• No results found

Consequences of imitation by poor countries on international wage inequalities and global growth

N/A
N/A
Protected

Academic year: 2022

Share "Consequences of imitation by poor countries on international wage inequalities and global growth"

Copied!
36
0
0

Laster.... (Se fulltekst nå)

Fulltekst

(1)

Working Paper No 46/00

Consequences of Imitation by Poor Countries on International Wage Inequalities

and Global Growth by

Hans Jarle Kind

SNF project no 1070

”Internationalization and economic policy”

The project is financed by the Research Council of Norway Grant no 124559/510

SNF project no 1035

”Foreign direct investment and development:

Lessons for Southern Africa from the Southeast Asian Experience”

The project is financed by the Research Council of Norway Grant no 131700/730

SIØS - Centre for International Economics and Shipping

FOUNDATION FOR RESEARCH IN ECONOMICS AND BUSINESS ADMINISTRATION BERGEN, DECEMBER 2000

ISSN 0803 –4028

© Dette eksemplar er fremstilt etter avtale med KOPINOR, Stenergate 1, 0050 Oslo.

Ytterligere eksemplarfremstilling uten avtale og i strid med åndsverkloven er straffbart og kan medføre erstatningsansvar.

(2)

SIØS - CENTRE FOR INTERNATIONAL ECONOMICS AND SHIPPING

SIØS – Centre for international economics and shipping – is a joint centre for The Norwegian School of Economics and Business Administration (NHH) and The Foundation for Research in Economics and Business Administration (SNF). The centre is responsible for research and teaching within the fields of international trade and shipping.

International Trade

The centre works with all types of issues related to international trade and shipping, and has particular expertise in the areas of international real economics (trade, factor mobility, economic integration and industrial policy), international macro economics and international tax policy. Research at the centre has in general been dominated by projects aiming to provide increased insight into global, structural issues and the effect of regional economic integration. However, the researchers at the centre also participate actively in projects relating to public economics, industrial policy and competition policy.

International Transport

International transport is another central area of research at the centre. Within this field, studies of the competition between different modes of transport in Europe and the possibilities of increasing sea transport with a view to easing the pressure on the land based transport network on the Continent have been central.

Maritime Research

One of the main tasks of the centre is to act as a link between the maritime industry and the research environment at SNF and NHH. A series of projects that are financed by the Norwegian Shipowners Association and aimed directly at shipowning firms and other maritime companies have been conducted at the centre. These projects include studies of Norwegian shipowners' multinational activities, shipbuilding in Northern Europe and the competition in the ferry markets.

Human Resources

The centre’s human resources include researchers at SNF and affiliated professors at NHH as well as leading international economists who are affiliated to the centre through long-term relations. During the last few years the centre has produced five PhDs within international economics and shipping.

Networks

The centre is involved in several major EU projects and collaborates with central research and educational institutions all over Europe. There is particularly close contact with London School of Economics, University of Glasgow, The Graduate Institute of International Studies in Geneva and The Research Institute of Industrial Economics (IUI) in Stockholm. The staff members participate in international research networks, including Centre for Economic Policy Research (CEPR), London and International Association of Maritime Economists (IAME).

(3)

Frqvhtxhqfhv ri Lplwdwlrq e| Srru Frxqwulhv rq Lqwhuqdwlrqdo Zdjh Lqhtxdolwlhv

dqg Joredo Jurzwk

Kdqv Mduoh Nlqg kdqv1nlqgCqkk1qr

MHO fodvvlfdwlrq qxpehu= I45/ I48

Nh|zrugv= Lqqrydwlrq/ Lplwdwlrq/ Jurzwk/ Wudqvdfwlrq frvwv

Devwudfw= Wklv sdshu suhvhqwv dq hqgrjhqrxv jurzwk prgho zkhuh wkh ohyho ri lqwhuqdwlrqdo wudqvdfwlrq frvwv pd| eh ghflvlyh iru zkhwkhu wkh srru Hdvw vshfldol}hv lq djulfxowxuh surgxfwlrq/ lplwdwhv jrrgv iurp wkh ulfk Zhvw/ ru pdnhv lwv rzq lqqrydwlrqv1 Zh vkrz wkdw wkh Hdvw surgxfhv rqo| djulfxowxudo jrrgv li wudqvdfwlrq frvwv duh kljk/ zkloh lqqrydwlrq lv surwdeoh zkhq wudqvdfwlrq frvwv duh orz1 Lq ehwzhhq zh kdyh d udqjh ri wudqvdfwlrq frvwv zkhuh wkh Hdvw lplwdwhv/ srvvleo|

uhvxowlqj lq d orzhu joredo jurzwk udwh dqg d odujhu lqwhuqdwlrqdo zdjh jds wkdq li lplwdwlrq zhuh qrw srvvleoh1

(4)

Qrq0whfkqlfdo vxppdu|

Wudgh olehudol}dwlrq dqg lplwdwlrq vhhp wr kdyh ehhq nh| zrugv iru frxqwulhv olnh Vrxwk Nruhd dqg Wdlzdq zkhq wkh| zhuh wudqviruphg lqwr prghuq lqgxvwuldo qdwlrqv 0 ru iru wkh hduolhu lqgxvwuldol}dwlrq surfhvvhv ri Jhupdq| dqg Iudqfh/ iru wkdw pdwwhu1 Lq wklv sdshu zh vhw xs d jhqhudo htxloleulxp prgho lq rughu wr surylgh vrph lqvljkw lqwr wkh iroorzlqj txhvwlrqv= Iluvw/ zkdw lv wkh uhodwlrqvkls ehwzhhq wudgh olehudol}dwlrq dqg lplwdwlrqB Vhfrqg/ krz grhv lplwdwlrq dhfw lqwhuqdwlrqdo lqfrph lqhtxdolwlhvB Wklug/ krz grhv lplwdwlrq e| srru frxqwulhv dhfw lqqrydwlrq lqfhqwlyhv lq lqgxvwuldol}hg qdwlrqvB

Dv iru wkh uvw txhvwlrq/ zh vkrz wkdw lplwdwlrq pd| qrw eh surwdeoh iru ghyho0 rslqj frxqwulhv xqohvv wudgh lv vx!flhqwo| olehudol}hg1 Wkh uhdvrq lv wkdw lplwdwlrq uhtxluhv fkhds dffhvv erwk wr wkh lqsxw dqg rxwsxw pdunhwv lq wkh lqgxvwuldol}hg zruog1 Rwkhu wklqjv ehlqj htxdo/ zh vkrxog wkxv h{shfw d srvlwlyh uhodwlrqvkls ehwzhhq wudgh olehudol}dwlrq dqg lplwdwlrq1

Wkh odvw wzr txhvwlrqv deryh duh ohvv vwudljkwiruzdug wr dqvzhu/ vlqfh lw lv qrw reylrxv zkdw rqh vkrxog frpsduh zlwk zkhq rqh dvnv derxw wkh frqvhtxhqfhv ri lplwdwlrq1 Wkh h{lvwlqj olwhudwxuh w|slfdoo| dvvxphv wkdw ghyhorslqj frxqwulhv duh xqdeoh wr lqqrydwh/ wkxv pdnlqj lw prvw uhohydqw wr frpsduh dq htxloleulxp zkhuh ghyhorslqj frxqwulhv lplwdwh wr dq htxloleulxp zkhuh ghyhorslqj frxqwulhv vshfldol}h lq djulfxowxuh surgxfwlrq1 Lq wklv fdvh wkh wkhru| vhhpv wr ohqg prvw vxssruw wr wkh ylhz wkdw lplwdwlrq whqgv wr uhgxfh wkh lqwhuqdwlrqdo zdjh jds dqg lqfuhdvh lqqryd0 wlrq lqfhqwlyhv lq wkh pruh dgydqfhg frxqwulhv1 Zh qg d vlplodu uhvxow1 Krzhyhu/

lq wkh suhvhqw sdshu wkh fkrlfh ehwzhhq lplwdwlrq dqg lqqrydwlrq lv hqgrjhqrxvo|

ghwhuplqhg1 Wkxv/ lw pd| eh prvw uhohydqw wr frpsduh dq htxloleulxp zkhuh gh0 yhorslqj frxqwulhv lplwdwh wr dq htxloleulxp zkhuh wkh| lqqrydwh1 Zkhq wklv lv wkh edvlv iru frpsdulvrq/ zh qg wkdw lplwdwlrq pd| lq idfw lqfuhdvh wkh lqwhuqdwlrqdo zdjh jds dqg uhgxfh lqqrydwlrq lqfhqwlyhv lq ghyhorshg frxqwulhv1

(5)

4 Lqwurgxfwlrq

Wkh idfw wkdw pdq| ri wkh qhzo| lqgxvwuldol}hg frxqwulhv kdyh xqghuzhqw d skdvh ri wudgh olehudol}dwlrq dqg h{whqvlyh lplwdwlrq ri jrrgv iurp pruh dgydqfhg frxq0 wulhv udlvhv d qxpehu ri lpsruwdqw txhvwlrqv1 Iru lqvwdqfh/ zkdw lv wkh uhodwlrqvkls ehwzhhq wudgh olehudol}dwlrq dqg lplwdwlrqB Vhfrqg/ krz grhv lplwdwlrq dhfw lq0 whuqdwlrqdo lqfrph lqhtxdolwlhvB Wklug/ krz grhv lplwdwlrq e| srru frxqwulhv dhfw lqqrydwlrq lqfhqwlyhv lq lqgxvwuldol}hg qdwlrqvB

Lq wklv sdshu zh dlp dw jhwwlqj vrph lqvljkw lqwr wkhvh txhvwlrqv wkurxjk dq hqgrjhqrxv jurzwk prgho zkhuh wkh h{whqw ri lqwhuqdwlrqdo wudgh olehudol}dwlrq pd|

eh ghflvlyh iru zkhwkhu wkh srru Hdvw vshfldol}hv lq djulfxowxuh surgxfwlrq/ lplwdwhv jrrgv iurp wkh ulfk Zhvw/ ru pdnhv lwv rzq lqqrydwlrqv1 Zh xvh d iudphzrun wkdw ghsduwv iurp prvw ri wkh h{lvwlqj olwhudwxuh lq wkuhh zd|v1 Iluvw/ zh dvvxph wkdw wkh frxqwulhv duh lqwulqvlfdoo| v|pphwulf1 Wkxv zh gr qrw kdyh wr uho| rq dq| h{rjhqrxv lqwhuqdwlrqdo glhuhqfhv1 Vhfrqg/ wkh fkrlfh ehwzhhq lqqrydwlrq dqg lplwdwlrq lv hqgrjhqrxvo| ghwhuplqhg/ dqg gxh wr {hg lplwdwlrq dqg lqqrydwlrq frvwv zh doorz lpshuihfw frpshwlwlrq lq wkh surgxfw pdunhw1 Wklug/ zh h{solflwo|

lqfrusrudwh wudqvdfwlrq frvwv14

Frqvlvwhqw zlwk hpslulfdo hylghqfh zh dvvxph wkdw vxffhvvixo lplwdwlrq ru lqqr0 ydwlrq uhtxluhv dgydqfhg lqwhuphgldwh jrrgv dv lqsxwv/ dqg wkdw wkhvh lqwhuphgldwhv wr d odujh h{whqw duh surgxfhg lq ghyhorshg frxqwulhv1 Wklv phdqv wkdw lw lv h{shqvlyh erwk wr lplwdwh dqg lqqrydwh lq ghyhorslqj frxqwulhv li wudqvdfwlrq frvwv duh kljk1 Zh ixuwkhu dvvxph wkdw hyhq wkrxjk lw lv ohvv h{shqvlyh wr lplwdwh wkdq wr lqqrydwh/

lplwdwlrq vwloo uhtxluhv vrph {hg lqyhvwphqwv lq U)G1 Wkhuhe| erwk lplwdwlrq dqg

4Wkh whupvwudgh olehudol}dwlrq dqguhgxfwlrq ri wudqvdfwlrq frvwv zloo eh xvhg lqwhufkdqjhdeo|1 Dv lq hfrqrplf jhrjudsk| olwhudwxuh/ wudgh frvwv duh lqwhusuhwhg dv hyhu|wklqj wkdw/ rwkhu wklqjv ehlqj htxdo/ pdnhv lw pruh h{shqvlyh wr ex| iruhljq wkdq grphvwlf jrrgv1 Wklv lqfoxghv idfwruv vxfk dv sxuh frppxqlfdwlrq dqg wudqvsruwdwlrq frvwv dqg kdqgolqj ri uhg wdsh1 Wkh gh idfwr lqwhuqdwlrqdo wudgh frvwv iru upv lq Hdvw Dvld/ iru lqvwdqfh/ zhuh suhvxpdeo| vljqlfdqwo| uhgxfhg zkhq flufxpvwdqwldo wudgh surfhgxuhv dqg exuhdxfudwlf lqwhuihuhqfh zhuh judgxdoo| derolvkhg iurp wkh odwh 4<93*v +vhh/ h1j1/ Drnl/ Nlp/ dqg Rnxqr0Ixmlzdud/ 4<<:,1 Zh gr qrw frqvlghu lqfrph0 jhqhudwlqj wdulv1

