• 検索結果がありません。

新興・途上国におけるマクロ経済政策、総労働の増加、最低賃金の上昇と農村都市間労働移動 : ニューケインジアン・モデルとハリス・トダローモデルの融合による開発マクロモデルの一例 利用統計を見る

N/A
N/A
Protected

Academic year: 2021

シェア "新興・途上国におけるマクロ経済政策、総労働の増加、最低賃金の上昇と農村都市間労働移動 : ニューケインジアン・モデルとハリス・トダローモデルの融合による開発マクロモデルの一例 利用統計を見る"

Copied!
25
0
0

読み込み中.... (全文を見る)

全文

(1)

 

 !"#

 

 !"#$%

&'()*+,-.,/0123456 )/01

789:; /01<=&

$ % & '

(2)

ᣂ⥝࡮ㅜ਄࿖ߦ߅ߌࠆࡑࠢࡠ⚻ᷣ᡽╷ޔ✚ഭ௛ߩჇടޔᦨૐ⾓㊄ߩ਄᣹ߣㄘ᧛ㇺᏒ㑆ഭ௛ ⒖േ ̆࠾ࡘ࡯ࠤࠗࡦࠫࠕࡦ࡮ࡕ࠺࡞ߣࡂ࡝ࠬ࡮࠻࠳ࡠ࡯ࡕ࠺࡞ߩⲢวߦࠃࠆ㐿⊒ࡑࠢࡠࡕ࠺࡞ ߩ৻଀̆ 㘵㊁శᶈ 㧝ޔߪߓ߼ߦ ㄭᐕޔᣂ⥝࿖⚻ᷣߩ⊒ዷ߿਎⇇⚻ᷣߢߩᓇ㗀ജߩჇᄢߦߪ⋡ࠍ⷗ᒛࠆ߽ߩ߇޽ࠆޕႎ㆏ ߦࠃࠆߣޔᣂ⥝࿖ߩઍฬ⹖ߢ޽ࠆ BRICs ߪ 2000 ᐕ㨪2008 ᐕߩ਎⇇ߩ GDP ᚑ㐳ߩ 46.8% ࠍභ߼ࠆ߇ޔవㅴ࿖ߩઍ⴫ߢ޽ࠆ G7 ߪ 19.8㧑ߒ߆භ߼ߡ޿ߥ޿ޕߎߩ㑆ߩ਎⇇⚻ᷣߩᚑ 㐳ߩ⚂ඨಽ߇ BRICs ⻉࿖ߦࠃࠆ߽ߩߢ޽ࠆޕߎࠇ߇ 2008 ᐕ㨪2014 ᐕߢߪ BRICs ⻉࿖ߪ 61.3%ࠍභ߼ޔG7 ߪ 12.8%ߦߥࠆߣ޿߁㧔Financial Times ߩ 2010 ᐕ 1 ᦬ 18 ᣣઃߌ․㓸 ⸥੐㧕ޕ ߐࠄߦޔ⃻࿷ߩ਎⇇⚻ᷣෂᯏ߆ࠄߩ࿁ᓳㆊ⒟ߦ㑐ߔࠆ᭽ޘߥႎ㆏1ߥߤ߆ࠄޔᣂ⥝࿖ߪవ ㅴ࿖ࠃࠅ߽ᣧߊᕆㅦߦ࿁ᓳߒޔ߹ߐߦ㨂ሼ࿁ᓳߩ᭽⋧ߢ޽ࠆߎߣ߽ࠊ߆ࠆޕߟ߹ࠅޔᣂ⥝ ࿖߇਎⇇⚻ᷣߩᚑ㐳ࠍ‧ᒁߒߡ޿ࠆޕ ߎߩࠃ߁ߥ଀߇␜ߔࠃ߁ߦޔ⃻࿷ߩ਎⇇⚻ᷣࠍ⠨߃ࠆߣ߈ޔᣂ⥝࿖ߪߘߩ㊀ⷐᕈࠍჇߒ ߡ޿ࠆ߇ޔᣂ⥝ㅜ਄࿖ߪవㅴ࿖ߣ⚻ᷣ᭴ㅧߩ㕙ߢ᳿ቯ⊛ߦ⇣ߥߞߡ޿ࠆޕߘࠇߪޔ⚻ᷣߦ භ߼ࠆㄘᬺㇱ㐷ߩᄢ߈ߐߩ㆑޿ߢ޽ࠆޕᣂ⥝ㅜ਄࿖ߪవㅴ࿖ߦᲧߴߡޔㄘᬺ߇භ߼ࠆഀว ߇ᄢ߈ߊޔߎߩ㆑޿ߪ⚻ᷣಽᨆߔࠆ਄ߢ߽ߣߡ߽ᄢ߈޿ޕ ଀߃߫ޔGDP ߦභ߼ࠆㄘᬺㇱ㐷ߩᲧ₸ࠍ␜ߒߚߩ߇ਅߩ⴫㧝ߢ޽ࠆ 

2000

2005㩷 2007㩷 2008㩷 ࡉ࡜ࠫ࡞

6 6 6 7㩷 ਛ࿖

15 13 11 11㩷 ࠗࡦ࠼

23 19 18 18㩷 ࠗࡦ࠼ࡀࠪࠕ

16 13 14 14㩷 ࡠࠪࠕ

6 6 5 n.a㩷 ࡌ࠻࠽ࡓ

25 21 20 n.a㩷 ⴫㧝 GDP ߦභ߼ࠆㄘᬺߩᲧ₸

಴ౖ㧦World Development Indicators database, April 2009.

ߎߩ⴫߆ࠄޔᣂ⥝ฦ࿖ߪ㜞޿⚻ᷣᚑ㐳ࠍ㆐ᚑߒߥ߇ࠄ߽ޔGDP ߦභ߼ࠆㄘᬺㇱ㐷ߩᲧ₸߇ ᄢ߈޿ߎߣ߇ࠊ߆ࠆޕਛ࿖ߪ 10㧑ㄭ޿ᚑ㐳₸ߢ޽ࠆ߇ޔㄘᬺᲧ₸߽ 10㧑⒟ᐲ޽ࠆޕࠗࡦ࠼

1 ଀߃߫ޔ”Briefing Emerging markets and recession”, The Economist, January 2nd 2010, 24-26ppߥߤޕ

 

 !"#$%

&'()*+,-.,/0123456 )/01

789:; /01<=&

 

(3)

߽ਛ࿖ߦᰴߋ㜞ᚑ㐳ߢ޽ࠅߥ߇ࠄ߽ޔㄘᬺᲧ₸߇ 20㧑⒟ߢ޽ࠆ2ޕ  ߐࠄߦޔᣂ⥝ㅜ਄࿖ߩ߅ߌࠆ✚ഭ௛ੱญߦභ߼ࠆㄘᬺᓥ੐⠪ߩഀวࠍ␜ߒߚߩ߇⴫ 2 ߢ ޽ࠆޕ  㩷 2005 2006 2007 ਛ࿖

43.6% 41.6% 40.0% ࠗࡦ࠼㩷 54.4% 㩷  㩷 ࠗࡦ࠼ࡀࠪࠕ

40.0% 37.8% 39.4% ࡌ࠻࠽ࡓ㩷 52.5% 50.6% 49.4% ⴫ 2 ㄘᬺᓥ੐⠪Ყ₸

಴ౖ㧦ADB Key Indicators for Asia and the Pacific 2008.  ߎߩ⴫߆ࠄޔਛ࿖ߢߪᐕޘࠊߕ߆ߥ߇ࠄᲧ₸ߪૐਅߒߡ޿ࠆ߇ޔߘࠇߢ߽✚ഭ௛ੱญߩ ߁ߜ⚂ 4 ഀ߇ㄘᬺߦᓥ੐ߒߡ߅ࠅޔࠗࡦ࠼ߢ߽ඨಽએ਄߇ㄘᬺߦᓥ੐ߒߡ޿ࠆޕ߹ߚޔࠗ ࡦ࠼ࡀࠪࠕߢ 4 ഀޔࡌ࠻࠽ࡓߢ 5 ഀ߶ߤߣ㜞޿Ყ₸ߢ޽ࠆޕߎߩࠃ߁ߦᣂ⥝ㅜ਄࿖ߪᄙߊ ߩഭ௛⠪߇ㄘᬺߦᓥ੐ߒߡ߅ࠅޔㄘᬺᵴേ߇৻࿖⚻ᷣߣᷓ޿㑐ଥߦ޽ࠆߎߣࠍ␜ߒߡ޿ࠆޕ ᣂ⥝ㅜ਄࿖ߩ㊀ⷐᕈ߇਎⇇⚻ᷣߢჇߒߡ޿ࠆ⃻࿷ޔߎࠇࠄߩ࿖ޘࠍಽᨆߔࠆߎߣ߿ᣂ⥝ ㅜ਄࿖ߣవㅴ࿖ߩ㑆ߩࡑࠢࡠ⚻ᷣ⋧੕ଐሽ㑐ଥࠍಽᨆߔࠆߎߣߩᔅⷐᕈߪ㜞޿ޕߘߩ㓙ޔ ᣂ⥝ㅜ਄࿖߇వㅴ࿖ߣ⇣ߥࠅޔㄘᬺㇱ㐷߇⚻ᷣߢ㊀ⷐߥ࿾૏ࠍභ߼ߡ޿ࠆߎߣࠍ⠨ᘦߒߡޔ ⎇ⓥߔࠆᔅⷐ߇޽ࠆޕ଀߃߫ޔਛ࿖ޔࠗࡦ࠼ߥߤߢߪ৻࿖ㅢ⽻ଔ୯ߩᄌേߪᎿᬺㇱ㐷ߛߌ ߢߥߊޔᎿᬺㇱ㐷ߦഭ௛ࠍଏ⛎ߒߡ޿ࠆㄘ᧛߿ㄘᬺㇱ㐷ߩᄌൻࠍ߽ߚࠄߒޔᓟ⠪ߪవㅴ࿖ ߦߪߥ޿ലᨐߢ޽ࠆޕߒ߆ߒޔᣢሽߩࡑࠢࡠ⚻ᷣ⎇ⓥߢߪ㊄ⲢᏒ႐ߩ㆑޿ߦ⌕⋡ߒߚ⎇ⓥ ߇ᄢᄙᢙߢ޽ࠅޔㄘᬺㇱ㐷ߪ߶ߣࠎߤήⷞߐࠇߡ߅ࠅޔડᬺⴕേߪ⵾ㅧᬺຠࠍ↢↥ߔࠆᎿ ᬺㇱ㐷ࠍᗐቯߒߡ޿ࠆ3ޕ ߹ߚޔਛ࿖߿ࠗࡦ࠼ߢߪޔㇺᏒൻ߇ㅴⴕߒߡ޿ࠆޕߎߩ 2 ࿖߇ߤߩߊࠄ޿ㇺᏒൻ߇ㅴⴕ ߒߡ޿ࠆ߆ࠍ␜ߒߚߩ߇⴫ 3 ߢ޽ࠆޕ  㩷 1990㩷 1995㩷 2000 2005 2010 2015㩷 2020 ਛ࿖㩷 27.4 31.4 35.8 40.4 44.9 49.2 53.2 ࠗࡦ࠼㩷 25.5 26.6 27.7 28.7 30.1 31.9 34.3 ⴫ 3 ਛ࿖ߣࠗࡦ࠼ߩㇺᏒൻ₸ߩផ⒖

಴ౖ㧦࿖ㅪ World Urbanization Prospects, The 2007 Revision.

 ߎߩ⴫߆ࠄ᣿ࠄ߆ߥࠃ߁ߦޔਛ࿖ߪ 1990 ᐕߩㇺᏒൻ₸ߪ⚂ 27㧑ߢ޽ࠆ߇ޔ2005 ᐕߦߪ

2 ߜߥߺߦޔᣣᧄߪ 07 ᐕߢ⚂ 1㧑ߢ޽ࠆޕ

3 ଀߃߫ޔAgenor and Montiel(2008)ߢߪㄘᬺࠍขࠅᛒߞߡ޿ࠆ┨ߪߥ޿ޕ   

(4)

