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Lecture notes: “Why are some countries rich and others poor? social, cultural and economic determinants of industrialisation”. Lecture 3. I. Introduction. Economists are often 2-faced – a simple model of the world for the public, and a very different discourse amongst themselves – vis. The two sides of Paul Krugman Public face: single equilibrium, free market models, with strong benefits from free trade, and a limited role for government action; Private discussion: multiple equilibria → possibility that govt. action could shift economy from one equilibrium to another. Problems of reading economics articles: 1. high level of technical difficulty, maths etc 2. highly abstract artificial models: world modelled as a single, infinitely lived household, producing one good, using a two factor technology: but: good models, manage to produce something interesting from this; bad models: just an exercise in mathematical manipulation however: economics matters – what we have discussed in the first two lectures is based on the view that economies should grow – that growth is normal. II. The neo-classical model, aka the Solow model. OVERHEAD 1. GROWTH MODELS I. 1.The Neo-Classical Model (Solow Model): Ykt = f (At , Kkt , Lkt ) where: f is a production function with constant returns to scale with respect to K and L(doubling K and L doubles Y); At is the state of world technology in time period t; Kkt is the stock of physical capital in country k in time period t; Lkt is the total labour input (hours) in country k in time period t. 2. The Neo-Classical Model with labour-augmenting technical progress: Y = f (K, AL) 3. The Cobb-Douglas production function with constant returns to scale: Y = A.Kβ.L1-β IMPLICATIONS OF THE NEO-CLASSICAL MODEL: 1. 2. 3. 4. in the long run, economy converges to a steady state, with income levels determined by technology, the rate of savings and the rate of population growth. the rate of growth in the steady state is determined exclusively by the growth of technology in the steady state, profit rates are constant, while wages rise for economies below the steady state path, there is a strong process of convergence, Notes: 1. technology is world technology and available to all at zero cost; technology is not owned by anyone capital is physical capital; as measured by accountants for example (for different reasons) → importance of scrapping conventions. 2. model solves for 1. a steady state of growth which is independent of initial conditions; 2. level of income in steady state which is determined by rate of savings, and population growth; 3. rate of growth which is determined by rate of tech increase in world; 4. strong convergence property. 3. extensions of the model: 1. savings function: make savings a function of time preferences → increased complexity, and use of dynamic optimisation techniques = a considerable obstacle for the reader. 2. quality adjustment of the labour force (or capital) 4. advantages of the model: 1. very simple – can be used for sector analysis; 2. TFP calculation is mainstay of growth analysis; 3. seems to work well for short/medium term analysis of mature industrial economies; 4. may be appropriate for a country which imports a lot of technology (Ireland; UK) 5. Problems with the model (see: Mankiw for analysis) 1. cannot predict the scale of international differences in GDP/capita: only 2-2.5: 1, not 10:1 2. predicts rate of convergence 2x faster than actually happens 3. productivity of capital should be much higher in developing countries: 100x larger, or 500% against 5%. (→ massive convergence due to flows of capital) OVERHEAD 2 GROWTH ACCOUNTING (TOTAL FACTOR PRODUCTIVITY CALCULATIONS): (see. D.Romer – Advanced Macroeconomics, 1996, p.26) From the neo-classical model with labour augmenting technical progress: ΔY = α ΔK + (1- α )ΔL + ΔA Where ΔY, ΔK, ΔL and ΔA are proportional changes in GDP, the capital stock, the labour input and technology; α is the elasticity of output with respect to capital and (1- α) is the elasticity of output with respect to labour. With perfect competition, all factors are paid their marginal product, so: α = MPK. K/Y, which is the share of capital in national income (rents + profits), and (1-α) = MPL. L/Y, which is the share of wages in national income. EXAMPLE (from C. Feinstein et al British Economic Growth, 1856-1973, 1982, p. 208) Britain 1873-1913: capital share in national income was 43%; labour share was 57%. Annual rate of growth of labour input (hours) weighted by labour share Annual rate of growth of gross capital stock weighted by capital share Combined rate of increase of factor inputs Actual rate of increase of GDP Implied rate of increase of total factor productivity 0.9 0.57 1.9 0.43 1.3 1.8 0.5 6. Performance of the model in historical analysis 1. Calculation of the TFP residual, is useful check, but quite erratic OVERHEAD 3 Total factor productivity growth 1. United States 1800-1989 (David and Abramovitz) 2.5 TFP growth 2.0 1.5 1.0 .5 0.0 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 year 2. Britain 1856-1995 (Feinstein et. al; O’Ma honey) 3.0 2.5 TFP growth 2.0 1.5 1.0 .5 0.0 1856 1876 1896 1916 1936 1956 1976 1996 year 2. poor explanation of how technology is created: it is not manna from heaven → James Watt and the steam engine, Watt watches a kettle = fairy story for children in fact: Newcomen engine had been in use for 60-70 years and had been other attempts to improve it before Watt invented