still holds. Moreover, the range of dynamically efficient steady state capital ratios increases with the effectiveness of the environment maintenance technology, and decreases for more polluting production technologies. We characterize some tax and transfer policies that decentralize as a competitive equilibrium outcome the transition to the social planner's steady state.     

Time Consistent Optimal Redistribution Policy in an Overlapping Generations Model

This paper analyzes optimal redistribution policy in a two‐period version of the overlapping generations model with heterogeneous individuals and asymmetric information between the government and the private sector. The government of the first period determines redistribution transfers for the first period but is not able to set the policy variables for the second period. With respect to savings the paper considers two scenarios: In the first scenario savings are observable and the government can set individual savings levels in addition to redistributive transfers. In the second scenario savings and capital incomes are not observable. In both cases the redistribution equilibrium is not second‐best efficient.     

Markets as beneficial constraints on the government

We study the role of anonymous markets in which trades cannot be monitored by the government. We adopt a Mirrlees approach to analyze economies in which agents have private information and a benevolent government controls optimal redistributive tax policy. While unrestricted access to anonymous markets reduces the set of policy instruments available to the government, it also limits the scope of inefficient redistributive policies when the government lacks commitment. Indeed, the restrictions that anonymous markets impose on the optimal fiscal policy, especially on capital taxation and the history-dependence of income taxation, can have positive welfare effects in this case.     

Education,redistributive taxation and confidence

We consider redistributional taxation between people with and without human capital if education is endogenous and if individuals differ in their perceptions about own ability. Those who see their ability as low like redistributive taxation because of the transfers it generates. Those who see their ability as high may also like redistributive taxation because it stops other people receiving education and increases the quasi rents on their own human capital. It is surprising that this rather indirect effect can overcompensate them for the income loss from taxation and make the highly confident want higher taxes than the less confident do. The results, however, turn out to be in line with empirical evidence on the desired amount of redistribution among young individuals.     

Redistributive taxation in a simple perfect foresight model

We investigate the redistributive potential of capital taxation in an intertemporal maximizing model of capital formation. First, even unanticipated redistributive capital taxation is severely limited in its effectiveness since it depresses wages. Second, under any convergent redistributive tax policy which maximizes a Paretian social objective, the capital income tax will converge to zero, independent of the factor supply elasticities. These results are independent of workers' holdings of capital.     

Costly structural change and optimal growth

Summary This paper studies the optimal growth of a developing economy that has a choice to expend a fixed amount of resource for a structural change that advances its production technology. It is shown that structural change is undertaken if capital stock is above a critical level. Economies undertaking structural change converge to a larger steady state and economies not undertaking structural change converge to a smaller steady state. The optimal policy correspondences and growth paths are characterized. The social optimum is shown implementable by a competitive equilibrium with lump-sum taxation.We are grateful to Francis Cheung, Carmen Menezes, Peter Mueser, Don Schilling, two anonymous referees and an associate editor for their valuable suggestions.     

Public Expenditure,Environment, and Economic Growth

This paper attempts to develop a model of endogenous growth with special consideration to the role of productive public expenditure in the presence of congestion effect of private capital and environmental pollution. We analyze the properties of the optimal fiscal policy in the steady‐state equilibrium when the level of production of the final good is the source of emission. Government allocates its income tax revenue between pollution abatement expenditure and productive public expenditure. In the steady‐state equilibrium, optimum ratio of productive public expenditure to national income is less than the competitive output share of the public input; and this ratio varies inversely with the magnitude of the emission‐output coefficient. The steady‐state equilibrium appears to be a saddle point; and the market economy growth rate is not necessarily less than the socially efficient growth rate in the steady‐state equilibrium.     

Self-Enforcing Intergenerational Social Contracts for Pareto Improving Pollution Mitigation

We consider, in an overlapping generations model with an environmental externality, a scheme of contracts between any two successive generations. Under each contract, agents of the young generation invest a share of their labor income in pollution mitigation in exchange for a transfer in the second period of their lives. The transfer is financed in a pay-as-you-go manner by the next young generation. Different from previous work we assume that the transfer is granted as a subsidy to capital income rather than lump sum. We show that the existence of a contract which is Pareto improving over the situation without contract for any two generations requires a sufficiently high level of income. In a steady state with social contracts in each period, the pollution stock is lower compared to a steady state without contracts. Analytical and numerical analysis of the dynamics under Nash bargaining suggests that under reasonable conditions, also steady state income and welfare are higher. Delaying the implementation of a social contract for too long or imposing a contract with too low mitigation can be costly: Net income may inevitably fall below the threshold in finite time so that Pareto improving mitigation is no longer possible and the economy converges to a steady state with high pollution stock and low income and welfare. In the second part of the paper, we study a game theoretic setup, taking into account that credibly committing to a contract might not be possible. We show that with transfers granted as a subsidy to capital income, there exist mitigation transfer schemes which are both Pareto improving and give no generation an incentive to deviate from any of its contracts even in a dynamically efficient economy. Social contracts coexist with private savings.     

