chap 5 Flashcards
exogenous variables
The variables are outside the model
endogenous variable
the variables are determine by the model itself
government budget constraint
G = T
Income- expenditure identity
Y = C + G
Y = C + I + G +NX
C = wNs + (profit symbol) - T (NX=0, I = 0 )***
C = wNs + y - wNd - G ( profit = Y - wNd , t = g)
C = Y* - G
production possibility frontier (PPF)
is the technological relationship between C and I
Equilibrium effects of an increase in government spending
An increase in G spending shifts the PPF down by the amount of the increase in G
Firm max profit given technology
Profit = z F (k,Nd) - wNd
Optimal :
A CE is Pareto optimal if there is no way to re-arrange production or re-allocate goods (c,l) s.t someone is made better off without making someone worse off
Fundamentals welfare terms
- first welfare term says that under certain circumstance a CE is Pareto optimal
- second welfare theorem sas that under certain circumstance PO EQ is a CE
CE = competitive Equilibrium
SE and IE
temporary shock ——-> SE dominates
permanent shock ——-> IE dominates
Back Pareto Optimality (what break P.O EQ)
- (eq =/ ce ) when there is a market failure (unemployment) or if there is an externaility
- (externality) a CE is not P.O if taxes distort the actions decision makers (proportional taxes,not lump sum)
- A CE is not P.O if firms are not price takers (violating P.O condition)
Optimization problem of Representative consumer (formula)
MRS l,c = w (1- t)
Optimization of Representative firm
MPn = w
Endogenous Variables
w —> Real wage
L —->consumption
N —->employment
Y —–> output
Exogenous variables
Z —-> production
T —–> taxes (lump sum taxes)
G ——> government spending ***
K —-> capital ***