The instability principle revisited: an essay in Harrodian dynamics

Abstract

Harrod's contribution to economic dynamics is very often reduced to the dynamic equation whose character is unstable. Growth theory and cycle theory based on Harrod's contributions aimed at reducing this instability. Following Harrod, who was strongly opposed to the ‘knife-edge’ interpretation, we define the warranted rate of growth as a ‘moving equilibrium’ and focus on its interaction with the effective rate of growth. Our simple Harrodian model generates various dynamics from stable path, to growth cycle and corridor of stability.     

Entrepreneurial Skills,Technological Progress,and Firm Growth*

Using cross-country establishment-level data, I show that employment profiles over a firm's life cycle are flatter in fast-growing economies than in slow-growing economies. The difference in average employment over the firm's life cycle increases with plant age. I propose a frictionless overlapping-generations model with exogenous technological progress. Firm productivity also depends on entrepreneurs’ skills. Entrepreneurs can increase their skills over their life cycle, but the growth of the vintage component of younger cohorts’ skills is higher in fast-growing economies than in slow-growing economies. This model is able to explain most of the differences observed in the sample between fast-growing and slow-growing economies.     

Forecasting demand for a newly introduced product using reservation price data and Bayesian updating

Forecasting demand during the early stages of a product's life cycle is a difficult but essential task for the purposes of marketing and policymaking. This paper introduces a procedure to derive accurate forecasts for newly introduced products for which limited data are available. We begin with the assumption that the consumer reservation price is related to the timing with which the consumer adopts the product. The model is estimated using reservation price data derived through a consumer survey, and the forecast is updated with sales data as they become available using Bayes's rule. The proposed model's forecasting performance is compared with that of benchmark models (i.e., Bass model, logistic growth model, and a Bayesian model based on analogy) using 23 quarters' worth of data on South Korea's broadband Internet services market. The proposed model outperforms all benchmark models in both prelaunch and postlaunch forecasting tests, supporting the thesis that consumer reservation price can be used to forecast demand for a new product before or shortly after product launch.     

The business cycle in a financially deregulated context: Theory and evidence

This article proposes Minsky's financial instability hypothesis (FIH) as a theoretical underpinning for a three‐regime business cycles model. Further, it is argued that the development of the FIH for open, developing economies (FIH‐ODE) provides a better understanding of the performance of business cycles in these economies, particularly during the last two decades. In support of these claims, a three‐regime autoregressive Markov switching model is estimated from 1980q1 to 2000q4 to Mexico's quarterly real GDP to investigate its business cycle behaviour. The estimated probabilities of the high and medium growth regimes suggest, for example, that after the financial liberalisation programme was fully launched, in the late 1980s, the economy shifted from the regime of medium to high growth (and vice versa) swiftly, reflecting its dependence on capital flows. Furthermore, the estimated parameters indicate that the average length of the business cycle has not changed.     

Output Variability and Economic Growth: the Japanese Case

We examine the empirical relationship between output variability and output growth using quarterly data for the 1961–2000 period for the Japanese economy. Using three different specifications of GARCH models, namely, Bollerslev's model, Taylor/Schwert's model, and Nelson's EGARCH model, we obtain two important results. First, we find robust evidence that the “in‐mean” coefficient is not statistically significant. This evidence is consistent with Speight's (1999) analysis of UK data and implies that output variability does not affect output growth. In other words, this finding supports several real business cycle theories of economic fluctuations. Second, we find no evidence of asymmetry between output variability and growth, a result consistent with Hamori (2000) .     

China's Recent Economic Performance and Future Prospects*

Our forecast of China's economic future is based primarily on the supply side growth accounting model. The life cycle model of household saving provides us with the most plausible explanation for a continued high rate of savings and investment. China's labor force will soon stop growing, but migration out of agriculture should have little impact on farm output while providing a steady stream of labor to the modern more productive sectors. There is also room for rapid expansion of human capital. Maintaining high productivity growth will depend primarily on strengthening currently weak institutions, notably the financial sector and, more importantly, the legal system.     

Okun's Law and the asymmetric and changing cyclical behaviour of the USA economy

This article examines the impact of the changing composition of the USA economy on Okun's Law. The article begins by reformulating Okun's Law to take account of the asymmetric nature of the USA business cycle, and estimates of the reformulated model confirm a break in the Okun coefficient around 1974. The principal findings are that the Okun coefficient has increased, and that the cycle has become more asymmetric. These changes are due to changes in the pattern of employment growth which has become more cyclically sensitive, and to a change in female labour supply behaviour which is now less affected by downturns.     

VALUING LOST HOME PRODUCTION OF DUAL EARNER COUPLES*

Using a life‐cycle model in which women divide their time between home and market work, we establish a link between retirement wealth and the value of forgone home production. We use data from the Health and Retirement Study to estimate the model's parameters and adjust the growth rate of GDP to reflect reductions in nonmarket output. We find that the value of forgone home production is modest—about 25% of women's measured earnings.     

