The effect of corruption on capital accumulation

This paper examines the effect of corruption in infrastructure development as well as in capital and labor markets, on capital accumulation and output in an overlapping generations model. Corruption affects income redistribution, government expenditures on infrastructure, firms’ incentive to invest, and workers’ incentive to supply labor. An increase in corruption in infrastructure development decreases capital accumulation and output if the decrease in the savings of ordinary workers is sufficiently large. An increase in corruption in the capital market decreases capital accumulation and output. An increase in corruption in labor market decreases capital accumulation and output when labor supply is completely inelastic. Simulation results based on plausible parameter values indicate that an increase in corruption in the labor market will also reduce labor supply, capital accumulation and output.      

Steady states in the OLG model with seignorage and long-lived agents

This note provides a direct proof of the fact that in a particular version of the overlapping generations model with long-lived agents and fiat money, there can be at most two stationary states. A simple argument showing the Pareto superiority of the low inflation steady state is also given.     

Unemployment dynamics in an OLG economy with public pensions

Pension benefits in old age establish a disincentive to save in youth, thereby yielding lower levels of capital stock and the wage rate. As a result, the trade union has an incentive to change the composition of its two targets: employment and the wage rate. This paper develops a model that includes employment effects of public pensions via capital accumulation and union wage setting. Within this framework, we consider how contribution rates to the pension system influence the level and time path of the unemployment rate. It is demonstrated that (1) a higher contribution rate results in a lower unemployment rate, and (2) the economy with a high (low) contribution rate experiences monotone convergence towards (oscillatory convergence towards or a period-2 cycle around) the steady state. The author would like to thank an anonymous referee, Kazutoshi Miyazawa, and seminar participants at Osaka University for their useful comments and suggestions, and Masako Ikefuji and Hiroaki Yamagami for their research assistance. Financial support from the Japan Society for the Promotion of Science (JSPS) through a Grant-in-Aid for Young Scientists (B) (No.17730131), the Asahi Glass Foundation, the Japan Economic Research Foundation and the 21st Century COE Program (Osaka University) is gratefully acknowledged. All remaining errors are mine.     

Existence,uniqueness, and stability of equilibrium in an OLG economy

Summary. This paper presents sufficient conditions for the existence of a unique and globally stable steady state equilibrium for OLG economies with production. The conditions impose separate requirements on the utility and production functions. Moreover, the conditions do not require assumptions concerning the third order derivatives of the production and utility functions.Received: 12 August 2002, Revised: 7 January 2003, JEL Classification Numbers: D50, D91, E13, O41.I would like to thank Nick Baigent, Laurie Conway, Karl Farmer, Christian Gehrke, and Hideo Konishi for helpful comments. I am grateful to an anonymous referee for his or her comments.     

On the interaction between risk sharing and capital accumulation in a stochastic OLG model with production

We analyze the interaction between risk sharing and capital accumulation in a stochastic OLG model with production. We give a complete characterization of interim Pareto optimal competitive equilibrium allocations. Furthermore, we provide tests of Pareto optimality/suboptimality based on (risky) rates of return only.     

Imperfect information, Bayesian learning, and capital accumulation

This paper examines the consequences of informational imperfections for economic growth in an overlapping generations model in which agents learn the technological parameters in a Bayesian fashion. Under mild sufficient conditions, beliefs converge to the true value of the technological parameters. Nevertheless, even short-lived informational imperfections could have lasting effects, as they alter the long-run equilibrium levels of the capital stock. Therefore, learning dynamics may explain some of the observed differences in the performance of countries with otherwise similar economic characteristics.     

The Optimal Level of Debt in an OLG Model with Endogenous Fertility

Abstract. In the present work we extend Diamond's OLG model by allowing for endogenous fertility and look at the consequences of such an extension on the rules for optimal public debt issuing. In particular, we show that the condition according to which the rate of growth of population should be higher than the interest rate is no longer sufficient for obtaining welfare improvements via debt increases and that the level of optimal debt is, ceteris paribus, lower than the one arising with exogenous fertility. Finally, a sensitivity analysis shows that the optimal level of debt is higher the lower the capital share, the higher individuals' degree of patience, the bigger the child‐rearing cost and the lower the preference for children. On policy grounds we argue that debt‐tightening policies may be optimal in the long run provided that the cost of rearing children does not increase (or, if anything, does decrease).     

