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اقتصاد خرد (2) دكتر داودي PowerPoint PPT Presentation


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اقتصاد خرد (2) دكتر داودي. انواع توابع. توابع مستقيم. انواع توابع:. توابع غير مستقيم. تابع همگن. از نظر ریاضی تابعی را همگن از درجه h گویند که در آن با برابر شدن تمامی متغیرهای مستقل مقدار متغیر تابع برابر گردد، که در آن h درجه همگنی تابع مورد نظر می باشد.

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اقتصاد خرد (2) دكتر داودي

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(2)


:

h h .

:

:


.


h MRS .


:

:


:

:

: n


MRS :

X2

B

3

2

A

. :

X1

O

4

6

X2

I.C.C

B2

B

A2

A

X1

O

A1

B1

M

N


I.C.C .

:

.

Px1

.

E

F

.

.

h

X1


:

*


:

:


(1)

D

D .


(1) ( ) . :

:

:

(1)

:

u u1 u2 u1 u2 :


:

(1)


(2)

-

:

:

:


(1)

MRS . :

  • - .

  • - .

: (1)


:

- :

:


:

P

: .

  • ( - ) .

  • .


.

.

.

.

:

:


h :

h


  • h TC .

  • TC .


L K

VMPL

VMPL

L



- :

- :

:

.


.

X2

  • (X2/X1) :

  • .

X1

O

  • I.C.C MRS .


  • . :

u v v u :

u v .


C.E.S

: .


:

  • .


:

:

: C.E.S


C.E.S C.E.S :


CES:


:


:

:

- :

: C.E.S C.E.S - .


C.E.S:


.


-

- :


.


Stone-Geary Klein- Robin

(1)


(1):

. .

- .



:

.

1

2


Separable Utility function

Non- Addetive

Strongly separable

Addetive

weakly separable

Addetive

Non- Addetive


1)

:

i j

:

MRS .


2)


3)

MRS .


:

:

MRS :

:

.


4)

- ( MRS ) .

- MRS . MRS .


:

  • .

  • - .


- . :

.

- . :


:


.

.

1 2 .


. :

.


X1 X2

X2 X1

Translog Utility function

C.E.S :

: C.E.S


. ( ):


h . CES . CES h h .

LnQ . h .

1

:

:

h


Xi


U . :

.

1- .

2- V


V .

3- V . :

: F.O.C


4- V . :

Pj :


:

(2)

(1)

(1)

(3)

.


:

.

5- .

P1 P2 .


.

v

.

v


:

v u :


( )

I

I X U U X P .


V

U


S.O.C V

S.O.C U

3*3 :

3*3 :


:

:

:


:

S.O.C min v .

:

:

:


(1)

: (1) pi

:


:

1- - :

:

:

:

(1) .


:

2 - :

Indirect addilog utility function

3 - :

:


4- :

:

:


:

:

= X1


.

Almost Ideal demand system

4- A.I.D.S :

1980 . . .


:

(1)

Expenditure for subsistence

Bliss expenditure

b(p) u .

a(p) u .

pic Log.

b(p) a(p) . . .


(1) :

(2)


(3)

(2) :


(3) :

.

:

. .


Money Metric Utility function

5- :

.

x1 x2

.

.

.

(A B) .


A .

B .

h :

E . E h :


h :

GDP .


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