condenser → massive increase in efficiency and can be used away from coal fields. Watt (technician at Glasgow medical school) was motivated by financial rewards Also: 1. London was heated by coal, which was deep mined 2. → large market for steam engines so: can we produce a better theory? III. Human capital models Use a broader definition of capital → Lucas model & others Capital more broadly defined→ less convergence and lower returns on physical capital + explanation of lasting income differences Note: capital is still not owned by anyone → spillovers And due to this, there is a case for subsidies of human capital production → permanent differences in income, which depend on initial endowments and → permanent effects from shocks GROWTH MODELS II: A TWO SECTOR MODEL OF GROWTH WITH HUMAN CAPITAL (Lucas 1988) Production of final goods: Y = f ( K, (1- u).L.H) Production of human capital: ΔH = g (u).H Where: H is the stock of knowledge; u is the proportion of the total labour force engaged in research, and (1-u) is the proportion engaged in final goods production; g is the production function for the production of knowledge. IMPLICATIONS OF THE HUMAN CAPITAL MODEL 1. technology grows as a result of decisions to invest in new knowledge; 2. the model converges to a steady state determined by the savings rate and the proportion of the labour force engaged in research; 3. differences between countries are much more persistent, and can remain large if u is low in poor countries; 4. rates of profit in poor countries can be held down by low endowments of human capital and/or low rates of investment in education; 5. model assumes: 1. knowledge is not transferable across frontiers; 2. knowledge creates benefits which are both internal to the individual who invests in human capital and external (= spillovers). IV. Human capital models with learning by doing Much knowledge is not acquired by formal education but by learning on the job → learning by doing Note: this type of knowledge is not easily transferred, and therefore makes a better explanation of international differences in income levels GROWTH MODELS III. GROWTH WITH LEARNING-BY-DOING (Lucas 1993) IMPLICATIONS OF THE LEARNING-BY-DOING MODEL 1. 2. 3. learning is greatest with new products: economies which specialise in newer goods will have higher rates of human capital accumulation; with positive spillovers between high technology goods, this will give advanced economies an advantage in the production of such goods; there may be a North-South division between “northern” economies which specialise in newer goods and “southern” ones, specialising in older goods with few learning benefits. Liberty ships: 40% annual increase in industry output per manhour, mostly in first 2 years → 1. either heavy scale effects, or strong gains from specialisation, BUT it matters what one specialises in 2. the more an economy specialises in new goods the greater the gains from learning 3. with trade model → division between North and South: North – specialises in new goods with strong learning → more growth, more human capital accumulation South – specialises in older goods, little learning etc How can this be overcome? For large southern countries it may pay to reduce trade, and make gains from internal learning OVERHEAD 6 SOME QUOTES (Lucas 1993): “In Young’s framework there are equilibria in which the poor catch up to the rich, but only when their larger populations let them enjoy greater scale economies. Young does not emphasize this possibility and I do not wish to either” “The main engine of growth is the accumulation of human capital – of knowledge – and the main source of differences in living standards among nations is differences in human capital. ….for understanding periods of very rapid growth in a single economy, learning on the job seems to be by far the most central. For such learning to occur on a sustained basis, it is necessary that workers and managers continue to take on tasks that are new to them, to continue to move up the “quality ladder”. For this to be done on a large scale, the economy must be a large scale exporter. This picture… is consistent with any individual small economy following the East Asian example, producing a very different mix of goods from the one it consumes. It does not appear to be consistent with the third world as a whole beginning to grow at East Asian rates. There is a zero-sum aspect, with inevitable mercantilist overtones, to productivity growth fuelled by learning by doing.” ? Brazil v Argentina; India v Pakistan → 2 stage economic policy: 1. very poor country with little industry → autarchy to get some industry 2. when middle income → export push 2nd quote from Lucas → convergence of Lucas with dependency theory!! V. Human capital models and inequality A further extension of human capital models – people have to borrow to invest in Human capital → effect from inequality on growth (Benabou, Galor & Zeira) simple idea: 1. households decide whether or not to invest in training, or accept unskilled wages; 2. borrowing is costly due to monitoring costs which rise with amount borrowed 3. training is lumpy – either one is trained or not; 4. with unequal bequests: relatively few train, with more equal bequests or govt. support more do → more growth 5. note: realistic for many poor countries and also supported by growth regressions [but: may be other factors – social capital/ineq. and ineq. → sectional interests] VI. Endogenous growth theory 1. Someone does own technology !! 