New Economic Indicators for Australia, 1949-84

This article attempts to identify and describe the main characteristics of Australia'a business cycles during the period 1949 to 7984 with the aid of leading, coincident, and lagging indicators, using the methodology of the International Economic lndicator project at the Center for lnternational Business Cycle Research, Columbia University, New York. The methodology to identify Australia's classical cycle and growth cycle chronologies is discussed. Reviews are made of the lead-lag patterns of, first, both chronologies in relation to the specific cycles of the individual coincident indicators, and second, the growth chronology in relation to the leading and lagging indicators. Australia's growth cycle chronology is compared with the chronology of other countries, notably of United States, United Kingdom, and Japan. The general uses of an indicator analysis are reviewed. An appendix compares the reference cycle chronologies previously available for Australia and the indicators used to obtain them.     

The within-distribution business cycle dynamics of German firms

In this article, we analyse stylized facts for Germany's business cycle at the firm level. Based on longitudinal firm-level data from the Bundesbank's balance sheet statistics covering, on average, 55 000 firms per year from 1971 to 1998, we estimate transition probabilities of a firm in a certain real sales growth regime switching to another regime in the next period, e.g. whether a firm that has witnessed a high growth rate is likely to stay in a regime of high growth or is bound to switch to a regime of low growth in the subsequent period. We find that these probabilities depend on the business cycle position.     

Distributive cycles and endogenous technical change in a BoPC growth model

Our purpose in this paper is to expand Goodwin's (1967) distributive cycle model to an open economy framework in a way that incorporates the balance-of-payments constraint on growth. We do so by allowing technical change to be endogenous to the cyclical dynamics of the system and by adopting an independent investment function. We show that a Hopf-Bifurcation analysis establishes the possibility of persistent and bounded cyclical paths both for a 3D and a 4D extension of the model. Some numerical simulations are performed based on the analytical models developed. Motivational empirical evidence is also provided for Thirlwall's law using a sample of 16 OECD countries.     

The French Revolution and the Creation of Benthamism

Abstract

The article investigates Knut Wicksell's interpretation of aggregate economic fluctuations. It is shown that Wicksell described the business cycle as oscillations of an economy with increasing population and scarce natural resources around its steady growth path ('dynamic equilibrium'), provoked by sporadic technological progress. The ‘shocks’ bring about a wave‐like motion because of psychological and technical lags in the economic structure. Wicksell's suggestion that excess net savings in the depression take the form of stocks of commodities is compared to his contemporaries’ answers to the question ‘What happens to savings during the depression?’ The article also puts forward a relatively neglected connection between Malthus’ and Wicksell's notions of over‐production. Divergences between the natural and market rates of interest — essential to his better‐known ‘cumulative process’ ‐ are not a necessary part of Wicksell's business cycle, but they are important to explain why the upper turning‐point can have the nature of a crisis, which results from wrong expectations induced by cumulative price movements.     

Mentor Bouniatian on cycles and equilibrium

Although Mentor Bouniatian's theory of the business cycle is no longer referred to, it used to be often cited for its emphasis on time-lags (wherein he anticipated Aftalion) and for its early use of the acceleration principle. There are, moreover, additional elements of interest: he identified the conditions for a moving equilibrium, with some traits similar to the so-called ‘Harrod-Domar model’, he introduced the exogenous/endogenous distinction in business cycle theory, he was among the pioneers of the idea that growth cannot be dissociated from cycles and crises, and he discussed aspects of the ‘fallacy of composition’ problem.This paper examines these features of Bouniatian's theory of cycles and crises (as well as some frankly unsuccessful ones), both in terms of their relationships with contemporary developments in this area of research and in terms of their internal logic and methodology and their role in Bouniatian's analytical construction. As an upshot it is argued that although Bouniatian attempted to couch his theory in terms of the marginalist toolbox, his views on cycles ranges were more akin to the tradition of heretics, for he thought of crises not as a temporary deviations from equilibrium but perceived instead equilibrium as a temporary state of affairs in a world where overcapitalization is the norm rather than an exception.     

中国电力周期与经济周期的协同性——基于Markov区制转移模型

采用1978—2015年中国电力消费和国内生产总值的年度数据,基于"三区制"马尔科夫区制转移模型,研究了电力消费和经济增长的动态转变过程,识别和划分了改革开放后中国电力周期和经济周期的阶段,并分析了两者在不同阶段的协同性。结果表明:电力周期和经济周期均具有低速增长期、稳定增长期和高速增长期三个区制转移特征;电力消费在低速增长期和高速增长期的波动性明显高于GDP,而在稳定增长期的波动性则显著小于GDP;20世纪80年代中期以前,是电力周期和经济周期的静态协同期;20世纪80年代中后期,两者处于非协同期;之后,两者处于显著的跨区制动态协同期,且处于协同期的电力周期与经济周期在时间上表现出较高的一致性。     

On the measurement and analysis of aggregate economic activity for China: the coincident economic indicators approach

