intermediate micro lecture 5

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Ⱦɭɧɞ ɬԛɜɲɧɢɣ ɦɢɤɪɨɷɤɨɧɨɦɢɤɫ ɯɢɱɷɷɥɢɣɧ ɥɟɤɰ №5 Ȼԛɬɷɷɝɞɷɯԛԛɧɢɣ ɷɪɷɥɬ, ɷɪɷɥɬɢɣɧ ɮɭɧɤɰ

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Page 1: Intermediate Micro Lecture 5

№5 ,

Page 2: Intermediate Micro Lecture 5

Э

Э

.

– Э

x1*(p1,p2,y) x2*(p1,p2,y) .

Page 3: Intermediate Micro Lecture 5

Э

.

x1*(p1,p2,y) x2*(p1,p2,y)

.

Page 4: Intermediate Micro Lecture 5

p2 y

x1*(p1,p2,y) ?

p1 p1’- p1’’, p1’’’ .

Page 5: Intermediate Micro Lecture 5

x1

x2

p1 = p1’ p1x1 + p2x2 = y

Page 6: Intermediate Micro Lecture 5

x1

x2

p1= p1’’

p1 = p1’ p1x1 + p2x2 = y

Page 7: Intermediate Micro Lecture 5

x1

x2

p1= p1’’ p1=

p1’’’

p1 = p1’ p1x1 + p2x2 = y

Page 8: Intermediate Micro Lecture 5

x2

x1

p1 = p1’

Page 9: Intermediate Micro Lecture 5

x2

x1x1*(p1’)

p1 = p1’

Page 10: Intermediate Micro Lecture 5

x2

x1x1*(p1’)

p1

x1*(p1’)

p1’

x1*

p1 = p1’

Page 11: Intermediate Micro Lecture 5

x2

x1x1*(p1’) x1*(p1’’)

p1

x1*(p1’) x1*(p1’’)

p1’

p1’’

x1*

Page 12: Intermediate Micro Lecture 5

x2

x1x1*(p1’) x1*(p1’’)

p1

x1*(p1’) x1*(p1’’)

p1’

p1’’ p1 = p1’’’

x1*

Page 13: Intermediate Micro Lecture 5

x2

x1x1*(p1’’’) x1*(p1’) x1*(p1’’)

p1

x1*(p1’) x1*(p1’’’) x1*(p1’’)

p1’

p1’’

p1’’’

x1*

Page 14: Intermediate Micro Lecture 5

x2

x1x1*(p1’’’) x1*(p1’) x1*(p1’’)

p1

x1*(p1’) x1*(p1’’’) x1*(p1’’)

p1’

p1’’

p1’’’

x1*

Page 15: Intermediate Micro Lecture 5

x2

x1x1*(p1’’’) x1*(p1’) x1*(p1’’)

p1

x1*(p1’) x1*(p1’’’) x1*(p1’’)

p1’

p1’’

p1’’’

x1*

p1 ү

Page 16: Intermediate Micro Lecture 5

.

x1-

.

Page 17: Intermediate Micro Lecture 5

-

-

?

U x x x xa b( , ) .1 2 1 2

Page 18: Intermediate Micro Lecture 5

x1*(p1’’’) x1*(p1’) x1*(p1’’)

x2

x1

p1

x1*

x

by

a b p

2

2

*

( )

xay

a b p1

1

*

( )

xay

a b p1

1

*

( )

Page 19: Intermediate Micro Lecture 5

?

U x x x x( , ) min , .1 2 1 2

Page 20: Intermediate Micro Lecture 5

x p p y x p p yy

p p1 1 2 2 1 2

1 2

* *( , , ) ( , , ) .

Page 21: Intermediate Micro Lecture 5

p1

x1*

x

y

p p

2

1 2

*

xy

p p1

1 2

*

xy

p p1

1 2

*.

x1

x2

p1’

p1’’

p1’’’

y

p2

y/p2

Page 22: Intermediate Micro Lecture 5

?

U x x x x( , ) .1 2 1 2

Page 23: Intermediate Micro Lecture 5

x p p yif p p

y p if p p1 1 2

1 2

1 1 2

0*( , , )

,

/ ,

x p p yif p p

y p if p p2 1 2

1 2

2 1 2

0*( , , )

,

/ , .

Page 24: Intermediate Micro Lecture 5

x2

x1

p1

x1*

p1’

p2 = p1’’

p1’’’

xy

p1

1

*

0 12

xy

p

*

y

p2

Page 25: Intermediate Micro Lecture 5

? .

