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EC820M The Economics of Inequality

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Demand given CES Utility functions. Relative Prices (before Trade) ... With a little bit of work we can show that this equals. Introduce Trade ... – PowerPoint PPT presentation

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Title: EC820M The Economics of Inequality


1
EC820M The Economics of Inequality
  • Professor Donal ONeill
  • Economics Dept. NUIM
  • Room 27 Rhetoric House Maynooth
  • donal.oneill_at_nuim.ie

2
Ireland in international Context
3
Longer term trends
4
Earnings Inequality for Full-Time, Year-Round
Workers, 1963-2003, Gini Coefficient in United
States
5
Juhn, C, K. Murphy B. Pierce (1993) Wage
Inequality and the Rise in Returns to Skill,
Journal of Political Economy, June, 410-442.
6
Observed and Unobserved Inequality
7
Explaining the Trends
8
Evidence suggest that Relative Supply of skilled
Workers has increased in Ireland
Barrett, A, John FitzGerald, Brian Nolan (2002)
Earnings inequality, returns to education and
immigration into Ireland, Labour Economics, 9
(2002) 665680.
9
How much of an increase in demand is needed to
offset this?
  • Katz L. and Murphy. K (1992) Change sin Relative
    Wages, 1963-1987 supply and Demand Factors,
    Quarterly Journal of Economics, Vol. 107, no. 1,
    pp. 35-78
  • Autor, D, L.Katz and A. Krueger (1998) Computing
    Inequality how computers changed the Labor
    Market, Quarterly Journal of Economics, 113, pp.
    1169-1213.

10
Taken from McGuinness, S, F. McGinnity and
P.OConnell (2008) Changing Returns to Education
During a Boom? The Case of Ireland, ESRI Working
Paper No. 227.
11
  • Two types of workers
  • Skilled (H) and Unskilled (L)
  • Supply is inelastic.
  • Imperfect substitutes If not then relative wages
    will not depend on relative supplies.
  • Elasticity of Complementarity as

If only two factors
12
CES Example
13
Wage Setting
  • Competitive Labour Markets.
  • Must be the case that skilled and unskilled
    workers are Q-complements.
  • As fraction of skilled workers increase the
    wages of unskilled workers increases.
  • Exercise Prove this.

14
Wage Setting (Continued)
Demand Shifts
Supply Shifts
15
Wage Setting (Continued)
16
Bringing CES Model to the Data
  • Katz and Murphy (QJE)
  • Unknowns s and

17
Wage Setting (Continued)
18
Magnitude of Demand Shifts
19
Now difference
20
  • Thus with an estimate of the wage premium,
    relative supplies and s we can back out the
    implied change in relative demand.
  • Autor, Katz and Krueger (1998)
  • Growing relative demand for skilled workers in
    every deacde except 1940s
  • Clear evidence that net demand changes were
    larger over 1970-2000.
  • Whether demand accelerated in 1th 1970s or
    1980s relative to prior decades depends on
    sensitivity of assumed elasticity.
  • Demand deceleration in the 1990s.

21
Possible reasons behind changes in Demand
  • 1. Skilled Biased Technological Change
  • 2. Growth in International Trade

22
Skilled Biased Technological Change
  • Just interpret the as measures of
    relative efficiency of both type of labour.
  • Clear from our analysis that increase in
    raises the skill premium.

23
International Trade
  • Instead of thinking of the above set up as a 1
    good model with two factors of production think
    of it as a two good model.
  • Consumer utility is defined as
  • Production is linear.