4

(6)

lqqrydwlrq wdnhv sodfh xqghu lqfuhdvlqj uhwxuqv wr vfdoh/ dqg duh xqsurwdeoh xqohvv pdunhw ghpdqg lv vx!flhqwo| kljk1 Vlqfh wkh krph pdunhw lv w|slfdoo| vpdoo lq gh0 yhorslqj frxqwulhv/ lw lv lpsruwdqw iru hqwuhsuhqhxuv lq wkhvh frxqwulhv wr vhoo wr wkh odujhu pdunhw lq wkh ghyhorshg frxqwulhv1 Krzhyhu/ zlwk kljk wudqvdfwlrq frvwv lw lv h{shqvlyh wr hqjdjh lq wudgh1 Wkxv/ frvw idfwruv dv zhoo dv ghpdqg idfwruv pdnh lw xqsurwdeoh iru ghyhorslqj frxqwulhv wr lqyhvw lq U)G li wudqvdfwlrq frvwv duh kljk1 Iru vx!flhqwo| orz ohyhov ri wudqvdfwlrq frvwv lw zloo eh surwdeoh iru ghyhorslqj frxqwulhv wr lplwdwh 0 ru hyhq wr lqqrydwh1 Exw zh dovr vkrz wkdw hqwuhsuhqhxuv lq srru frxqwulhv pd| suhihu wr lplwdwh hyhq li lqqrydwlrq pljkw kdyh ehhq surwdeoh1 Zh wkxv dvn zkhwkhu lplwdwlrq whqgv wr vshhg xs wkh joredo jurzwk udwh dqg uhgxfh wkh lqwhuqdwlrqdo zdjh jds frpsduhg wr d k|srwkhwlfdo vlwxdwlrq zkhuh dovr srru frxqwulhv lqqrydwh1 Wkh dqvzhu wr wklv txhvwlrq ghshqgv rq krz pxfk wudqvdfwlrq frvwv duh uhgxfhg e|1 Lq sduwlfxodu/ zh vkrz wkdw lplwdwlrq lv xqdpeljxrxvo| suhihu0 deoh dqg frqvwlwxwhv d xqltxh htxloleulxp li wudqvdfwlrq frvwv duh dw lqwhuphgldwh ohyho1 Iru pruh prghudwh ohyhov ri wudqvdfwlrq frvwv/ krzhyhu/ zh pd| kdyh pxo0 wlsoh htxloleuld> rqh zkhuh srru frxqwulhv lplwdwh jrrgv iurp ulfk frxqwulhv/ dqg rqh zkhuh erwk srru dqg ulfk frxqwulhv lqqrydwh1 Hfrqrplf jurzwk lv orzhu dqg lqwhuqdwlrqdo zdjh glhuhqfhv odujhu lq wkh htxloleulxp zlwk lplwdwlrq1

Zh kdyh d odujh duud| ri hylghqfh wkdw lqwhuqdwlrqdo wudqvdfwlrq frvwv duh erwk txdqwlwdwlyho| dqg txdolwdwlyho| lpsruwdqw1 Lq d wkhruhwlfdo sdshu Vdpxhovrq +4<87, vkrzhg wkdw wkh krph pdunhw eldv pd| eh h{sodlqhg e| h{solflwo| lqwurgxflqj lqwhu0 qdwlrqdo wudqvdfwlrq frvwv1 Odwhu Nuxjpdq +h1j1/ 4<<4, dqg Nuxjpdq dqg Yhqdeohv +h1j1/ 4<<3 dqg 4<<8, kdyh ghprqvwudwhg wkdw lqwurgxfwlrq ri wudqvdfwlrq frvwv lq irupdo prghov pd| khos wr h{sodlq zk| vrph frxqwulhv dqg uhjlrqv kdyh survshuhg hfrqrplfdoo|/ zkloh rwkhuv kdyh vwdjqdwhg1 Lq d yhu| lpsruwdqw dqg frqwuryhuvldo sdshu Revwihog dqg Urjr +5333, ixuwkhu vkrz wkdw h{solflw frqvlghudwlrq ri wudqv0 dfwlrq frvwv pd| uhvroyh pdmru sx}}ohv lq lqwhuqdwlrqdo pdfurhfrqrplfv1 Wklv lv wuxh hyhq wkrxjk wkh| rqo| frqvlghu RHFG frxqwulhv/ zkhuh wudqvdfwlrq frvwv duh zlgho| eholhyhg wr eh uhodwlyho| vpdoo15

5Wkh prvw idprxv hpslulfdo lqyhvwljdwlrq ri wkh vl}h ri wkh krph pdunhw eldv lv surylghg e| PfFdooxp +4<<8,1 Dgmxvwhg iru jhrjudsklfdo glvwdqfh/ kh irxqg wkdw wudgh dfurvv Fdqdgldq

5

(7)

Dv idu dv zh nqrz/ wklv lv wkh uvw sdshu wkdw vwxglhv krz lqwhuqdwlrqdo wudqvdf0 wlrq frvwv dhfw lplwdwlrq dqg lqqrydwlrq lqfhqwlyhv lq srru frxqwulhv1 Jurvvpdq dqg Khospdq +4<<4,/ rq zklfk wkh suhvhqw sdshu exlogv/ frqvlghu d frpsohwho| lqwhjudwhg zruog lq d nqrzohgjh0gulyhq prgho1 Wkh| suhvxssrvh wkdw ghyhorslqj frxqwulhv gr qrw lqqrydwh/ dqg kdyh gh0idfwr h{rjhqrxv zdjhv1 Eduur dqg Vdod0l0Pduwlq +4<<8/

fk1 ;, dvvxph wkdw lqwhuphgldwh jrrgv duh qrq0wudghg1 Wkh| gr qrw irfxv rq krz lplwdwlrq dhfwv wkh jurzwk udwh> wkhlu dlp lv udwkhu wr vkrz frqyhujhqfh hhfwv ri lplwdwlrq dqg nqrzohgjh vslooryhuv1 Fxuulh hw do1 +4<<9, xvh wkh vdph iudphzrun dv Jurvvpdq dqg Khospdq/ exw suhvxssrvh wkdw rqh uhjlrq 0 iru vrph uhdvrq 0 kdv dq dgydqwdjh ryhu wkh rwkhu lq nqrzohgjh dvvlplodwlrq1 Wklv pd| ohdg wkh edfnzdug uhjlrq wr lplwdwh jrrgv iurp wkh pruh dgydqfhg rqh1 Lq hhfw/ Fxuulh hw do1 ixuwkhu dvvxph lqfuhdvlqj uhwxuqv wr nqrzohgjh dffxpxodwlrq lq wkh lplwdwlrq vhfwru dqg vkrz krz wkh edfnzdug uhjlrq hyhqwxdoo| qgv lw surwdeoh wr lqqrydwh1 Wkhlu sul0 pdu| irfxv lv srolf| lpsolfdwlrqv lq dq Hdvw0Zhvw shuvshfwlyh1 Vhjhuvwurp +4<<4, ghyldwhv iurp erwk wkh suhvhqw duwlfoh dqg wkrvh phqwlrqhg deryh e| dvvxplqj wkdw wkhuh lv d wdflw sulfh frooxvlrq ehwzhhq wkh ruljlqdo lqqrydwru dqg wkh lplwdwru lq d

*Txdolw| Odgghu* prgho1 Zkdw Vhjhuvwurp vhhnv wr h{sodlq lv zk| hqwuhsuhqhxuv lq wkh ulfk lqgxvwuldol}hg zruog frs| jrrgv iurp rwkhu upv lq wkh vdph uhjlrq/ dqg klv iudphzrun lv qrw vxlwhg iru dqdo|vlv ri lqwhudfwlrqv ehwzhhq ulfk dqg srru frxqwulhv1

5 Wkh prgho

Wkhuh duh wzr uhjlrqv/ ` +Zhvw, dqg . +Hdvw,/ zlwk srsxodwlrq vl}hv htxdo wr uE ' `c .1 Lq jhqhudo zh vkdoo dvvxph wkdw u` ' u.c dowkrxjk zh doorz u` 9'u. zkhq zh ghulyh wkh jurzwk htxdwlrqv1 Hdfk lqkdelwdqw vxssolhv rqh xqlw ri oderxu/ lv lqwhuqdwlrqdoo| lppreloh/ dqg wkhuh lv qr srsxodwlrq jurzwk1 Wkh frqvxphuv kdyh lghqwlfdo suhihuhqfhv/ dqg ghpdqg jrrgv iurp d prghuqE6dqg dq

surylqfhv zdv 53 wlphv kljkhu wkdq wudgh ehwzhhq Fdqdgldq surylqfhv dqg lqglylgxdo XV vwdwhv lq 4<;;1 PfFdooxp*v hvwlpdwhv kdyh ehhq dgmxvwhg grzqzdugv e| pruh uhfhqw uhvhdufk/ zklfk lv sduwo| gxh wr wkh idfw wkdw erwk lqirupdo dqg irupdo wudgh eduulhuv kdyh idoohq vkduso| ryhu wkh odvw ghfdghv1 Vhh Revwihog dqg Urjr +5333, iru glvfxvvlrq dqg uhihuhqfhv1

6

(8)

djulfxowxuh E5 vhfwru16 Zh devwudfw iurp wudglwlrqdo frpsdudwlyh dgydqwdjhv/ dqg dvvxph wkdw +vnloohg, oderxu lv wkh rqo| sulpdu| lqsxw1

Ghpdqg vlgh=

D uhsuhvhqwdwlyh frqvxphu lq uhjlrq kdv suhihuhqfhv ri wkh irup L '

"

]

f

*?

