Topic 3 Flashcards
What are the factors of production?
Capital (K)
Labour (N)
Others (raw materials, land, energy etc)
What does the productivity of factors of production depend on?
Technology and management
What is the equation of the production function?
π = π΄πΉ(πΎ, π)
What is parameter A in the productivity function?
Parameter π΄ represents the total factor productivity β a measure of the effectiveness with which capital and labour are used
What is the equation of the Cobb-Douglas production function?
π = π΄πΎ^πΌ x π^1βπΌ
Where πΌ β 0,1 (i.e., 0 < πΌ < 1)
What is the Cobb-Douglas production function characterised by?
This production function is characterised by Constant Returns to Scale (CRS)
What happens when you multiply the Cobb-Douglas production by lamda?
Total output is multiplied by lamda
What are the main two properties of the production function?
Slopes upward: more of any input produces more output
Slope becomes flatter as input rises: diminishing marginal product as input increases
What is on the axis of the production function?
Y-axis = Output, Y
X-axis= Capital, K
Consider π = π΄πΉ(πΎ, π), how do you calculate the marginal product of capital (MPK)? (2)
πππΎ =Ξπ/ΞK
πππΎ = π΄ ππΉ / πK
What is the MPK equal to?
The slope of the production function
How do you represent the MPK as a function?
MPK(.) where the dot is in the middle and it represents an independent variable
What are the assumptions of MPK? (2)
πππΎ is always positive
πππΎ declines as πΎ increases (diminishing marginal productivity of capital)- upwards concave
Consider π = π΄πΉ(πΎ, π), what is the marginal product of labour (MPL)? (2)
πππ =Ξπ / ΞN
πππ = π΄ ππΉ / πN
What is the MPN equal to?
πππ is equal to the slope of the production function graph
What are the assumptions of MPN? (2)
πππ is always positive
πππ declines as π increases (diminishing marginal productivity of labour)
How do you calculate MPK using the Cobb-Douglas function?
Consider the production function π = π΄πΎ^πΌ x π^(1βa).
πππΎ =ππ (β) / ππΎ =
πΌπ΄πΎ^ (πΌβ1) x π(^1βπΌ)
= πΌπ΄ (π / πΎ)^(1βπΌ)
MPK = πΌπ΄ (π / πΎ)^(1βπΌ), what happens as K rises?
What happens when A rises?
What type of function is MPK in terms of N?
As K rises, MPK falls.
As A increases, MPK increases.
MPK is an increasing function of N.
How do you calculate MPN using the Cobb-Douglas function?
Consider the production function π = π΄πΎ^πΌ x π^(1βa).
ππN =ππ (β) / πN =
(1 - πΌ)A(K / N)^πΌ
MPN= (1 - πΌ)A(K / N)^πΌ, what happens as N rises?
What happens as K rises?
What happens as A rises?
As N rises, MPN falls.
As K rises and π²/π΅ is higher, MPN also rises.
As A rises, MPN increases.
What is a supply shock?
A change in an economyβs production function
What do supply shocks affect?
Supply shocks affect the amount of output that can be produced for given quantities of capital and labour
What is a positive supply shock?
The economy produces more output (Y) for given quantities of capital (K) and labour (N).
What is a negative supply shock?
The economy produces less output (Y) for given quantities of capital (K) and labour (N)
What are some examples of supply shocks?
Look at slides, or textbook.
How do we model supply shocks?
Through changes in the value of the productivity parameter A
What will a positive and negative supply shock do to parameter A?
A positive supply shock will always increase the value of productive parameter A
A negative supply shock will mean a decrease in the value of A
What do we assume that a positive supply shock will do to both MPK and MPN?
A positive supply shock will increase the values of both MPK and MPN
What do we assume that a negative supply shock will do to both MPK and MPN?
A negative supply shock will decrease the values of both MPK and MPN
How does the slope of the production function change from a positive supply shock?
The slope of the production function increases at each level of output
How does the slope of the production function change for a negative supply shock?
The slope of the production function decreases at each level of input
What are the assumptions of the labour markets on a micro level? (4)
Hold capital stock fixed (short-run & medium-run analysis)*
Workers and firms are alike
Labor market is competitive (Classical approach)
Firms maximize profits
How do we sometimes represent the production function in the SR, when capital stock is fixed?
The K has a bar on top
What is the short-run time horizon?
The time period during which aggregate output and employment can change but before prices and wages respond to the changes in economy-wide output and employment levels
What does not adjust to macroeconomic conditions and policies in the short-run?
The economyβs price level (π) and (nominal or real) wage rate
What is meant by real wage rigidity?
The idea that the real wage rate moves βtoo littleβ in response to conditions in the aggregate labour market
What is price stickiness?
The tendency of prices to respond only slowly to
changes in the economy
What is the medium-run time horizon?
The time period during which prices and wages can respond to changes in aggregate output and employment
What do we continue to assume in the medium-run?
We continue to assume (as for the short-run) that the economyβs capital stock (πΎ) and labour force
(ππΉ) are fixed
What do we not investigate in the MR?
We do not investigate changes in the population growth rate or allow for migration- belongs in the LR.
In the MR, what can we investigate?
The consequences of changes in technology- exogenous
To investigate the causes of productivity growth (endogenous) and why it might change, what time horizon do we need analyse?
The LR
In LR analysis, what do we allow for the analysis of?
We allow for growth in the population, in the physical capital stock (πΎ), human capital stock (skills of workers), and improvements in technology
What is a firmβs profit function?
Ξ = π Γ π (β) β π Γ N
p= price
W= wage
What is the optimality condition?
πΞ / ππ = π Γ [ππ (β) / ππ] β π = 0
At a given π level, the quantity of labour demanded is given by what?
p x MPN(.) = π Γ ππ / ππ = W
π Γ ππ (β) / ππ = p x MPN(.) , what does this equation equal?
The marginal revenue product of labour (MRPN)
According to the optimality condition, what is the MPN(β) equal to?
Real wage rate
Suppose that at a given π level, ππ ππ (β) > π or πππ (β) > π€, what is the optimal course of action?
To increase the quantity of labour demanded =
Suppose that at a given π level, ππ ππ (β) < π or πππ (β) < w, what is the optimal course of action?
To reduce the quantity of labour demanded
What does the labour demand curve show the relationship of?
Shows the relationship between the real wage rate and quantity of labour demanded
What is the labour demand curve the same as, and why?
It is the same as the πππ curve, since π€ = πππ at equilibrium
Why is the labour demand curve downward sloping?
Firms want to hire less labor, the higher the real wage
In real terms, when should a firm increase or decrease employment?
Increase when πππ > w.
Decrease when πππ < w