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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 3461090

(2)


2 3461090

:

h h .

:

:


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.


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h MRS .


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:

:


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:

:

: n


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MRS :

X2

B

3

2

A

. :

X1

O

4

6

X2

I.C.C

B2

B

A2

A

X1

O

A1

B1

M

N


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I.C.C .

:

.

Px1

.

E

F

.

.

h

X1


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:

*


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:

:


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(1)

D

D .


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(1) ( ) . :

:

:

(1)

:

u u1 u2 u1 u2 :


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:

(1)


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(2)

-

:

:

:


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(1)

MRS . :

  • - .

  • - .

: (1)


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:

- :

:


2 3461090

:

P

: .

  • ( - ) .

  • .


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.

.

.

.

:

:


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h :

h


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  • h TC .

  • TC .


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L K

VMPL

VMPL

L


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- :

- :

:

.


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.

X2

  • (X2/X1) :

  • .

X1

O

  • I.C.C MRS .


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  • . :

u v v u :

u v .


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C.E.S

: .


2 3461090

:

  • .


2 3461090

:

:

: C.E.S


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C.E.S C.E.S :


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CES:


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:


2 3461090

:

:

- :

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


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C.E.S:


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.


2 3461090

-

- :


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.


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Stone-Geary Klein- Robin

(1)


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(1):

. .

- .


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:

.

1

2


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Separable Utility function

Non- Addetive

Strongly separable

Addetive

weakly separable

Addetive

Non- Addetive


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1)

:

i j

:

MRS .


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2)


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3)

MRS .


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:

:

MRS :

:

.


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4)

- ( MRS ) .

- MRS . MRS .


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:

  • .

  • - .


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- . :

.

- . :


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:


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.

.

1 2 .


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. :

.


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X1 X2

X2 X1

Translog Utility function

C.E.S :

: C.E.S


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. ( ):


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h . CES . CES h h .

LnQ . h .

1

:

:

h


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Xi


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U . :

.

1- .

2- V


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V .

3- V . :

: F.O.C


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4- V . :

Pj :


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:

(2)

(1)

(1)

(3)

.


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:

.

5- .

P1 P2 .


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.

v

.

v


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:

v u :


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( )

I

I X U U X P .


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V

U


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S.O.C V

S.O.C U

3*3 :

3*3 :


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:

:

:


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:

S.O.C min v .

:

:

:


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(1)

: (1) pi

:


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:

1- - :

:

:

:

(1) .


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:

2 - :

Indirect addilog utility function

3 - :

:


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4- :

:

:


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:

:

= X1


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.

Almost Ideal demand system

4- A.I.D.S :

1980 . . .


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:

(1)

Expenditure for subsistence

Bliss expenditure

b(p) u .

a(p) u .

pic Log.

b(p) a(p) . . .


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(1) :

(2)


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(3)

(2) :


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(3) :

.

:

. .


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Money Metric Utility function

5- :

.

x1 x2

.

.

.

(A B) .


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A .

B .

h :

E . E h :


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h :

GDP .


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