Chapter 4 Technological Progress And Economic Growth

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Economic GrowthChapter 4Technological Progress and Economic Growth4.1 IntroductionTechnical progress is defined as new, and better ways of doing things, and newtechniques for using scarce resources more productively.An improved technology yields greater output from the same quantity of resources.A formal neo-classical definition of technical progress states that it is an autonomousphenomen causing the aggregate production function of an economy to shift upwards.This brings about a higher level of output for each different level of capital-laborratio.Technical progress involves two activities: process innovation and productinnovation.No sharp distinction between process innovation and product innovation because anew process requires, same product innovation and product innovation involves someelements of a new process.Process innovation is placed much emphasis because many literatures concern muchon the effects of technical change on factor productivity or new ways of satisfyingexisting wants, rather than on satisfying new wants.Producing a new technology involves two processes: invention and innovation.Invention entails the conception of a basic idea. This is the product of laboratoryscientists. Innovation is the application of that idea to something directly useful tohumankind. This is the work of engines.Innovation provides more efficient and cheaper ways to make existing goods. It canalso result in creating new products.Joseph Schumpeter states that technical progress is partly technological and partlyeconomic in nature. Inventions are the emergence of new scientific or technologicalideas that may be part of a random, exogenous process. An innovation is an economicCh4-1

Economic Growthprocess that occurs as a response to perceived profit opportunities, through an act offoresight of the capitalist entrepreneurs, who create or realize these opportunitiesthough innovations.4.2 The characteristics of technological progressTechnology is a complex set of knowledge, ideas and methods and is likely to be theresult of a variety of different activities, both intentional and accidental.Technological progress is a gradual process consisting of a sequence of smallincrements lying along a continuous path.For examples, a generator and electric lights were demonstrated in 1876. Until sixyears later, Thomas Edison opened the first commercial generator to power electriclights in the Wall Street district of New York. Only in the 1930s, 60 years later, theRural Electrification Act provided the financing to bring electric power to most ruralareas of the United States.It seems that the new idea spreads slowly initially, then it begins to be applied moreoften, gradually attaining widespread acceptance and adoption; and finally it reaches100% diffusion as the last potential users are won over.While the growth path of technology is continuous, it does not generally exhibit aconstant slope or growth rate; technology can grow rapidly, stagnate, or even decline.The path may take sudden sharp turns.Ch4-2

Economic GrowthTechnology is partially nonrival in nature. If one person uses an idea or method, thatdoes not prevent another from using it. Thus the marginal cost of using a particularform of technology is zero, meaning that competitive market forcer will tend to drivethe price of existing technology toward zero.Creativity and innovation will tend to be very low if nonrival ideas are freely used byanyone. Therefore, the creators of the new ideas get no reward from their creativeefforts.New ideas may be excludable. Patent laws seek to give the creator of an idea to usethe product or process exclusively for a specified number of years.For example, the Coca-Cola Company has kept its formula secret for over 100 years;its idea is protected by the complexity of a formula that no one has been able toreproduce exactly.Some growth economists describe technology as path-dependent. The ability tocreate new technologies depends on the level of technology already accumulated. Itmeans that previous technologies are often difficult to abandon.Often, technology is not excludable. If old knowledge is not available, then otherscannot create new knowledge. Thus, patent laws set limits on the length of time that apatent remains in effect.The formal recognition of intellectual property rights is likely to facilitate the spreadof technology. Patents and copyrights permit the owners of intellectual property tosell and sent their rights to others.As long as the price for the use of the idea exceeds the possible loss of monopolyprofit, the owner of the idea should be willing to let others use the idea.If a certain idea can be productively used elsewhere in the economy, others should bewilling to pay for the right to use the idea.4.2 The causes of technological progress(1) Research and development (R&D) spending decisions made by firmsCh4-3

Economic GrowthWith the increase of R&D spending, it is more likely for a firm to discovery anddevelop a new product.If the new product is successful, the firm’s future profits will increase. If theexpected present value of profits exceeds the expected cost of research, the firm willstart on a new R&D project.(4) Patent lawsWeaker protection of new products, smaller expected profits can be gained from newproducts. Thus, lesser incentives for firms to engage in R&D.Even in the presence of patent laws, protection is incomplete. Other firms may learnways of making another product not covered by the patent. They may learn how tomake a better product, thus eliminating the market for the original product.(3) The fertility of researchIf research is very fertile, it means R&D spending leads to many new products. Firmswill have more incentives to do R&D, and R&D and technological progress will behigher.(4) The appropriability of research resultsIf firms cannot fully capture the profits from the development of new products, theywill not engage in R&D and technological progress will be slow.Determinants of the appropriability of research results:a.If it is widely believed that the discovery of a new product will lead to asubsequent quicker puce in the discovery of other better products, there may belittle payoff to bring first. Thus, a highly fertile field of research may notgenerate high levels of R&D.b.Too little protection will lead to little R&D. Too much protection will make itdifficult for new R&D. Hence, R&D will be lowered.(5) Innovations may occur in response to pressures on the commodity markets.Ch4-4