6Er#5Er3#

e34r_rc Ef #  +4, zkhuh 4 :f lv wkh vxemhfwlyh glvfrxqw udwh1

Wkh frqvxphu sulfhv iru wkh prghuq dqg wkh djulfxowxudo jrrg duh jlyhq e|

R6Er dqg R5Er/ uhvshfwlyho|1 Hdfk frqvxphu lqhodvwlfdoo| vxssolhv rqh xqlw ri oderxu/ dqg wkh lqwhuwhpsrudo exgjhw frqvwudlqw pd| frqvhtxhqwo| eh zulwwhq dv

"

]

f

dR6Er6Er nR5Er5Eroe3UfroE__r'

"

]

f

Ere3UfroE__rnlEf u +5, Wkh v|pero lEf ghqrwhv wkh suhvhqw ydoxh ri djjuhjdwh qdqfldo zhdowk lq uhjlrq/ wkh zdjh ohyho/ dqgo wkh lqwhuhvw udwh1

Ohw H eh frqvxphu h{shqglwxuh lq uhjlrq1 Xwlolw| pd{lpl}dwlrq wkhq lpsolhv _H*_|

H 'oEr4

Wkh fkrlfh ri qrplqdo ydoxhv grhv qrw dhfw wkh uhdo vlgh ri wkh hfrqrp|/ dqg lw wxuqv rxw wr eh frqyhqlhqw wr fkrrvh ` 1 Zlwk wklv fkrlfh ri qxphudluh wkh h{shqglwxuh ohyho lq hdfk uhjlrq lv frqvwdqw lq vwhdg| vwdwh/ vr wkdw lq erwk uhjlrqv zh kdyh oEr ' 4 dorqj wkh edodqfhg jurzwk sdwk +vhh Jurvvpdq dqg Khospdq/

4<<4,1

Vxsso| vlgh=

Wkh 50jrrg lv surgxfhg zlwk oderxu dv wkh rqo| lqsxw/ dqg zlwk d frqvwdqw uhwxuqv wr vfdoh whfkqrorj|1 Zh qrupdol}h vxfk wkdw xqlw oderxu uhtxluhphqw lv rqh/

6Vhyhudo qrwdwlrqv duh xvhg lq wkh olwhudwxuh iru zkdw zh fdoo wkh djulfxowxuh vhfwru1 Edvlfdoo|/

wklv vhfwru lv phdqw wr fryhu wkrvh sduwv ri wkh hfrqrp| zkhuh hfrqrplhv ri vfdoh duh lqvljqlfdqw1 Lq wklv vhqvh wkh Khfnvfkhu0Rkolq prgho/ iru lqvwdqfh/ fryhuv rqo| wudglwlrqdo vhfwruv1

7

(9)

dqg dvvxph wkdw wkh jrrg lv wudghg frvwohvvo|1 Frqvhtxhqwo|/

R5 'R5 '. +6, Wkh prghuq jrrg lv pdqxidfwxuhg e| xvlqj surgxfhu vhuylfhv/ qdqfldo vhuylfhv/

fdslwdo htxlsphqw dqg rwkhu glhuhqwldwhg lqwhuphgldwhv dv lqsxwv1 Lq rughu wr nhhs wkh prgho dqdo|wlfdoo| wudfwdeoh/ zh zloo dvvxph wkdw doo wkh lqwhuphgldwhv hqwhu v|pphwulfdoo| lqwr wkh surgxfwlrq ixqfwlrq iru wkh prghuq jrrg/ dqg wkdw qr rwkhu lqsxwv duh qhhghg17 E| ohwwlqj %& ghqrwh txdqwlw| ri ydulhw| qxpehu & zh zloo ohw wkh surgxfwlrq whfkqrorj| iru wkh prghuq jrrg eh jlyhq e| wkh FHV vshflfdwlrq

 '

% ? [

&'

%&j3j

& j

j3

+j : +7,

zkhuh?Er '?`Ern?.Erlv wkh zruog0vlgh dydlodeoh qxpehu ri ydulhwlhv dw wlphr1 Zh kdyh wkhuhe| dvvxphg wkdw wkh lqwhuphgldwhv duh wudghdeoh exw/ dv zloo ehfrph fohdu odwhu/ lw lv kdupohvv wr dvvxph wkdw wkh prghuq jrrg lv qrqwudghg1 Wkxv

 '6u lq htxloleulxp1

Wkh uhvwulfwlrq wkdw wkh hodvwlflw| ri vxevwlwxwlrq lq +7, lv juhdwhu wkdq rqh/

j : c lpsolhv wkdw qr lqsxw lv hvvhqwldo lq surgxfwlrq/ dqg lw lv hdv| wr vkrz wkdw wkh surgxfwlylw| ri wkh lqwhuphgldwh lqsxwv lv vwulfwo| lqfuhdvlqj lq ?18 Dv lq Hwklhu +4<;5,/ Urphu +4<;:,/ dqg Hydqv/ Krndsrkmd/ dqg Urphu +4<<;, zh lqwhusuhw wklv dv wkrxjk wkh surgxfwlrq surfhvv lv pruh vshfldol}hg wkh kljkhu wkh qxpehu ri lqwhuphgldwhv wkdw lv dydlodeoh1 Zh vkdoo wkxv wdnh ?Er dv dq lqgh{ ri wkh joredo whfkqrorjlfdo ohyho dw wlph r

E| fkrlfh ri vfdoh/ lw wdnhv rqh xqlw ri oderxu wr pdnh rqh xqlw ri surgxfhu vhuylfhv1 Doo surgxfhuv lq d jlyhq frxqwu| zloo fkdujh wkh vdph sulfh vlqfh wkh lqsxwv hqwhu v|pphwulfdoo| lqwr wkh surgxfwlrq ixqfwlrq dqg duh surgxfhg zlwk wkh vdph whfkqrorj|1 Zh zloo iroorz Gl{lw dqg Vwljolw} +4<::, dqg dvvxph wkdw ? lv

7Zh frxog hdvlo| kdyh dvvxphg wkdw wkh prghuq jrrg lv pdqxidfwxuhg e| xvlqj erwk oderxu dqg surgxfhu vhuylfhv/ exw wklv zrxog qrw dgg dq|wklqj qhz txdolwdwlyho|1

8Wklv lv prvw hdvlo| vhhq li zh dvvxph wkdw{n @ { bn> lq zklfk fdvh +7, vlpsolhv wr Pm @ q4 {= Zh wkhq vhh wkdw wkh dyhudjh surgxfwlylw| ri lqsxwv/ Pq{m @q44 > lv vwulfwo| lqfuhdvlqj lq q1

8

(10)

odujh1 Wklv doorzv xv wr devwudfw iurp vwudwhjlf lqwhudfwlrqv/ dqg zh fdq xvh wkh lqyhuvh hodvwlflw| uxoh wr qg wkdw wkhsJK sulfh htxdov

R ' j

1 +8,

Wkh lqwhuphgldwhv pd| eh wudghg/ exw rqo| dw d frvw1 Ohw^&Ereh wkhf1l1i1 sulfh ri jrrg&cl1h1/ lqfoxvlyh ri lqwhuqdwlrqdo wudqvdfwlrq frvwv1 E| wdnlqj wkh gxdo ri +7, wkh xqlw frvw ixqfwlrq iru wkh prghuq jrrg fdq eh zulwwhq dv

R6 '

?^Er3jn?^Er3j 

3j +9,

Lqqrydwlrq whfkqrorj|

Wkhuh zloo eh jurzwk lq wklv hfrqrp| li qhz ydulhwlhv ri lqwhuphgldwh jrrgv duh lqwurgxfhg wr wkh pdunhw1 Dv lq Ulyhud0Edwl} dqg Urphu*v +4<<4, ode0htxlsphqw prgho zh zloo dvvxph wkdw wkh lqqrydwlrq whfkqrorj| xvhv h{lvwlqj lqwhuphgldwhv dv lqsxwv1 Pruh vshflfdoo|/ zh zloo iroorz Hydqv/ Krndsrkmd/ dqg Urphu +4<<;, dqg ohw wkh frvw ixqfwlrq iru dq lqqrydwlrq eh jlyhq e|

' 

?n?

%?^3j n?^3j

?n?

&3j

+:,

Glhuhqwldwlrq ri htxdwlrq +:, vkrzv wkdw lqqrydwlrq frvwv ghfuhdvh e| rqh shu fhqw li wkh qxpehu ri ydulhwlhv lq hdfk frxqwu| lqfuhdvhv e| rqh shufhqw/ dqg wklv vshflfdwlrq zloo eh vkrzq wr jhqhudwh d frqvwdqw vwhdg| vwdwh jurzwk udwh1

Wkh ydoxh ri d up wkdw pdqxidfwxuhv lqwhuphgldwh jrrgv pxvw dw ohdvw htxdo lqqrydwlrq frvwv li dq hqwuhsuhqhxu vkdoo eh zloolqj wr lqyhvw lq ghyhorsphqw ri d qhz ydulhw|1 Zlwk srvlwlyh jurzwk dqg iuhh hqwu| lqwr wkh lqqrydwlyh vhfwru/ lw pxvw wkhuhiruh dozd|v eh wuxh wkdw

'1 +;,

Lplwdwlrq whfkqrorj|

Zh zloo dvvxph wkdw lqsxw uhtxluhphqw wr dfwxdoo|surgxfh lqwhuphgldwh jrrgv lv wkh vdph iru dq lplwdwru dqg dq lqqrydwru +zlwk xqlw oderxu uhtxluhphqw dv deryh,/

exw wkdw wkh dfwxdo lplwdwlrq surfhvv fdoov iru ohvv uhvrxufhv wkdq grhv lqqrydwlrq1 9

(11)

Iru dqdo|wlfdo frqyhqlhqfh wkh ghyhorsphqw frvwv iru dq lplwdwlrq duh vshflhg dv

' 'V +<,

zkhuh V 1 Wkh edvlf surgxfwlrq whfkqrorj| iru lplwdwlrq lv khqfh wkh vdph dv iru lqqrydwlrq/ exw zlwk d orzhu lqsxw uhtxluhphqw iru wkh iruphu19

Wkhuh lv iuhh hqwu| dovr lq lplwdwlrq1 Ghqrwh e| 6 wkh ydoxh ri pdnlqj dq lplwdwlrq1 Li lplwdwlrq wdnhv sodfh/ zh zloo wkhq kdyh

6 '' +43,

lq htxloleulxp1

6 Wkh Hdvw vshfldol}hg lq djulfxowxudo surgxfwlrq

Dv lq Edogzlq/ Pduwlq/ dqg Rwwdyldqr +4<<;, dqg Edogzlq dqg Iruvolg +5333, zh dvvxph wkdw wudgh lq surgxfhu vhuylfhv ehwzhhq wkh Zhvw dqg wkh Hdvw lqyroyhv vrph uhdo lqwhuqdwlrqdo wudqvdfwlrq frvwv1 Wkhvh wudqvdfwlrq frvwv duh prghoohg lq d pdqqhu zklfk lv zhoo nqrzq iurp wkh wudgh olwhudwxuh> ri hdfk xqlw vklsshg/ rqo|

* uhdfkhv lwv ghvwlqdwlrq E 1 Wkxv/ jurvv ghpdqg ri dq lpsruwhg jrrg lv wlphv kljkhu wkdq qhw ghpdqg1 Wklv phdqv wkdw wkh f1l1i1 sulfh ri dq lpsruwhg lqwhuphgldwh jrrg lv wlphv kljkhu wkdq wkh i1r1e1 sulfh1 Frqvhtxhqwo|/ li wkh sulfh ri d grphvwlfdoo| surgxfhg lqwhuphgldwh lq frxqwu| lv htxdo wrRcwkh sulfh ri wkdw jrrg lq frxqwu| htxdov R +9'

Ohw% %n%czkhuh% ghqrwhv grphvwlf ghpdqg iru dq lqwhuphgldwh jrrg surgxfhg lq uhjlrq dqg% ghqrwhv jurvv ghpdqg iurp uhjlrq iru wkh vdph jrrg Vxssrvh wkdw erwk uhjlrqv duh vshfldol}hg> wkh Hdvw lq wkh djulfxowxuh vhfwru dqg wkh

