APEC 460/660            Spring 2006                   Kilkenny

Week  8 HOMEWORK “#4”

 

Re: Appendix 2.1 and chapter 3 of T&S on “classic theories” of economic development:

i.                     Stages of Growth’ e.g., by Rostow

ii.                  Harrod-Domar

iii.                  Structural change (e.g., Lewis, Chenery)

iv.                 neo-colonialist dependence  (e.g., Dos Santos)

v.                   false-paradigm

vi.                 dualistic development

vii.                neoclassical counterrevolution (e.g. Bhagwati)

a.      free-market analysis

b.      public choice theory

c.       market-friendly

viii.             Solow neoclassical growth

 

Rostow  ‘stages of growth’ model (1960)

The question: “What pattern of transition from un-developed to developed do countries have in common over time?”

            Katherien has an older edition of T&S that lists the stages:

1.      traditional society

2.      preconditions stage

3.      take-off stage

4.      drive to maturity

5.      high mass consumption

Graphically:

 

 

Who: not explicit in T&S textbook; implicitly it is everyone in a country; no-one in particular.

Objectives: Implicit: Maximize output per person.

Instruments:  Implicit: choose a rate of saving. 

Constraints: none are explicit in our textbook. Implicitly, as we know, production can either be consumed or saved (and thus invested).  This is the key constraint.

Time horizon: very long run, because capital and technology are changing over time.

Insights:  The constraint carries the main lesson of this ‘model.’ It is a fact that saving and investing are decisions that must be made consciously.  It entails a trade-off: save today means enjoy less consumption today.  But societies who consume everything now cannot grow later.   Rostow’s “stages” analysis of nations that have developed suggests that if undeveloped societies would also make the less easy choices to save and invest, that they too will grow.   It is a story that gives hope.  Otherwise….

Microfoundations: weak (as far as we can tell from the textbook).

Practical implications:  the insight that to be able to grow, investment is needed, which depends on saving.

 

Harrod-Domar Growth Model (1950s)

The question: “What is the relationship between the rate of saving (s = S/Y)  and growth  (∆Y) ?”

Who: not explicit in T&S textbook, implicitly it is everyone in a country or no-one in particular.

Objectives: Implicit: maximize the rate of growth:  ∆Y/Y.

Instruments:  Implicit: choose a rate of saving. 

Constraints: notation: Y is GDP, S is savings, K is capital stock, I is investment, s = S/Y; k = K/Y:

1.       rate of growth in GDP depends on the relative rate of savings : ∆Y/Y = s/k

a.       (by definition) S = sY  (the amount saved is some fraction of total output)

b.       (by definition) I = ∆K  (investment is the change in capital stock)

c.       (by definition) k = K/Y (k denotes the capital:output ratio)

                        and  K/∆Y = k.  Rearrange this identity to get ∆K = k∆Y.

d.       (by definitions b. and  c.)  I = ∆K=k∆Y

e.       by definition  S = I  (investment is constrained by available savings)

f.        by a., e., and c:   S = sY = I = k∆Y  à  sY = k∆Y  rearrange à ∆Y/Y = s/k  (the constraint.)

Time horizon: long run: the level of fixed capital is changing.

Insights:  As in Rostow’s work, the constraint on growth posed by a country’s ability to save/invest is the lesson of this model.  Implicitly, if a country does not produce enough to be able to save, as is the case in most LDCs, it has to find some other way to finance investment.  This model implies that the only other ways are to borrow or get aid from other countries. 

Microfoundations: weak.  The model provides no clue as to why anyone in an LDC could or would want to save for the future, or how to motivate householders (capitalists or workers) to consume less now and save more for later.  Nor does it provide insight into why other countries might be willing to donate or lend to a developing country.

T&S assessment: T&S say that this model motivated developed countries to provide development aid to underdeveloped countries.  That was a nice consequence, yes?   T&S also say that while the model highlights one necessary condition (S=I=∆K), it did not identify sufficient conditions for growth.  That is, just having money or making an investment is not enough, is not sufficient to sustain growth.  There are so many more things that have to be taken care of for investments to lead to growth, such as:

“structural, institutional, and attitudinal conditions (e.g. well-integrated commodity and money markets, highly developed transport facilities, a well-trained and educated workforce, the motivation to succeed, an efficient government bureaucracy)… T&S page 108.