⚂ 4 ഀߣߥࠅޔ2015 ᐕߦߪ⚂ 5 ഀߦߥࠆߣ޿߁ᕆỗߥㅴዷ߇੍ᗐߐࠇߡ޿ࠆޕࠗࡦ࠼߽ห ᭽ߦਛ࿖߶ߤߢߪߥ޿߇ޔ2005 ᐕߦߪ⚂ 28㧑ߩᲧ₸߇ޔ2010 ᐕߦߪ 3 ഀߦߥࠆߣ੍᷹ߐ ࠇߡ޿ࠆޕ߹ߚޔਛ࿖ߢߪㇺᏒㇱߢߩᄬᬺ߽໧㗴ߦߥߞߡ޿ࠆޕ౏ᑼ⛔⸘ߦ᜚ࠇ߫ޔ2009 ᐕߩㇺᏒㇱߢߩᄬᬺ₸ߪ 4.6㧑ߢ޽ࠆ߇ޔߎࠇߪㇺᏒㇱߢᄬᬺ⠪ߣߒߡ⊓㍳ߒߡ޿ࠆੱߩߺ ߢ޽ࠆޕㇺᏒߦᚭ☋ࠍ᦭ߒߥ޿಴Ⓙ߉ഭ௛⠪╬ࠍ⠨ᘦߔࠆߣᄬᬺ₸ߪ 15㧑ߦ㆐ߒߡ޿ࠆߣ ߽⸒ࠊࠇߡ޿ࠆޕ  ߐࠄߦޔ਎⇇ੱญߪ 2050 ᐕ߹ߢߦ 96 ంੱߦ㆐ߒޔߘߩᄢㇱಽߪ⊒ዷㅜ਄࿖ߦࠃࠆ߽ߩ ߢ޽ࠆߣߩផ⸘ࠍ࿖ㅪ߇⊒⴫ߒߚޕ㧔2013 ᐕ 6 ᦬ 14 ᣣઃᣣᧄ⚻ᷣᣂ⡞ᄕೀ㧕ޕ߹ߚޔਛ࿖ޔ ࠲ࠗߥߤߩᄙߊߩᣂ⥝࡮ㅜ਄࿖ߢߪਛ㑆ጀߩᶖ⾌᜛ᄢߣ޿߁ⷰὐ߆ࠄᦨૐ⾓㊄ࠍᒁ߈਄ߍ ߡ޿ࠆޕ એ਄ߩࠃ߁ߥ⁁ᴫࠍ〯߹߃ߡޔᣂ⥝࿖ߢࡑࠢࡠ⚻ᷣ᡽╷߿ഭ௛ੱญߩჇടޔᦨૐ⾓㊄ߩ ᒁ߈਄ߍ߇ᓥ᧪ߩᎿᬺㇱ㐷ߩߺߥࠄߕޔㄘᬺㇱ㐷߿ㇺᏒᄬᬺ╬ߦ෸߷ߔᓇ㗀ࠍಽᨆߔࠆߎ ߣ߽㊀ⷐߢ޽ࠆޕߒߚ߇ߞߡޔ⃻࿷ઍ⴫⊛ߥ㐿᡼ࡑࠢࡠ⚻ᷣࡕ࠺࡞ߢ޽ࠆ Obstfeld and Rogoff (1995)ߩ Redux ࡕ࠺࡞ߦㄘᬺㇱ㐷ࠍዉ౉ߒߚࡕ࠺࡞ࠍ᭴▽ߒߡޔ਄⸥ߩ⺖㗴ࠍಽᨆ ߔࠆޕߎࠇ߇ᧄⓂߩ⋡⊛ߢ޽ࠆޕ

 ౕ૕⊛ߦߪޔObstfeld and Rogoff (1995)ࠃࠅ߽න⚐ߥ᭴ㅧࠍ᦭ߒߡ޿ࠆ Corsetti and Pesenti(2001)ߩࡕ࠺࡞ߦㄘᬺㇱ㐷ࠍዉ౉ߔࠆޕߐࠄߦㄘ᧛ߣㇺᏒ㑆ߩഭ௛⒖േߪ Harris and Todaro(1970)ߩࡕ࠺࡞ࠍዉ౉ߔࠆޕߎߩࡕ࠺࡞ߦࠃࠅޔ◲ẖߥᒻߢㇺᏒᄬᬺࠍዉ౉ߔ ࠆߎߣ߇น⢻ߣߥࠆޕ એਅߢߪޔᧄⓂߢߩࡕ࠺࡞ࠍ◲නߦ⺑᣿ߔࠆޕᧄࡕ࠺࡞ߪേቇ 2 ࿖ 2 ⽷ࡕ࠺࡞ߢ޽ࠆޕ2 ࿖ߪ⥄࿖㧔H㧕ߣᄖ࿖㧔F㧕ߢ޽ࠅޔ2 ⽷ߪᎿᬺຠ㧔M ⽷㧕ߣㄘ↥ຠ㧔A ⽷㧕ߢ޽ࠆޕᶖ⾌ ⠪ߪ⥄࿖ߣᄖ࿖ߩਔ࿖ߢ↢↥ߐࠇࠆ M ⽷ߣ A ⽷߆ࠄߥࠆ✚ᶖ⾌ߣታ⾰⽻ᐊᱷ㜞߆ࠄല↪ࠍ ᓧࠆޕߘߩല↪㑐ᢙࠍ⇣ᤨὐ㑆ߩ੍▚೙⚂ߩਅߢᦨᄢߦߔࠆࠃ߁ߦ✚ᶖ⾌ߣታ⾰⽻ᐊᱷ㜞 ࠍㆬ߱ޕM ⽷↢↥⠪ޔA ⽷↢↥⠪ߪߣ߽ߦ↢↥ⷐ⚛ߣߒߡഭ௛ߩߺࠍ૶↪ߒߡޔ෼ⓠ৻ቯ ߩ↢↥ᛛⴚߩਅߢޔ↢↥ࠍⴕ߁ޕߎߩߣ߈ޔ೑Ả࠯ࡠ᧦ઙ߆ࠄޔ⽷ଔᩰߣ⾓㊄ߪ╬ߒߊߥ ࠆޕ߹ߚޔM ⽷↢↥ߪㇺᏒߢⴕࠊࠇߡޔA ⽷↢↥ߪㄘ᧛ߢⴕࠊࠇߡޔਔ࿾ၞ㑆ߩഭ௛⒖േ ߦ㑐ߒߡߪޔࡂ࡝ࠬ࡮࠻࠳ࡠ࡯ߩ઒ቯ4ࠍዉ౉ߒߡޔㄘᬺㇱ㐷ߩ⾓㊄ߪㇺᏒᦼᓙ⾓㊄ߦ╬ߒ ߊߥࠆޕ᡽ᐭߪ⥄りߩ࿖ߢ↢↥ߐࠇࠆ M ⽷ߣ A ⽷ߦߩߺᡰ಴ߒߡޔᶏᄖߢ↢↥ߐࠇࠆ⽷ߦ ߪᡰ಴ߒߥ޿ޕߘߩᡰ಴ߪᶖ⾌⠪߆ࠄߩ lump-sum ߥ⒢㊄ߣ⽻ᐊ⊒ⴕ⋉ߢ߹߆ߥࠊࠇࠆߣ ߔࠆޕ ߎߩ㐿⊒ࡑࠢࡠࡕ࠺࡞ࠍ↪޿ߡޔࡑࠢࡠ⚻ᷣ᡽╷߿ഭ௛ੱญߩჇടޔᦨૐ⾓㊄ߩ਄᣹ߩ ലᨐࠍಽᨆߒߚޕᧄⓂߢߪࡑࠢࡠ⚻ᷣ᡽╷ߪޔ੍ᦼߖߑࠆᕡਭ⊛ߥ⽻ᐊଏ⛎ߩᄌൻߣ᡽ᐭ ᡰ಴ߩᄌൻߢ޽ࠆޕ߹ߚޔ૗ࠄ߆ߩⷐ࿃ߢㄘ᧛ㇱ㐷ߩ⾓㊄߇⎬⋥⊛޽ࠆᦼ㑆߇޽ࠅޔߘࠇ ࠍ⍴ᦼߣߔࠆޕߘߩᓟߦᣂߒ޿ቯᏱ⁁ᘒߦ⺞ᢛߐࠇࠆޕߘࠇࠍ㐳ᦼߣߔࠆޕ㐳ᦼߩቯᏱ⁁

4 Harris and Todaro(1970)ߦߒߚ߇޿ޔᧄⓂߢ߽Ꮏᬺㇱ㐷ߩ⾓㊄ߪᦨૐ⾓㊄᳓Ḱߢ࿕ቯߐ ࠇߡ޿ࠆޕ

(5)

ᘒߦ߅ߌࠆಽᨆߩലᨐࠍ߹ߣ߼ߚߩ߇ޔ⴫ 4 ߆ࠄ⴫ 6 ߢ޽ࠆ5ޕ  㩷 ㊄Ⲣ✭๺╷㩷  㩷 ⥄࿖㩷 ᄖ࿖㩷 ฬ⋡ὑᦧ࡟࡯࠻㩷 㧗㩷 㧙㩷 ⥄࿖‛ଔ᳓Ḱ㩷 㧗㩷 㧙㩷 ⥄࿖ㄘᬺ↥಴㊂㩷 0㩷 0㩷 ⥄࿖Ꮏᬺ↥಴㊂㩷 㧗㩷 r㩷 ⥄࿖ㇺᏒᄬᬺᲧ₸㩷 㧙㩷 r㩷 ੤ᤃ᧦ઙ㩷 㧙㩷 㧗㩷 ⴫ 4 㐳ᦼߦ߅ߌࠆ㊄Ⲣ᡽╷ߩലᨐ  㩷 ᜛ᄢ⊛⽷᡽᡽╷㩷  㩷 ⥄࿖㩷 ᄖ࿖㩷  㩷 ㄘᬺຠᡰ಴ Ꮏᬺຠᡰ಴ ㄘᬺຠᡰ಴ Ꮏᬺຠᡰ಴㩷 ฬ⋡ὑᦧ࡟࡯࠻㩷 0㩷 0㩷 0㩷 0㩷 ⥄࿖‛ଔ᳓Ḱ㩷 㧗㩷 㧗㩷 㧗㩷 㧗㩷 ⥄࿖ㄘᬺ↥಴㊂㩷 㧗㩷 㧙㩷 0㩷 0㩷 ⥄࿖Ꮏᬺ↥಴㊂㩷 r㩷 㧗㩷 r㩷 r㩷 ⥄࿖ㇺᏒᄬᬺᲧ₸㩷 㧙㩷 㧙㩷 r㩷 r㩷 ੤ᤃ᧦ઙ㩷 㧗㩷 㧗㩷 㧙㩷 㧙㩷 ⴫ 5 㐳ᦼߦ߅ߌࠆ⽷᡽᡽╷ߩലᨐ  㩷 ✚ഭ௛ߩჇട ᦨૐ⾓㊄ߩ਄᣹  㩷 ⥄࿖㩷 ᄖ࿖㩷 ⥄࿖㩷 ᄖ࿖㩷 ฬ⋡ὑᦧ࡟࡯࠻㩷 0㩷 0㩷 0㩷 0㩷 ⥄࿖‛ଔ᳓Ḱ㩷 㧙 㧙 㧗 㧗 ⥄࿖ㄘᬺ↥಴㊂㩷 㧗 0 0 0 ⥄࿖Ꮏᬺ↥಴㊂㩷 r r 㧙 r ⥄࿖ㇺᏒᄬᬺᲧ₸㩷 㧗 r 㧗 㧙 ੤ᤃ᧦ઙ㩷 㧗 㧙 㧙 㧗 ⴫ 6 㐳ᦼߩ߅ߌࠆ✚ഭ௛ߩჇടߣᦨૐ⾓㊄਄᣹ߩലᨐ 5 ᧄⓂߩࡕ࠺࡞ߢߪ⥄࿖ߣᄖ࿖ߪኻ⒓⊛ߢ޽ࠆߩߢޔ⥄࿖ߩലᨐߩߺࠍ᣿␜ߔࠆޕ     

(6)