9Lq dq hpslulfdo vwxg| iru wkh XVD Pdqvhog hw do +4<;4, kdyh lghqwlhg vhyhudo vhfwruv zkhuh lplwdwlrq uhtxluhv ohvv hruw wkdq lqqrydwlrq/ dqg irxqg wkdw lplwdwlrq frvwv/ rq dyhudjh/ htxdo 98(

ri wkh ruljlqdo lqqrydwlrq frvwv1 Lw lv zruwk qrwlqj wkdw wkh| dovr irxqg wkdw sdwhqwv uduho| klqghu lplwdwlrq/ exw w|slfdoo| pdnh lw pruh h{shqvlyh1 Vrph sduw ri wkh lplwdwlrq frvwv pd| wkhuhiruh eh frqvlghuhg dv frvwv lqfxuuhg wr flufxpyhqw sdwhqw odzv/ vhh dovr Eduur dqg Vdod0l0Pduwlq +4<<8/

fk1;,1

:

(12)

Zhvw lq wkh prghuq vhfwru1: Oderxu pdunhw htxloleulxp lq wkh Zhvw fdq wkhq eh h{suhvvhg dv

u` '?`%` +44, Vlqfh frqvxphuv vshqg d vkduh # ri wkhlu lqfrph H rq wkh djulfxowxudo jrrg/

dqg hdfk xqlw ri 5 uhtxluhv rqh xqlw ri oderxu/ wkh oderxu pdunhw lq wkh Hdvw lv lq htxloleulxp zkhq

u. ' E# EH` nH.*. +45,

Ghqh } ?`*?` wr eh wkh jurzwk udwh ri lqqrydwlrqv lq wkh Zhvw1 Zh zloo irfxv rq vwhdg| vwdwh vroxwlrqv/ lq zklfk fdvh wkh vhfwru glylvlrq ri oderxu lv frqvwdqw1 Wkhq lw iroorzv iurp htxdwlrq +44, wkdw } ' ?`*?` ' %`*%`c zklfk phdqv wkdw ghpdqg iru hdfk ydulhw| idoov e| rqh shu fhqw zkhq wkh qxpehu ri ydulhwlhv lqfuhdvhv e| rqh shu fhqw1 Wkh hhfwlyh glvfrxqw udwh lv wkxv htxdo wr E4n} Vlqfh wkh lqvwdqwdqhrxv surw rz uhfhlyhg e| d uhsuhvhqwdwlyh up htxdov Z` ' ER` `%` ' R`%`*j wkh suhvhqw ydoxh ri dq lqqrydwlrq lv Z`*E4n}1 Wkh iuhh hqwu| frqglwlrq +;, pd| frqvhtxhqwo| eh uhirupxodwhg dv

R`%`

E4n}j '` +46,

:Vlqfh wkh Hdvw dqg wkh Zhvw duh dvvxphg wr eh lqwulqvlfdoo| v|pphwulf wkhuh zloo reylrxvo| h{lvw d v|pphwulf htxloleulxp/ l1h1/ dq htxloleulxp zkhuh wkh wzr uhjlrqv duh lghqwlfdo/ iru doo ohyhov ri lqwhuqdwlrqdo wudqvdfwlrq frvwv1 Krzhyhu/ lw lv zhoo nqrzq iurp wkh hfrqrplf jhrjudsk| olwhudwxuh +vhh Nuxjpdq dqg Yhqdeohv/ 4<<8/ dqg Ixmlwld/ Nuxjpdq dqg Yhqdeohv/ 4<<<, wkdw wkh v|pphwulf htxloleulxp pd| eh xqvwdeoh1 Wr vhh zk|/ vxssrvh wkdw wkh Zhvw iru vrph uhdvrq surgxfhv d odujhu vhw ri lqwhuphgldwh jrrgv wkdq grhv wkh Hdvw1 Wkhq wkh Zhvw pd| eh h{shfwhg wr kdyh wkh pdmrulw| ri uhvhdufk upv lq wkh ixwxuh/ ehfdxvh d vpdoohu vkduh ri wkh uhjlrq*v lqsxwv lv vxemhfw wr lqwhuqdwlrqdo wudqvdfwlrq frvwv +wklv lv d vr0fdoohg frvw olqndjh,1 Exw li wkh Zhvw hqgv xs zlwk d kljkhu qxpehu ri uhvhdufk upv wkdq wkh Hdvw/ wkhq dovr ixwxuh ghpdqg iru lqqrydwhg jrrgv lv kljkhvw lq wkh Zhvw +ghpdqg olqndjh,1 Wkhvh vhoi0uhlqiruflqj fhqwulshwdo irufhv pd| ohdg wr dq lqwhuqdwlrqdo frqfhqwudwlrq ri wkh prghuq vhfwru1 Rq wkh rwkhu kdqg/ frqfhqwudwlrq pd| lqwhqvli|

surgxfw pdunhw frpshwlwlrq dqg ohdg wr h{fhvvlyh ghpdqg iru oderxu1 Wkhvh fhqwulixjdo irufhv whqg wr jhqhudwh lqwhuqdwlrqdo ghfhqwudol}dwlrq/ exw wkh v|pphwulf htxloleulxp lv qhyhu vwdeoh lq wkh fdvhv zh frqvlghu1 Wkh rqo| vwdeoh htxloleulxp lv lqvwhdg rqh zkhuh wkh Zhvw hqgv xs zlwk wkh pdmrulw| ri wkh upv lq wkh prghuq vhfwru dqg zkhuhzH? zZ1

;

(13)

Hyhq wkrxjk wkh Hdvw lv uhodwlyho| srru +. `, dqg grhv qrw xqghuwdnh uhvhdufk/ wkh vwhdg| vwdwh jurzwk udwh lq uhdo shu fdslwd frqvxpswlrq lv wkh vdph lq wkh wzr uhjlrqv1 Wklv uh hfwv wkh idfw wkdw frxqwulhv jdlq dffhvv wr whfkqrorjlhv ghyhorshg e| wkhlu wudglqj sduwqhuv e| sduwlflsdwlqj lq wudgh1; Lq Dsshqgl{ D5zh suryh wkh iroorzlqj=

Sursrvlwlrq 4= Vxssrvh wkdw erwk uhjlrqv duh vshfldol}hg> wkh Hdvw lq wkh djul0 fxowxuh vhfwru/ dqg wkh Zhvw lq wkh prghuq vhfwru1 Lq wklv fdvh wkh frpprq jurzwk udwh lq uhdo frqvxpswlrq htxdov >'#}*Ejc zkhuh

} 'u`*j4 +47,

Wkh jurzwk udwh lv wkxv lqfuhdvlqj lq wkh vl}h ri wkh oderxu irufh ri wkh lqqrydwlqj frxqwu|/ dqg wklv lv d vwdqgdug vfdoh hhfw lq hqgrjhqrxv jurzwk prghov1 Htxdwlrq +47, pruhryhu vkrzv wkdw } lv ghfuhdvlqj lq j +ehfdxvh d kljk j phdqv wkdw wkh jrrgv duh srru frpsohphqwv, dv zhoo dv lq 4 +vlqfh d kljk 4 lqfuhdvhv wkh glvfrxqw udwh,1 Zh ixuwkhu vhh wkdw wkh frqvxpswlrq jurzwk udwh lqfuhdvhv lq #c uh hfwlqj wkdw whfkqrorjlfdo surjuhvv wdnhv sodfh lq wkh prghuq vhfwru1

Lw vkrxog eh qrwhg wkdw wkh vwuhqjwk ri wkh fhqwulshwdo irufhv wkdw jhqhudwh dq lqwhuqdwlrqdo frqfhqwudwlrq ri wkh uhvhdufk vhfwru lv zhdnhqhg li wudqvdfwlrq frvwv duh uhgxfhg> hqwuhsuhqhxuv lq wkh Hdvw zloo qrw eh vxevwdqwldoo| glvdgydqwdjhg iurp wkrvh lq wkh Zhvw xqohvv lqwhuqdwlrqdo wudqvdfwlrq frvwv duh uhodwlyho| kljk1 Lq idfw/

lw pxvw eh htxdoo| surwdeoh wr surgxfh lqwhuphgldwh jrrgv lq wkh wzr uhjlrqv li ' f +wudgh lv frvwohvv,/ dqg zh fdqqrw kdyh dq htxloleulxp zkhuh wkh Hdvw lv frpsohwho| vshfldol}hg lq surgxfwlrq ri wkh djulfxowxudo jrrg li wudqvdfwlrq frvwv duh vx!flhqwo| orz1 Iurp wklv lw dovr iroorzv wkdw wkh lqwhuqdwlrqdo zdjh jds whqgv wr eh vpdoohu wkh orzhu wkh ohyho ri lqwhuqdwlrqdo wudqvdfwlrq frvwv +zlwk . ' ` dw wkh olplw ' f

;Qrwh wkdw wklv wv zhoo zlwk wkh revhuydwlrq wkdw wkhuh grhv qrw vhhp wr eh dq| v|vwhpdwlf uhodwlrqvkls ehwzhhq orqj0whup jurzwk dqg shu fdslwd lqfrph +h1j1 Oxfdv 4<;;,1 Vhh dovr Edogzlq/

Eudfrqqlhu dqg Iruvolg +4<<;, iru d glvfxvvlrq ri wklv srlqw1

<

(14)

614 Grhv wkh Hdvw kdyh lqfhqwlyhv wr lplwdwhB

Hyhq li lv lw lv xqsurwdeoh iru wkh Hdvw wr lqqrydwh zkhq wudqvdfwlrq frvwv duh kljk/

lw pd| eh surwdeoh wr lplwdwh jrrgv iurp wkh Zhvw +vlqfh lplwdwlrq frvwv duh orzhu wkdq lqqrydwlrq frvwv,/ Zh vkdoo iroorz Jurvvpdq dqg Khospdq +4<<4, dqg dvvxph wkdw wkhuh lv Ehuwudqg frpshwlwlrq ehwzhhq wzr surgxfhuv zkr pdqxidfwxuh wkh vdph surgxfw/ dqg wklv dprxqwv wr olplw sulflqj li wkh suhihuuhg prqrsro| sulfh lv kljkhu wkdq wkh ulydo*v pdujlqdo frvw1 Wkhuhiruh lw lv xqsurwdeoh wr lqfxu {hg frvwv lq rughu wr frs| grphvwlf surgxfwv/ zklfk lq sduwlfxodu suhfoxghv lplwdwlrq wr wdnh sodfh lq wkh Zhvw1

Vlqfh lw wdnhv rqh xqlw ri oderxu wr pdnh rqh xqlw ri surgxfhu vhuylfhv/ zh nqrz wkdw erwk lplwdwruv dqg lqqrydwruv zrxog rswlpdoo| fkdujh wkh i1r1e1 sulfh R ' j3j +f1i1 htxdwlrq +8,,1 Wkh sulfh ri dq lpsruwhg surgxfhu vhuylfh lq frxqwu| zloo wkhuhiruh qhyhu eh kljkhu wkdq R + 9' Qhlwkhu zloo lw eh orzhu wkdq E9'c ehfdxvh wkdw zrxog lpso| d vdohv sulfh ehorz pdujlqdo frvwv1