Optimal fiscal policy in the Uzawa-Lucas model with externalities

Summary. This paper devises a fiscal policy by means of which the first-best optimum equilibrium is attained as a market equilibrium in the Uzawa-Lucas model when average human capital has an external effect on productivity. The optimal policy requires the use of a subsidy to investment in human capital which can be financed by a tax on labor income. Lump-sum taxation is not required to balance the government budget either in the steady state or in the transitional phase. Physical capital income should not be taxed. Alternatively, the optimal growth path can be attained by means of a subsidy to human capital. Received: March 21, 2002; revised version: September 4, 2002 RID="*" ID="*" Financial support from the Spanish Ministry of Science and Technology through PNICDYIT grant SEC2002-03663 is gratefully acknowledged.     

Symmetric Tax Competition under Formula Apportionment

This paper compares property taxation to a corporate income tax based on formula apportionment in a model where identical countries compete to attract capital. We find that if countries can pair a residence–based capital tax with a property tax (source tax on capital) the tax equilibrium is efficient. In contrast, the use of a 2–factor FA scheme based on sales and capital combined with a residence–based capital tax leads to an inefficient outcome.     

Social security, retirement age and optimal income taxation

It is often argued that implicit taxation on continued activity of elderly workers is responsible for the widely observed trend towards early retirement. In a world of laissez-faire or of first-best efficiency, there would be no such implicit taxation. The point of this paper is that, when first-best redistributive instruments are not available, because some variables are not observable, the optimal policy does imply a distortion of the retirement decision. Consequently, the inducement of early retirement may be part of the optimal tax-transfer policy. We consider a model in which individuals differ in their productivity and their capacity to work long and choose both their weekly labor supply and their age of retirement. We characterize the optimal non-linear tax-transfer that maximizes a utilitarian welfare function when weekly earnings and the length of active life are observable while individuals' productivity and health status are not observable.     

Intergenerational externalities,sustainability and welfare—The ambiguous effect of optimal policies on resource depletion

This paper studies an endogenous growth model with exhaustible resources, overlapping generations and human capital externalities. In the competitive equilibrium, selfish behavior and inefficient skills accumulation may prevent sustained growth. Implementing the utilitarian optimum likely induces sustainability via increased knowledge formation, but resource depletion may be faster or slower than under laissez-faire depending on the social discount rate. Heavy (modest) social discounting delays (anticipates) the achievement of net welfare gains for newborn agents and successors. The reason is that human capital accumulation magnifies the positive growth effects of policies that lower the rate of resource destruction, preserving the welfare of newborn agents. Resource-depleting policies, instead, hamper growth and reduce lifetime welfare of early-in-time generations—the first loser being the currently young.     

Illiquid life annuities

In this paper, we consider illiquid life annuity contracts and show that they may be preferred to those illustrated by Yaari. In an overlapping generations economy, liquid life annuities are demanded only if the equilibrium is dynamically inefficient. However, an equilibrium displaying a positive demand for illiquid life annuities is indeed efficient. In this latter case, the welfare at steady state is larger if illiquid life annuity contracts are available.     

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.     

Transfers and Bailouts: Institutions for Enforcing Local Fiscal Discipline

The growing importance of local and provincial governments as providers of public services and the importance of those services for the overall performance of the national economy has led to a careful re-examination of how public resources are allocated by decentralized governments. While the Tiebout model promises efficient local resource allocations, the conditions necessary for such outcomes—many local governments, fully informed and costlessly mobile households, no spillovers, residential head taxes—are rarely met in practice. Lacking a sufficient number of competitive local governments, however, other institutional safeguards must be found. Four such institutions are identified here. First, a stable central government managed by nationally elected political parties or presidents capable of making (second-best) efficient interpersonal redistributions of income while at the same time denying inefficient intergovernmental transfers and /or access to non-resident taxation. Second, a mature banking system and fully integrated national capital markets to minimize the economic consequences of a single government's failure to repay its local debts. Third, informed and sophisticated municipal bond and local land markets capable of evaluating local services and finances so as to shift back onto local residents the full economic consequences of inefficient local government fiscal choices. Fourth, a politically independent judiciary capable of enforcing constitutional rules for spending and tax assignment, local debt repayment, and balanced local budgets. Efficient central governments and efficient land and capital markets are seen here as necessary institutional pre-conditions for an efficient local public sector.     

Capital income taxation,tax criteria,and intergenerational welfare

In a two-period overlapping-generations model, residence criteria are shown to be optimal with lump-sum transfers to the younger generation in a dynamically efficient open economy even if all wage income, corresponding to rent income under exogenous labor supply, is not taxed away. When tax revenues are also distributed to the older generation — which indeed may be desirable for short-term intergenerational welfare distribution reasons — a weighted average rule is derived for optimal international taxation. The taxation of domestic savings income follows the inverse elasticity rule in respect to savings and, surprisingly, higher investment elasticity increases the tax level. Finally, for a small open economy and for large identical economies, tax competition with a mixed scheme of residence-based taxes and source-based subsidies yields the same tax policy as tax cooperation with no restrictions on the domestic and international capital income tax instruments.