On the Dynamics of Basic Growth Models: Ratio Stability vs. Convergence and Divergence in State Space

Abstract. We show for a class of basic growth models that convergence in ratios does not imply the pathwise convergence to the corresponding balanced growth path in the state space. We derive conditions on parameters and on the elasticity of the savings function for convergence or divergence and apply our results to the Solow model, an augmented Solow model as well as to an optimal growth model. An implication for the convergence debate is that two economies that differ only in the initial capital stock and converge in per capita terms might diverge to infinity in absolute terms.     

Openness can be good for growth: The role of policy complementarities

This paper studies how the effect of trade openness on economic growth may depend on complementary reforms that help a country take advantage of international competition. This issue is illustrated with a simple Harris–Todaro model where welfare gains after trade openness depend on the degree of labor market flexibility. The paper then presents cross-country, panel-data evidence on how the growth effect of openness may depend on a variety of structural characteristics. For this purpose, the empirical section uses a non-linear growth regression specification that interacts a proxy of trade openness with proxies of educational investment, financial depth, inflation stabilization, public infrastructure, governance, labor market flexibility, ease of firm entry, and ease of firm exit. The paper concludes that the growth effects of openness may be significantly improved if certain complementary reforms are undertaken.     

What really matters: Discounting, technological change and sustainable climate

This paper discusses the interplay between the choice of the discount rate, greenhouse gas mitigation and endogenous technological change. Neglecting the issue of uncertainty it is shown that the Green Golden Rule stock of atmospheric carbon is uniquely determined, but is not affected by technological change. More generally it is shown analytically within the framework of a reduced model of integrated assessment that the optimal stationary stocks of atmospheric carbon depend on the choice of the discount rate, but are independent of the stock of technological knowledge. These results are then reinforced numerically in a fully specified integrated assessment analysis.     

INTERTEMPORAL UTILITY SMOOTHING: THEORY AND APPLICATIONS

This paper reviews models of intertemporal choice designed to be consistent with a phenomenon called a preference for spread; that is, where a decision‐maker prefers to spread good and bad consumption evenly over time. We closely examine the notion of utility smoothing adopted in these models as a source of the preference for spread. The paper also reviews extensions of these models where a strong aversion to volatility involved in a utility sequence causes preferences to be nonmonotone. Furthermore, to gain a better understanding of the behaviour implied by these models, we apply them to the Diamond growth model.     

创新的合约选择与企业家精神

该文探讨熊彼特意义上的企业家在科斯一张五常企业理论中存在的合理性.经验上,相对于有形产品,就无形的产品创意进行交易和定价的费用显然要高很多.据此,该文的逻辑大致是:当产品创意的交易费用过高,以至于通过合约出让产品创意的选择受到了限制时,放弃对它进行直接交易和定价,转而对经由产品创意生产出来的有形产品进行交易和定价,就是节省交易费用的一种选择.不过,一旦创新者通过这种间接定价方式实现来自产品创意的收入,那么,理论上它也就成为现代企业理论中熊彼特意义上的创新企业家了.     

Currency demand,new technology,and the adoption of electronic money: Micro evidence from Japan

We estimate currency demand functions conditional on electronic money adoption with household-level survey data from Japan under an Instrumental Quantile Regression framework. Contrary to theoretical predictions, our results suggest that users of electronic money hold more currency than non-users.     

Solving optimal growth models with vintage capital: The dynamic programming approach

This paper deals with an endogenous growth model with vintage capital and, more precisely, with the AK model proposed in [R. Boucekkine, O. Licandro, L.A. Puch, F. del Rio, Vintage capital and the dynamics of the AK model, J. Econ. Theory 120 (1) (2005) 39-72]. In endogenous growth models the introduction of vintage capital allows to explain some growth facts but strongly increases the mathematical difficulties. So far, in this approach, the model is studied by the Maximum Principle; here we develop the Dynamic Programming approach to the same problem by obtaining sharper results and we provide more insight about the economic implications of the model. We explicitly find the value function, the closed loop formula that relates capital and investment, the optimal consumption paths and the long run equilibrium. The short run fluctuations of capital and investment and the relations with the standard AK model are analyzed. Finally the applicability to other models is also discussed.     