.

Page 26: Intermediate Micro Lecture 5

p1

x1*

p1’

Page 27: Intermediate Micro Lecture 5

Ү өөрчлөлт p1

x1*

p1’

x1’

p1’

?

: x1’ .

x1’

?

: p1’

Page 28: Intermediate Micro Lecture 5

.

Page 29: Intermediate Micro Lecture 5

p1 p2 y x1*(p1,p2,y) –

?

Page 30: Intermediate Micro Lecture 5

x2

x1

p1 p2 .

в’ < в’’ < в’’’

Page 31: Intermediate Micro Lecture 5

x2

x1

Орл гы өөрчлөлт

в’ < в’’ < в’’’

Page 32: Intermediate Micro Lecture 5

x2

x1

Орл гы өөрчлөлт

в’ < в’’ < в’’’

x1’’’ x1’’

x1’

x2’’’ x2’’ x2’

Page 33: Intermediate Micro Lecture 5

x2

x1

Орл гы өөрччлөлт

в’ < в’’ < в’’’

x1’’’ x1’’

x1’

x2’’’ x2’’ x2’

Page 34: Intermediate Micro Lecture 5

Э

(Engel curve) .

Page 35: Intermediate Micro Lecture 5

x2

x1

в’ < в’’ < в’’’

x1’’’ x1’’

x1’

x2’’’ x2’’ x2’

x1*

y

x1’’’ x1’’ x1’

в’ в’’

в’’’

Э

Page 36: Intermediate Micro Lecture 5

x2

x1

в’ < в’’ < в’’’

x1’’’ x1’’

x1’

x2’’’ x2’’ x2’

О

x1*

x2*

y

y

x1’’’ x1’’

x1’

x2’’’ x2’’

x2’

в’ в’’ в’’’

в’ в’’ в’’’

2- Э

1-

Э

Page 37: Intermediate Micro Lecture 5

-

- Э

?

Э

U x x x xa b( , ) .1 2 1 2

xay

a b px

by

a b p1

12

2

* *

( );

( ).

Page 38: Intermediate Micro Lecture 5

xay

a b px

by

a b p1

12

2

* *

( );

( ).

Э y- я :

ya b p

ax

ya b p

bx

( )

( )

*

*

11

22

1- Э

2- Э

-

Page 39: Intermediate Micro Lecture 5

y

y x1*

x2*

ya b p

ax ( ) *1

1

ya b p

bx ( ) *2

2

-

1- Э

2- Э

Page 40: Intermediate Micro Lecture 5

.

Э

x xy

p p1 2

1 2

* *.

U x x x x( , ) min , .1 2 1 2

Page 41: Intermediate Micro Lecture 5

y p p x

y p p x

( )

( )

*

*

1 2 1

1 2 2

x xy

p p1 2

1 2

* *.

Э y- :

1- Э

2- Э

Page 42: Intermediate Micro Lecture 5

x1

x2

в’ < в’’ < в’’’

Page 43: Intermediate Micro Lecture 5

x1

x2

в’ < в’’ < в’’’

x1’’ x1’

x2’’’ x2’’ x2’

x1’’’

Page 44: Intermediate Micro Lecture 5

x1

x2

в’ < в’’ < в’’’

x1’’ x1’

x2’’’ x2’’ x2’

x1’’’ x1*

y

в’ в’’ в’’’

x1’’’ x1’’

x1’

1- Э

Page 45: Intermediate Micro Lecture 5

x1

x2

в’ < в’’ < в’’’

x1’’ x1’

x2’’’ x2’’ x2’

x1’’’ x1*

x2*

y

y x2’’’ x2’’

x2’

в’ в’’ в’’’

в’ в’’ в’’’

x1’’’ x1’’

x1’

2- Э

1-

Э

Page 46: Intermediate Micro Lecture 5

x1*

x2*

y

y x2’’’ x2’’

x2’

в’ в’’ в’’’

в’ в’’ в’’’

x1’’’ x1’’

x1’

y p p x ( )*

1 2 2

y p p x ( )*

1 2 1

2- Э

1-

Э

Page 47: Intermediate Micro Lecture 5

Э ё.

