,^â Ô % / & ùý ^ýýýÁ - arskiu.net · 9 X 1 Z Hirazawa M.and A. Yakita (2008) Fertility,...

10
1 ϨᴫɂȫɔȾ ǽటሟɁᄻᄑɂǾఙɁ˰ᛓʬʑʵɥႊȗȹуᄑᦂɁ៣ໃȺȕɞी ሎလȻ៵ሎလɥʬʑʵȾጸɒᣅɦȳʬʑʵɥႊȗȹᄑటᖞሥȻጽຑᩋ ȾȷȗȹɁґɥᚐșȦȻȺȕɞǿ ǽᝥᦂҤɥᐎȪȲҋလюԇʬʑʵȾɂǾȗȢȷȞɁᆅሱȟȕ ɞǿںߴ2001ᴦɂǾҋလɥюԇȪȲዊԨȽ˰ᛓʬʑʵȾژȸȠǾ ߵފԇߦኍȻȪȹ೫ȨɟȹȗɞᑎзୈɁጽຑӛɥǾᦂᬆɁکնȻᢎ ȪȹґɥᚐȶȹȗɞǿɑȲǾGroezen, Leers and Mejidam2003ᴦɂȨɜȾ ឰɥɔȹǾںߴ2001ᴦȻպറɁߦӛႊɥȪȽȟɜǾᦂί᪙ ୳ȟˢȺȕɞکնɁఊᤛȽзਖ਼छɁ෩ໄɥɔȹȗɞǿںߴ2004ᴦɂǾ ԨጠȽఙˁ˰Ɂ˰ᛓʬʑʵɥႊȗȹǾފᑎȹୈɗᦂᬆɁጽ ຑՀȾՒɏȬӛɥґȪȹȗɞǿધႎᴥ2004ᴦɂǾఙɁ˰ᛓʬʑ ʵɥႊȗȹǾފȼɕɁɥюԇȪзਖ਼छȻᝥᦂҤɁኍӛȾ ȷȗȹґɥᚐȶȹȗɞǿYasuoka and Goto2010ᴦɂǾߴᩒጽຑɁ˩ ȺǾзਖ਼छɁ៣ໃȻȪȹәЄीሎလȻ៵ሎလɥ˫țǾȰɟȱɟɁᝥሎਖ਼ Ɂ˩ȺɁᇋՀɥఊ۾ȾȬɞзਖ਼छɁ۾ȠȨɥɔȹȗɞǿˁऻᗵ 2014ᴦɂǾҋလюԇʬʑʵɥႊȗȹǾзਖ਼छɁፈ෩ໄȟҋလɗጽຑ ᩋȾȼɁɛșȽफᬭɥ˫țɞɁȞɥျᄑȾᐎߔȪȲǿGroezen, Leers and Mejidam2003ᴦɗ Hirazawa and Yakita2009ᴦȺɂǾ ފȼɕɁȻᝥ ᦂɁΡȾȷȗȹɂґȨɟȹȗɞɕɁɁǾᄑటᖞሥȾȬɞឰȟ ጸɒᣅɑɟȹȗȽȞȶȲǿరႎᴥ2012ᴦɂǾ Cardak2004ᴦɁᄑటɥ уᄑᦂȻᄑటᖞሥȾȬɞˢᐎߔᴥᴯᴦ ˹ǽ൞ǽǽǽӁ Ȑǽ୫ȑ

Transcript of ,^â Ô % / & ùý ^ýýýÁ - arskiu.net · 9 X 1 Z Hirazawa M.and A. Yakita (2008) Fertility,...

1

2001

Groezen, Leers and Mejidam 2003

2001

2004

2004

Yasuoka and Goto 2010

2014

Groezen, Leers and

Mejidam 2003 Hirazawa and Yakita 2009

2012 Cardak 2004

2

2016 2012

2012

2016 2012

2016

2016

t

t + 1 t +

2

t

( )ttt HKFY ,=

Y t t K t H t

t

r t

3

w t

( ) tttttt KrHwHKF −−=Π ,

( )tt kfr ′= ( ) ( ) tttt kkfkfw ′−=

f (k t ) Y t / H t

k t K t / H t 2012

2016

r t r k t k

w t

( ) ( ) wkwkww tt ≡=≡

t + 1

2016 Cardak 2004

t i

t + 1 hit+1

( )q

it

itqi

tit n

ehh−

+ ⎟⎟⎠

⎞⎜⎜⎝

⎛=

1

1 θ

> 0 q (0,1) i h it

t - 1 i t e it t

4

i t t - 1 n it t - 1 i t

2012 2016

ttt NhH ≡

h t t N t t

2012 2016 H t

∑ ≠+≡

ijjt

itt hhH

j i h jt t i i t

2012 2016

i j

t

t + 1

t i t + 1 I it+1

( ) it

it

it hwI 111 1 +++ −= τ

(0,1)