Anti-competitive conduct, in-house R&D, and growth

Incumbent firms have two basic possibilities to improve their competitive position in the product market: Investment in R&D and the creation of entry barriers to the disadvantage of potential rivals, e.g. through lobbying activities, campaign contributions, bribes or the adoption of incompatible technologies. This paper proposes a simple oligopoly model which raises the possibility that such anti-competitive conduct and R&D investment are complementary activities for incumbents. Consequently, an institutional framework or technological possibilities which encourage anti-competitive conduct, although impeding entry of potential rivals and accentuating standard oligopoly distortions, may foster R&D-based growth and welfare. However, this outcome is less likely if entrants exert technological spillover effects, e.g. through foreign direct investment. Stronger protection of intellectual property rights, although triggering anti-competitive conduct and thereby impeding market entry as well, is more likely to foster economic growth.     

Population dynamics and utilitarian criteria in the Lucas–Uzawa Model

This paper introduces population growth in the Uzawa–Lucas model, analyzing the implications of the choice of the welfare criterion on the model's outcome. Traditional growth theory assumes population growth to be exponential, but this is not a realistic assumption (see Brida and Accinelli, 2007). We model exogenous population change by a generic function of population size. We show that a unique non-trivial equilibrium exists and the economy converges towards it along a saddle path, independently of population dynamics. What is affected by the type of population dynamics is the dimension of the stable manifold, which can be one or two, and when the equilibrium is reached, which can happen in finite time or asymptotically. Moreover, we show that the choice of the utilitarian criterion will be irrelevant on the equilibrium of the model, if the steady state growth rate of population is null, as in the case of logistic population growth. Then, we show that a closed-form solution for the transitional dynamics of the economy (both in the case population dynamics is deterministic and stochastic) can be found for a certain parameter restriction.     

Indeterminacy, underground activities and tax evasion

This paper introduces underground activities and tax evasion into a one-sector dynamic general equilibrium model with aggregate external effects. The model presents a novel mechanism driving the self-fulfilling prophecies, which is characterized by well behaved (downward sloping) labor demand schedules. This mechanism differs from the customary one, and it is complementary to it. Compared to traditional labor market income, the income derived from underground labor activity is subject to a lower expected tax rate when considering both the probability of detection and the evasion penalty. During a belief-driven expansion, the household allocates more time to both traditional and underground labor supply. In equilibrium, this action serves to lower the effective labor tax rate faced by the household, thus providing stimulus to aggregate labor supply so as to make the initial expansion self-fulfilling. The mechanism here is akin to a “regressive tax”; the household's effective tax rate depends negatively on the level of total labor income. We argue that an underground sector, and the associated tax evasion, offer a good economic rationale for a regressive tax rate.     

Inflation,inflation uncertainty and growth: Are they related?

We examine the relationship between inflation uncertainty, inflation and growth using annual historical data on industrial countries covering in many cases more than one century. Proxying inflation uncertainty by the conditional variance of inflation shocks, we obtain the following results. (1) There is significant evidence for the positive effect of inflation uncertainty on inflation supporting the Cukierman–Meltzer hypothesis. (2) There is mixed evidence on the causal effect of inflation on inflation uncertainty. (3) There is strong evidence that inflation uncertainty is not detrimental to output growth.     

Growth, habit formation, and catching-up with the Joneses

When habits are introduced multiplicatively in a capital accumulation model, the consumers’ objective function might fail to be concave. In this paper, we provide conditions aimed at guaranteeing the existence of interior solutions to the consumers’ problem. We also characterize the equilibrium path of two growth models with multiplicative habits: the internal habit formation model, where individual habits coincide with own past consumption, and the external habit formation (or catching-up with the Joneses) model, where habits arise from the average past consumption in the economy. We show that the introduction of external habits makes the equilibrium path inefficient. We characterize in this context the optimal tax policy.     

Resource abundance, growth and welfare: A Schumpeterian perspective

This paper takes a new look at the long-run implications of resource abundance. It develops a Schumpeterian model of endogenous growth that incorporates an upstream resource-intensive sector and yields an analytical solution for the transition path. It then derives conditions under which, as the economy's endowment of a natural resource rises, (i) growth accelerates and welfare rises, (ii) growth decelerates but welfare rises nevertheless, and (iii) growth decelerates and welfare falls. Which of these scenarios prevails depends on the response of the natural resource price to an increase in the resource endowment. The price response determines the change in income earned by the owners of the resource (the households) and thereby the change in their expenditure on manufacturing goods. Since manufacturing is the economy's innovative sector, this income-to-expenditure effect links resource abundance to the size of the market for manufacturing goods and drives how re-source abundance affects incentives to undertake innovative activity.     

