Stosowane modele równowagi ogólnej (CGE)
ogólnej (CGE)
Wykład 4
Struktura modelu „mini-mini”...
... objaśniona na podstawie symulacji z ćwiczeń 3:
1. Wzrost eksportu produktów „AgricMining”
2. Wzrost rentowności kapitału w sektorze 2. Wzrost rentowności kapitału w sektorze
„Manufacture”
x(„AgricMining”,”dom”,”Exports”) x(c,s,u)
x0(c,”dom”) x0(c,”imp”)
x1tot(i) x1lab(i), x1cap(i)
Variable
(all,c,COM)(all,s,SRC)(all,u,USER)
x(c,s,u) # Demand by user u for good c, source s #;
(all,c,COM)(all,s,SRC) x0(c,s) # Total demand for good c, source s #;
! Total demands for commodities ! Equation E_x0
(all,c,COM)(all,s,SRC) SALES(c,s)*x0(c,s)= sum{u,USER,USE(c,s,u)*x(c,s,u)};
x(„AgricMining”,”dom”,”Exports”) x(c,s,u)
x0(c,”dom”) x0(c,”imp”)
x1tot(i) x1lab(i), x1cap(i)
Variable
(all,c,COM)(all,s,SRC) x0(c,s) # Total demand for good c, source s #;
(all,c,COM)(all,s,SRC) x0(c,s) # Total demand for good c, source s #;
(all,i,IND) x1tot(i) # Industry output #;
! Market clearing condition ! Subset COM is subset of IND;
Equation E_x1tot (all,c,COM) x1tot(c) = x0(c,"dom");
x(„AgricMining”,”dom”,”Exports”) x(c,s,u)
x0(c,”dom”) x0(c,”imp”)
x1tot(i) x1lab(i), x1cap(i)
Variable
(all,c,COM)(all,s,SRC)(all,u,USER) (all,c,COM)(all,s,SRC)(all,u,USER)
x(c,s,u) # Demand by user u for good c, source s #;
(all,i,IND) x1tot(i) # Industry output #;
! Demands for material (intermediate) inputs to production ! Equation E_x1
(all,c,COM)(all,s,SRC)(all,i,IND) x(c,s,i) = x1tot(i);
x(„AgricMining”,”dom”,”Exports”) x(c,s,u)
x0(c,”dom”) x0(c,”imp”)
x1tot(i) x1lab(i), x1cap(i)
Variable
(all,i,IND) x1lab(i) # Employment by industry #;
(all,i,IND) x1lab(i) # Employment by industry #;
(all,i,IND) x1cap(i) # Current capital stock #;
(all,i,IND) x1tot(i) # Industry output #;
! Demands for capital and labour ! Equation E_x1lab
(all,i,IND) x1lab(i) = x1tot(i);
Equation E_x1cap
(all,i,IND) x1cap(i) = x1tot(i);
p1cap(„Manufacture”)
p1cap(i) p1ab
p1tot(i)
p(c,”dom”) ptxpow(c) Uwaga: i=c w modelu „mini-mini”
Variable
p1lab # Economy-wide wage rate #;
p1lab # Economy-wide wage rate #;
(all,i,IND) p1cap(i) # Rental price of capital #;
(all,i,IND) p1tot(i) # Unit cost of production #;
! Cost-balance equation !
Equation E_p1tot # cost of production = cost of all inputs # (all,i,IND) V1TOT(i)*[p1tot(i)+ x1tot(i)] =
sum{c,COM,sum{s,SRC, USE(c,s,i)*[p(c,s) + x(c,s,i)]}}
+ FACTOR("Labour",i)*[p1lab + x1lab(i)]
+ FACTOR("Capital",i)*[p1cap(i)+ x1cap(i)];
p1cap(„Manufacture”)
p1cap(i) p1ab
p1tot(i)
p(c,”dom”) ptxpow(c) Uwaga: i=c w modelu „mini-mini”
Variable
(all,c,COM)(all,s,SRC) p(c,s) # User price of good c, source s #;
(all,c,COM)(all,s,SRC) p(c,s) # User price of good c, source s #;
(all,i,IND) p1tot(i) # Unit cost of production #;
(all,c,COM) ptxpow(c) # Power of domestic tax #;
! Purchaser's prices ! Equation E_pA
(all,c,COM)
p(c,"dom") = p1tot(c) + ptxpow(c);
p1cap(„Manufacture”)
p1cap(i) p1ab
p1tot(i)
p(c,”dom”) ptxpow(c) Uwaga: i=c w modelu „mini-mini”
Variable
(all,c,COM)(all,s,SRC) p(c,s) # User price of good c, source s #;
(all,c,COM)(all,s,SRC) p(c,s) # User price of good c, source s #;
(all,i,IND) p1tot(i) # Unit cost of production #;
! Cost-balance equation !
Equation E_p1tot # cost of production = cost of all inputs # (all,i,IND) V1TOT(i)*[p1tot(i)+ x1tot(i)] =
sum{c,COM,sum{s,SRC, USE(c,s,i)*[p(c,s) + x(c,s,i)]}}
+ FACTOR("Labour",i)*[p1lab + x1lab(i)]
+ FACTOR("Capital",i)*[p1cap(i)+ x1cap(i)];