 

Lewis’ Two-Sector model of structural change (1954)

The question: How can an LDC economy with surplus labor in peasant agriculture finance its own investment, structural transformation, and growth?

Who: (i) Industrial firms, (ii) subsistence farmers

Objectives: (i) profit, (ii) utility or welfare (implicit)

Instruments:  (i) how many employees (ii) where to work: rural subsistence farming or urban industry

Constraints: constant urban real wage rates; unchanging technology, formalized by exogenous Marginal physical Products of Labor in Agriculture and Modern industry that are decreasing: MPL,A; MPL,M,; the rate of growth in capital stock: K(t) ; implicitly, all market prices are constant (increased supplies of modern goods has no affect on the price paid for modern goods); and decreased subsistence farming has no effect on the marginal value product of labor in farming.

Time horizon: long run: capital is growing and labor migrates; but technology does not change.

Insights:  If industrialists reinvest all of the return to production that is not paid to workers, this will expand the capital stock, labor productivity in industry will rise, the firms can afford to hire more workers, there will be structural change as the workforce will shift out of farming and into industry, more profits will be made, and so on.   A very useful lesson is that growth can be financed by retained earnings.

Microfoundations: Why would owners of firms re-invest all their profits?  There must not be any land rent to pay, no interest on credit, etc…  Why aren’t local prices sensitive to local supply or demand?  Why, if farmers get their average product, doesn’t the average product rise as the total number of farmers (across which the maximum yields are being shared) falls?

T&S assessment: T&S say that this model ‘roughly reflects the historical experience of economic growth in the West’ (page 111) but they criticize the assumptions that all profits would be re-invested, growth would be factor-neutral, surplus labor in the subsistence ag sector, unchanging urban wage rates, and decreasing returns with respect to the level of employment in the modern sector.

 

neo-colonialist dependence 

The question: why are some nations so rich and others so poor?

who

small elite ruling class

foreign special interest power groups (“center”)

everyone else in the

periphery.”

objective

utility

profit

survival

instrument

secure their role/payoff in the int’l division of labor determined by the center

maintain and exploit the monopoly/monopsony power they stole

Revolt,

State-own all industry  

constraints

the initial distribution of wealth

Time horizon: long run.

Insights: underdevelopment is a consequence (not a stage in a growth process) of an international division of labor and exploitation by foreign countries that is facilitated by local lackies.

Practical Implications: This paradigm is considered Marxist, and has in fact inspired  revolutions.  Thus, it has had very big effects on our world.  But as a model for how to develop a country, it is useless, because it is not really Marxist enough.  It ignores Marx’s insight/caution that (basically) power corrupts.  ‘Burning the rich’ will not solve a country’s problems, it just changes who is rich and who is corruptible.   We still have to look elsewhere to answer the basic questions: how to disperse power, undermine anyone’s ability to exploit market power, and how to diminish the payoffs to corruption, without thwarting the profit incentive/payoffs that inspire innovation, investment, and growth.

 

false-paradigm

The question:

who

Developed country “experts”

Local elites

 Local leaders and intellectuals

objective

Not explicit

profit

 Not explicit; implicit objective is to lead their country to grow

instrument

Advise LDC governments and teach LDC leaders and intellectuals

maintain and exploit the monopoly/monopsony power

measure things, attempt to raise savings & investment,  privatize; deregulate, pursue other irrelevant policies

constraints

Ethnocentricity & ignorance

Traditional institutional social structures;

Highly unequal property ownership, disproportionate power of local elites, unequal access to credit

What they’ve been taught by the developed country experts

Insights:  One size does not fit all.

Microfoundations: weak.

Practical Implications: Think for yourself.  If you study from someone else, learn HOW to think, not WHAT to think.

 

dualistic development

T&S explanation parallels the neocolonialist model (above).  The main insight is that the world economy is like a zero-sum game; the poor are made poor by the rich, who basically get rich by stealing.  Again, this is not a model that provides any ideas how to become rich, except—implicitly--  by doing what the rich are supposed to have done—by stealing.