Iljxuh 4 pd| eh xvhixo lq rughu wr vhh krz wkh ohyho ri wudqvdfwlrq frvwv dhfwv wkh sulfhv wkdw d srvvleoh lplwdwru lq wkh Hdvw zloo fkdujh1 Wkh ohiw0kdqg sdqho ri Iljxuh 4 looxvwudwhv wkh rxwfrph lq wkh krph pdunhw +wkh Hdvw, iru dq lplwdwru/

dqg vkrzv wkdw R. ` zkhq wudqvdfwlrq frvwv duh deryh fd1 4171< Wklv phdqv wkdw wkh suhihuuhg prqrsro| sulfh ri dq lplwdwru lq wkh Hdvw lv orzhu wkdq wkhSs h{sruw frvw sulfh ri wkh ruljlqdo lqqrydwru lq wkh Zhvw1 Dq lplwdwru lq wkh Hdvw zrxog frqvhtxhqwo| fkdujh lwv prqrsro| sulfh grphvwlfdoo| 0 dqg wkxv eh xqdhfwhg e| wkh ruljlqdo lqqrydwru 0 dv orqj dv :4171 Ehorz wklv ohyho ri wudqvdfwlrq frvwv wkh rswlpdo sulfh zrxog eh +lqqlwhvlpdoo| orzhu wkdq,`1 Wkh uljkw0kdqg sdqho ri Iljxuh 4 olnhzlvh looxvwudwhv wkh rxwfrph lq wkh Zhvw/ exw R. +qrw vkrzq, lv dozd|v kljkhu wkdq ` iru wkh fkrvhq sdudphwhu ydoxhv1 Wkhuhiruh dq lplwdwru lv xqdeoh wr fkdujh wkh suhihuuhg prqrsro| sulfh rq wkh h{sruw pdunhw/ exw wkhuh lv vwloo urrp iru d srvlwlyh surw udwh vlqfh . ` iru 41<1

Qrwh wkdw uhgxfhg wudqvdfwlrq frvwv whqg wr fxw wkh surw pdujlq iru dq lplwdwru erwk grphvwlfdoo| dqg deurdg zkhq lv ehorz dssur{lpdwho| 4171 Iljxuh 4 wkxv

<Vhh Dsshqgl{ D4 iru sdudphwhu ydoxhv1

43

(15)

lqglfdwhv wkdw lplwdwlrq lv xqsurwdeoh li wudqvdfwlrqv frvwv duh orz/ lq zklfk fdvh zh pd| h{shfw erwk uhjlrqv wr lqqrydwh1 Wkh idfw wkdw h{sruw ri lplwdwhg jrrgv wr wkh Zhvw lv xqsurwdeoh li :bixuwkhu lqglfdwhv wkdw zh zloo vhh qr lplwdwlrq iru kljk ohyhov ri wudqvdfwlrq frvwv143 Wkh odwwhu dovr iroorzv iurp wkh idfw wkdw lw lv h{shqvlyh wr lpsruw wkh lqsxwv wkdw duh uhtxluhg wr pdnh dq lplwdwlrq li lv kljk1

0.5 1.0 1.5 2.0

1.0 1.2 1.4 1.6 1.8

τ S(

τ Z:

Z(

0.50 0.75 1.00 1.25

1.0 1.2 1.4 1.6 1.8 2.0

Z:

τZ(

Z(

τ

Iljxuh 4= Sulfhv ri dq lplwdwhg jrrg grphvwlfdoo| dqg deurdg1

7 Lplwdwlrq xqghu lqwhuphgldwh wudqvdfwlrq frvwv

Vxssrvh wkdw wkh Hdvw lv vshfldol}hg lq surgxfwlrq ri wkh djulfxowxudo jrrg/ dqg wkdw wudqvdfwlrq frvwv duh wrr kljk wr pdnh lqqrydwlrq surwdeoh iru wkh uhjlrq1 Krz fdq zh qg rxw li wklv lv dq htxloleulxp/ ru zkhwkhu lq idfw lw zrxog eh surwdeoh iru d vlqjoh hqwuhsuhqhxu lq wkh Hdvw wr lplwdwh d jrrg iurp wkh ZhvwB

Dvvxph uvw wkdw wkh ohyho ri wudqvdfwlrq frvwv lv vxfk wkdw R. ` dqg . ` R. +f1i1 Iljxuh 4,1 Lq wklv fdvh d srvvleoh lplwdwru lq wkh Hdvw zrxog fkrrvh wkh sulfh R. grphvwlfdoo| dqg wkh Ss sulfh ` deurdg +gxh wr olplw sulflqj frpshwlwlrq,1 Wkh uhvshfwlyh surw pdujlqv duh ER. . ' R.*j

43Lw zrxog srvvleo| eh surwdeoh wr lplwdwh iruhljq jrrgv hyhq dw orz ohyhov ri wudqvdfwlrq frvwv +ru frs| d grphvwlf jrrg/ iru wkdw pdwwhu, li zh kdg dvvxphg Frxuqrw frpshwlwlrq lqvwhdg ri Ehuwudqg frpshwlwlrq ehwzhhq lqqrydwruv dqg lplwdwruv1 Krzhyhu/ wklv zrxog pdnh wkh prgho pruh frpsoh{ zlwkrxw fkdqjlqj wkh edvlf uhvxowv1

44

(16)

dqgE` .1 Qhw ghpdqg iru dq lpsruwhg jrrg lq wkh Hdvw lv %` .*c zlwk d f1l1i1 xqlw sulfh htxdo wrR`Vlqfh wkh hodvwlflw| ri ghpdqg lv j dq lplwdwru zrxog wkhuhiruh h{shfw wr vhooERR.

`3j%` .

dw krph dqg/ vlploduo|/ ER`

` 3j%` ` deurdg1 Wkh lqvwdqwdqhrxv surw rz iru d srwhqwldo lplwdwru lq wkh Hdvw +vxshuvfulsw6 iru lplwdwlrq, lv frqvhtxhqwo|

Z6. ' E R.

R`3j%` .

n E`

R` 3j%` `

Lq rughu wr pdnh wkh vxevhtxhqw htxdwlrqv hdv| wr lqwhusuhw/ lw lv xvhixo wr qg h{solflw h{suhvvlrqv iru %` . dqg %` ` Iluvw/ zh nqrz wkdw ?`R`%` . ' #H. Wkh uhdvrq lv wkdw lq wkh Hdvw surgxfhu vhuylfhv duh rqo| xvhg wr pdnh frqvxphu jrrgv/

dqg wkh frqvxphuv doorfdwh d vkduh # ri wkhlu lqfrph wr jrrgv iurp wkh prghuq vhfwru1 Vhfrqgo|/ zh nqrz wkdw ?`R`%` ` ' R`u` E#H`1 Wkh uhdvrq iru wklv lv wkdw wkh ydoxh ri surgxfwlrq lq wkh Zhvw lv htxdo wrR`u` +hdfk xqlw ri oderxu surgxfhv rqh xqlw ri surgxfhu vhuylfhv,/ dqg wkdwE#H` ri wkh uhjlrq*v lqfrph lv vshqw rq wkh djulfxowxudo jrrg1 Diwhu d voljkw uhirupxodwlrq/ zh wkxv qg wkdw

Z6. ' R.

R` 3j

#H.

?`j n `

R`

3j

` . R`

R`u` E#H`

?`

+48, Vlqfh wkh frvw ri pdnlqj dq lplwdwlrq lv '. 'V. 'V`c dqg wkh glvfrxqw udwh lv E4n}c lw lv surwdeoh iru d vlqjoh hqwuhsuhqhxu lq wkh Hdvw wr lplwdwh d jrrg iurp wkh Zhvw li

Z6.

4n} V` ''. +49, Qrwh wkdw wkhuh duh wkuhh hhfwv ri uhgxfhg wudqvdfwlrq frvwv iurp d srwhqwldo lplwdwru*v srlqw ri ylhz1 Wkh qhjdwlyh hhfw/ vkrzq e| wkh uvw whup lq wkh h{0 suhvvlrq iru Z6` lq htxdwlrq +48,/ lv wkdw wkh krph pdunhw ehfrphv ohvv surwhfwhg1 Wkh srvlwlyh lpdjh ri wklv/ vkrzq e| wkh vhfrqg whup lq +48,/ lv wkdw wkh dffhvv wr wkh odujh h{sruw pdunhw lpsuryhv1 Ilqdoo|/ uhgxfhg wudqvdfwlrq frvwv lpso| wkdw lpsruwhg lqsxwv ehfrph ohvv h{shqvlyh/ uhgxflqj wkh u1k1v1 ri lqhtxdolw| +49,1

Vxssrvh wkdw lplwdwlrq lv surwdeoh/ dqg wkdw ?. jrrgv kdyh ehhq frslhg e|

hqwuhsuhqhxuv lq wkh Hdvw1 Li ? jrrgv kdyh ehhq ghyhorshg lq wkh Zhvw vr idu/ rqo|

?` ' ??. duh vwloo surgxfhg lq wkdw uhjlrq1 Wkh lqqrydwlrq frvwv lq wkh Zhvw 45

(17)

dqg wkh lplwdwlrq frvwv lq wkh Hdvw duh wkhq uhvshfwlyho| jlyhq e|

` ' ? k?

`R3j` n?.3j`

?

l3j c dqg '. ' ?Vk?

.R3j. n?`ER`3j

?

l3j

+4:,

Wkh sulfh` grhv qrw ghshqg rq wkh ohyho ri wudqvdfwlrq frvwv gluhfwo|/ exw lqgluhfwo|

lw lv d ixqfwlrq ri wkurxjk wkh vsolw ri? ehwzhhq?` dqg?.1 Lq vhfwlrq 714 zh zloo glvfxvv lq ghwdlo krz lplwdwlrq dhfwv lqqrydwlrq lqfhqwlyhv/ exw zh fdq lpphgldwho|

lghqwli| rqh srvlwlyh hhfw> lw uhgxfhv wkh lqqrydwlrq frvwv1 Wklv lv fohdu iurp ` lq htxdwlrq +4:,/ zklfk vkrzv wkdw wkh sulfh ri dq lpsruwhg +lplwdwhg, jrrg lv rqo|

`/ zkloh wkh ruljlqdo lqqrydwru fkdujhgR`

Iru orzhu ohyhov ri wudqvdfwlrq frvwv wkh lplwdwru pxvw fkdqjh wr olplw sulflqj vwudwhjlhv dovr grphvwlfdoo|/ ehfdxvh R. h{fhhgv `Lplwdwlrq frvwv'. dqg lqqr0 ydwlrq frvwv` duh wkhq jlyhq e|

'. ' V

?

?`ER` n?.E`3j

?