Reexamining the interaction between innovation and capital accumulation

In endogenous growth models with innovation and capital accumulation Arnold [J. Macroeconomics 20 (1998) 189] and Blackburn et al. [J. Macroeconomics 22 (2000) 81] show that long-run growth of per capita income is independent of innovation activities; it is solely determined by preferences and the human capital accumulation technology. As a result, government policies do not affect long-run growth. This paper develops an endogenous growth model with innovation and (physical and human) capital accumulation to show that long-run growth depends on both innovation and capital accumulation technologies as well as on preferences and that government taxes and subsidies can have effects on the long-run growth rate.     

Signal-extracting education in an overlapping generations model

Summary. In order to get good positions in companies, people try to enter highly-ranked universities. However, abilities vary greatly between individuals. High-ability individuals have an incentive to send signals to firms by obtaining a higher level of education in order to distinguish themselves from low-ability individuals. This paper constructs an overlapping generations model in order to examine the macroeconomic consequences of such sorting behavior of individuals. There are two kinds of possible equilibria in our model. In one equilibrium, only the high-ability agent can obtain higher education and thus an elite society emerges. In the other equilibrium, all ability types have the chance to obtain higher education and thus a society with mass higher education emerges. We also discuss the possibility of multiple equilibria of these different steady states and the dynamic change in wage differentials.Received: 9 October 2002, Revised: 15 July 2003, JEL Classification Numbers: D82, J31, O10.The authors acknowledge Osamu Hayashida, Noriyoshi Hemmi, Hideshi Itoh, Michihiro Kandori, Toshihiro Matsumura, Takuya Nakaizumi, Osamu Nishimura, Ryoji Ohdoi, Tadashi Yagi, Noriyuki Yanagawa, and seminar participants at Doshisha University, the University of Tokyo, and Contract Theory Workshop at Kyoto University for helpful comments and suggestions. We would also like to thank an anonymous referee for valuable comments. This paper is part of the academic Project on Intergenerational Equity (PIE), funded by a scientific grant from Japans Ministry of Education, Culture, Sports, Science and Technology (grant number 603).     

Bank structure, capital accumulation and growth: a simple macroeconomic model

Summary. This paper analyzes the equilibrium growth paths of two economies that are identical in all respects, except for the organization of their financial systems: in particular, one has a competitive banking system and the other has a monopolistic banking system. In addition, the sources of inefficiencies, as a result of monopoly banking, and their relationship to the existence of credit rationing are explored. Monopoly in banking tends to depress the equilibrium law of motion for the capital stock for either of two reasons. When credit rationing exists, monopoly banks ration credit more heavily than competitive banks. When credit is not rationed, the existence of monopoly banking leads to excessive monitoring of credit financed investment. Both of these have adverse consequences for capital accumulation. In addition, monopoly banking is more likely to lead to credit rationing than is competitive banking. Finally, the scope for development trap phenomena to arise is considered under both a competitive and a monopolistic banking system. Received: September 20, 1999; revised version: December 3, 1999     

Endogenous growth cycles in an overlapping generations model with investment gestation lags

Summary. A simple overlapping generations model with investment gestation lags is constructed. The model shows that, if the technology is of the AK type with capital-deepening externalities, the existence of investment gestation lags always generates permanent cyclical fluctuations in the economic growth rate. The mean growth rate is shown to be positive if the external effect is strong. The model also shows that, if the production technology takes the Cobb-Douglas form, there exists a unique steady state in which the economy exhibits neither cyclical fluctuations nor long-run growth.Received: 3 July 2003, Revised: 3 December 2003, JEL Classification Numbers: E32, B13. Correspondence to: Akiomi KitagawaAkiomi Kitagawa, Akihisa Shibata: The authors would like to thank Yasushi Iwamoto, Kazuo Mino, an anonymous referee and seminar participants at the Macroeconomics Workshop for their helpful comments and suggestions. Financial support from the Ministry of Education, Culture, Sports, Science and Technology of Japan is gratefully acknowledged.     

Inflation and output dynamics in a model with labor market search and capital accumulation

In a sticky-price model with labor market search and habit persistence, Walsh (2005) shows that inertia in the interest rate policy helps to reconcile the inflation and output persistence with empirical observations for the US economy. We show that this finding is sensitive with regard to the introduction of capital formation. While we are able to replicate the findings for the inflation inertia in a model with capital adjustment costs and variable capacity utilization, the output response to an interest shock is found to be too large and no longer hump-shaped in this case. In addition we find that the response of output to a technology shock can only be reconciled with empirical findings if either the adjustment of the utilization rate is very costly or there is only a modest amount of nominal rigidity in the economy.     

