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The Labour Market
Lecture 14 – academic year 2013/14Introduction to Economics
Fabio Landini
Where we are…
• Lectures 1-7: Microeconomics
• Lecture 8-9: GDP, Inflation and unemployment
• Lecture 11: Goods market
• Lecture 13: Financial market
Questions of the day
• How does the labour market function?
• Why are some workers unemployed?
• What does the unemployment rate depend on?
• Quick review of the model of demand and supply (Part I - Microeconomics)
• Construction of the model WS-PS
• Determination of the equilibrium
• Analysis of the determinants of unemployment
What do we do today
Premise
Labour market -> Analysis of medium period
In this class we examine the functioning of the labour market and the determinants of unemployment
In the next class we will come back to the passage from short period to medium period using part of the results obtained today
Demand and supply of labour
It is the simplest model to study the labour market
Firms “demand” labour -> the labour demand (DL) point out how many workers the firms want to hire at the market wage (W)
It follows that the higher the wage the lower the number of workers that the firms are willing to hire
DL is a decreasing function of the wage
Workers “supply” labour -> the supply of labour (SL) tells us how many workers are willing to work at the market wage (W)
It follows that the higher the wage the larger the number of workers that are willing to work
SL is an increasing function of wage
Demand and supply of labour
In equilibrium -> DL = SL -> Point E in the graph NE is the number of workers that are employed WE is the equilibrium wage
W
N° workers
SL
DL
E
NE
WE
Demand and supply of labour
In equilibrium:•Along DL -> firms hire the number of workers that they wish•Along SL -> workers that wish to work are hired -> there is no unemployment
N° workers
SL
DL
E
NE
W
In real economies, however, there is unemployment
To explain the existence of unempl. -> WS-PS model
Demand and supply of labour
Construction of the WS-PS model
In the WS-PS model :•Firms fix the prices of the goods that are produced•Firms and workers negotiate on wages
Let’s examine them separately: •Determination of wages•Determination of prices
The determination of wages
Wage negotiation is explained by different theories
Summary of the main theories -> “wage setting” equation (WS)
W = PE F(u,z) - +
where W is the wage, PE is the expected prices, u is unemployment, and z is institutional variables of the labour market
Construction of the WS-PS model
Let’s examine the different components of this equation W = PE F(u,z)
a) W depends on P•Workers are not interested in the amount of money they receive but in the quantity of goods that they can buy with their wage ->•Workers are interested in the wage “in proportion” to the level of prices
Construction of the WS-PS model
b) In the equation we have PE rather than P
• Wages are negotiated ahead of time and remain fixed for a certain period of time so that the level of prices is not known with certainty ->
• Wages depends on “expected” prices -> PE (Important to distinguish between short and medium period)
c)F(u,z) -> W depends negatively on u• u -> Greater competition among workers ->
Workers’ bargaining power -> W
Construction of the WS-PS model
d)F(u,z) -> W depends also on institutional variables z (positive for convention)
The latter include:• The level of unemployment subsidies Subsidies -> Compensations requested to work• Minimum wage Minimum W -> Workers’ wage requests
Construction of the WS-PS model
Let’s go back to the WS equation -> W = PE F(u,z)
For the moment, let’s assume that price “expectations” are correct -> PE = P
In this case: WS -> W = P F(u,z)By rearranging we obtain
W/P represent the wage relative to the level of prices, i.e. the “real wage”
)z,u(FPW
Construction of the WS-PS model
Let’s draw the equation in a (W/P, u) diagram
F is decreasing in u -> the curve WS is decreasing
WS
u
W/P
)z,u(FPW
Construction of the WS-PS model
The determination of prices
Firms’ behaviour -> production
Two main simplifications:• Only one input -> labour (N) • The total product (Y) is equal to the amount of labour
that is employed -> Y = N
This implies that the cost to produce one unit of Y is equal to the cost to employ one worker, which is equal to the wage W
Construction of the WS-PS model
Let’s assume that firms fixe the price on the basis of the unitary cost of input following the rule:
Price= Unitary cost X (1+)
where 0<is the so-called mark-up.
Important: is a % of “refill” on costs
For instance, if 10% the price is equal to the costs increased by 10%
Construction of the WS-PS model
In our case the unitary cost is W so that: P = W(1+)
P = W(1+) -> “Price setting” equation
Important: the dimension of mark up depends on the degree of competition among firms
In particular:• competition among firms -> •implies and P = W
Construction of the WS-PS model
Let’s go back to equation PS -> P = W(1+)
After some algebraic passages we obtain
->
Construction of the WS-PS model
We draw the PS in a (W/P, u) diagram
In the PS the real wage W/P does not depend on u -> the curve PS is an horizontal line
W/P
u
PS
Construction of the WS-PS model
We defined the two curves that describe the determination of wages (WS) and prices (PS)
Let’s now consider the two curves together in the same graph
The equilibrium in the labour market
We draw the two curves In E we are both on the WS and on the PS -> E is the equilibrium
In E there is unemployment -> u = un
un is the “natural” rate of unemployment
WS
u
W/P
PS
un
E
In the WS-PS model the system presents some positive degree of unemployment in equilibrium
This happens in because of two components of the model (that are absent in the standard supply and demand model):•Competition among firms is not perfect in the goods market•Presence of a wage negotiation mechanism
The determinants of unemployment
The equilibrium level of unemployment un depends on the same factors
In particular un is influenced by:•The degree of competition among firms•The institutional characteristics of the labour market
To understand these relationships let’s look at the effect on un of :• competition among firms•Changes in the labour market legislation ( unemployment subsidies)
The determinants of unemployment
Let’s start from E and in competition
competition -> mark up -> -> PS shifts downward
Effects: E -> E’ and un
WS
u
W/P
PS
un
E
PS’E’
un’
Let’s start from E and subsidies
subsidies -> z -> F(u,z) -> WS shifts upward
Effects: E -> E’ and un
WS
u
W/P
PS
un
E
WS’
un’
E’
The above results show that:• Competition among firms -> un
•Changes in the labour market legislation affects un (e.g. Unemployment subsidies -> un)
The rate of unemployment un depends on some structural factors (how markets function) -> for this reason is called “natural rate of unemployment”
The determinants of unemployment
We studied the determination of equilibrium in the labour market.
We described a model that explain the existence of equilibrium unemployment
We studied the effect of the lowering of competition and the provision of subsidies on unemployment.
Conclusion
We join together goods, financial and labour markets in the AS-AD model…
Next class