ᰴߦޔㄘᬺㇱ㐷ߩ⾓㊄߇⎬⋥⊛ߢ޽ࠆ⍴ᦼߢߩലᨐࠍ߹ߣ߼ߚߩ߇⴫ 7ޔ⴫ 8 ߢ޽ࠆޕߥ ߅ޔ⍴ᦼߦ߅޿ߡ⥄࿖᡽ᐭߩㄘᬺຠᡰ಴ߩჇടߪ⥄࿖ߩㄘᬺ↥಴㊂ࠍჇടߐߖࠆߩߺߢ޽ ࠅޔ⥄࿖᡽ᐭߩᎿᬺຠᡰ಴ߩჇടߪ⥄࿖ߩᎿᬺຠ↥಴㊂ࠍჇടߐߖࠆߩߺߢ޽ࠆޕ  㩷 ㊄Ⲣ✭๺╷㩷  㩷 ⥄࿖㩷 ᄖ࿖㩷 ฬ⋡ὑᦧ࡟࡯࠻㩷 㧗㩷 㧙㩷 ⥄࿖ㄘᬺ↥಴㊂㩷 㧗㩷 r㩷 ⥄࿖Ꮏᬺ↥಴㊂㩷 㧗㩷 r㩷 ⥄࿖ㇺᏒᄬᬺᲧ₸㩷 0㩷 0㩷 ੤ᤃ᧦ઙ㩷 㧙㩷 㧗㩷 ⴫ 7 ⍴ᦼߦ߅ߌࠆ㊄Ⲣ᡽╷ߩലᨐ  㩷 ✚ഭ௛ߩჇട ᦨૐ⾓㊄ߩ਄᣹  㩷 ⥄࿖㩷 ᄖ࿖㩷 ⥄࿖ ᄖ࿖㩷 ฬ⋡ὑᦧ࡟࡯࠻㩷 0㩷 0㩷 0㩷 0㩷 ⥄࿖ㄘᬺ↥಴㊂㩷 䋫㩷 0㩷 0 0 ⥄࿖Ꮏᬺ↥಴㊂㩷 r r 䋭㩷 r㩷 ⥄࿖ㇺᏒᄬᬺᲧ₸㩷 0 0 䋫㩷 0㩷 ੤ᤃ᧦ઙ㩷 䋫㩷 䋭㩷 䋭㩷 䋫㩷 ⴫ 8 ⍴ᦼߦ߅ߌࠆ✚ഭ௛ߩჇടߣᦨૐ⾓㊄਄᣹ߩലᨐ  ߎߎߢ⴫ 4 ߆ࠄ⴫ 8 ߹ߢߩ㧗ߪჇട㧔਄᣹㧕ޔ㧙ߪᷫዋ㧔ૐਅ㧕ࠍ⴫ߒޔrߪࡄ࡜ࡔ࡯࠲ ߩ୯ߦଐሽߒߡ㧗߿㧙ߦߥࠆߎߣࠍᗧ๧ߔࠆޕ  ⍴ᦼߣ㐳ᦼߩലᨐࠍ߹ߣ߼ߚ⴫ 4 ߆ࠄ⴫ 8 ߹ߢߩ⚿ᨐ߆ࠄએਅߩߎߣ߇ಽ߆ࠆޕᦨೋߦޔ ⥄࿖ߩ᜛ᄢ⊛ߥࡑࠢࡠ᡽╷ߪ⥄࿖ߩㇺᏒᄬᬺᲧ₸ࠍᡷༀߐߖࠆޕ৻⥸ߦޔᣂ⥝࡮ㅜ਄࿖᡽ ᐭߪޔㇺᏒ૑᳃ะߌߦ᜛ᄢ⊛ߥࡑࠢࡠ᡽╷ࠍታᣉߔࠆ߇ޔᧄࡕ࠺࡞ߢߪߘߩ᦭ലᕈࠍⵣઃ ߌߡ޿ࠆޕ  ᰴߦޔᣂ⥝࡮ㅜ਄࿖ߦ߅ߌࠆᦨૐ⾓㊄ߩᒁ߈਄ߍߪޔߘߩ᡽ᐭߩᕁᖺㅢࠅߦߪ޿߆ߥ޿ ߎߣ߇ࠊ߆ࠆޕᦨૐ⾓㊄ߩᒁ߈਄ߍߪޔㇺᏒㇱ㐷ߩ㓹↪ࠍᷫዋߐߖߡޔㇺᏒᄬᬺᲧ₸ࠍᖡ ൻߐߖߡߒ߹߁ޕߐࠄߦޔߎߩ᡽╷ߪ‛ଔ᳓ḰࠍჇടߐߖߡߒ߹߁ߚ߼ޔ✚ᶖ⾌߽ᷫዋߒ ߡߒ߹߁ޕߟ߹ࠅޔᦨૐ⾓㊄ߩᒁ߈਄ߍߪޔ⚻ᷣో૕ߢߩᶖ⾌ߩჇടߦߪ⚿߮ߟ߆ߥ޿ޕ  ⥄࿖ߩ✚ഭ௛ߩჇടߪޔㄘᬺㇱ㐷ߩ᜛ᄢߦነਈߔࠆ߇ޔㇺᏒᄬᬺᲧ₸ࠍᖡൻߐߖߡߒ߹ ߁ޕㇺᏒㇱ㐷ߩ㓹↪ߦ෸߷ߔᓇ㗀ߪࡄ࡜ࡔ࡯࠲ߦଐሽߒߡޔ৻ᗧߦ᳿ቯߢ߈ߥ޿ޕߒ߆ߒޔ ႐วߦࠃߞߡߪޔㇺᏒㇱ㐷ߩ㓹↪߇Ⴧടߒߚߦ߽߆߆ࠊࠄߕޔㇺᏒᄬᬺᲧ₸߇਄᣹ߒߡߒ

(7)

߹߁ޕߘߩᗧ๧ߢߪޔᣂ⥝࡮ㅜ਄࿖ߦ߅ߌࠆੱญߩჇടߪᔅߕߒ߽ᅢ߹ߒߊߥ޿ߎߣࠍ␜ ߒߡ޿ࠆޕ  ᧄⓂߩ᭴ᚑߪએਅߩㅢࠅߢ޽ࠆޕ2 ▵ߢߪࡕ࠺࡞ࠍ⺑᣿ߒߡޔ3 ▵ߢቯᏱ⁁ᘒߦ߅ߌࠆࡑ ࠢࡠ⚻ᷣ᡽╷ߩലᨐࠍಽᨆߔࠆޕ4 ▵ߢߪޔ⍴ᦼߦ߅ߌࠆࡑࠢࡠ⚻ᷣ᡽╷ߩലᨐࠍ᣿ࠄ߆ߦ ߔࠆޕ5 ▵ߢಽᨆ⚿ᨐߣᣂ⥝㨯ㅜ਄࿖⚻ᷣ߳ߩࠗࡦࡊ࡝ࠤ࡯࡚ࠪࡦߦߟ޿ߡᬌ⸛ߒޔ6 ▵ߢ ߪ⚿⺰ߣ੹ᓟߩ⺖㗴ࠍㅀߴࠆޕ 㧞ޔࡕ࠺࡞  ᧄ▵ߢߪࡕ࠺࡞ࠍ⺑᣿ߔࠆޕή㒢ᦼ㑆ߩ 2 ࿖ 2 ⽷ࡕ࠺࡞ߢ޽ࠅޔ⥄࿖㧔H㧕ߣᄖ࿖㧔F㧕 ߢ޽ࠆޕ2 ⽷ߪᎿᬺ㧔M㧕⽷ߣㄘᬺ㧔A㧕⽷ߢ޽ࠅޔฦ࿖ߢߎߩ 2 ⽷ࠍ↢↥ߒߡ޿ࠆޕᧄࡕ ࠺࡞ߩ᭴ㅧߪ Corsetti and Pesenti(2001)ࠍ 2 ⽷ߦ᜛ᒛߒߚ߽ߩߢ޽ࠆޕએਅߢߪޔ㧞㧙㧝 ߢᶖ⾌⠪ࠍޔ㧞㧙㧞ߢ↢↥⠪ࠍޔ㧞㧙㧟ߢ᡽ᐭߣᏒ႐ဋⴧࠍಽᨆߔࠆޕ 㧞㧙㧝 ᶖ⾌⠪

k

(

k H F

=

)

ߩઍ⴫⊛ᶖ⾌⠪ߩല↪㑐ᢙߪᰴߩࠃ߁ߢ޽ࠆߣߔࠆޕ

( )

( )

1

( )

( )

0 t s t s s t s t s

C

k

M

k

U k

P k

r

b

c

r

-¥ + + = +

æ

ö

=

ç

ç

+

÷

÷

ø

å

                  㧔1㧕 ߎߎߢ

( )

t s

P k

+ 㧦

t s

+

ᦼߩ

k

࿖ߩ✚‛ଔᜰᢙ

( )

t s

C

+

k

t s

+

ᦼߩ

k

࿖ߩ✚ᶖ⾌ߢ޽ࠅ

( )

(

H

( )

)

(

F

( )

)

1 t s t s t s

C

+

k

=

C

+

k

g

C

+

k

-g ߐࠄߦ

( )

i t s

C

+

k

t s

+

ᦼߦ

k

࿖ߢᶖ⾌ߐࠇࠆ

i

࿖⽷✚ᶖ⾌ߢ޽ࠅ

( )

(

,

( )

)

(

,

( )

)

1 i i M i A t s t s t s

C

+

k

=

C

+

k

q

C

+

k

-q ߎߎߢ

( )

,iM t s

C

+

k

t s

+

ᦼߩ

i

࿖ߢ↢↥ߐࠇࠆᎿᬺ㧔M㧕⽷ߩ

k

࿖ߢߩᶖ⾌

( )

,iA t s

C

+

k

t s

+

ᦼߩ

i

࿖ߢ↢↥ߐࠇࠆㄘᬺ㧔A㧕⽷ߩ

k

࿖ߢߩᶖ⾌     

(8)



k

(

k H F

=

)

ߩઍ⴫⊛ᶖ⾌⠪߇⋥㕙ߔࠆ⇣ᤨὐ㑆ߩ੍▚೙⚂ߪᰴߩㅢࠅߢ޽ࠆ6ޕ

( )

( )

( )

( ) ( )

,

( )

,

( )

,

( )

,

( )

1 i M i M i A i A t t t t t t t t t i

M k

=

M

-

k

+

SR k

-

P k T k

-

í

ì

é

ë

P

k C

k

+

P

k C

k

ù

û

ü

ý

î

å

þ

          㧔2㧕 ߎߎߢ

( )

t

SR k

k

࿖ߩ

t

ᦼߩ↢↥㗵

( )

,iM t

P

k

t

ᦼߩ

i

࿖ߢ↢↥ߐࠇߚ M ⽷ߩ

k

࿖ߢߩଔᩰ

( )

,iA t

P

k

t

ᦼߩ

i

࿖ߢ↢↥ߐࠇߚ A ⽷ߩ

k

࿖ߢߩଔᩰ ⇣ᤨὐ㑆ߩᦨㆡൻߩ೨ߦޔหᤨὐౝߩ

k

࿖ߢߩ M ⽷ߣ A ⽷߳ߩᦨㆡᶖ⾌㈩ಽࠍ᳞߼ࠆޕ H࿖ߢ↢↥ߐࠇࠆ M ⽷ߣ A ⽷ߩᶖ⾌ߪ

( )

( )

( )

( )

1 , , tH M H M H t H t t

P

k

C

k

C k

P k

q

ö

= ç

ç

÷

÷

è

ø

                      㧔3㧕

( ) (

)

( )

( )

( )

1 , , tH A H A H t H t t

P

k

C

k

C k

P k

q

ö

= - ç

ç

÷

÷

è

ø

                     㧔4㧕 ߎߎߢ

( )

(

)

1 1 ,

( )

,

( )

1 H H M H A t t t

P k

é

q

q

q

-q

ù

-

P

k P

q

k

-q

=

ë

-

û

ߣߥࠆޕห᭽ߦޔF ࿖ߢ↢↥ߐࠇࠆ M ⽷ߣ A ⽷ߩᶖ⾌ߪ

( )

( )

( )

( )

1 , , tF M F M F t F t t

P

k

C

k

C k

P k

q

ö

= ç

ç

÷

÷

è

ø

                       㧔5㧕

( ) (

)

( )

( )

( )

1 , , tF A F A F t F t t

P

k

C

k

C k

P k

q

ö

= - ç

ç

÷

÷

è

ø

                     㧔6㧕 ߎߎߢ

( )

(

)

1 1 ,

( )

,

( )

1 F F M F A t t t

P k

=

é

q

q

-

q

-q

ù

-

P

k P

q

k

-q

ë

û

6 ᧄⓂߢߪ⾗↥ߣߒߡ⽻ᐊߩߺࠍ઒ቯߒߡ޿ࠆޕ࿖㓙᳃㑆⾉୫㧔ௌ೛㧕Ꮢ႐ߪή޿ߣߔࠆℂ ↱ߪએਅߩ 2 ὐߢ޽ࠆޕ߭ߣߟߪᣂ⥝࿖ߢߪ෩ߒ޿⾗ᧄขᒁⷙ೙߿㊄ⲢᏒ႐ߩᧂ⊒㆐࡮ᧂ ᢛ஻ߥߤߦࠃࠅޔ࿖㓙ௌ೛Ꮢ႐ࠍ೑↪ߢ߈ߥ޿ޕ߽߁߭ߣߟߪ Corsetti and Pesenti(2001) ߢߪௌ೛Ꮢ႐ࠍዉ౉ߒߡ޿ࠆ߇ޔဋⴧߢߪௌ೛଻᦭߇࠯ࡠߦߥࠆޕ

(9)

ߣߥࠆޕᰴߦޔ

k

࿖ߢߩ H ࿖⽷ߣ F ࿖⽷ߩᶖ⾌ࠍ᳞߼ࠆߣޔ

( )

( )

( )

( )

1 H t H t t t

P k

C k

C k

P k

g

ö

= ç

ç

÷

÷

è

ø

                         㧔7㧕

( ) (

)

( )

( )

( )

1 F t F t t t

P k

C k

C k

P k

g

ö

= - ç

ç

÷

÷

è

ø

                       㧔8㧕 ߎߎߢ

( )

(

)

1 1 H

( )

F

( )

1 t t t

P k

=

é

g

g

-

g

-g

ù

-

P k P k

g -g

ë

û

 ߎߩᦨㆡᶖ⾌㈩ಽ߆ࠄ

( )

( )

( )

( )

( ) ( )

, , , , i M i M i A i A t t t t t t i

P

k C

k

P

k C

k

P k C k

é

+

ù

=

ë

û

å

ߣߥࠆߩߢޔ⇣ᤨὐ㑆ߩ੍▚೙⚂㧔2㧕ߪ

( )

1

( )

( )

( ) ( )

( ) ( )

t t t t t t t

M k

=

M

-

k

+

SR k

-

P k T k

-

P k C k

             㧔9㧕 ߣߥࠆޕߒߚ߇ߞߡޔᶖ⾌⠪ߩᦨㆡൻ໧㗴ߪ㧔9㧕ߩ೙⚂ߩਅߢല↪㑐ᢙ㧔1㧕ࠍᦨᄢൻߔ ࠆޕߎߩᦨㆡൻⴕേ߆ࠄ

( )

( )

( )

11

( )

( )

t t t t t

C k

C

k

M k

P k

P k

r r

b

c

- + -+

=

-

                       㧔10㧕 ߇ᓧࠄࠇࠆޕ  M ⽷ߣ A ⽷ߩ࿖ኅ㑆ߩ⒖േߪ⥄↱ߢ޽ࠆޕߒߚ߇ߞߡޔM ⽷ߣ A ⽷ߩଔᩰߦ㑐ߒߡޔ৻ ‛৻ଔ߇ᚑ┙ߔࠆޕߟ߹ࠅޔM ⽷ߦߟ޿ߡ

( )

( )

, , H M H M t t t

P

H

=

E P

F

                           㧔11㧕

( )

,

( )

, tF M F M t t

P

H

P

F

E

=

                            㧔12㧕 ߣߥࠅޔA ⽷ߦߟ޿ߡ

( )

( )

, , H A H A t t t

P

H

=

E P

F

                           㧔13㧕

( )

,

( )