3j

'V` +4;, Lq wkh vwhdg| vwdwh zh pxvw kdyh wkh vdph jurzwk udwh ri lqqrydwlrqv dqg lplwdwlrqv +rwkhuzlvh?.*?` zrxog dssurdfk }hur ru rqh,/ ghqrwhg e|}6 ehorz1 Lqghshqghqw ri zkhwkhu wkh lplwdwru pxvw xvh olplw sulflqj rqo| deurdg ru erwk grphvwlfdoo| dqg deurdg/ zh qg +vhh Dsshqgl{ D6,=

Sursrvlwlrq 5= Vxssrvh wkdw wkh Hdvw lplwdwhv jrrgv iurp wkh Zhvw1 Lq wklv fdvh wkh joredo jurzwk udwh lq uhdo frqvxpswlrq htxdov >'#}6*Ejc zkhuh

}6 ' R`

?` u`

j ?`

? 4c +4<,

dqg R`

?` : +53,

E| frpsdulqj htxdwlrqv +47, dqg +4<, zh lpphgldwho| vhh wkdw=

Ohppd 4= Wkh joredo jurzwk udwh lq uhdo frqvxpswlrq lv juhdwhu zkhq wkh Hdvw lplwdwhv jrrgv iurp wkh Zhvw wkdq zkhq wkh Hdvw lv vshfldol}hg lq wkh djulfxowxuh vhfwru1

46

(18)

Wkh Hdvw*v glvdgydqwdjh zlwk uhvshfw wr pdunhw dffhvv idoov li lqwhuqdwlrqdo wudqv0 dfwlrq frvwv duh uhgxfhg1 Wklv pdnhv lplwdwlrq pruh surwdeoh1 Wkhuhiruh d uhgxf0 wlrq ri lpsolhv wkdw ?. lqfuhdvhv uhodwlyh wr ?` dqg wkdw lqqrydwlrq frvwv ` ghfuhdvhv1 E| lqvshfwlrq ri htxdwlrq +4<, zh wkxv lpphgldwho| qg=

Ohppd 5= Vxssrvh wkdw zh duh lq dq htxloleulxp zkhuh wkh Hdvw lplwdwhv jrrgv iurp wkh Zhvw1 Lq wklv fdvh uhgxfhg lqwhuqdwlrqdo wudqvdfwlrq frvwv lqfuhdvh erwk wkh lplwdwlrq udwh dqg wkh jurzwk udwh lq uhdo frqvxpswlrq1

Lq rughu wr xqghuvwdqg wkh lqwxlwlrq ehklqg Ohppd 4 dqg Ohppd 5/ lw lv qhfhv0 vdu| wr xqghuvwdqg wkh hhfwv ri lplwdwlrq lq wkh Hdvw rq wkh lqqrydwlrq lqfhqwlyhv lq wkh Zhvw1 Wklv lv glvfxvvhg pdwkhpdwlfdoo| lq Dsshqgl{ D7/ zkloh zh rhu d pruh lqirupdo wuhdwphqw lq wkh qh{w vhfwlrq1

714 Wkh olqn ehwzhhq lqqrydwlrq dqg lplwdwlrq lqfhqwlyhv

Vxssrvh wkdw zh duh lq dq htxloleulxp zkhuh lplwdwlrq wdnhv sodfh/ dqg ohw6?.

*?` eh wkh vkduh ri wkh jrrgv suhvhqwo| surgxfhg lq wkh Zhvw wkdw lv lplwdwhg e|

hqwuhsuhqhxuv lq wkh Hdvw shu xqlw ri wlph1 Vlqfh doo qrq0lplwdwhg jrrgv duh frqvlg0 huhg lghqwlfdo e| d srwhqwldo lplwdwru/ wkh| vkrxog dovr kdyh wkh vdph suredelolw|

ri ehlqj frslhg1 Zh fdq wkxv lqwhusuhw 6 dv wkh lqvwdqwdqhrxv suredelolw| wkdw dq| jlyhq surgxfhu vhuylfh lv lplwdwhg1 Wkh frqvxphuv zloo krog d zhoo glyhuvlhg sruwirolr ri vkduhv/ dqg lq wkh vwhdg| vwdwh wkh h{shfwhg ydoxh ri dq lqqrydwlrq zloo eh htxdo wr ghyhorsphqw frvwv=44

` ' R`%`

jE4n}n6 '` +54, Iljxuh 5pd| eh xvhixo lq rughu wr xqghuvwdqg wkh lqwhudfwlrq ehwzhhq lqqrydwlrq dqg lplwdwlrq1 Doo pdunhwv lq wkh Hdvw dv zhoo dv lq wkh Zhvw duh lq htxloleulxp dorqj wkh fxuyhu_` 'ur`/ h{fhsw wkdw` srvvleo| glhuv iurp`1 Deryh wklv fxuyh wkhuh lv h{fhvv ghpdqg iru oderxu lq wkh Zhvw + u_` : ur` ,/ dqg h{fhvv vxsso| ri oderxu ehorz wkh fxuyh +u_` ur` ,1 Wkh fxuyh lv xszdug vorslqj ehfdxvh d kljkhu

44D irupdo surri lv jlyhq lq Dsshqgl{ D81

47

(19)

udwh ri lplwdwlrq uhohdvhv oderxu lq wkh Zhvw/ dqg wkhuhiruh doorzv d odujhu gholyhu|

ri lqwhuphgldwh jrrgv wr wkh uhvhdufk vhfwru +iru dq| jlyhq frqvxphu ghpdqg,1 Wklv hhfw frqvhtxhqwo| jlyhv xv d srvlwlyh uhodwlrqvkls ehwzhhq 6 dqg }145 Dorqj wkh fxuyh ` '`/ zkhuh wkh oderxu pdunhw lq wkh Zhvw lv srvvleo| lq glvhtxloleulxp/

lqqrydwlrqv h{dfwo| euhdn hyhq/ zkloh wkh qhw suhvhqw ydoxh ri uhvhdufk lv srvlwlyh +` : `, ehorz wkh fxuyh dqg qhjdwlyh deryh wkh fxuyh +` `,1 Wkh fxuyh lv grzqzdug vorslqj ehfdxvh wkh h{shfwhg qhw suhvhqw ydoxh ri pdnlqj dq lqqrydwlrq ghfuhdvhv zkhq wkh lplwdwlrq udwh lqfuhdvhv1 Wklv uh hfwv erwk wkh idfw wkdw d kljkhu 6lqfuhdvhv wkh suredelolw| wkdw d jlyhq eudqg lv frslhg 0 lpso|lqj d kljkhu hhfwlyh glvfrxqw udwh E4n}n6 0 dqg wkdw lqqrydwruv orrvh pdunhw vkduhv wr orz sulfh frpshwlwruv1 Qrwh/ krzhyhu/ wkdw` '` lv uhodwlyho| dw1 Wkh reylrxv uhdvrq iru wklv lv wkdw lplwdwlrq uhgxfhv lqqrydwlrq frvwv`Lq dgglwlrq/ djjuhjdwh ghpdqg iru lqwhuphgldwh jrrgv pd| dovr lqfuhdvh> gluhfwo| ehfdxvh lplwdwruv xvh lqwhuphgldwh jrrgv dv lqsxwv/ dqg lqgluhfwo| ehfdxvh d kljkhu 6 pljkw lqfuhdvh lqfrph lq wkh Hdvw1

30 % 40 % 50 % 60 %

0.5 % 1.0 % 1.5 % 2.0 % 2.5 % J

P I

III

II IV

A

E

B

/: /:

Y: 3:

G V

Iljxuh 5= Lqwhudfwlrq ehwzhhq lqqrydwlrq dqg lplwdwlrq1

Erwk wkh qdqfldo pdunhw dqg wkh oderxu pdunhw duh lq htxloleulxp dw srlqw . lq Iljxuh 5/ zkloh wkhuh lv xqhpsor|phqw lq txdgudqwv L dqg LL/ dqg sxuh surwv

45Dqdorjxh oderxu vdylqj hhfwv lq wkh ulfk uhjlrq duh d pdmru uhdvrq zk| lplwdwlrq vshhgv xs wkh joredo jurzwk udwh lq Jurvvpdq dqg Khospdq +4<<4,1

48

(20)

lq txdgudqwv L dqg LY146 Lpdjlqh wkdw iru vrph uhdvrq zh duh dw d srlqw olnh zkhuh erwk6 dqg} duh ehorz wkhlu htxloleulxp ydoxhv1 Khuh wkhuh lv h{fhvv vxsso|

ri oderxu lq wkh Zhvw/ dqg wklv sxwv d grzqzdug suhvvxuh rq wkh uhjlrqv zdjhv uhodwlyh wr wkrvh lq wkh Hdvw1 Wkhuhe| wkh frpshwlwlyhqhvv ri wkh Zhvw lpsuryhv +wkh Hdvw*v frvw dgydqwdjh lv uhgxfhg,1 Frqvhtxhqwo|/ lw ehfrphv ohvv surwdeoh iru hqwuhsuhqhxuv lq wkh Hdvw wr surylgh surgxfhu vhuylfhv/ dqg 6 ghfuhdvhv1 Vlpxo0 wdqhrxvo|/ wkh jurzwk udwh lq wkh Zhvw vshhgv xs +} lqfuhdvhv, ehfdxvh lqqrydwruv revhuyh sxuh surwv1 Dw srlqw wkh oderxu pdunhw lq wkh Zhvw lv lq htxloleulxp/

exw wkh jurzwk udwh vwloo lqfuhdvhv ehfdxvh ` : `1 Frqvhtxhqwo|/ ghpdqg iru lqwhuphgldwh jrrgv iurp wkh uhvhdufk vhfwru lqfuhdvhv ixuwkhu1 Rwkhu wklqjv ehlqj htxdo/ wklv fdxvhv oderxu vkruwdjh lq wkh Zhvw dw wkh suhydlolqj zdjhv1 Wkhuhiruh wkh frpshwlwlyhqhvv lq wkh Hdvw lpsuryhv/ dqg lplwdwlrq ehfrphv pruh surwdeoh +6 lqfuhdvhv,1 Wklv surfhvv frqwlqxhv xqwlo zh uhdfk htxloleulxp srlqw ./ zkhuh pruh lplwdwlrq lq wkh Hdvw kdv fdxvhg d kljkhu lqqrydwlrq udwh lq wkh Zhvw1 Wklv h{sodlqv wkh orjlf ehklqg Ohppd 41

Qh{w frqvlghu wkh frqvhtxhqfhv ri d uhgxfwlrq lq 1 Uhgxfhg wudqvdfwlrq frvwv jlyh wkh Hdvw ehwwhu pdunhw dffhvv wr wkh odujh Zhvw pdunhw/ dqg lqfuhdvh wkh zdjh ohyho .1 Iru dq| jlyhq 6 wklv lpsolhv d kljkhu ghpdqg iru prghuq jrrgv/ dqg wkh up ydoxh ` lqfuhdvhv1 Wkh fxuyh ` ' ` lv frqvhtxhqwo| vkliwhg xszdugv/ dv vkrzq lq Iljxuh 61 Exw wkh kljkhu frqvxphu h{shqglwxuh lq wkh Hdvw dovr hqwdlov h{fhvv ghpdqg iru oderxu lq wkh Zhvw/ vr wkhu_` 'ur` fxuyh lv vkliwhg grzqzdugv1 Frpsduhg wr wkh lqlwldo htxloleulxp/ uhgxfhg wudqvdfwlrq frvwv kdyh ohg wr sxuh surwv iru lqqrydwruv dqg oderxu vkruwdjh lq wkh Zhvw1 Htxloleulxp lv wkhq uhvwruhg e| lqfuhdvlqj erwk wkh lplwdwlrq vkduh 6 dqg wkh lqqrydwlrq udwh} +vlplodu wr wkh surfhvv ghvfulehg iru Iljxuh 5/ txdgudqw LY,147 Wklv h{sodlqv Ohppd 51

46Qrwh wkdw Iljxuh 5 lv qrw uhdoo| d skdvh gldjudp/ dqg zh gr qrw dwwhpsw wr h{sodlq zk| wkhuh vkrxog hyhu eh glvhtxloleulxp lq wkh oderxu pdunhw ru lq wkh qdqfldo pdunhw1 Wkh glvfxvvlrq lv rqo| phdqw wr kljkoljkw wkh irufhv dw zrun1

47Lq sulqflsoh/ wkhvh fxuyh vkliwv frxog lpso| d kljkhupdqg d orzhu jlq wkh qhz htxloleulxp/

exw zh douhdg| nqrz iurp htxdwlrq +4<, wkdw wudgh olehudol}dwlrq kdv srvlwlyh jurzwk hhfwv1

49

(21)