Economic GrowthWith the rise of population and the increase of the scarcity of land, greater pressureon the demand for agricultural commodities. This may induce innovations inagriculture to takes advantage of increasing profit opportunities.(6) Innovations are most likely to occur in rapid growing sectors of the economy.Market expansion increases profitability and makes firms to reap the benefits ofscale – economies, which are characteristic of modern industrial innovations.Greater demand makes available investible funds that are required for new netinvestment. Firms in the industry will put in a better position to absorb any potentialrisks associated with new technology.(7) Continuous competition in oligopolistic markets may lead firms to invest resourcesin a systematic search for new technology.4.4 Technological progress as an externality to investmentBradford De Long and Lawrence Summers found a strong statistical correlationbetween investment in productive equipment and the countries’ rate of economicgrowth. Their statistical analysis found that equipment investment causes economicgrowth.Indeed, new ideas and technologies are in some ways linked to the specificequipment, buildings, and tools used in production.Some statistical studies suggest that the effect of equipment investment on economicgrowth is stronger in development investment on economic growth is stronger indeveloping economies in the early stages of industrialization than it is in the moredeveloped economies.New technologies often seemed to be embodied in new machines, and theintroduction of a new technology usually coincided with the introduction of newmachines or equipment.Structures also enable new ideas and methods to be implemented. New ideas cannotbe put into practice unless people are trained to apply and use them. Without aninvestment in education and training, much new technology would not be used.Ch4-5

Economic GrowthTherefore, technological progress is not an independent process, completely separatefrom investment in equipment, structures, and human capital.4.5 Learning by doingThe fact that economic growth accelerated over the past 200 years implies that wehave also learned to create new methods, tools, and ideas at a more rapid pace.Learning-by-doing process is also a potential source of economic growth becauseexperience causes per-worker output to rise.For an economy as a whole, learning could remain a constant proportion of the doing.New firms replace old ones, new production runs replace the production runs of olderproducts. Each new firm product, or industry leads to another complete phase oflearning by doing, and thus in the whole economy and over time there may be overallreduction in learning.Individual firms and industries begin new production runs when the learning bydoing form further production of old products diminishes, even though initially costsmay be higher when new products are introduced.Eventually, learning by doing reduces cost below those of the previous productionrun, and across all firms and industries, economy wide learning by doing, combinedwith continued introduction of new products and process, reduces unit costs overtime.Learning has long been suggested as a potential source of technological progress. Butthe learning-by-doing model does not address the motivations for learning.Learning just happens without a conscious effort. Technological progress isendogenous because it is related to other variables within the model, but thelearning-by-doing model is short on explaining how production generates learning.The fact that a lot of doing does not seem to be accompanied by much learningsuggests that learning is not an incidental and automatic consequence of doing.4.6 Growth as the result of costly innovative activityCh4-6

Economic GrowthPhilippe Aghion and Peter Howitt, Gene Grossman and Elhanan Helpman, and PaulRomer are those who have developed models of endogenous growth based on theassumption that R&D activities are carried out by profit – seeking entrepreneurs.R&D is regarded as a costly activity that is carried out with the intent to produce newproducts and earn temporary profits.Since the cost of R&D activities must be covered, the assumption of imperfectcompetition is introduced. The greater the potential profit earned by the monolisticproducer, the greater will be the amount of innovative activity.Endogenous technological progress is a function of the supply of labor L, futureprofit π, the amount of resources needed to create an innovation β and the interestrate with which future profit is discounted r.i.e. g f ( L, π, β, r )Where g the number of innovations per year.The cost of innovation and the present value of innovation determine the equilibriumamount of resources that competitive entrepreneurs devote to innovative activity.Ch4-7