, tF A F A t t

P

H

P

F

E

=

                            㧔14㧕 ߎߎߢ     

(10)

t

E

㧦H ࿖ㅢ⽻ᑪߡฬ⋡ὑᦧ࡟࡯࠻ ߢ޽ࠆޕ㧔11㧕㨪㧔14㧕ࠃࠅޔH ࿖⽷‛ଔߣ F ࿖⽷‛ଔߦߟ޿ߡ

( )

( )

H H t t t

P H

=

E P F

                            㧔15㧕

( )

tF

( )

F t t

P H

P F

E

=

                             㧔16㧕 ߇ᚑ┙ߔࠆޕࠃߞߡޔ

( )

( )

t t t

P H

=

E P F

                             㧔17㧕 ߟ߹ࠅ⾼⾈ജᐔଔ᧦ઙ߇ᚑ┙ߔࠆޕ 㧞㧙㧞 ↢↥⠪ 

k

࿖ߩᎿᬺㇱ㐷ߣㄘᬺㇱ㐷ߩ↢↥ᛛⴚߪⷙᮨߦ㑐ߒߡ෼ⓠ৻ቯߢ޽ࠆߣߔࠆޕ↢↥ⷐ⚛ߪ ഭ௛ߩߺߢ޽ࠆߩߢޔ↥಴㊂ߣഭ௛㓹↪㊂ߪ╬ߒߊߥࠆޕߎߩߣ߈ޔ೑Ả࠯ࡠ᧦ઙࠃࠅޔ ଔᩰߣ⾓㊄ߪ╬ߒߊߥࠆޕߟ߹ࠅޔ

( )

( )

, H M M t t

P

H

=

w H

                            㧔18㧕

( )

( )

, H A A t t

P

H

=

w H

                             㧔19㧕

( )

( )

, F M M t t

P

F

=

w F

                             㧔20㧕

( )

( )

, F A A t t

P

F

=

w F

                             㧔21㧕 ߎߎߢ⥄࿖ߣᄖ࿖ߩᎿᬺㇱ㐷ߩ⾓㊄ߪᦨૐ⾓㊄

w H

tM

( )

ޔ

w F

tM

( )

ߦ࿕ቯߐࠇߡ޿ࠆ7ޕ  ㇺᏒߣㄘ᧛ߩ㑆ߩഭ௛⒖േߦ㑐ߒߡޔࡂ࡝ࠬ࡮࠻࠳ࡠ࡯ߩ઒ቯࠍዉ౉ߔࠆޕㄘᬺ⾓㊄ߪ ᦼᓙㇺᏒ⾓㊄ߣ╬ߒߊߥࠆޕߒߚ߇ߞߡޔࡂ࡝ࠬ࡮࠻࠳ࡠ࡯᧦ઙߪ

( )

tM

( )

( ) ( )

tM

( )

A t A t t

w k y k

w k

l k

y k

=

-

                           㧔22㧕 ߎߎߢޔ↥಴㊂ߣഭ௛㊂߇╬ߒ޿ߎߣߦᵈᗧߒߡޔഭ௛ߩ೙⚂᧦ઙߪ

( )

A

( )

M

( )

u

( )

t t t t

l k

=

y k

+

y k

+

l k

ߎߎߢ

(11)

( )

u t

l k

㧦ㇺᏒᄬᬺ⠪ ߢ޽ࠆޕߎߎߢ㧔22㧕ࠍᄌᒻߔࠆߣ

( )

tM

( )

( )

A t t

w k

w k

z k

=

+

                             㧔23㧕 ߎߎߢ

( )

tu

( )

( )

t M t

l k

z k

y k

=

㧦ㇺᏒᄬᬺᲧ₸ ߢ޽ࠆޕ 㧞㧙㧟 ᡽ᐭߣ⽷Ꮢ႐ဋⴧ᧦ઙ  H ࿖᡽ᐭߩ੍▚೙⚂ߪ

( )

( )

( ) ( )

,

( )

,

( )

,

( )

,

( )

1 H M H M H A H A t t t t t t t t

M H

-

M

-

H

+

P H T H

=

P

H G

H

+

P

H G

H

            㧔24㧕 ߣߥࠅޔห᭽ߦ F ࿖᡽ᐭߩ੍▚೙⚂ߪ

( )

( )

( ) ( )

,

( )

,

( )

,

( )

,

( )

1 F M F M F A F A t t t t t t t t

M F

-

M

-

F

+

P F T F

=

P

F G

F

+

P

F G

F

                                      㧔25㧕 ߎߎߢ

( )

, k M t

G

k

k

࿖ߢ↢↥ߐࠇࠆᎿᬺຠ߳ߩ

k

࿖᡽ᐭᡰ಴

( )

, k A t

G

k

k

࿖ߢ↢↥ߐࠇࠆㄘᬺຠ߳ߩ

k

࿖᡽ᐭᡰ಴ ߟ߹ࠅޔฦ࿖᡽ᐭߪޔ⥄࿖ߢ↢↥ߐࠇࠆ⽷ߦߩߺᡰ಴ߔࠆޕ  ᰴߦ⽷Ꮢ႐ဋⴧ᧦ઙߦߟ޿ߡޔH ࿖ߢߪᎿᬺຠޔㄘᬺຠߘࠇߙࠇ

( )

,

( )

,

( )

,

( )

M H M H M H M t t t t

y H

=

C

H

+

C

F

+

G

H

               㧔26㧕

( )

,

( )

,

( )

,

( )

A H A H A H A t t t t

y H

=

C

H

+

C

F

+

G

H

                㧔27㧕 ߣߥࠆޕห᭽ߦ F ࿖ߢߪ

( )

,

( )

,

( )

,

( )

M F M F M F M t t t t

y F

=

C

H

+

C

F

+

G

F

               㧔28㧕     

(12)

( )

,

( )

,

( )

,

( )

A F A F A F A t t t t

y F

=

C

H

+

C

F

+

G

F

                㧔29㧕 ߣߥࠆޕ 㧟 ቯᏱ⁁ᘒߦ߅ߌࠆࡑࠢࡠ⚻ᷣ᡽╷ޔੱญჇടߣᦨૐ⾓㊄ߩലᨐ  એਅߢߪޔ೨▵ߩࡕ࠺࡞ࠍ⸃޿ߡ޿ߊޕᧄⓂߢߪࡑࠢࡠ⚻ᷣ᡽╷ߦߟ޿ߡޔ੍ᦼߖߑࠆ ᕡਭ⊛ߥ㊄Ⲣ᡽╷࡮⽷᡽᡽╷ߩᄌൻߩലᨐࠍಽᨆߔࠆޕ⥄࿖ߣᄖ࿖ߪኻ⒓⊛ߢ޽ࠆߩߢޔ ⥄࿖ߩലᨐߦಽᨆߩὶὐࠍวࠊߖࠆޕ ⚻ᷣߪᒰೋߩቯᏱ⁁ᘒ߆ࠄᆎ߹ࠆߣߒߡޔߘߩᄌᢙࠍ

X

0ߣਅઃ߈ߩ 0 ߢ⴫ߔޕᰴߦ᡽╷ ᄌൻᓟߩᣂߒ޿ቯᏱ⁁ᘒߪ

X

ߣ਄ઃ߈ߩࡃ࡯ᄌᢙߢ⴫ߔޕ⍴ᦼᄌᢙߦߪ૗ߩශ߽ઃ߆ߥ޿ ߣߔࠆޕᧄ⺰ߢ⍴ᦼߣߪㄘᬺㇱ㐷ߩ⾓㊄߇৻ቯߩᦼ㑆ߢ޽ࠅޔ1 ᦼ㑆ߩߺߢ޽ࠆߣߔࠆޕᧄ ▵ߢߪޔቯᏱ⁁ᘒޔߟ߹ࠅ㐳ᦼߦ߅ߌࠆ᡽╷ᄌൻߩലᨐࠍ᣿ࠄ߆ߦߒߡ޿ߊޕ᡽╷ᄌൻߩ ലᨐߪᄌൻ₸ࠍขࠆߎߣߢ᣿ࠄ߆ߦߔࠆޕᄌൻ₸ߪ

X

ߢ⴫ࠊߔߣߔࠆޕ  ߥ߅ޔ⴫⃻ߩ◲ଢᴺߣߒߡ

( )

( ) ( )

1

X W

=

X H X F

g -g     

( )

( )

( )

X H

X R

X F

=

ࠍ↪޿ࠆޕ  ᡽╷ലᨐࠍ⷗ࠆ೨ߦޔࡄ࡜ࡔ࡯࠲

r

ߦߟ޿ߡ⺑᣿ߔࠆޕએਅߩ᡽╷ലᨐߩᱜ⽶ࠍ⺞ߴࠆ 㓙ޔ

r

߇㧝ࠃࠅᄢ߈޿߇ዊߐ޿߆߇᳿ቯ⊛ߦ㊀ⷐߛ߆ࠄߢ޽ࠆޕએਅߢߪޔ޽ࠆ⽷ߩ㒢⇇ ല↪߇ઁߩ⽷ߩᶖ⾌㊂ߩჇടߦࠃࠅ਄᣹ߔࠆ߆ޔૐਅߔࠆ߆ߣ޿߁᭎ᔨࠍ↪޿ࠆޕߟ߹ࠅޔ ⵬ቢᕈߣઍᦧᕈߣ޿߁᭎ᔨߣ

r

ߩ㑐ଥࠍߺߡ޿ߊޕ ᧄࡕ࠺࡞ߢߪ⥄࿖⽷ߣᄖ࿖⽷߇޽ࠅޔ ߹ߚߘࠇߙࠇߩ࿖ౝߦㄘᬺຠߣᎿᬺຠߣ޿߁ 2 ⒳㘃ߩ⽷߇޽ࠆޕᦨೋߦޔ⥄࿖ߦ߅޿ߡ⥄ ࿖⽷ߩ㒢⇇ല↪߇ᄖ࿖⽷ߩᄌൻߦࠃࠅߤߩࠃ߁ߦߥࠆ߆ࠍ⺞ߴࠆߣޔ

( )

( )

(

)(

)

1 F F t t

MU MU

C H C H

h

g

r

=

= -

-ߣߥࠆޔᰴߦޔ⥄࿖ߦ߅޿ߡޔ⥄࿖Ꮏᬺຠߩ㒢⇇ല↪߇⥄࿖ㄘ↥ຠߩᄌൻߦࠃࠅߤߩࠃ߁ ߦᄌൻߔࠆ߆ࠍ⺞ߴࠆߣޔ

( )

( )

(

)(

)

2 H A, H A, t t

MU MU

C

H C

H

h

g

q

r

=

=

-

-ߣߥࠆޕ

(13)

 ߎߩ 2 ߟߩᑼ߆ࠄޔ

r >

ߩߣ߈ޔ

h

1ߣ

h

2ߪ⽶ߣߥࠅޔ⥄࿖⽷ߣᄖ࿖⽷ޔ৻࿖ౝߩᎿᬺ ຠߣㄘᬺຠߪઍᦧᕈࠍᜬߟߣ޿߁ޕㅒߦ

r <

ߩߣ߈ޔ

h

h

2ߪᱜߣߥࠅޔ⥄࿖⽷ߣᄖ࿖ ⽷ޔ৻࿖ౝߩᎿᬺຠߣㄘᬺຠߪ⵬ቢᕈࠍᜬߟߣ޿߁ޕ ᦨೋߦὑᦧ࡟࡯࠻ߩᄌൻ₸ࠍ᳞߼ࠆߣ

( )

E M R

=

                                 㧔30㧕 ߣߥࠆޕ⥄࿖ߩ㊄Ⲣ✭๺ߪ⥄࿖ߩὑᦧ࡟࡯࠻ࠍᷫଔߐߖࠆޕᄖ࿖ߩ㊄Ⲣ✭๺ߪ⥄࿖ὑᦧ࡟ ࡯࠻ࠍჇଔߐߖࠆޕ  ᰴߦޔ⥄࿖ߩㄘᬺㇱ㐷ߦ෸߷ߔലᨐࠍߺࠆޕ

( )

(

)(

)(

) ( ) ( )( )( ) ( ) ( ) ( )

(

)(

)(

)

( ) (

)(

)(

) ( )

(

)(

) ( )

(

)(

) ( )

, H A M

P

H

l H

l F

w W

b

b

b

H

F

M H

b

b

b

M F

b

r

r

g

q

r

g

q

q

r

r

g

q

r

r

g

q

q r

g

q r

g

-

-

-

-

-

-

-

-=

+

+

-

-

- -

-

-

-

+

-

--

-+

                                      㧔31㧕 ߣߥࠆޕߎߎߢ

(

)(

)

b

=

r

-

- - <

q

r

( )

M

( ) (

) ( )

A

g k

=

q

g

k

+ -

q

g k

8

( ) ( )

M

( )

( )

( )

( )