This paper reviews some of China's high-frequency economic indicators and our principal findings on their selection and use. Our aim is to develop a composite index of coincident economic indicators (coincident economic index, CEI) which can be used to obtain timely information on the present state of the China's economy and provide an appropriate measure to analyze China's short-term macroeconomic dynamics. Notably, combining industrial production, retail sales, manufacturing employment, income of financial institutions and passenger traffic volume, they work well as the method for dating business cycles for China. It shows that, over the past two decades, there was one marked recession which occurred in 1988:8 to 1989:12. In addition to this business cycle chronology we also develop a growth cycle chronology based on the deviations from trend of the CE which shows that there have been four cyclical slowdowns since 1986. Whereas GDP growth lacks cyclical movements and appears to be dominated by trend and irregular movements, in contrast to GDP, the CEI works well as a measure of cyclical dynamics and can contribute to the analysis of short-term fluctuations of Chinese economic activity relative to its long-term growth.     

China's Fiscal Decentralization and Regional Economic Growth

The present paper applies Lucas's theory of endogenous growth and Stiglitz's theory of local public goods to build an econometric model consisting of five simultaneous equations to study China's fiscal decentralization effects on regional economic growth. The model is estimated by two‐stage least squares using a set of panel data on 31 Chinese provinces during 1996–2005. The estimated results show that China's fiscal decentralization increased the local governments' expenditure on physical infrastructure and education, which led to the rising local physical capital stock and human capital levels, respectively, and then resulted in the growth of regional economies.     

The PRC's long-run growth through the lens of the export-led growth model

We explain China's remarkable growth performance over the last three decades through an export-led growth (ELG) model, where countries need to export to pay for their imports. We show that China's actual long-run growth rate is well approximated by its balance-of-payments equilibrium (BOPE) growth rate, defined as the long-run growth rate consistent with current account equilibrium. This growth rate is given by the ratio of the growth rate of exports to the income elasticity of imports. We estimate the latter using the Kalman filter, which allows us to obtain a time-varying estimate of China's BOPE growth rate. We find that the average value of China's BOPE growth rate during 1981–2016 was about 11 percent but fluctuated significantly over time and declined notably after 2007. It is estimated to be 5.9 percent in 2015. We then discuss the determinants of China's BOPE growth rate and of the income elasticity of imports, with the help of the Bayesian Model Averaging technique. The analysis highlights the role of the composition of aggregate demand as the main driving force, both for its direct effects on the income elasticity of imports, and for the indirect effects on export growth via capital accumulation, in particular fixed asset investment. Our analysis has important implications to understand China's transition to a “New Normal” of a lower growth rate and the effects of the external and internal rebalancing strategy pursued from the early 2000s.     

LAND PRICE,COLLATERAL AND ECONOMIC GROWTH*

This paper extends Kiyotaki and Moore's (1997 ) to an endogenous growth model and investigates the dynamic properties of a growing economy with binding credit constraint when land is used not only as an input of production but also as collateral. There exists a balanced growth path in an economy with binding credit constraint. In response to a once and for all productivity shock, the developed model shows the propagation mechanism among output, capital, bank credit and the land price in terms of the growth rate. The model's tractability allows us to derive interesting qualitative and quantitative findings on business cycles.     

Discretely proceeding from cycle to chaos on Goodwin's path

Goodwin's [Goodwin, R.M., 1951. The nonlinear accelerator and the persistence of business cycles. Econometrica 19, 1–17; Goodwin, R.M., 1955. A model of cyclical growth. In: Lundberg, E. (Ed.), The Business Cycle in the Post-war World. Macmillan, London, pp. 203–221] nonlinear multiplier–accelerator model, worked out in continuous-time, is a recognised contribution to business cycle theory. It is rarely observed that its first version was a linear model formulated in discrete-time [Goodwin, R.M., 1946. Innovations and the irregularity of economic cycles. Review of Economics and Statistics 28, 95–104]. A few decades later, he restated the fully-fledged nonlinear version of the model in discrete-time showing that such a version may account better for the complex behaviour of empirical time series [e.g., Goodwin, R.M., 1985. An irregular, asymmetric oscillator, or The discrete charm of erraticism, Mimeo, Siena (reproduced, with the title The discrete charm of erraticism, in Goodwin, R.M., 1989. Essays in Nonlinear Economic Dynamics. Peter Lang, Frankfurt am Main, pp. 139–156); Goodwin, R.M., 1988. The multiplier/accelerator discretely revisited. In: Ricci, G., Velupillai, K. (Eds.), Growth Cycles and Multisectoral Economics: The Goodwin Tradition. Springer-Verlag, Berlin, pp. 19–29]. The article reconstructs the evolution of the multiplier–accelerator model in Goodwin's thought with special emphasis on the early and late discrete version. First, the genesis of the model is considered in some depth in order to clarify its foundations based on the constraints of a monetary economy. Second, the results of Goodwin's late contributions are amended and generalised. Finally, the path followed by Goodwin is reconstructed and appraised in the light of the dialectics between continuity and discontinuity, regularity and irregularity, stability and instability that steered its direction. The main conclusion is that Goodwin's path should be further pursued as an effective alternative to the equilibrium business cycle models.