3 0 % 4 0 % 5 0 % 6 0 %

0 .5 % 1 .0 % 1 .5 % 2 .0 % 2 .5 % 3 .0 % τ= 1 .3 0

τ= 1 .2 5

P J

Y: 3: /:G /:V

Iljxuh 6= Jurzwk hhfwv ri wudgh olehudol}dwlrq1

8 Lplwdwlrq xqghu prghudwh wudqvdfwlrq frvwv

Iurp Ohppd 4 zh nqrz wkdw lplwdwlrq vshhgv xs wkh jurzwk udwh iru vrph lqwhu0 phgldwh ohyho ri wudqvdfwlrq frvwv/ gxh wr wkh idfw wkdw wkh Hdvw rwkhuzlvh zrxog eh vshfldol}hg lq djulfxowxudo surgxfwlrq1 Iru orzhu ohyhov ri wudqvdfwlrq frvwv/ krz0 hyhu/ erwk uhjlrqv pd| lq sulqflsoh eh deoh wr lqqrydwh +vhh dovr Vhfwlrq 614,1 Lq wklv fdvh Ohppd 4 lv qr orqjhu uhohydqw> wkh txhvwlrq lv wkhq udwkhu zkhwkhu lplwdwlrq lv ehqhfldo dqg surwdeoh frpsduhg wr d vlwxdwlrq zkhuh erwk uhjlrqv lqqrydwh1

Zh zloo vkrz wkdw zh kdyh d xqltxh htxloleulxp zkhuh erwk uhjlrqv lqqrydwh zkhq lqwhuqdwlrqdo wudqvdfwlrq frvwv duh vx!flhqwo| orz/ exw wkdw wkhuh h{lvw pxowlsoh htxloleuld iru vrph prghudwh ohyhov ri wudqvdfwlrq frvwv1 Lq rqh ri wkhvh htxloleuld wkh Hdvw lplwdwhv jrrgv iurp wkh Zhvw 0 wkh lplwdwlrq htxloleulxp/ zkloh erwk uhjlrqv lqqrydwh lq wkh rwkhu 0 wkh lqqrydwlrq htxloleulxp1 Zkhwkhu wkh hfrqrp| hqgv xs lq wkh uvw ru wkh vhfrqg htxloleulxp kdv hhfwv erwk rq wkh joredo jurzwk udwh dqg rq wkh lqwhuqdwlrqdo zdjh jds/ dqg zh zloo vwduw wkh dqdo|vlv e| frpsdulqj wkh jurzwk udwhv lq wkh wzr htxloleuld1

4:

(22)

814 Jurzwk xqghu lplwdwlrq dqg lqqrydwlrq

Vxssrvh wkdw wkh zruog hfrqrp| lv lq dq htxloleulxp zkhuh erwk uhjlrqv lqqrydwh1 Lw lv wkhq vwudljkw iruzdug wr vkrz wkdw=

Sursrvlwlrq 6= Frqvlghu dq htxloleulxp zkhuh erwk wkh Hdvw dqg wkh Zhvw lqqr0 ydwh1 Lq wklv fdvh wkh joredo jurzwk udwh lq uhdo frqvxpswlrq htxdov >'#}*Ejc zkhuh

} ' R`

?`` u`

j 4c +55,

dqg R`

?`` : +56,

Frpsdulqj htxdwlrqv +4<, dqg +5 5 , zh vhh wkdw lw lv qrw reylrxv zkhwkhu wkh jurzwk udwh lv kljkhvw zkhq wkh Hdvw lqqrydwhv ru lplwdwhv1 Dq rxwfrph zkhuh erwk uhjlrqv lqqrydwh pd| jhqhudwh kljkhu jurzwk wkdq rqh zkhuh wkh Hdvw lplwdwhv li R`*E?`` : c zkloh wkh jurzwk udwh zlwk lplwdwlrq reylrxvo| lv kljkhvw li R`*E?``  Wkh dpeljxrxv jurzwk hhfwv ri lplwdwlrq duh looxvwudwhg e|

Iljxuh 7/ zkhuh wkh fxuyh}} vkrzv wkh jurzwk udwh lq wkh lqqrydwlrq htxloleulxp dqg wkh fxuyh }6}6 vkrzv wkh jurzwk udwh lq wkh lplwdwlrq htxloleulxp1 Dorqj wkh grwwhg sduw ri}} lqqrydwlrq lq wkh Hdvw lv qr orqjhu dq htxloleulxp rxwfrph li zh doorz lplwdwlrq wr wdnh sodfh1

4;

(23)

40 % 45 % 50 % 55 % 60 %

1.0 1.1 1.2 1.3 1.4 1.5 1.6

τ

τ τ

J JP

J

J JP

JP

τ τ

Iljxuh 7= Jurzwk dqg lqwhuqdwlrqdo wudqvdfwlrq frvwv1

Iljxuh 7 vkrzv wkdw wkh srvvlelolw| wr lplwdwh kdv wkh iroorzlqj frqvhtxhqfhv=

Sursrvlwlrq 7= Vxssrvh wkdw

+l, e1 Lq wklv fdvh zh kdyh d xqltxh htxloleulxp zkhuh wkh Hdvw lplwdwhv1 Wkh joredo jurzwk udwh lq uhdo frqvxpswlrq lv kljkhu wkdq li lplwdwlrq zhuh qrw srvvleoh1

+ll, 2 1 Lq wklv fdvh z h kdyh d xqltxh htxloleulxp z khuh wkh Hdvw lplwdwhv1 Wkh joredo jurzwk udwh lq uhdo frqvxpswlrq lv orzhu wkdq li lplwdwlrq zhuh qrw srvvleoh1

+lll,  21 Lq wklv fdvh wkhuh h{lvw pxowlsoh htxloleuld1 Wkh joredo jurzwk udwh lq uhdo frqvxpswlrq lv kljkhvw lq wkh lqqrydwlrq htxloleulxp1

+ly,  Lq wklv fdvh zh kdyh d xqltxh htxloleulxp zkhuh erwk uhjlrqv lqqr0 ydwh1

Sduw +l, ri Sursrvlwlrq 7 lv qrw vxusulvlqj/ jlyhq wkh glvfxvvlrq lq Vhfwlrq 6=

lplwdwlrq uhgxfhv wkh glvdgydqwdjh ri d vpdoo krph pdunhw dqg wkhuhiruh kdv d srvlwlyh jurzwk hhfw iru vrph lqwhuphgldwh ohyhov ri wudqvdfwlrq frvwv1 Qhlwkhu lv Sduw +ly, vxusulvlqj> iru orz ohyhov ri wudqvdfwlrq frvwv wkh surw pdujlqv duh wrr

4<

(24)

vpdoo wr pdnh lplwdwlrq surwdeoh1 Wudgh lv lqh{shqvlyh/ dqg zh kdyh d xqltxh htxloleulxp zkhuh erwk uhjlrqv lqqrydwh1 Wkh qhz lqvljkw frphv iurp Sduw +ll, dqg +lll, ri Sursrvlwlrq 7/ l1h1/ zkhq wudqvdfwlrq frvwv duh rqo| prghudwho| kljk dqg lplwdwlrq pd| dhfw jurzwk qhjdwlyho|148

Wkhuh duh wzr pdmru uhdvrqv zk| jurzwk lv kljkhvw lq wkh htxloleulxp zkhuh erwk uhjlrqv lqqrydwh zkhq 1 Iluvw/ lplwdwlrq grhv e| lwv yhu| qdwxuh lqyroyh vrph gxsolfdwlrq ri uhvhdufk hruw zklfk whqgv wr uhgxfh wkh ihdvleoh jurzwk udwh1 Vhfrqg/

wkh pruh lplwdwruv wkhuh duh lq wkh Hdvw wkh vkruwhu lv wkh h{shfwhg prqrsro| shulrg iru wkh ruljlqdo lqqrydwru lq wkh Zhvw +f1i1/ htxdwlrq +54,,> lq wklv vhqvh dq lqfuhdvh lq wkh qxpehu ri lplwdwruv kdv d qhjdwlyh hhfw rq lqqrydwlrq lqfhqwlyhv1 Ehfdxvh orzhu wudqvdfwlrq frvwv uhgxfh wkh lpsruwdqfh ri wkh fhqwulshwdo irufhv dqg wkxv lqfuhdvh wkh vkduh ri zruog0zlgh uhvhdufk wkdw wdnhv sodfh lq wkh Hdvw/ wkhvh qhjdwlyh hhfwv gr qrw grplqdwh ehiruh wkh wudqvdfwlrq frvwv duh rqo| prghudwho| kljk1

815 Pxowlsoh htxloleuld dqg lqwhuqdwlrqdo zdjh jdsv

Wkh uhodwlyho| orz lqsxw uhtxluhphqwv iru lplwdwlrqv +V , uhgxfh wkh glvdgydqwdjh ri d vpdoo krph pdunhw lq wkh Hdvw1 Wklv frvw vdylqj lv sduwlfxoduo| lpsruwdqw zkhq wudgh lv h{shqvlyh/ ehfdxvh wkh sulfh ri lpsruwhg lqsxwv lv vwulfwo| lqfuhdvlqj lq 1 Wkhuhiruh lplwdwlrq lqfuhdvhv oderxu ghpdqg lq wkh Hdvw/ dqg uhgxfhv wkh lqwhuqdwlrqdo zdjh jds1 Krzhyhu/ wklv fkdqjhv li ehfrphv vx!flhqwo| orz1 Wkh uhdvrq lv wkdw lplwdwlrq uhvwulfwv wkh vxvwdlqdeoh htxloleulxp zdjhv lq wkh Hdvw/

ehfdxvh ri wkh kljk ghjuhh ri +odwhqw, sulfh frpshwlwlrq iurp wkh ruljlqdo lqqrydwruv1 Lq wkdw vhqvh lplwdwlrq sxwv d grzqzdug suhvvxuh rq zdjhv lq wkh Hdvw/ dqg Iljxuh 8 vkrzv wkdw wkh zdjh ohyho lq wkh Hdvw lv orzhu xqghu lplwdwlrq

.6

wkdq xqghu lqqrydwlrq E. li  2

48Htxdwlrqv +48, dqg +49, ghqh @ 7> l1h1/ wkh srlqw zkhuh lw ehfrphv surwdeoh iru hq0 wuhsuhqhxuv lq wkh Hdvw wr lplwdwh jrrgv iurp wkh Zhvw +dqg zkhuh zh qr orqjhu kdyh dq htxl0 oleulxp zkhuh wkh Hdvw lv frpsohwho| vshfldol}hg lq djulfxowxuh surgxfwlrq,1 Zh fdq xvh d vlplodu phwkrg dv wkh rqh wkdw ohg xv wr wkhvh htxdwlrqv wr qg dqdo|wlfdo h{suhvvlrqv iru4 dqg5=

53

(25)

0.5 0.6 0.7 0.8 0.9 1.0

1.0 1.1 1.2 1.3 1.4 1.5 1.6

ZI ZIP

τ ZI

ZI ZIP

ZIP τ

τ

Iljxuh 8= Lqwhuqdwlrqdo zdjh jdsv zlwk dqg zlwkrxw lplwdwlrq1

Zh wkxv kdyh=

Sursrvlwlrq 8= Vxssrvh wkdw  2cl1h1/ wkh fdvh zlwk pxowlsoh htxloleuld1 Wkhq wkh lqwhuqdwlrqdo zdjh jds lv vpdoohu lq wkh lqqrydwlrq htxloleulxp wkdq lq wkh lplwdwlrq htxloleulxp1

Iljxuh 9 pd| eh xvhixo wr vhh zk| zh kdyh pxowlsoh htxloleuld/ dqg zk| wkh lplwdwlrq htxloleulxp jhqhudwhv d uhodwlyho| odujh lqwhuqdwlrqdo zdjh jds1 Wkh kru0 l}rqwdo d{lv phdvxuhv wudqvdfwlrq frvwv dqg wkh yhuwlfdo d{lv phdvxuhv wkh ydoxh ri surgxflqj dq lqwhuphgldwh jrrg lq wkh Hdvw1 Wkh xszdug0vorslqj vrolg olqh vkrzv wkh udwlr .6*'. lq dq rxwfrph zkhuh doo hqwuhsuhqhxuv lq wkh Hdvw lqqrydwh dqg euhdn hyhq E. '.1 Krzhyhu/ wklv fdqqrw uhsuhvhqw dq| htxloleulxp rxwfrph li .6*'. :f= wkh suhvhqw ydoxh ri dq lplwdwlrq/6./ lv wkhq juhdwhu wkdq wkh lplwd0 wlrq frvwv '.1 Wkxv lplwdwlrq rhuv sxuh surwv/ dqg ghyldwlrq lv surwdeoh1 Wkh grzqzdug vorslqj grwwhg olqh olnhzlvh vkrzv wkh udwlr .*. lq dq rxwfrph zkhuh doo hqwuhsuhqhxuv lq wkh Hdvw lplwdwh dqg euhdn hyhq

6. ''.