A

H

A M

y H

l H

H

H

H

q

=

-

                㧔32㧕 㧔31㧕ޔ㧔32㧕ᑼࠃࠅޔ⥄࿖ߩ㊄Ⲣ✭๺╷ߪޔ⥄࿖ㄘᬺຠଔᩰࠍ਄᣹ߐߖࠆ߇ޔ⥄࿖ㄘᬺ ↥಴㊂ߦߪᓇ㗀ࠍ෸߷ߐߥ޿ߎߣ߇ಽ߆ࠆޕ⥄࿖᡽ᐭߦࠃࠆㄘ↥ຠᡰ಴ߩჇടߪㄘᬺຠଔ ᩰࠍ਄᣹ߐߖߡޔㄘᬺ↥಴㊂ࠍჇടߐߖࠆޕ⥄࿖ߩᎿᬺຠ߳ߩ᡽ᐭᡰ಴ߩჇടߪㄘᬺຠଔ ᩰࠍ਄᣹ߐߖߡޔㄘᬺ↥಴㊂ࠍᷫዋߐߖࠆߎߣ߇ಽ߆ࠆޕ⥄࿖ߩ✚ഭ௛ߩჇടߪ⥄࿖ㄘᬺ ຠଔᩰࠍૐਅߐߖߡޔㄘᬺ↥಴㊂ࠍჇടߐߖࠆޕ 㧔31㧕ޔ㧔32㧕ᑼࠃࠅޔ⥄࿖ߣᄖ࿖ߩᦨૐ⾓㊄ߩჇട߿ᄖ࿖ߩ✚ഭ௛ߩᄌൻ߿ࡑࠢࡠ⚻ᷣ ᡽╷ߩലᨐߪㄘᬺຠଔᩰߦᓇ㗀ࠍ෸߷ߔߩߺߢޔㄘᬺ↥಴㊂ߦߪ૗ߩലᨐ߽ߥ޿ޕߘߒߡޔ ߎࠇࠄߩᄌൻ߇ㄘᬺຠଔᩰߦ෸߷ߔലᨐߪ

r

ߩᄢ߈ߐߦଐሽߔࠆޕ⥄࿖⽷ߣᄖ࿖⽷ޔㄘᬺ ຠߣᎿᬺຠ߇ઍᦧᕈࠍ߽ߟ㧔

r >

㧕ߣ߈ޔ⥄࿖ߣᄖ࿖ߩᦨૐ⾓㊄ߩ਄᣹ޔᄖ࿖ߩ᜛ᄢ⊛ߥ 8 એਅߢߪ․ߦຠ⋡ߦ⸅ࠇߡ޿ߥ޿᡽ᐭᡰ಴ߩჇടߪ

g

M

( )

k

߆

g k

A

( )

ߩߤߜࠄ߆ߩჇട ߦࠃࠅ

g k

( )

߇Ⴧടߒߚߎߣࠍᜰߔޕ     

(14)

⽷᡽᡽╷ߪ⥄࿖ㄘᬺຠଔᩰࠍჇടߐߖࠆޕߒ߆ߒޔᄖ࿖ߩ㊄Ⲣ✭๺ߣᄖ࿖ߩ✚ഭ௛ߩჇട ߪޔ⥄࿖ㄘᬺຠଔᩰࠍૐਅߐߖࠆޕߘࠇߪޔ⥄࿖⽷ߣᄖ࿖⽷ޔㄘᬺຠߣᎿᬺຠ߇ઍᦧᕈࠍ ߽ߟߣ߈ޔ⥄࿖ߩᦨૐ⾓㊄ߩ਄᣹ߪ⥄࿖ߩᶖ⾌ࠍㄘ↥ຠߦࠪࡈ࠻ߐߖޔᄖ࿖ߩᦨૐ⾓㊄ߩ ਄᣹ߣᄖ࿖ߩ᜛ᄢ⊛ߥ⽷᡽᡽╷ߪᶖ⾌ࠍ⥄࿖ߦࠪࡈ࠻ߐߖࠆߚ߼ޔߘࠇࠄߩലᨐߪ⥄࿖ߩ ㄘᬺຠଔᩰࠍჇടߐߖࠆޕ৻ᣇޔᄖ࿖ߩ㊄Ⲣ✭๺ߣᄖ࿖ߩ✚ഭ௛ߩჇടߪᶖ⾌ࠍᄖ࿖⽷߳ ࠪࡈ࠻ߐߖࠆߚ߼ޔ⥄࿖ㄘᬺຠଔᩰࠍૐਅߐߖࠆޕㅒߦ⥄࿖⽷ߣᄖ࿖⽷ޔㄘᬺຠߣᎿᬺຠ ߇⵬ቢᕈࠍ߽ߟ㧔

r <

㧕ߣ߈ޔ⥄࿖ߣᄖ࿖ߩᦨૐ⾓㊄ߩ਄᣹ޔᄖ࿖ߩ㊄Ⲣ✭๺ߣ᜛ᄢ⊛ߥ ⽷᡽᡽╷ߪ⥄࿖ㄘᬺຠଔᩰࠍᷫዋߐߖࠆޕߛ߇ޔᄖ࿖ߩ✚ഭ௛ߩჇടߪ⥄࿖ㄘᬺຠଔᩰࠍ ਄᣹ߐߖࠆޕ  ᰴߦㇺᏒㇱ㐷ߦ෸߷ߔᓇ㗀ࠍߺࠆޕ

( ) (

)(

) ( )

(

)

(

)

( ) (

)(

) ( )

(

)(

)(

)

( ) (

) ( )

( )

( ) (

( )

)(

)

( )

(

)(

)(

) ( )

(

)(

) ( ) ( )( ) ( )

2 M M M M A M A

y

H

l W

w H

w F

b

b

b

H

b

H

H

H

b H

b H

F

M H

M F

b

b

b

r

r

q

g

r

q

q

r

g

r

q

g

r q

q

g r

q

r

g

q

q r

g

q r

g

-

-

é

-

-

ù

-

-

ë

û

-

-=

+

+

-

-

- -

+

ù

-

û

--

-

-

+

-

-

-

-+

-

+

                                      㧔33㧕

( )

( ) ( )

(

)(

)(

) ( ) ( )( )( ) ( )

(

)

(

)

( ) (

)(

) ( ) ( )( )( ) ( )

(

)(

)(

) ( )

(

)(

) ( ) ( )( ) ( )

M M

z H

z H

l H

l F

z H

b

b

w H

w F

H

b

b

b

F

M H

M F

b

b

b

r

r

g

q

r

g

q

r

q

g

r

q

r

g

r

g

q

r

r

g

q

q r

g

q r

g

-

-

-

-

-

-

-= -

-+

-

é

ë

-

-

ù

û

-

-

-

-

-

-+

--

-

-

+

-

-

-

--

+

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 㧔34㧕  㧔33㧕ޔ㧔34㧕ᑼ߆ࠄޔ⥄࿖ߩ㊄Ⲣ✭๺ߪ⥄࿖ߩᎿᬺຠ↥಴㊂ࠍჇടߐߖޔ⥄࿖ߩㇺᏒᄬ ᬺᲧ₸ࠍᷫዋߐߖࠆߎߣ߇ಽ߆ࠆޕ⥄࿖᡽ᐭߦࠃࠆᎿᬺຠᡰ಴ߩჇടߪޔᎿᬺຠ↥಴㊂ࠍ ჇടߐߖޔㇺᏒᄬᬺᲧ₸ࠍᷫዋߐߖࠆޕ⥄࿖᡽ᐭߩㄘᬺຠᡰ಴ߩჇടߪޔㇺᏒᄬᬺᲧ₸ࠍ ૐਅߐߖࠆ߇ޔᎿᬺຠ↥಴㊂߳ߩᓇ㗀ߪ

r

ߩᄢዊߦଐሽߒߡޔ⥄࿖⽷ߣᄖ࿖⽷ޔㄘᬺຠߣ Ꮏᬺຠ߇ઍᦧᕈࠍ߽ߟ㧔

r >

㧕ߣ߈ߪޔᎿᬺຠ↥಴㊂ࠍჇടߐߖࠆޕ⥄࿖ߩ✚ഭ௛ߩჇട ߪㇺᏒᄬᬺᲧ₸ࠍ਄᣹ߐߖࠆ߇ޔᎿᬺຠ↥಴㊂ߦ෸߷ߔലᨐߪ

r

ߦଐሽߔࠆޕ

r >

ߩߣ߈ ߪޔᎿᬺຠ↥಴㊂ߪᷫዋߔࠆޕ⥄࿖ߩᦨૐ⾓㊄ߩ਄᣹ߪᎿᬺຠ↥಴㊂ࠍᷫዋߐߖߡޔㇺᏒ ᄬᬺᲧ₸ࠍ਄᣹ߐߖࠆޕ  ᄖ࿖ߩࡑࠢࡠ⚻ᷣ᡽╷ޔ✚ഭ௛ߩჇടߣᦨૐ⾓㊄਄᣹ߩലᨐߪߔߴߡ

r

ߩᄢዊߦଐሽߔ ࠆޕએਅߢߪ

r >

ߩߣ߈ࠍ⠨߃ࠆޕᄖ࿖ߩ㊄Ⲣ✭๺ߪ⥄࿖ߩᎿᬺຠ↥಴㊂ࠍᷫዋߐߖߡޔ ⥄࿖ߩㇺᏒᄬᬺᲧ₸ࠍჇടߐߖࠆޕᄖ࿖ߩ᜛ᄢ⊛ߥ⽷᡽᡽╷ߪᎿᬺຠ↥಴㊂ࠍჇടߐߖߡޔ

(15)

ㇺᏒᄬᬺᲧ₸ࠍᷫዋߐߖࠆޕᄖ࿖ߩ✚ഭ௛ߩჇടߪᎿᬺຠ↥಴㊂ࠍᷫዋߐߖߡޔㇺᏒᄬᬺ Ყ₸ࠍ਄᣹ߐߖࠆޕᄖ࿖ߩᦨૐ⾓㊄ߩ਄᣹ߪᎿᬺຠ↥಴㊂ࠍჇടߐߖߡޔㇺᏒᄬᬺᲧ₸ࠍ ᷫዋߐߖࠆޕ  ⥄࿖ߩ‛ଔ᳓Ḱߣ✚ᶖ⾌ߦਈ߃ࠆᓇ㗀ߪએਅߩㅢࠅߢ޽ࠆޕ

( )

(

) ( )

M

( )

(

) ( ) ( ) ( ) ( ) ( ) ( )

P H

l W

w W

W

M H

M F

b

b

b

b

b

r

-

q

qr

r

-

q

- +

q

rq

-

g

qr

-

g

=

-

-

-

+

                                      㧔35㧕

( )

( )

M

( )

( )

( )

C H

l W

w W

W

M W

b

b

b

b

q

q

q

q

-

-= -

+

+

-

           㧔36㧕 㧔35㧕ޔ㧔36㧕ᑼ߆ࠄޔ⥄࿖ߩ㊄Ⲣ✭๺ߪ⥄࿖ߩ‛ଔ᳓Ḱࠍ਄᣹ߐߖߡޔ⥄࿖ߩ✚ᶖ⾌ࠍჇ ടߐߖࠆޕ⥄࿖ߩ᜛ᄢ⊛ߥ⽷᡽᡽╷ߪޔ⥄࿖ߩ‛ଔ᳓Ḱࠍ਄᣹ߐߖߡޔ✚ᶖ⾌ࠍᷫዋߐߖ ࠆޕ⥄࿖ߩ✚ഭ௛ߩჇടߪ‛ଔ᳓Ḱࠍૐਅߐߖߡޔ✚ᶖ⾌ࠍ਄᣹ߐߖࠆޕ⥄࿖ߩᦨૐ⾓㊄ ߩ਄᣹ߪ‛ଔ᳓ḰࠍჇടߐߖߡޔ✚ᶖ⾌ࠍᷫዋߐߖࠆޕ߹ߚޔߎࠇࠄ 2 ߟߩᑼ߆ࠄޔᄖ࿖ ߩᄌᢙߩᄌൻߩᓇ㗀ߪ⥄࿖ߩ႐วࠍหߓߢ޽ࠆߎߣ߽ಽ߆ࠆ  ᦨᓟߦޔ੤ᤃ᧦ઙߦ෸߷ߔᓇ㗀ߪએਅߩㅢࠅߢ޽ࠆޕ

( )

( ) (

) ( )

( ) (

) ( )

( )

H F M

P H

- -

E P F

=

q

-

l R

-

q

w R

+ -

q

R

-

q

M R

      㧔37㧕 ⥄࿖ߩ㊄Ⲣ✭๺ߪ੤ᤃ᧦ઙࠍᖡൻߐߖޔ⥄࿖ߩ⽷᡽᜛ᄢߪ੤ᤃ᧦ઙࠍᡷༀߐߖࠆޕ⥄࿖ߩ ✚ഭ௛ߩჇടߪ੤ᤃ᧦ઙࠍᡷༀߐߖߡޔ⥄࿖ߩᦨૐ⾓㊄ߩ਄᣹ߪ⥄࿖ߩ੤ᤃ᧦ઙࠍᖡൻߐ ߖࠆޕ㧔37㧕ᑼ߆ࠄޔᄖ࿖ߩᄌᢙ߇෸߷ߔലᨐߪ⥄࿖ߩ႐วߣㅒߦߥࠆߎߣࠍ␜ߒߡ޿ࠆޕ 㧠 ⍴ᦼߦ߅ߌࠆࡑࠢࡠ⚻ᷣ᡽╷ޔੱญჇടߣᦨૐ⾓㊄਄᣹ߩലᨐ  ೨▵ߢߪቯᏱ⁁ᘒߟ߹ࠅ㐳ᦼߦ߅ߌࠆ⚻ᷣ᡽╷ߩലᨐࠍಽᨆߒߚޕᧄ▵ߢߪ⍴ᦼߦ߅ߌ ࠆ⚻ᷣ᡽╷ߩലᨐࠍಽᨆߔࠆޕᧄ▵ߢ߽⥄࿖ߣᄖ࿖ߪኻ⒓⊛ߢ޽ࠆߩߢޔ⥄࿖ߩലᨐߦಽ ᨆߩὶὐࠍวࠊߖࠆޕ ೨▵ߢ߽ㅀߴߚ߇ޔ⍴ᦼߣߪ⥄࿖ߣᄖ࿖ߩㄘᬺㇱ㐷ߩ⾓㊄߇৻ቯߢ޽ࠆᦼ㑆ߢ޽ࠆޕߎ ߎߢޔ⾓㊄߇৻ቯߢ޽ࠆᦼ㑆ߪ 1 ᦼ㑆ߩߺߢ޽ࠅޔ1 ᦼ㑆ᓟߦߪ⾓㊄ߪቯᏱ⁁ᘒߦ⺞ᢛߐࠇ ࠆߣߔࠆޕᧄ▵ߢ߽᡽╷ലᨐߪᄌൻ₸