2012 2016 2004

t i t

+ 1 c it+1 10

5

( ) it

it

itc eIc 1111 +++ −−=+ ρτ 10

c c (0,1)

2012 2016

2004 t i t + 2 c it+2

11

( ) ρρτt

ijit

it

t

titc N

nn

NN

c∑ ≠ +++

+

+==+

11121 11

N it+1 n i

t+1 + j i n jt+1 11 j i n j

t+1 t

+ 1 i

2016

2016 2016

it

it

it

it cecnMaximize

2,111 ,, ++++

( ) i

tit

it

iti

tit c

necu 2

1

111

, logloglog ++

+++ +

++= γ

εβα

..ts ( ) it

it

itc eIc 1111 +++ −−=+ ρτ

it

it c 11 ++ = δε

( ) it

it whI 11 1 ++ −= τ

( ) ρρτt

ijit

it

t

titc N

nn

NNc

∑ ≠ ++++

+==+

11121

12

13

14

15

16

(0,1)

6

14

it+1

e it+1

e it+1+ i

t+1

t i t + 1

n it+1 17

( )( )βγ

γβ

−=

∑ ≠ +

+ijiti

t

nn

11 17

t + 1 i t + 1 c it+1

t + 1 e it+1 18 19

( )( )( )δτβα

ρα−++

−= +

+c

iti

tI

c11

1

( ){ }( )( )( )δτβα

ραδδτβ−++

−−−+= +

+c

itci

tIe

11 1

1

18

19

t i t + 2 c it+2 20

( )( ) tc

ijiti

t N

nc

βγτ

ργ

−+=

∑ ≠ +

+ 11

2 20

t

17 19 t t - 1 i

I it n i

t e it 21

22 23

( ) it

it whI τ−= 1 21

7

( ){ }( )( )( )δτβα

ραδδτβ−++

−−−+=

c

tcit

Ie1

1

( )( )βγ

γβ

−=

∑ ≠ijitn

itn

22

23

21 22 23

24

( ) ( ){ } ( ){ }( )( )

( )( )

q

ijitc

itcqi

tit n

whhh

+ ⎟⎟

⎜⎜

−−

⋅−++

−−−−+=

1

1 111

γββγ

δτβαρταδδτβ

24

h s 25

( ){ }( )

( ) ( )( ) ( )( ) ( )( )wnwh

ij

itc

cis

τβγαδγββατβγβδτ

ρβγαδδτβ

−−−⎭⎬⎫

⎩⎨⎧

−+−−−−+

−−−+=

∑≠

111

125

2012 2016

' 25

26

8

( ){ }( )

( ) ( )( ) ( )( ) ( )( )wnwij

itc

c

τβγαδγββατβγβδτ

ρβγαδδτβ

−−−⎭⎬⎫

⎩⎨⎧

−+−−−−+

−−−+

∑≠

111

1 '

( ){ }( )

( ) ( )( ) ( )( ) ( )( )wnwij

itc

c

τβγαδγββατβγβδτ

ρβγαδδτβ

−−−⎭⎬⎫

⎩⎨⎧

−+−−−−+

−−−+>

∑≠

111

1

26

26

2016

2016

2016

2016

2016 2012

2016

Cardak, B. A. (2004)“Education Choice,Endogeneous Growth and Income Dis-

tribution,” Economica, Vol.71,pp.57-81.

Glomm, G. and B. Ravikumar (1992) “Public versus Private Investment in Hu-

man Capital: Endogeneous Growth and Income Inequality,” Journal of Political

Economy, Vol. 100, pp. 818-834.

Groezen, B. van, T. Leers and L. Mejidam (2003) “Social Security and Endoge-

nous Fertility: Pensions and Child Allowances as Siamese Twins,” Journal of

Public Economics, Vol. 84, pp. 233-251.

9

Hirazawa M.and A. Yakita (2008) “Fertility, Child care Outside the Home and

Pay-as-you-go Social Security,” Journal of Population Economics, Vol.22, pp.

565-583.

Yasuoka, M. and N. Goto (2011) “Pension and Child Care Policies with Endoge-

neoud Fertility,” Economic Modeling, Vol. 28, pp. 2478-2482.

2001 37

535 546

2004

105 121

2016

Vol.90 41 50

2012

Vol.17 41 51

10 2016

Vol.20 121 128

11 2004

,Vol.54 96 105

12 2014

Vol.49 29 46