Economic GrowthThe number of innovations per year remains constant if nothing else in the modelchanges. But that implies slower growth as the total number of accumulatedinnovations grows.The number of innovations per year must grow in line with the accumulated level oftechnology if the growth of technology is to remain constant.4.7 R&D model formulated by Romer (1990), Grossman and Helpman (1991), andAghion and Howitt (1992)Assume that the effectiveness of labor (A) represents knowledge or technology.Production function in which labor, capital, and technology are combined to produceimprovements in technology.Both the R&D and goods production functions are assumed to be generalizedCobb-Douglas production functions.The fraction of output saved and the fractions of the labor force and the capital stockused in the R&D sector are taken as exogenous and constant.There are two sectors, a goods-producing sector where output is produced and aR&D sector where additions to the stock of knowledge are made.Fraction a L of the labor force is used in the R&D sector and fraction 1 a L in thegoods-producing sector. Fraction a K of the capital stock is used in the R&D sectorand fraction 1 a K in the goods-producing sector.Two sectors can use the full stock of knowledge (A).The quantity of output produced at time t:Y(t) [ (1 a K ) K(t) ]α[ A(t) (1 a L ) L(t) ] 1 α,0 α 1(1)(1) implies constant returns to capital and labor.The production of new ideas depends on the quantities of capital and labor engagedCh4-8

Economic Growthin research and on the level of technology:& (t) G[ a k(t) , a L(t) , A(t) ]AkL(2)Under the assumption of generalized Cobb-Douglas production function forknowledge, it is not assumed to have constant returns to scale to capital and labor:& (t) B[ a K(t) ] β [ a L(t) ] γ A(t)θ , β 0, γ 0, B 0AKL(3)where B is a shift parameter in order to analyze the results of changes in otherdeterminants of the success of R&D.No restriction is placed on since there exists no strong basis for restricting howincreases in the stock of knowledge affect the production of new knowledge.& is proportional to A; the effect is stronger if θ 1, and is weaker ifIf θ 1 , Aθ 1.Depreciation is set to zero: K& (t) sY(t)(4)Treat population growth as exogenous: L& (t) nL(t) , n 0(5)4.7.1 R&D model without capital(A) The dynamics of knowledge accumulationWithout capital, set α β 0 . Equations (1) and (3):Y(t) A(t) (1 a L ) L(t)(6)& (t) B[ a L(t) ] γ A(t)θAL(7)The growth rate of A, g A (t ) :Ch4-9

Economic Growthγθ& (t)γγθ 1B[ a L L(t) ] A(t)A B a L L(t) A(t)A(t)A(t)(8)Since B and a L are constant, whether g A is rising, falling, or constant depends onγthe behavior of L Aθ 1.Equation (7) implies that g A is always positive.Equation (8) implies the growth rate of g A :γdg A (t ) & g A (t ) B a Ldt& (t ) γ 1 dL( t )θ 1γθ 2 dAγ θ L(t)A(t)L(t)(1)A(t) dtdt & (t )& (t ) γθ 1 LA Ba L L(t ) A(t )γ (θ 1) L(t )A( t ) g A (t )[ γ n (θ 1) g A (t )](9)(9) shows that g A is rising, g& A 0 , if γ n (θ 1) g A is positive. g A is falling,g& A 0 , if γ n (θ 1) g A is negative.In steady state, γ n (θ 1) g A 0 , g& A 0 :gA *γn gA1 θ(10)In case of θ 1 , (9) implies that when θ 1 , g& A 0 , g A is galling if g A**exceeds g A . g& A 0 , g A is rising if g A is less than g A .Ch4-10

Economic Growth**Ultimately, g A converges to g A . Once g A is reached, both A and Y/L growsteadily at this rate, thus the economy is on a balanced growth path.*(10) implies that g A is an increasing function of the rate of population growth n.The model does not imply that countries with greater population enjoy greaterincome growth. It only means that higher worldwide population growth raisesworldwide income growth.Higher population is beneficial to the growth of worldwide knowledge in the sensethat the larger the population is, the more people there are to make new discoveries.When θ 1 and n 0 , equation (9) implies:g& A (t ) [(θ 1) g A (t )] g A (t ) 0it adding to the stock of knowledge becomes more difficult, g& A is negative andhence growth would slow sown in the absence of population growth.(10) also implies that although the rate of population growth affects long-run growth,the fraction of the labor force engaged in R&D ( a L ) does not.When θ 1, the increase in a L has only a level effect (slope remains zero) but nota growth effect on the path of A.Ch4-11

Economic GrowthAlthough (8) implies that the increase in a L causes an immediate increase in g A ,the level of A moves gradually to a parallel path higher than its initial one. This is thelevel effect.When θ 1, equation (9) implies that g& A is increasing in gA. Such gA is positive, italso implies that gA must be positive.The economy now exhibits ever-increasing growth rather than converging to abalanced growth path. The more rapidly gA rises, the more rapidly its growth raterises.The increase in a L leads to an ever-widening gap between the new path of A and itsCh4-12