U x x x x( , ) .1 2 1 2

Page 48: Intermediate Micro Lecture 5

x p p yif p p

y p if p p1 1 2

1 2

1 1 2

0*( , , )

,

/ ,

x p p yif p p

y p if p p2 1 2

1 2

2 1 2

0*( , , )

,

/ , .

p1 < p2 ү . xy

p1

1

* x2 0* ,

x2 0*

.y p x 1 1*

,

Page 49: Intermediate Micro Lecture 5

x2 0*

.y p x 1 1

*

y y

x1* x2* 0

1- Э

2- Э

Page 50: Intermediate Micro Lecture 5

.

Э .

Page 51: Intermediate Micro Lecture 5

. Э

.

Page 52: Intermediate Micro Lecture 5

x2

x1

; 1&2-

x1’’’ x1’’

x1’

x2’’’ x2’’ x2’

О

x1*

x2*

y

y

x1’’’ x1’’

x1’

x2’’’ x2’’

x2’

в’ в’’ в’’’

в’ в’’ в’’’

2- Э

1-

Э

Page 53: Intermediate Micro Lecture 5

x2

x1

Page 54: Intermediate Micro Lecture 5

x2

x1

Page 55: Intermediate Micro Lecture 5

x2

x1

Page 56: Intermediate Micro Lecture 5

x2

x1

Income

offer curve

Page 57: Intermediate Micro Lecture 5

x2

x1 x1*

y Engel curve

for good 1

Page 58: Intermediate Micro Lecture 5

x2

x1 x1*

x2*

y

y

Engel curve

for good 2

Engel curve

for good 1

Page 59: Intermediate Micro Lecture 5

Э

.

Page 60: Intermediate Micro Lecture 5

Э

Э p2 y .

x1

x2

Page 61: Intermediate Micro Lecture 5

Э

x1

x2 p1-

Page 62: Intermediate Micro Lecture 5

Э

x1

x2

x1*

1-

p1 p1-

Page 63: Intermediate Micro Lecture 5

(Giffen) .

Page 64: Intermediate Micro Lecture 5

Э

p2 y .

x1

x2

Page 65: Intermediate Micro Lecture 5

Э

x1

x2 p1 ү

Page 66: Intermediate Micro Lecture 5

x1

x2

x1*

Э .

1-

Г

p1

Э

p1 ү

Page 67: Intermediate Micro Lecture 5

p2

– 1- 1 2- .

– 1- 1 2-

.

Page 68: Intermediate Micro Lecture 5

ө ш :

xy

p p1

1 2

*

x

p

y

p p

1

2 1 22

0*

.

Page 69: Intermediate Micro Lecture 5

p1

x1*

p1’

p1’’

p1’’’

y

p2’’

2- p2’-

p2’’ 1-

2

.

Page 70: Intermediate Micro Lecture 5

Cobb- Douglas- :

xby

a b p2

2

*

( )

x

p2

1

0*

.

ё .

Page 71: Intermediate Micro Lecture 5

.

• Y X-

x yx

y,

%

%.

Page 72: Intermediate Micro Lecture 5

Э

quantity a/2

a/2b

price |ε|=∞

|ε|>1

|ε|=1

|ε|<1

|ε|=0

Page 73: Intermediate Micro Lecture 5

quantity

price

q q+△q

p+△p

p p△q

q△p

△p△q

Page 74: Intermediate Micro Lecture 5

Э Т = 1, … ,n .

i- j-

.

x p p mji i* ( , , )1 2

Page 75: Intermediate Micro Lecture 5

j-

M = nm.

X p p m m x p p mjn

ji i

i

n( , , , , ) ( , , ).*

1 21

1 21

X p p M n x p p mj j( , , ) ( , , )*1 2 1 2

Page 76: Intermediate Micro Lecture 5

.

ё ; i = A,B.

Page 77: Intermediate Micro Lecture 5

p1 p1

x A1*

x B1*20 15

p1’ p1”

p1’ p1”

Page 78: Intermediate Micro Lecture 5

p1 p1

x A1* x B

1*

x xA B1 1*

p1

20 15

p1’ p1”

p1’ p1”

p1’ p1”

Page 79: Intermediate Micro Lecture 5

p1 p1

x A1* x B

1*

x xA B1 1*

p1

20 15

35

p1’ p1”

p1’ p1”

p1’ p1”

A B

.

Page 80: Intermediate Micro Lecture 5

– -

– -

Э

Page 81: Intermediate Micro Lecture 5

: • Hal.R.Varian. (2008). “Intermediate

Microeconomics: A Modern Approach”, W.W. Norton & Company, New-York.

Chapter 6.

• . , . , . , . , . .

(2005). “Мик эк ик ”. , . 5.