24
Equilibrium
  • Equilibrium requires

Supply
Demand given CES Utility functions
25
Relative Prices (before Trade)
  • The domestic relative prices before trade of the
    skill intensive good are given by

26
Wage Premium (Before Trade)
  • The skill premium is the ratio of the marginal
    value product of labour of the two types of
    workers.
  • With a little bit of work we can show that this
    equals

27
Introduce Trade
  • US starts trading with set of LDCs that have
    access to the same technology as given by AH and
    AL but have relatively more unskilled workers

28
Trade (Continued)
  • After trade product markets are joined so there
    will be a unique world price.
  • Since technologies (and tastes) are the same the
    world supply of the two goods is given by

29
Trade (continued)
  • And relative prices are given by
  • Why have relative prices risen ?

30
Trade (continued)
  • What has happened to the skill premium ?

31
How important is Trade?Freeman R (1995) Are
your wages set in Beijing? Journal of Economic
Perspectives, 15-32.
  • Factor content analysis.
  • Try and figure out the labour content of imports
    and use this to back out implied increase in
    skill premium.
  • Find changes did not displace all that many
    low-skilled workers from manufacturing (vast
    majority of unskilled workers in non-traded
    sector).

32
  • Price Studies
  • Key insight form our analysis that the effect of
    international trade on wages works through output
    prices.
  • Increases in the price of the skilled good lead
    to increase wages for skilled workers.
  • Unfortunately studies suggest that the relative
    price of skill intensive goods did not increase
    significantly over this period.

33
  • Factor Intensities
  • Our trade model was a little specialised in that
    there was no opportunity to substitute between
    factors within a good.
  • More generally (MWG page 15) if price of a good
    rises (as it will after trade) the equilibrium
    price of the factor used most intensively rises
    and both industries will move to a less intensive
    use of factor 1.
  • The increase in the level of outputs across
    industries will maintain employment.

34
STOLPER-SAMUELSON LERNER DIAGRAM
Lets look at point A on the blue X 1 isoquant
for good X
Suppose px 1, then the value of production
along the X 1 isoquant equals 1?1 1
Lets look at another isoquant say its the
isoquant Y 0.5
This is the unit value isoquant, provided py 2
(2?0.5 1)
Y 0.5
35
Lerner diagram
One unit of cost for the producer is given by
wLrK 1
In the figure this is given by a straight line
with slope w/r and intercept 1/r for K and 1/w
for L.
At any other point on the X 1 isoquant the cost
of production is higher
Similarly, for point C on the Y 0.5 isoquant
36
Lerner diagram
37
Stolper - Samuelson
Take a situation as depicted in the figure and
note that good X uses relatively more capital
than good Y (slope of line through origin)
As a result the isocost line touching the unit
value isoquants rotates counter-clockwise
To touch at B and C
38
Stolper - Samuelson
Also note that the rise in r and the fall in w
causes a substitution away from capital in the
production of both goods X and Y
No evidence that this happened
39
Stolper - Samuelson
This is The Stolper Samuelson Theorem
It generalizes to arbitrary settings in terms of
friends and enemies if the price of a final
good rises the reward to some input rises and to
some other input falls
40
  • What happened in LDCs after trade ?

41
Back to SBTC
  • Does evidence support SBTC?
  • Autor, Katz and Krueger (1998) look at demand
    changes within and between industries and finds
    that most of the change was within industries.
  • In addition the upskilling was greatest in
    industries that experienced the greatest rise in
    computer use.
  • However see Card and DiNardo (2002) SBTC and
    rising Wage Inequality Some Problems and
    Puzzles. Journal of Labor Economics, Vol. 20,
    no. 4, 733-783.

42
Institutional Factors
  • Weaker Unions
  • Declining Minimum Wage

43
Minimum Wage in United States
44
  • Outsourcing
  • Feenstra, R and G. Hanson (1999) The Impact of
    Outsourcing and High Technology Capital on Wages
    Estimates for the United States 1979-1990,
    Quarterly Journal of Economics 1143, pp. 907-40.
  • Innovation and Trade
  • Acemoglu, D (1998) Why do New Technologies
    Complement Skills? Directed Technical Change and
    Wahe Inequality, Quarterly Journal of Economics
    1134, pp. 1055-89.
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