2. cost of replication of an idea is zero [Romer 1990 and 1994] 3. → very different world to neo-classical theory [Aghion and Howitt book – note attempt to be readable] note: there are many models and I’m not going to try to deal with all of them → Aghion and Howitt model 1. Schumpeterian model: creative destruction: value of an idea is destroyed by the next idea to come along 2. Costless replication → scale effect: if an idea is used by 7 or 7 million, the cost of production is the same, but the economic effect is vastly greater → effect of market size 3. 4. factors in the decision to produce new technology a. market size b. availability of research workers → more scale effects c. state of knowledge, building on other research → spillovers d. protection of intellectual property rights [note: may → less than optimal diffusion] e. discount rate f. extent and duration of expected monopoly g. functional form of the research equation implications: 1: zero tech. progress is also an equilibrium 2 can be threshold effects. 3. accelerating world growth!!! VII. Some extensions of endogenous growth theory (note: strength of the theory is in the extensions) 1. Technology transfer: some research imported→ fast convergence, if the build up of knowledge is faster than the transfer of capital 2. 3. ambiguity on the effect of monopoly: (Schumpeter’s point) a. too much → limited diffusion of ideas due to high charges b. but some monopoly power is needed to generate the incentives for research c. with capital market imperfections, large corporations may be needed to fund research leading sector analysis: technological opportunities concentrated in a few sectors → trade analysis, with the possibility of specialisation 4. high rates of tech. progress can lead to rapid obsolescence of ideas → accelerated scrapping of the capital stock (if ideas embodied in capital)→ fall in TFP growth 5. if tech. progress → rapid change over between sectors and workers are committed to one sector or another (limited mobility), → unemployment rising when tech change is high 6. distinction between general purpose technologies and secondary innovations → waves of improvement following major GPT advances (long wave analysis) and possibility of recessions following such changes (if disruptive) 7. scale effects → acceleration OVERHEAD Two millennia of economic growth: data from Maddison 1. % increase in average per capita GDP, by century. 400 300 200 100 0 -100 1st 3rd 5th 7th 9th 11th 13th 15th 17th 19th century 2. % increase in World GDP, by century 2000 1800 1600 1400 1200 1000 800 600 400 200 0 1st 3rd 5th 7th 9th 11th 13th 15th 17th 19th century Note: one doesn’t have to be a strong ecologist/environmentalist to find this unsustainable! Some mechanism will be needed to hold back any further acceleration (does not have to be a mechanism from within the growth model) VIII. Some conclusions Horses for courses: 1. Neo-classical model with adjustments for labour quality → good model for medium term analysis in advanced countries 2. Human capital models: best for under-developed countries today, who do not create much technology themselves, and we need to explain why they do not import tech. + capital 3. Endogenous growth theory: best at explaining major historical discontinuities – a macro-macro model mainly of interest to historians! EXAMPLE: the effects of colonial expansion and the size of the market on incentives for research in manufacturing in C18: effect of West African slave trade → world market in standardised manufactures (Liberty ships!) initially supplied by East India Company’s Indian calicos 1. British manage to mechanise printing (copper plate printing) 2. then could compete with Indian yarn → mechanisation 3. note: sustained research effort – learning from efforts made by others – spillovers into other sectors (chlorine bleaching) – effect on machinery building: all adds up to a research sector (why was a similar effort not made in India?) IX. Implications: 1. a much more varied range of conclusions than implied by World Bank reports – economists are still debating the answers 2. both endogenous growth and learning by doing models can → North-South models of trade, and the permanent division of the world into core-periphery 3. → case for strong action to break out of this (export push, accelerated human capital acquisition, importing of technology etc) 4. does the poor country have to do some research to adapt technology to local conditions? a. If not → need for education investments etc, and limited role for government b. If so → endogenous growth model, and more serious problem of creating incentives for local entrepreneurs to invest in research (esp. if country is poor, remote and small) 5. not an issue of exploitation: e.g. multinational company may base research, product development in rich country, and transfer mature products to poor country: due to human capital resources etc, but then perpetuates this division 6. Is this such a bad thing for the poor country? Depends on the alternative: if autarchy → inefficiency, corruption, and still not much research, then it may be better to accept a middle income position 7. life is not fair: there may be no moral justification for the current world distribution of income, but other countries/cultures may just have to lump it advantage of the west may not reflect any intrinsic virtue, it may be in part the legacy of the slave trade, booty capitalists, conquistadors etc – but nothing can be done about that now