 

T&S assessment of the above three models: “offer little formal or informal explanation of how countries initiate and sustain development. Second and perhaps more important, the actual economic experience of LDCs that have pursued revolutionary campaigns of industrial nationalization and state-run production has been mostly negative.” (page 119)

 

neoclassical counterrevolution (e.g. Bhagwati)

The question: What level of public (state or government) activity best promotes development?

who

LDC governments

objective

Economic development

instruments

What they are doing (‘mistakes’)

 What they should do (‘advice’)

free-market analysis

 

Control prices, run industry, prohibit trade

Laissez-faire; trust markets to allocate resources; promote competition

public choice theory

 

Government officials are corruptible

Reduce government as much as possible

market-friendly

Ignoring the sources of market failures with respect to information,

Coordination, environmental externalities, and returns to scale;

Recognize the causes of market failures; invest in physical and social infrastructure, health care, educational facilities, promote competition and private enterprise, capture scale economies…

constraints

 

 

Insights:  Like Marx, this school of thought recognizes that power corrupts.  So it suggests that countries reduce the number of persons in authority and disperse power by promoting competition and widespread enfranchisement and ownership. 

Microfoundations: not explicit in T&S (but they are very well-developed, as we can see later)

T&S assessment: this school of thought is the foundation of modern theories of development

Practical Implications:  To develop your country, if you aren’t already corrupted,  figure out how to ‘ride the horse in the direction it is running.’  That means, find ways to placate/satisfy the power elite and inspire them so that the things they do to enrich themselves are the things that employ people, provide valued goods and services (especially education and R&D), protect the environment, etc.

 

Solow neoclassical growth model (1956; Appendix 3.1)

The question? “What is the relationship between investment and growth?  At what rate of saving (investment) can this economy be sustainable (achieve a steady state)?”

Who: In a country, this models (implicitly) focuses on people as:

1.       producers

2.       capital owners

3.       labor owners (‘workers”)

Objectives? Not explicit: Maximize output? 

Instruments:  choose a rate of saving.  Note: maybe the single most relevant ‘who’ is capital owners—who save/invest?  No, the model is described in terms of “savings per worker”.   

Constraints: (exogenous variables)

1.       production technology: output at time t Y(t) = K(t)α[A(t)L(t)]1-α

is made from capital K(t) and labor L(t)

2.       A(t) ~ labor productivity ~ grows over time at constant rate, γ (and let γ=1/L)

3.       labor force grows at the rate n

4.       capital depreciates at rate δ

5.       savings per worker, at rate s, is positively related with output per worker (y=f(k)),

            so s(t)/L(t) = s·f(k); but the savings rate increases at a decreasing rate as the economy grows  (shown graphically in Figure A3.1)

6.      in equilibrium   k = 0 = s·f(k) – (δ+n·)k

Time horizon: very long run, because endowments of labor, levels of capital, and technology are all changing

What does the model tell us?  The equilibrium condition says that if f(k) >(δ+n·)k, then more capital will accumulate and the economy will grow.  Conversely, if f(k) <(δ+n·)k  then there will be less saving and investment, and the economy will shrink.  The modelers claim that this story identifies a k* which  is just right.”

 It does not tell us why workers or capital owners (or whoever) might decide to save more (or save less).  (I wouldn’t want to save more (& invest more, which means build up productive capacity) unless  I expected a higher return on my investment, which would mean, I expect everyone else to CONSUME MORE and save less.  But to achieve more investment in our economy everyone has to save more.  But how can everyone save more if everyone is saving less?  Or, who would save more, on net, while others save less?  And why might some do one thing, others do another?  How do we encourage more net saving (or discourage excessive saving?)  This model has weak microfoundations.  Nor does it address the fact that a foreign capital inflow (capital account surplus) only arises when a country is sustaining a current account deficit (imports exceeding exports). That is a logical contradiction with claim that countries must trade to be able to enjoy increasing returns to scale in domestic production and be net exporters.

Practical implications: to get a backwards economy out of the subsistence farming stage, this model says we have to find k*.  T&S report that is also implies that open economies (who can exploit scale economies) are more likely to attract more foreign savings and can grow faster.  This model does not imply that the government should, for example, collect taxes and invest in education, roads, infrastructure, research, or anything like that.  Indeed, if there are taxes, then there is less saving.  It has nothing to say about minimum wage laws.  It has nothing to say about why inequality seems to be related to growth. It has nothing to say about anti-trust regulation.  It says nothing about the role of a country’s legal system….