Existence of equilibrium in an OLG model with production and altruistic preferences

Summary. This note deals with the existence and uniqueness of a non-trivial steady-state equilibrium in an overlapping generations (OLG) model with productive capital and altruistic agents. We establish a necessary and sufficient condition for operative bequests which extends Abel (1987) and Weil (1987). Interestingly, we prove that the OLG model with production and altruistic agents always experiences a non-trivial steady-state equilibrium. Received: July 16, 1998; revised version: January 29, 1999     

Factor accumulation in Canada before the Great Depression: investment and immigration dynamics

The links between economic growth, investment and migration are explored to determine if one of the mobile factors of production, capital or labor, led the other to accumulate in Canada during several boom episodes over 1870 to 1927. The results of an econometric analysis, using time series techniques, suggest that rising per capita incomes led to increased domestic investment and net immigration, and that foreigners joined the investment booms after domestic residents invested in Canadian development first.

Real exchange rate and productivity in a specific-factor model with skilled and unskilled labour

The present study develops a two-sector specific factor model in which capital is mobile between sectors. We assume that the traded (non-traded) sector uses skilled (unskilled) labour for production. The theoretical model reveals that the real exchange rate (RER) response to a productivity shock depends on the countries’ relative abundance of skilled labour: a rise in traded productivity leads to a higher RER appreciation in a country whose relative skilled labour rate is high. Using panel data, structural break tests confirm that the skilled versus unskilled labour ratio may be a significant splitting variable. In the long run, the relationship between productivity and RER may be positive or negative, as suggested by the theoretical model, depending on the country’s relative abundance of skilled labour.     

Aggregate risk sharing and equivalent financial mechanisms in an endowment economy of incomplete participation

Summary. A pure endowment overlapping generations economy can be inefficient because of insufficient risk sharing. The introduction of an outside asset by a government or the existence of a clearing house can remedy the inefficiency by allowing some intergenerational risk sharing. While the typical outside asset is fiat money, many alternative financial mechanisms, such as social security, risk-free government bonds, mispriced deposit insurance, and income insurance can serve the same function as fiat money. Hence there are many equivalent financial mechanisms that provide intergenerational insurance. In the presence of uncertainty, there are several concepts of Pareto optimality that can be appropriately applied in an overlapping generations setting. I examine the risk-sharing arrangements associated with two different concepts of optimality, including how these arrangements are financed. The results are related to, and in some instances an extension of, the equivalence results obtained by Chamley and Polemarcharkis (1984), Weiss (1977), and Wallace (1981).Received: 4 March 2003, Revised: 30 January 2004JEL Classification Numbers: E40, E44, D51.P. Labadie: I would like to thank the participants of the Economic Theory Symposium Recent Developments in Money and Finance at Purdue University, May 2-4, 2003 and an anonymous referee for comments on this version. I am grateful to Bruce Smith for comments on an earlier version.     

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.     

Gender gap,capital accumulation and the demographic transition

This paper focuses on explaining the demographic transition and some of the broad patterns that are associated with it. We present an endogenous growth model that incorporates altruism and son preference within the family as well as gender wage gap and gender wage discrimination in the labour market. We show that with the accumulation of physical capital and human capital, the output share of mental labour increases and the gender wage gap narrows. In the early stages of economic development, gender discrimination is becoming prevalent and the substitution effect of capital accumulation, which raises the cost of child rearing, is dominated by the income effect, so the growth rate of population increases with income. When the degree of gender wage discrimination starts to decline, the increased cost of child rearing induces families to invest more in the human capital of children and the growth rate of the population falls. The quantitative analysis shows that gender wage discrimination is indeed an important contributor to the demographic transition.     

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.     

On the marginal excess burden of taxation in an overlapping generations model

We extend marginal excess burden (MEB) analysis in public finance literature to a dynamic general equilibrium model with incomplete markets and heterogeneous households. This extension allows us to quantitatively assess efficiency ranking and incidence of taxes. Our results indicate a disparity in welfare cost and distributional consequence of different forms of taxation on capital, labor and consumption. According to our MEB ranking, capital income taxation appears to be least efficient as it results in larger marginal excess burdens, compared to labor income tax and consumption tax. The tax incidence analysis shows variation of tax burdens across households, depending on their age, income type and generation. In particular, older households with higher income bear the highest burden of company income tax; meanwhile, future born households bear the highest burden of personal income tax. Hence, our MEB analysis demonstrates a fruitful approach to better understanding efficiency and incidence of tax reforms in one unified framework.