CROSS-COUNTRY EVIDENCE ON OUTPUT GROWTH VOLATILITY: NONSTATIONARY VARIANCE AND GARCH MODELS

This paper revisits the issue of conditional volatility in real gross domestic product (GDP) growth rates for Canada, Germany, Italy, Japan, the United Kingdom, and the United States. Previous studies find high persistence in the volatility. This paper shows that this finding largely reflects a nonstationary variance. Output growth in the six countries became noticeably less volatile over the past few decades. In this paper, we employ the modified iterated cumulative sum of squares (ICSS) algorithm to detect structural change in the variance of output growth. One structural break exists in each of the six countries after identifying outliers and mean shifts in the growth rates. We then use generalized autoregressive conditional heteroskedasticity (GARCH) specifications, modeling output growth and its volatility with and without the break in volatility. The evidence shows that the time-varying variance falls sharply in Canada and Japan, and disappears entirely in Germany, Italy, the United Kingdom and the United States, once we incorporate the break in the variance equation of output for the six countries. That is, the integrated GARCH (IGARCH) effect proves spurious and the GARCH model demonstrates misspecification, if researchers neglect a nonstationary variance. Moreover, we also consider the possible effects of our more correct measure of output volatility on output growth as well as the reverse effect of output growth on its volatility. The conditional standard deviation possesses no statistical significance in all countries, except a significant negative effect in Japan. The lagged growth rate of output produces significant negative and positive effects on the conditional variances in Germany and Japan, respectively. No significant effects exist in Canada, Italy, the United Kingdom, and the United States.     

Vintage capital and the dynamics of the AK model

This paper analyzes the equilibrium dynamics of an AK-type endogenous growth model with vintage capital. The inclusion of vintage capital leads to oscillatory dynamics governed by replacement echoes, which additionally influence the intercept of the balanced growth path. These features, which are in sharp contrast to those from the standard AK model, can contribute to explaining the short-run deviations observed between investment and growth rates time series. To characterize the optimal solutions of the model we develop analytical and numerical methods that should be of interest for the general resolution of endogenous growth models with vintage capital.     

Growth effects of government expenditure and taxation in rich countries: A reply

Agell et al. (2005) criticise our earlier findings (Fölster and Henrekson 2001) of a robust negative relationship between government size and economic growth for an extended sample of rich countries. In this short paper it is argued that their critique is unfounded. Most importantly, the critique does not deal with the main result of the original study, namely that the most complete specifications for assessing the relationship between government expenditure and growth in rich countries are robust even according to stringent extreme bounds criteria.     

Finance–Growth Nexus and the P‐bias: Evidence from OECD Countries

Recent studies provide new empirical evidence confirming that financial development is linked to economic growth in OECD countries. Using new dynamic panel regression techniques, these appraisals indicate that within the group of high‐income countries stock market size as a measure of financial advancement contributes significantly to overall economic activity. Applying the same advanced techniques, this paper questions this conclusion by showing that the findings of these studies seem to be not only not robust with respect to adding new observations but also likely to be plagued by a severe price bias which belittles the information content of the used financial indicator (stock market capitalization). We provide evidence that anticipative price effects (i.e. expectations of future growth, reflected in current stock prices) may be driving the statistical relationship between stock market activities and economic growth in high‐income countries to a much larger extent than recent analyses of the finance– growth link in OECD countries suggest .     

Are external shocks responsible for the instability of output in low-income countries?

External shocks, such as commodity price fluctuations, natural disasters, and the role of the international economy, are often blamed for the poor economic performance of low-income countries. This paper quantifies the impact of these different external shocks using a panel vector auto-regression approach and determines their contributions to output volatility in low-income countries. We find that they can only explain a small fraction of the output variance of a typical low-income country. Other factors, most likely internal causes, are the main source of fluctuations. From a quantitative perspective, the output effect of external shocks is typically small in absolute terms, but significant relative to the historic performance of these countries.