Economic Growthoriginal path.When θ 1, equation (8) and (9) become:g A (t ) Ba L γ L(t )γg& A (t ) γ n g A (t )(11)(12)(12) implies that if population growth is positive, gA is growing over time.Ch4-13

Economic Growth(12) also implies that if n 0 or γ 0, gA is constant over time. There is noadjustment toward a balanced growth path. The economy immediately exhibitssteady growth.As equation (6) (7) (11) shown, the growth rate of knowledge, output, and output perworker are all equal to BaLγ Lγ. Thus, in this case αL affects the long-run growth rateof the economy.(B) The importance of returns to scale to produced factorsThis model states that knowledge is the only produced factor.If θ 1, 1% increase in A causes only 1% increase in A. This implies the jump in Ahas no effect on its growth rate.If θ 1, 1% increase in A causes more than 1% increase in A. This implies theincrease in A raises the growth rate.If θ 1, 1% increase in A results in an increase of less than 1% in A, and so thegrowth rate of knowledge falls.4.7.2 R & D model with capitalThe model is now described by equations (1) (3) (5) including two endogenous stockvariables A and K.Subs. (1) into (4):Ch4-14

Economic Growthα1 αK& (t ) sy(t ) s [(1 a K ) K ] [A(1 a L ) L] s (1 a K )αKα(1 a L )1 αA1 α1 αL(13)Divide both sides of (13) by K(t) and define CK s(1 - a K )α(1 - aL)1-α:αα1 α 1 αK& (t )K ( AL) gK (t ) s(1 a K ) (1 a L ) K K( t ) A(t )L(t ) CK K( t ) AL since K 1 α ( AL)1 α1 α(14) 1 1 α(K ) ( AL)1 αK 1 α Kα K ( AL)1 α Whether gK is rising, falling, or holding constant depends on the behavior of AL/K.The growth rate of AL/K, gK:g& K g A n gK(15)Positive relationship between gA and gK:dgK 1 0dg AIf gA n – gK 0, gK is rising, g& K 0. If gA n – gK 0, gK is falling, g& K 0.If gA n – gK 0, gK is constant, g& K 0.Ch4-15

Economic GrowthDivide both sides of (3) by A(t):& (t )βγθ 1θ 1β βγ γA g A (t ) B(a K K) (a LL) A Ba K K a L L AA( t )βγ C A K(t ) L(t ) A(t )θ 1where C A Ba K β a L γ16)dg A (t ) dL(t ) dK(t ) C A BK(t ) β L(t ) γ A(t ) θ 1 K(t ) β A(t ) θ 1 γL(t ) γ 1 dt dtdt dA(t ) K(t ) β L(t ) γ (θ 1)A(t ) θ 2 dt K& (t )L& (t ) C A BK(t ) β L(t ) γ A(t ) θ 1 γL(t ) γK ( t ) β A ( t ) θ 1K(t)L(t) βγ (θ 1)K(t ) L(t ) A(t )βγ C A K(t ) L(t ) A(t )θ 1& (t ) A A( t ) & (t ) K& (t )L& (t )A γ (θ 1) β L(t )A( t ) K( t )θ 1 the behavior of g& A (t ) depends on β gK γn (θ 1)g ACh4-16

Economic Growthdg A (t )dt β gK γ n (θ 1) g Ag A (t )(17)(17) implies that gA is rising when β gK γ n (θ 1) 0 and vice versa. gA isconstant when β gK γ n (θ 1) 0 .The set of points where gA is constant has an intercept of γn:βgA is constant g& A 0 β gK γ n ( 1 θ ) g Awhen gA 0, β gK - γ n γnβThe set of points where gA is constant has a slope ofβ gK (1 θ) g A γ nwhere θ 1 gA (1 θ):β( 1 θ ) gA γ nβ the slope is positiveCh4-17

Economic GrowthPositive relationship between g& A and gK:dg& A β 0gKEquation (3) shows that the degree of returns to scale to K and A in knowledgeproduction is β θ.When β θ 1, the slope of (1 – θ)/ β is greater than 1. thus, the locus of pointswhere g& A 0 is stepper than the locus where g& K 0 .Regardless of where gA and gK begin, they converge to point E where g& A and g& Kare zero:From (15): set g& K 0 g A *

Economic Growth Chapter 4 Technological Progress and Economic Growth 4.1 Introduction Technical progress is defined as new, and better ways of doing things, and new techniques for using scarce resources more productively. An improved technology yields greater output from the same quantity of resources.

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