X

ߢ᷹ࠆޕ

( )

E E M R

= =

㊄Ⲣ᡽╷ߩᄌൻߪᕡਭ⊛ߢ޽ࠆߚ߼ޔὑᦧ࡟࡯࠻ߩᄌൻߪ⍴ᦼߣ㐳ᦼߢหߓߦߥࠆޕ  ᰴߦㄘᬺㇱ㐷ߩᓇ㗀ࠍߺࠆޕ

( )

(

) ( ) ( )

(

) ( ) ( )( ) ( )

A A

y H

l H

H

M H

M F

b

qr

q

r g r

g

r

r

r

+ -

-

-

-

-= -

+

+

 㧔38㧕 㧔38㧕ᑼ߆ࠄ⍴ᦼߩ႐วߪޔ㐳ᦼߣ⇣ߥࠅޔ㊄Ⲣ᡽╷߽᦭ലߢ޽ࠆߎߣ߇ಽ߆ࠆޕ⥄࿖ߩ     

(16)

㊄Ⲣ✭๺ߣ⥄࿖᡽ᐭߦࠃࠆㄘ↥ຠᡰ಴ߩჇടߪㄘᬺຠ↥಴㊂ࠍჇടߐߖࠆޕ㐳ᦼߩ႐วߣ ⇣ߥࠅޔ⥄࿖᡽ᐭߩᎿᬺຠᡰ಴ߩჇടߪޔㄘᬺຠ↥಴㊂ߦ૗ߩലᨐ߽ߥ޿ޕ⥄࿖ߩ✚ഭ௛ ߩჇടߪㄘ↥ຠ↥಴㊂ࠍჇടߐߖࠆޕ⥄࿖ߩᦨૐ⾓㊄ߪㄘᬺຠ↥಴㊂ߦ૗ߩലᨐ߽ߥ޿ޕ  ᄖ࿖ߩ㊄Ⲣ✭๺߇෸߷ߔᓇ㗀ߪ

r

ߦଐሽߒߡ޿ࠆޕ⥄࿖⽷ߣᄖ࿖⽷ޔㄘᬺຠߣᎿᬺຠ߇ ઍᦧᕈࠍ߽ߟ㧔

r >

㧕ߣ߈ޔᄖ࿖ߩ㊄Ⲣ✭๺ߪ⥄࿖ߩㄘ↥ຠ↥಴㊂ࠍᷫዋߐߖࠆޕ  ㇺᏒㇱ㐷ߩᓇ㗀ࠍߺߡ޿ߊޕ

( ) (

)(

) ( )

(

)(

) ( ) ( )( ) ( )

( )

(

) ( ) ( )( ) ( )

M M M M

y

H

l W

w H

w F

b

b

b

H

M H

M F

r

q

q

g

r

q

r

g

r g r

r

g

r

r

-

-

-

-

-

-

-=

+

+

-

-

-

-+

+

                                      㧔39㧕

( )

( ) ( )

M

( )

z k

z k

w k

z k

=

+

                           㧔40㧕  㧔39㧕ࠃࠅޔ⥄࿖ߩ㊄Ⲣ✭๺ߪᎿᬺຠ↥಴㊂ࠍჇടߐߖࠆޕߒ߆ߒޔ᜛ᄢ⊛ߥ⽷᡽᡽╷ ߪ૗ߩലᨐ߽ߥ޿ߎߣ߇ಽ߆ࠆޕ⥄࿖ߩ✚ഭ௛ߩჇട߇Ꮏᬺຠ↥಴㊂ߦ෸߷ߔലᨐߪ

r

ߩ ᄢ߈ߐߦଐሽߒߡ޿ࠆޕ⥄࿖⽷ߣᄖ࿖⽷ޔㄘᬺຠߣᎿᬺຠ߇ઍᦧᕈࠍ߽ߟ㧔

r >

㧕ߣ߈ޔ ⥄࿖ߩ✚ഭ௛ߩჇടߪᎿᬺຠ↥಴㊂ࠍૐਅߐߖࠆޕ⥄࿖ߩᦨૐ⾓㊄ߩ਄᣹ߪᎿᬺຠ↥಴㊂ ࠍᷫዋߐߖࠆޕ  ᄖ࿖ߩᄌᢙߩലᨐߪߔߴߡ

r

ߦଐሽߒߡ޿ࠆޕ

r >

ߩߣ߈ޔᄖ࿖ߩ㊄Ⲣ✭๺ߣᄖ࿖ߩ✚ ഭ௛ߩჇടߪ⥄࿖ߩᎿᬺຠ↥಴㊂ࠍᷫዋߐߖߡޔᄖ࿖ߩᦨૐ⾓㊄ߩ਄᣹ߪ⥄࿖ߩᎿᬺຠ↥ ಴㊂ࠍჇടߐߖࠆޕ  㧔40㧕ࠃࠅޔ⥄࿖ߩㇺᏒᄬᬺᲧ₸ߪ⥄࿖ߩᦨૐ⾓㊄ߦߩߺଐሽߒߡ޿ߡޔ⥄࿖ߩᦨૐ⾓ ㊄ߩ਄᣹ߪㇺᏒᄬᬺᲧ₸ࠍ਄᣹ߐߖࠆޕ  ✚ᶖ⾌ߦ෸߷ߔലᨐߪ

( )

( )

M

( )

( )

C H

l W

w W

M W

b

b

q

q

r

-= -

+

+

                 㧔41㧕 ߣߥࠆޕ⥄࿖ߩ㊄Ⲣ✭๺ߣ⥄࿖ߩ✚ഭ௛ߩჇടߪ✚ᶖ⾌ࠍჇടߐߖߡޔ⥄࿖ߩᦨૐ⾓㊄ߩ ਄᣹ߪ✚ᶖ⾌ࠍᷫዋߐߖࠆޕ㧔41㧕ᑼ߆ࠄޔᄖ࿖ߩᄌᢙߩലᨐߪ⥄࿖ߩ႐วߣหߓߦߥࠆߎ ߣ߇ಽ߆ࠆޕ  ⥄࿖ߩ੤ᤃ᧦ઙߦ෸߷ߔലᨐߪ

( )

( ) (

) ( )

( )

( )

H F M

P H

- -

E P F

=

q

-

l R

-

q

w R

-

M R

             㧔42㧕 ߣߥࠆޕ⥄࿖ߩ㊄Ⲣ✭๺ߣᦨૐ⾓㊄ߩ਄᣹ߪ⥄࿖ߩ੤ᤃ᧦ઙࠍᖡൻߐߖޔ⥄࿖ߩ✚ഭ௛ߩ Ⴧടߪ੤ᤃ᧦ઙࠍᡷༀߔࠆޕ㧔42㧕ᑼ߆ࠄޔᄖ࿖ߩലᨐߪ⥄࿖ߩ႐วߣㅒߦߥࠆߎߣ߇ಽ߆ ࠆޕ

(17)

㧡 ࡕ࠺࡞ಽᨆߩ⚿ᨐߣ⃻ታߩ⚻ᷣ߳ߩࠗࡦࡊ࡝ࠤ࡯࡚ࠪࡦ  ᧄ▵ߢߪ 3 ▵ޔ4 ▵ߩ⚿ᨐߣ⃻ታߩേ߈ࠍᲧセߔࠆߎߣߢޔߎߩࡕ࠺࡞ಽᨆߩ⚿ᨐ߆ࠄዉ ಴ߐࠇࠆࠗࡦࡊ࡝ࠤ࡯࡚ࠪࡦߦߟ޿ߡㅀߴࠆޕ  ⥄࿖ߩ᜛ᄢ⊛ߥࡑࠢࡠ᡽╷ߪ⥄࿖ߩㇺᏒᄬᬺᲧ₸ߩᡷༀߦነਈߒߡ޿ࠆߎߣ߇ಽ߆ࠆޕ ᣂ⥝࡮ㅜ਄࿖᡽ᐭ߇৻⥸ߦㇺᏒߩᄬᬺ₸ߩᡷༀࠍ⋡⊛ߣߒߡ᜛ᄢ⊛ߥࡑࠢࡠ᡽╷ࠍታᣉߔ ࠆߎߣߪᄙޘ޽ࠅޔߎߩࡕ࠺࡞ಽᨆߩ⚿ᨐ߽ߘࠇࠍⵣઃߌࠆ߽ߩߢ޽ࠆޕ  ⥄࿖ߩ✚ഭ௛ߩჇടߪ㧔33㧕ޔ㧔34㧕ࠃࠅㄘ᧛ㇱ㐷ߩ㓹↪ࠍჇടߐߖࠆ߇ޔ㐳ᦼߩㇺᏒᄬ ᬺᲧ₸ߪᖡൻߒߡߒ߹߁ޕᎿᬺㇱ㐷ߩ㓹↪ߦ෸߷ߔᓇ㗀ߪ৻ᗧߦ᳿ቯߢ߈ߥ޿ޕ႐วߦࠃ ߞߡߪޔߟ߹ࠅޔ⥄࿖⽷ߣᄖ࿖⽷ޔㄘᬺຠߣᎿᬺຠ߇⵬ቢᕈࠍ߽ߟߣ߈ޔᎿᬺㇱ㐷ߩ㓹↪ ߇Ⴧടߒߚߦ߽߆߆ࠊࠄߕޔㇺᏒᄬᬺᲧ₸߇ᖡൻߔࠆ႐ว߽޽ࠆޕߎߩ⚿ᨐ߆ࠄޔᣂ⥝ㅜ ਄࿖ߦ߅ߌࠆੱญߩჇടߪޔㇺᏒㇱ㐷ߩ㓹↪ߩჇᷫߩᅤ૗ߦ㑐ࠊࠄߕޔㇺᏒᄬᬺࠍᖡൻߐ ߖߡߒ߹߁ߎߣࠍ␜ໂߒߡ޿ࠆޕ  ᦨૐ⾓㊄਄᣹ߩലᨐߪޔᣂ⥝㨯ㅜ਄࿖᡽ᐭߩᕁᖺㅢࠅߦⴕߊߣߪ㒢ࠄߥ޿੐ࠍ␜ໂߒߡ޿ ࠆޕᦨૐ⾓㊄਄᣹ߪ㧔33㧕ޔ㧔34㧕ࠃࠅᎿᬺㇱ㐷ߩ㓹↪ࠍᷫዋߐߖߡޔㇺᏒᄬᬺᲧ₸ࠍᖡൻ ߐߖߡߒ߹߁ޕߐࠄߦޔᦨૐ⾓㊄ߩ਄᣹ߪ㧔36㧕ࠃࠅޔ✚ᶖ⾌ࠍᷫዋߐߖߡߒ߹߁ޕߎߩ ࠃ߁ߦޔᦨૐ⾓㊄ߩᒁ߈਄ߍߦࠃࠆᶖ⾌ߩ᜛ᄢߦࠃࠆਛ㑆ጀߩჇടߣ޿߁᡽ᐭߩ⋡⊛ߣߪ ⋧ኈࠇߥ޿⚿ᨐߦߥࠆޕ  ෘ↢ಽᨆߩઍࠊࠅߦޔ㧔37㧕ࠃࠅ੤ᤃ᧦ઙߦ෸߷ߔᓇ㗀ࠍߺࠆޕ✚ഭ௛ߩჇടߪ✚ᶖ⾌ߩ Ⴧടࠍ߽ߚࠄߔߎߣߦࠃࠅޔ⥄࿖ߩ੤ᤃ᧦ઙࠍᡷༀߐߖࠆޕߒ߆ߒޔᦨૐ⾓㊄ߩ਄᣹ߪ✚ ᶖ⾌ߩૐਅߦࠃࠅޔ੤ᤃ᧦ઙࠍᖡൻߐߖߡߒ߹߁ޕߎߩෘ↢ಽᨆߩⷰὐ߆ࠄ߽ޔᦨૐ⾓㊄ ߩᒁ߈਄ߍߪᦸ߹ߒߊߥ޿ߎߣ߇ಽ߆ࠆޕ  ᶏᄖ߆ࠄߩᵄ෸ലᨐߦߟ޿ߡ⠨ኤߔࠆޕᦨೋߦޔᄖ࿖ߩࡑࠢࡠ⚻ᷣ᡽╷ߦߟ޿ߡㅀߴࠆޕ ㊄Ⲣ᡽╷ߣ⽷᡽᡽╷ߢߪ⥄࿖ߦ෸߷ߔലᨐ߇ᱜ෻ኻߢ޽ࠆߎߣ߇ಽ߆ࠆޕߎࠇߪޔߎࠇࠄ ߩ᡽╷ߩലᨐ߇✚ᶖ⾌ߦ෸߷ߔലᨐ߇ㅒߛ߆ࠄߢ޽ࠆޕᄖ࿖ߩ㊄Ⲣ✭๺ߪ✚ᶖ⾌ࠍჇടߐ ߖࠆ߇ޔᄖ࿖ߩ᜛ᄢ⊛ߥ⽷᡽᡽╷ߪࠢ࡜࠙࠺ࠖࡦࠣ㨯ࠕ࠙࠻ߩߚ߼ޔ✚ᶖ⾌ࠍᷫዋߐߖߡߒ ߹߁ޕߒߚ߇ߞߡޔ㧔31㧕ޔ㧔33㧕ޔ㧔34㧕ޔ㧔38㧕ޔ㧔39㧕ࠃࠅޔ⥄࿖⽷ߣᄖ࿖⽷߇⵬ቢᕈࠍ߽ ߟ㧔

