Donor Altruism and the Transfer Paradox in an Overlapping Generations Model

This paper examines the transfer problem between two countries when a donor exhibits altruistic utility toward a recipient in a one‐sector overlapping generations model. We demonstrate that if the donor has a larger marginal propensity to save than the recipient, the donor's altruism never contributes to donor enrichment irrespective of the degree of the donor's altruism. Donor enrichment occurs only if the donor has a smaller marginal propensity to save and a sufficiently high level of altruism. These findings imply that the altruism of a donor toward a recipient does not necessarily explain the motivation to voluntarily provide a transfer.     

International trade and capital accumulation in an overlapping generations model with a public intermediate good

We investigate the effects of a public intermediate good on trade patterns, capital accumulation, and the gains from trade in a two‐country, three‐sector overlapping generations model. A public intermediate good affects not only the productivity of private production but capital accumulation; thus, the results differ from those obtained in previous studies. First, opening to trade may accelerate capital accumulation in the higher‐savings country. Additionally, the country producing a public intermediate good more (which is labor‐intensive) may be the importer of the investment good (which is the most capital‐intensive). Finally, the lower‐savings country may have lower steady‐state welfare under trade.     

Cash-in-advance constraint,optimal monetary policy,and human capital accumulation

This paper investigates optimal monetary policy in an overlapping-generations model with endogenous growth fueled by the accumulation of human capital and under a cash-in-advance constraint. We consider the case where the government finances public education fully by seigniorage. Three main results are obtained. First, there exists an optimal money growth rate that maximizes the economic growth rate along the steady growth path. Second, on this path, the Laffer curve of seigniorage takes the maximum. Finally, the money growth rate for maximizing seigniorage along the steady growth path, which also leads to maximization of the economic growth rate, is lower than that for maximizing seigniorage in the present period.     

The Transfer Problem and Intergenerational Allocation in an Overlapping Generations Model

We investigate the transfer problem between two countries in the steady state in a one-sector overlapping generations model and explain how transfers should be shared between the young and old generations of the donor country and allocated across the generations of the recipient country. Except at the golden rule of capital accumulation, the ratios of the burden and distribution of transfers between the young and old generations affect welfare. We obtain the following results. First, the sharing of the transfer burden in the donor country depends on the relative size of two effects, namely, a negative direct effect and a positive indirect effect. If the former exceeds the latter, it is preferable for the donor country to allocate all of the transfer burden to the old generation and vice versa. Second, from the viewpoint of welfare maximization, it is preferable for the recipient country to distribute all of the transfers to the young generation. In contrast to the existing literature, these results suggest that the setting whereby the young generation of the donor country defrays all transfer costs may not be justifiable from the viewpoint of donor welfare maximization.     

Population growth and the transfer paradox in an overlapping generations model

This study investigates whether the transfer paradox (donor enrichment and/or recipient impoverishment) occurs when a donor and a recipient have different population growth rates by using a one‐sector, two‐country overlapping generations model. We show that if the population growth rates differ, neither donor enrichment nor recipient impoverishment occurs in the steady state under dynamic efficiency. This result is in stark contrast to the existing results that the transfer paradox might occur when a donor and a recipient country have different marginal propensities to save, assuming that both have the same population growth rate. Furthermore, we present the condition for the transfer problem to occur on the transition path and show that the transfer paradox is less likely to occur as the economy converges to the steady state. Our result shows that the prevailing finding that the transfer paradox can occur in an overlapping generations model is limited to the special case of countries having the same population growth rate.     

Aspirations and the transfer paradox in an overlapping generations model

This study examines the transfer problem between two countries when either the donor or the recipient has aspirations, based on parents’ standards of living, in a one-sector overlapping generations model. Focusing on whether and how aspirations impact the welfare effect of a transfer, we demonstrate the following results. First, when the donor forms aspirations, as the degree of his/her aspirations to their parents increases, a transfer is more likely to cause donor enrichment. However, this does not affect the recipient’s welfare at all. In contrast, when the recipient forms aspirations, whether the increase in the degree of these aspirations causes immiserization depends on whether the transfer raises the recipient’s consumption. Second, we show that if the donor’s or recipient’s marginal utility increases with their respective aspirations, the transfer is more likely to cause recipient immiserization. However, whether donor enrichment occurs depends on the situation. These results imply that there are two types of effects that aspirations can have on the welfare of both countries: effects caused by the aspirations, and effects that occur through the capital market. Furthermore, we find that these two effects on welfare do not necessarily work in the same direction.     

Life Insurance,Human Capital Accumulation and Economic Growth

We compare growth rates in the absence and presence of life insurance using an overlapping generations framework with human capital accumulation to clarify how life insurance contributes to economic growth through the education investment of individuals depending on economic circumstances. Our results show that, as expected, the growth rate is higher when there is life insurance if the rate of time preference or the productivity of human capital accumulation is sufficiently low and if the income loss induced from lifetime uncertainty is moderate. However, if the income loss is sufficiently large, the growth rate is lower when there is life insurance.