r <

㧕ߣ߈ޔᄖ࿖ߩ㊄Ⲣ✭๺ߪ㐳ᦼߩㄘᬺຠଔᩰࠍ਄᣹ߐߖޔㇺᏒㇱ㐷ߩ㓹↪ࠍჇട ߐߖޔㇺᏒᄬᬺᲧ₸ࠍᷫዋߐߖࠆޕߘߒߡ⍴ᦼߩㄘᬺຠ↥಴㊂ߣᎿᬺຠ↥಴㊂ࠍჇടߐߖ ࠆޕ৻ᣇޔ㧔31㧕ޔ㧔33㧕ޔ㧔34㧕ࠃࠅ⥄࿖⽷ߣᄖ࿖⽷߇⵬ቢᕈࠍ߽ߟ㧔

r <

㧕ߣ߈ޔᄖ࿖ߩ ᜛ᄢ⊛ߥ⽷᡽᡽╷ߪ㐳ᦼߩㄘᬺຠଔᩰࠍૐਅߐߖޔㇺᏒㇱ㐷ߩ㓹↪ࠍᷫዋߐߖޔㇺᏒᄬᬺ Ყ₸ࠍჇടߐߖߡߒ߹߁ޕ  ᄖ࿖ߩ✚ഭ௛ߩჇടߪޔ㧔31㧕ޔ㧔33㧕ޔ㧔34㧕ޔ㧔39㧕ࠃࠅޔ⥄࿖⽷ߣᄖ࿖⽷߇⵬ቢᕈࠍ߽ߟ 㧔

r <

㧕ߣ߈ޔ⥄࿖᡽ᐭߦߣߞߡ⥄࿖ߩฦㇱ㐷ߦᅢ߹ߒ޿ലᨐࠍ߽ߚࠄߔޕߟ߹ࠅޔ⥄࿖ ߩㄘᬺຠଔᩰࠍ਄᣹ߐߖޔㇺᏒㇱ㐷ߩ㓹↪ࠍჇടߐߖߡޔㇺᏒᄬᬺᲧ₸ࠍᷫዋߐߖࠆޕߘ ߒߡ⍴ᦼߩᎿᬺຠ↥಴㊂ࠍჇടߐߖࠆޕ     

(18)

 ᄖ࿖ߩᦨૐ⾓㊄ߩ਄᣹ߪ㧔31㧕ޔ㧔33㧕ޔ㧔34㧕ޔ㧔39㧕ࠃࠅޔ⥄࿖⽷ߣᄖ࿖⽷߇ઍᦧᕈࠍ߽ ߟ㧔

r >

㧕ߣ߈ޔ⥄࿖᡽ᐭߦߣߞߡ⥄࿖ߩฦㇱ㐷ߦᅢ߹ߒ޿ലᨐࠍ߽ߚࠄߔޕ  એ਄߆ࠄᵄ෸ലᨐߦ㑐ߒߡߪޔ

r

ߩ୯ߦᄢ߈ߊଐሽߒߡ޿ࠆޕߟ߹ࠅޔ㒢⇇ല↪ߢ᷹ߞ ߚ⥄࿖⽷ߣᄖ࿖⽷ߣߩ㑐ଥߦᄢ߈ߊଐሽߒߡ޿ࠆߎߣ߇ಽ߆ࠆޕ 㧢ޔ߅ࠊࠅߦ  ᧄⓂߢߪޔᣂ⥝࿖ߦ߅ߌࠆࡑࠢࡠ⚻ᷣ᡽╷߿✚ഭ௛ߩჇടߣᦨૐ⾓㊄਄᣹߇෸߷ߔᓇ㗀 ࠍಽᨆߒߚޕCorsetti and Pesenti(2001)ߩࡕ࠺࡞ߦㄘᬺㇱ㐷ࠍㅊടߒߡޔߐࠄߦㇺᏒߣㄘ ᧛ߩഭ௛⒖േߦ㑐ߒߡߪ Harris and Todaro(1970)ߩࡕ࠺࡞ࠍዉ౉ߒߚޕߘߩࡕ࠺࡞ࠍ↪޿ ߡಽᨆߒߚ⚿ᨐ߇⴫ 4 ߆ࠄ⴫ 8 ߢ޽ࠆޕ  ᧄⓂߢߪޔᣂ⥝࡮ㅜ਄࿖ߢߩ෩ߒ޿⾗ᧄ⒖േⷙ೙߿㊄ⲢᏒ႐ߩᧂ⊒㆐࡮ᧂᢛ஻ࠍℂ↱ߦ ߒߡޔ⾗↥ߣߒߡௌ೛ࠍዉ౉ߒߡ޿ߥ޿ޕߒ߆ߒޔࡕ࠺࡞ߩ৻⥸ൻߩߚ߼ߦߪௌ೛ࠍขࠅ ㄟ߻ᔅⷐ߇޽ࠆޕ߹ߚޔᧄⓂߢߪᄌേ⋧႐೙ࠍ઒ቯߒߡ޿ࠆ߇ޔᣂ⥝࡮ㅜ਄࿖ߢߪታ㓙ޔ ࡍ࠶ࠣ೙ߥߤߩ࿕ቯ࡟࡯࠻೙ࠍណ↪ߒߡ޿ࠆ࿖߽ᄙ޿ޕߎࠇࠄߪᰴߩ⺖㗴ߣߒߚ޿ޕ ෳ⠨ᢥ₂

Corsetti, G. and Pesenti, P. (2001) “Welfare and Macroeconomic Interdependence”, The Quarterly Journal of Economics 116(2), pp.421-446

Harris, J.R. and Todaro, M.P. (1970) “Migration, Unemployment and Development: The Two-Sector Model”, American Economic Review 60(1), pp.126-142

Obstfeld, M. and Rogoff, K. (1995)”Exchange Rate Dynamics Redux”, Journal of Political Economy 103, pp.624-660 ⵬⺰ 1 㐳ᦼߦ߅ߌࠆౝ↢ᄌᢙߩ᳓Ḱߩዉ಴ ᶖ⾌⠪ߩ੍▚೙⚂㧔9㧕ߣ᡽ᐭߩ੍▚೙⚂㧔24㧕ࠃࠅޔH ࿖ߢ

( ) ( )

H M,

( ) ( )

M

( )

M H A,

( ) ( )

A

( )

A

P

H y

H

P

H y H

P H C H

g

H

g H

=

+

          㧔A1㧕 ߣߥࠅޔห᭽ߦ F ࿖ߢߪ

( ) ( )

F M,

( ) ( )

M

( )

M F A,

( ) ( )

A

( )

A

P

F y

F

P

F y F

P F C F

g

F

g F

=

+

           㧔A2㧕 ߣߥࠆޕߎߎߢޔ

( )

( )

( )

,

( )

i i i H i

y H

g H

y H

G

H

=

(19)

-( )

( )

( )

,

( )

i i i F i

y F

g F

y F

G

F

=

-ߢ޽ࠆޕએਅߢߪޔ᡽ᐭᡰ಴ߦ㑐ߒߡ

g H

i

( )

ޔ

g F

i

( )

ࠍᄖ↢ᄌᢙߣߒߡޔ

G

H i,

( )

H

ޔ

( )

, F i

G

F

ࠍౝ↢ᄌᢙߣߔࠆޕߟ߹ࠅޔ޽ࠆ৻ቯߩ

g H

i

( )

ޔ

g F

i

( )

ࠍḩߚߔࠃ߁ߦޔ

G

H i,

( )

H

ޔ

( )

, F i

G

F

߇ᄌൻߔࠆߣ઒ቯߔࠆ9ޕ  ᰴߦޔH ࿖ߩ⽷Ꮢ႐ဋⴧ᧦ઙ㧔26㧕ޔ㧔27㧕ࠃࠅ

( ) ( )

( ) ( )

( ) ( )

, H M M M

P

H y

H

C H

C F

P H g

H

=

gq é

ë

+

ù

û

                㧔A3㧕

( ) ( )

( ) ( )

(

) ( ) ( )

, H A A A

P

H y H

C H

C F

P H g H

=

g

-

q é

ë

+

ù

û

              㧔A4㧕 ห᭽ߦ F ࿖ߢߪ

( ) ( )

( ) ( )

(

)

( ) ( )

, F M M M

P

F y

F

C H

C F

P F g

F

= -

g q é

ë

+

ù

û

              㧔A5㧕

( ) ( )

( ) ( ) (

)(

) ( ) ( )

, F A A A

P

F y F

C H

C F

P F g F

= -

g

-

q é

ë

+

ù

û

            㧔A6㧕  㧔A1㧕ޔ㧔A3㧕ޔ㧔A4㧕ᑼࠃࠅ

( )

( )

C H

C F

g

g

=

-

                               㧔A7㧕 ߇ᚑ┙ߔࠆޕ  ⽻ᐊ㔛ⷐᑼ㧔10㧕ࠃࠅޔ

k

࿖ߢ

( )

( )

( )

M k

C k

P k

r

c

b

=

-ߣߥࠅޔߎࠇߣ⾼⾈ജᐔଔ᧦ઙ㧔17㧕㧔A7㧕ࠃࠅޔቯᏱ⁁ᘒὑᦧ࡟࡯࠻ߪ

9 ߎߩቯᑼൻ߽ Corsetti and Pesenti(2001)ߣหߓߢ޽ࠆޕ   

(20)

( )

E

M R

r

g

g

æ

-

ö

= ç

÷

è

ø

                            㧔A8㧕 ߣߥࠆޕ  ⽷Ꮢ႐ဋⴧ᧦ઙޔࡂ࡝ࠬ࡮࠻࠳ࡠ࡯᧦ઙࠃࠅޔ⥄࿖ߩㄘᬺຠଔᩰߪ

( )

( )

( )( )( )

( )

( )( )( )

( )

( )

( )

( )( )( )

( )

( )( )( )

( )

( )( )

( )

( )( ) 1 1 1 1 1 1 1 , 1 1 1 1 1 1 1 1 1 1 1 1 H A b b M b b b b b

P

H

a l H

l F

w W

H

F

M H

M F

r r g q r g q r q r g q r r g q q r g q r g - - - -- - - + - - -

-=

ޓޓޓޓޓI

I

            㧔A9㧕 ߎߎߢ ( )( )

(

)

( )( )

(

)

1 1 1 1 1 1 1 1 1 1 b b b

a

r r q g r q q g r q

c

g

g

q

q

b

- -- - - -+ -

ö é

ù

é

ù

=

ç

÷

ë

-

û

ë

-

û

ø

(

)(

)

b

=

r

-

- - <

q

r

( )

M

( ) (

) ( )

A

g k

=

q

g

k

+ -

q

g k

 ߥ߅ޔ⴫⃻ߩ◲ଢᴺߣߒߡ

( )

( ) ( )

1

X W

=

X H X F

g -g

( )

X H

( )

( )

X R

X F

=

ࠍ↪޿ࠆޕ ᄖ࿖ߩ႐ว߽ห᭽ߦߒߡ

( )

( )

( )( )

( )

( )( )

( )

( )

( )

( )( )

( )

( )( )

( )

( )

( )

( ) 1 1 1 1 1 , 2 1 1 1 1 1 1 1 F A b b M b b b b b

P

F

a l H

l F

w W

H

F

M H

M F

g r q r g r q r q g r q g r q r gq r gq r - - - -- - - +

-=

ޓޓޓޓޓI

I

                                     㧔A10㧕 ߎߎߢ ( )

(

)

( )

(

)

1 1 1 1 1 1 1 2 b b b

a

r r gq r q gq r q

c

g

g

q

q

b

- -+ - --

ö é

ù

é

ù

=

ç

÷

ë

-

û

ë

-

û

ø

㧔A9㧕ޔ㧔A10㧕ࠃࠅ⥄࿖㧔H ࿖㧕ߢߩㄘᬺ↥಴㊂ߣᎿᬺ↥಴㊂ߪ

(21)

( )

( )

( )

(

) ( )

A M A

l H

y H

H

H

q

q

=

+

- - - - - - - - - - - - - - - - - - - - - - - - 㧔A11㧕

( )

( )

( )( )

( )

( ) ( )

( )

( )( )

( ) ( )

( )( )

( )

( )( )( )

( )

( )( )

( )

( )( ) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 M b M b M b M b b b b

y

H

a l W

w H

w F

H

H

F

M H

M F

r r q g r q r g q g r q r g q q r g q r g

q

- - é- - ù - - ë û - -- - - + - - - --

-=

é

ù

ê

ú

ë

û

ޓޓޓޓޓ I

I

I

                                     㧔A12㧕 ߣߥࠆޕ ᄖ࿖㧔F ࿖㧕ߩ႐ว߽ห᭽ߦߒߡ

( )

( )

( )

(

) ( )

A M A

l F

y F

F

F

q

q

=

+

- - - - - - - - - - - - - - - - - - - - - - - - -㧔A13㧕

( )

( )

( )( )

( )

( )

( )

( )( )

( )

( )( )

( ) ( )

( )( )( )

( )

( )

( )

( ) 1 1 1 1 1 2 1 1 1 1 1 1 1 1 M b M b M b M b b b b

y

F

a l W

w H

w F

H

F

F

M H

M F

r q r gq r r qg g r q r q g gq r gq r

q

- - - -- - - + --

-=

é

ù

ê

ú

ë

û

ޓޓޓޓޓI

I

I

                                     㧔A14㧕 ߣߥࠆޕ  ߹ߚޔ㧔18㧕ޔ㧔19㧕ޔ㧔23㧕ޔ㧔A9㧕ࠃࠅޔ⥄࿖ߩㇺᏒᄬᬺᲧ₸ߪ

( )

( )

( )( )( )

( )

( )( )( )

( )

( ) ( )

( )

( )( )

( )

( )( )( )

( )

( )( )( )

( )

( )( )

( )

( )( ) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 M M b b b b b b b b

z H

a l H

l F

w H

w F

H

F

M H

M F

r q g r r r g q r g q r g q r g q r r g q q r g q r g - é- - ù -- -- - - ë û - -- - -- - - + - - - -- -

-+

=

ޓޓޓޓޓI

I

                                     㧔A15㧕 ߣߥࠆޕ ห᭽ߦߒߡᄖ࿖ߩㇺᏒᄬᬺᲧ₸ߪ

( )

( )

( )( )

( )

( )( )

( )

( )

( )

( )( )

( )

( )( )

( )

( )( )

( )

( )

( )

( ) 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 M M b b b b b b b b

z F

a l H

l F

w H

w F

H

F

M H

M F

g r q r g r q r gq r qg r g r q g r q r gq r gq r - - - -- - -- - - + -- -

-+

=

ޓޓޓޓޓI

I

                                     㧔A16㧕 ߣߥࠆޕ  ⥄࿖ߣᄖ࿖ߩ‛ଔ᳓Ḱߪฦޘޔ     

(22)

( )

3

( )

( )1b M

( )

b

( )

( )1b

( )

( )1 b ( )1

( )

( )1b

P H

=

a l W

r -q

w W

-qr

W

-r -q

M H

- - +q rq -g

M F

qr -g   㧔A17㧕

( )

3

( )

( )1b M

( )

b

( )

( )1b

( )

b

( )

( )1 b

P F

a l W

w W

W

M H

M F

r r q qr r q rqg q qrg

g

g

- - - + - -

ö

= ç

-

÷

è

ø

  㧔A18㧕 ߎߎߢ ( )1

(

)

( )( )1 1

(

)

1 1 1 3 1 b b

a

=

a

-q

é

g

- + -g g

-

g

- -g +

ù é

q

q

-

q

-q

ù

û

ë

û

ߢ޽ࠆޕ  ⥄࿖㧔H ࿖㧕ߩ੤ᤃ᧦ઙߪ

( )

( )

H F

P H

EP F

ߣቯ⟵ߐࠇࠆߩߢޔ‛ଔ᳓Ḱࠃࠅ

( )

( )

( )

1

( ) ( )

1

( )

b H M F

P

H

l R

w

R g R

M R

EP

F

q q q q

g

g

- -

-

ö

= ç

÷

è

ø

            㧔A19㧕 ߣߥࠆޕ ቯᏱ⁁ᘒߦ߅ߌࠆ⥄࿖ߣᄖ࿖ߩ✚ᶖ⾌ߪ

( )

4

( )

1b M

( ) ( )

b 1b

( )

b

C H

=

a l W

--q

w W

q

W

-q

M W

-q               㧔A20㧕

( )

4

( )

1b M

( ) ( )

b 1b

( )

b

C F

g

a l W

q

w W

q

W

q

M W

q

g

- --

-

ö

= ç

÷

è

ø

           㧔A21㧕 ߎߎߢ 1 1 4 3

a

b

r

a

r

c

-

ö

= ç

÷

è

ø

ߣߥࠆޕ  ⵬⺰ 2 ⍴ᦼߦ߅ߌࠆౝ↢ᄌᢙߩ᳓Ḱߩዉ಴ ᒰೋߩ⚻ᷣᄌᢙߪ

X

0ޔ⍴ᦼߩ⚻ᷣᄌᢙߪ

X

ߢ޽ࠆޕࡑࠢࡠ⚻ᷣ᡽╷ߪᕡਭ⊛ߥᄌൻߢ޽ࠆ ߆ࠄޔ㊄Ⲣ᡽╷ߦߟ޿ߡ

( )

( )

( )

0

M k

<

M k

=

M k

                          㧔A22㧕 ߢ޽ࠅޔ⽷᡽᡽╷ߦߟ޿ߡ

(23)

( )

( )

0

( )

M M M

g

k

=

g

k

>

g

k



( )

( )

0

( )

A A A

g k

=

g k

>

g k

߇ᚑ┙ߔࠆޕ  ⍴ᦼߢߪ⥄࿖ߣᄖ࿖ߩㄘᬺㇱ㐷ߩ⾓㊄߇৻ቯߢ޽ࠆߩߢޔਔ࿖ߩㄘᬺຠଔᩰߪ࿕ቯߐࠇ ࠆޕߟ߹ࠅޔ

( )

( )

, , 0 H A H A

P

H

=

P

H

( )

( )

, , 0 F A F A

P

F

=

P

F

ߣߥࠆޕ  㧔A22㧕ࠃࠅ⍴ᦼߦ߅޿ߡ߽ὑᦧ࡟࡯࠻ߪ㧔A8㧕ߣหߓߢ޽ࠅޔ

( )

E E

M R

r

g

g

æ

-

ö

= = ç

÷

è

ø

                          㧔A8㧕 ߣߥࠆޕ߹ߚޔ⍴ᦼߦ߅޿ߡ߽ޔ㐳ᦼߣหߓᶖ⾌⠪ߩ੍▚೙⚂ߣ᡽ᐭߩ੍▚೙⚂߇ᚑ┙ߒ ߡޔߐࠄߦ⽷Ꮢ႐ဋⴧ᧦ઙ߽㐳ᦼߣห᭽ߦ⍴ᦼߢᚑ┙ߔࠆޕߟ߹ࠅޔ㧔A1㧕㨪㧔A6㧕߽ห ᭽ߦᚑ┙ߔࠆޕࠃߞߡޔ

( ) ( )

H M,

( ) ( )

M

( )

M H A,

( ) ( )

A

( )

A

P

H y

H

P

H y H

P H C H

g

H

g H

=

+

         㧔A23㧕

( ) ( )

F M,

( ) ( )

M

( )

M F A,

( ) ( )

A

( )

A

P

F y

F

P

F y F

P F C F

g

F

g F

=

+

           㧔A24㧕

( ) ( )

( ) ( )

( ) ( )

, H M M M

P

H y

H

C H

C F

P H g

H

=

gq

é

ë

+

ù

û

                㧔A25㧕

( ) ( )

( ) ( )

(

) ( ) ( )

, H A A A

P

H y H

C H

C F

P H g H

=

g

-

q

é

ë

+

ù

û

              㧔A26㧕

( ) ( )

( ) ( ) (

)

( ) ( )

, F M M M

P

F y

F

C H

C F

P F g

F

= -

g q

é

ë

+

ù

û

              㧔A27㧕     

(24)

( ) ( )

( ) ( ) (

)(

) ( ) ( )

, F A A A

P

F y F

C H

C F

P F g F

= -

g

-

q

é

ë

+

ù

û

            㧔A28㧕  ߒߚ߇ߞߡޔ⍴ᦼߢ߽㐳ᦼߣห᭽ߦ

( )

( )

( )

( )

C H

C H

C F

C F

g

g

=

=

-

                          㧔A29㧕 ߇ᚑ┙ߔࠆޕ  ⽷Ꮢ႐ဋⴧ᧦ઙ㧔A25㧕ޔ㧔A26㧕ࠃࠅޔ⥄࿖㧔H ࿖㧕ߢߩㄘᬺ↥಴㊂ߣᎿᬺ↥಴㊂ߪ

( )

( )

( )

( )

( )

( )

( )

( )( ) ( )

( )

( )( ) ( )

( )

( )

1 1 1 1 1 1 1 1 1 5 0 0 0 1 1 A b b b b A

y H

a l H

g H

M H

M F

g H

M W

M R

g r qr q g r qr q qr q qr q r r g r - - - + - - - + -é ùé ù é ù + - + - ë ûë û ë û

-=

ޓޓޓޓ

                                     㧔A30㧕

( )

( )

(

)

( )

( )( )

( )

( )( )

( )

( )( )

( )

( )( )

( )

( )( )

( )

( )

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 M b M M b b b b M b b

y

H

l W

w

H

w

F

g

H

g W

M W

M W

M R

r q r q g r q g r q q q r q r g r r

c

q

q

q

g

b

- - - - - - - -- - -

ö é

ù

=

ç

÷ ë

-

û

ø

ޓޓޓޓ

                                     㧔A31㧕 ߎߎߢ

(

) (

)

( )1 1

(

)

( )1 1 ( )1 5 1 4 b

a

a a

g q g q g

g

q

q q

q

g

g

g

- -- -- -

æ

-

ö

ù é

ù

= -

ë

-

û ë

-

ç

÷

û è

ø

( )( )

(

)

( )( ) ( )( ) ( )

(

)

( )( ) ( )( )

(

)

( )( ) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 b b b b q r q g r g q g r r g g r r q g r q g r

g

g

g

g

g

g

g

- -- -- - - + + - - - + -- -+ -

ù

é

ù

=

ë

-

û

ë

-

û

é

-

ù

ë

û

ޓޓޓ

 ߥ߅ޔ⍴ᦼߦ߅޿ߡ߽

( )

( )

( )

1 0 0 0

X W

=

X H X F

g -g

( )

0

( )

( )

0 0

X H

X R

X F

=

ߣߔࠆޕ ᄖ࿖㧔F ࿖㧕ߩ႐ว߽ห᭽ߦߒߡޔ

(25)

( )

( )

( )

( )

( )

( )

( )

( ) ( )

( )

( ) ( )

( )

( )

1 1 1 1 1 1 1 6 0 0 0 1 A b b b b A

y F

a l F

g F

M H

M F

g F

M W

M R

g r qr q g r qr q qr q qr q r r g r - é + - ù é- - ùé + - ù + - + - ë û ë ûë û

-=

ޓޓޓޓ

                                     㧔A32㧕

( )

( )

( )

( )( )

( )

( )

( )

( )

( )

( )( )

( )

( )( )

( )

( )

1 1 1 1 1 1 1 1 1 7 0 0 1 M M M b b b b b M

y

F

a l W

w

H

w

F

g W

M W

g

F

M W

M R

q r gq r gq r q r q r r g r - - -

-=

ޓޓޓޓ

㧔A33㧕 ߎߎߢ

(

)

1 1 6 2 3 4

a

a a a

r

g

q

g

ö

= - ç

-

÷

è

ø

1 1 1 7 3

a

a

r r r r

c

g

q

b

g

- -

ö æ

ö

= ç

-

÷ ç

-

÷

è

ø è

ø

 ⍴ᦼߦ߅޿ߡㇺᏒᄬᬺᲧ₸ߪ

( )

,

( )

( )

,

( )

( )

0 M M k A k A

w k

w k

z k

P

k

P

k

+

=

=

ߣߥࠆޕ  ⍴ᦼߦ߅ߌࠆ⥄࿖㧔H ࿖㧕ߩ੤ᤃ᧦ઙߪ

( )

( )

( )

1

( ) ( )

0 1 0

( )

1

( )

1 b H M F

P

H

l R

w

R g R

M R

M R

EP F

q q q q

g

g

- - -

-

ö

= ç

÷

è

ø

ߣߥࠆޕ  ⍴ᦼߦ߅ߌࠆ⥄࿖ߣᄖ࿖ߩᶖ⾌ߪ

( )

( )

( )

( )

( )

( )

( )

( )

( )

1 1 1 1 1 1 3 b M b 0 b 0 b

C H

c

r

a l W

r q

w W

q

g W

q

M W

rq

M W

r

b

- - - --

ö

= ç

-

÷

è

ø

   㧔A34㧕

( )

( )

( )

( )

( )

( )

( )

( )

( )

1 1 1 1 1 1 1 3 b M b 0 b 0 b

C F

g

c

r

a l W

r q

w W

q

g W

q

M W

rq

M W

r

g

b

- - - - --

ö æ

ö

= ç

-

÷ ç

-

÷

è

ø è

ø

     㧔A35㧕 ߣߥࠆޕ     

参照

関連したドキュメント

化し、次期の需給関係が逆転する。 宇野学派の 「労働力価値上昇による利潤率低下」

ベクトル計算と解析幾何 移動,移動の加法 移動と実数との乗法 ベクトル空間の概念 平面における基底と座標系

当第1四半期連結累計期間におけるわが国経済は、製造業において、資源価格の上昇に伴う原材料コストの増加

4 アパレル 中国 NGO及び 労働組合 労働時間の長さ、賃金、作業場の環境に関して指摘あり 是正措置に合意. 5 鉄鋼 カナダ 労働組合

⑥法律にもとづき労働規律違反者にたいし︑低賃金労働ヘ

スポンジの穴のように都市に散在し、なお増加を続ける空き地、空き家等の

④資産により生ずる所⑮と⑤勤労より生ずる所得と⑮資産勤労の共働より

戦後の労働立法の制定もポツダム宜言第1o項後段に掲げられた「日本国政府