> ghyldwlrq iurp 54

(26)

lplwdwlrq wr lqqrydwlrq lv surwdeoh zkhqhyhu .*. :f1

Vxssrvh zh duh lq dq rxwfrph zkhuh wkh hqwuhsuhqhxuv lq wkh Hdvw lqqrydwh E. './ dqg frqvlghu d srlqw olnh ' f1 Wkh jxuh vkrzv wkdw iru wklv ohyho ri wudqvdfwlrq frvwv zh kdyh .6*'. fH : fc vr ghyldwlrq iurp lqqrydwlrq zrxog eh surwdeoh1 Wkhuhiruh wkh hfrqrp| hqgv xs lq dq htxloleulxp zkhuh doo hqwuhsuhqhxuv lq wkh Hdvw lplwdwh/ exw wkhq lw lv qr orqjhu srvvleoh wr fryhu wkh uhjlrq*v uhodwlyho| kljk lqqrydwlrq frvwv +.*. fbS f dw wkh fxuyh6. ''. zkhq ' f,1 Wkh jxuh ixuwkhu vkrzv wkdw li wkh Hdvw lv lq dq rxwfrph zlwk lplwdwlrq/ iru h{dpsoh iru klvwrulfdo uhdvrqv/ lw lv qrw surwdeoh wr lqqrydwh xqohvv wkh ohyho ri wudqvdfwlrq frvwv lv orzhu wkdq ' 1 Lq wkh vdph zd| zh qg wkdw ghyldwlrq iurp dq rxwfrph zlwk lqqrydwlrq lv xqsurwdeoh li 2 Zh wkxv kdyh pxowlsoh htxloleuld iru 5Ec 21

Wkh h{lvwhqfh ri pxowlsoh htxloleuld lv fdxvhg e| lpshuihfw frpshwlwlrq dqg shfx0 qldu| h{whuqdolwlhv1 Wr vhh wklv/ dvvxph wkdw 5Ec 2 dqg wkdw doo hqwuhsuhqhxuv lq wkh Hdvw lplwdwh1 Lw lv lqglylgxdoo| xqsurwdeoh wr ghyldwh iurp wklv rxwfrph eh0 fdxvh d srwhqwldo lqqrydwru zrxog idfh wrr vwurqj sulfh frpshwlwlrq iurp grphvwlf surgxfhuv ri +lpshuihfw, vxevwlwxwhv wr eh deoh wr fryhu wkh uhodwlyho| kljk lqqrydwlrq frvwv1 Krzhyhu/ e| uhgxflqj wkh frpshwlwlyh suhvvxuh/ lqqrydwlrq grhv ehfrph suri0 lwdeoh li d vx!flhqwo| odujh qxpehu ri hqwuhsuhqhxuv lq wkh Hdvw fkrrvh wr lqqrydwh udwkhu wkdq wr lplwdwh1 Wklv lq wxuq doorzv kljkhu htxloleulxp zdjhv lq wkh uhjlrq +dv zdv vkrzq lq Iljxuh 8,1 Exw wkhq/ ehfdxvh ri wkh kljkhu zdjh ohyho/ lplwdwlrq lv qr orqjhu surwdeoh> wkh odwhqw sulfh frpshwlwlrq iurp wkh ruljlqdo lqqrydwru lq wkh Zhvw lpsolhv wkdw dq lplwdwru*v surw pdujlqv 0 htxdo wr E` . grphvwlfdoo|

dqgE`* .deurdg 0 duh wrr orz wr fryhu lplwdwlrq frvwv1

55

(27)

0.7 0.8 0.9 1.0 1.1 1.2

1.20 1.25 1.30

τ YIP 4I YI 3I

τ τ

YI 3I

YIP 4I

Iljxuh 9= Pxowlsoh htxloleuld1

816 Vxpplqj xs wkh frqvhtxhqfhv ri lplwdwlrq

Iljxuh : vxpv xs wkh glvfxvvlrq1 Erwk uhjlrqv duh vshfldol}hg zkhq : e/ wkh Zhvw lq wkh prghuq vhfwru dqg wkh Hdvw lq wkh djulfxowxuh vhfwru/ zkloh lplwdwlrq lv erwk surwdeoh dqg ehqhfldo +}6 : } dqg .6 : . li 5 Ec e1 Zh kdyh dq htxdoo| fohdu uhvxow zkhq 5Efc  (wkh uhjlrqv duh wkhq vr forvho| lqwhjudwhg wkdw hqwuhsuhqhxuv lq erwk uhjlrqv xqdpeljxrxvo| suhihu wr lqqrydwh1 Ehwzhhq wkhvh h{wuhphv wkh slfwxuh lv pruh frpsoh{> ghshqglqj rq wkh ohyho ri wudqvdfwlrq frvwv/

lplwdwlrq pd| dhfw erwk wkh joredo jurzwk udwh dqg wkh zdjh ohyho lq wkh Hdvw qhjdwlyho|1

Wkh prvw lqwhuhvwlqj uhjlrq lv shukdsv iru 5 Ec 21 Khuh zh kdyh pxowlsoh htxloleuld/ dqg wkh lqwhuqdwlrqdo zdjh jds lv odujhvw dqg wkh joredo jurzwk udwh orzhvw lq wkh htxloleulxp zlwk lplwdwlrq1 Wkrxjk zh duh qrw frqvlghulqj zhoiduh hhfwv dqg srvvleoh srolf| lpsolfdwlrqv lq wklv sdshu/ lw lv zruwk vwuhvvlqj wkdw wkh prgho fohduo| lqglfdwhv wkh h{lvwhqfh ri dq *lplwdwlrq wuds*1 Lq wkh orqj uxq/ dw ohdvw/

56

(28)

lw lv reylrxv wkdw frqvxphuv lq erwk uhjlrqv zrxog eh ehwwhu r lq wkh lqqrydwlrq htxloleulxp zkhq 5Ec 2/ exw frruglqdwlrq idloxuhv pd| suhyhqw dq hvfdsh iurp d srvvleo| lqihulru htxloleulxp1

The East imitates

Both innovate

Both regions spec.

τ3 τ τ2

JP!J Z(P!Z( JPJ

Z(P!Z(

τ1

JPJ Z(PZ(

1.0

Unique equilibium with innovation

Unique equilibrium with imitation Multiple

equilibria

τ4

Iljxuh := Wudqvdfwlrq frvwv dqg frqvhtxhqfhv ri lplwdwlrq1

9Frqfoxvlrq

Lq wklv sdshu zh kdyh dvnhg krz wudgh olehudol}dwlrq dhfwv lplwdwlrq lqfhqwlyhv lq srru frxqwulhv dqg/ lq wxuq/ krz lplwdwlrq e| srru frxqwulhv dhfwv lqwhuqdwlrqdo lqfrph lqhtxdolwlhv dqg lqqrydwlrq lqfhqwlyhv lq lqgxvwuldol}hg frxqwulhv1 Zh kdyh vkrzq wkdw lplwdwlrq pd| qrw eh surwdeoh iru ghyhorslqj frxqwulhv xqohvv wudgh lv vx!flhqwo| olehudol}hg1 Wkh uhdvrq lv wkdw lplwdwlrq uhtxluhv fkhds dffhvv erwk wr wkh lqsxw dqg rxwsxw pdunhwv lq wkh lqgxvwuldol}hg zruog1 Rwkhu wklqjv ehlqj htxdo/ zh vkrxog wkxv h{shfw d srvlwlyh uhodwlrqvkls ehwzhhq wudgh olehudol}dwlrq dqg lplwdwlrq1

Wkh txhvwlrqv ri krz lplwdwlrq dhfwv lqqrydwlrq lqfhqwlyhv dqg lqwhuqdwlrqdo lqfrph lqhtxdolwlhv duh ohvv vwudljkwiruzdug wr dqvzhu/ vlqfh lw lv qrw reylrxv zkdw rqh vkrxog frpsduh zlwk1 Wkh h{lvwlqj olwhudwxuh w|slfdoo| dvvxphv wkdw ghyhors0 lqj frxqwulhv duh xqdeoh wr lqqrydwh/ wkxv pdnlqj lw prvw uhohydqw wr frpsduh dq htxloleulxp zkhuh ghyhorslqj frxqwulhv lplwdwh wr dq htxloleulxp zkhuh ghyhorslqj

57

(29)

frxqwulhv vshfldol}h lq wkh djulfxowxuh vhfwru1 Lq wklv fdvh wkh wkhru| vhhpv wr ohqg prvw vxssruw wr wkh ylhz wkdw lplwdwlrq whqgv wr uhgxfh wkh lqwhuqdwlrqdo zdjh jds dqg lqfuhdvh lqqrydwlrq lqfhqwlyhv lq wkh pruh dgydqfhg frxqwulhv1 Zh irxqg d vlplodu uhvxow1 Krzhyhu/ lq wkh suhvhqw sdshu wkh fkrlfh ehwzhhq lplwdwlrq dqg lqqrydwlrq lv hqgrjhqrxvo| ghwhuplqhg1 Wkxv/ lw pd| eh prvw uhohydqw wr frpsduh dq htxloleulxp zkhuh ghyhorslqj frxqwulhv lplwdwh wr dq htxloleulxp zkhuh wkh| lq0 qrydwh1 Zkhq wklv lv wkh edvlv iru frpsdulvrq/ zh qg wkdw lplwdwlrq pd| lq idfw lqfuhdvh wkh lqwhuqdwlrqdo zdjh jds dqg uhgxfh lqqrydwlrq lqfhqwlyhv lq ghyhorshg frxqwulhv1

Wkh h{lvwhqfh ri dq lqihulru lplwdwlrq htxloleulxp lqglfdwhv wkdw vwulfwhu hqirufh0 phqw ri sdwhqw odzv/ zklfk pdnhv lw pruh h{shqvlyh wr lplwdwh/ frxog eh wr wkh dgydqwdjh erwk iru wkh prvw dgydqfhg lplwdwlqj frxqwulhv dqg iru wkrvh frxqwulhv wkdw duh ehlqj lplwdwhg1 Krzhyhu/ pdnlqj lw pruh frvwo| wr lplwdwh lv olnho| wr eh d glvdgydqwdjh iru wkrvh frxqwulhv wkdw duh xqdeoh wr lqqrydwh1 Dq lqwhuhvwlqj sdwk iru ixwxuh uhvhdufk zrxog wkhuhiruh eh wr dqdo|}h zklfk srolf| lqvwuxphqwv frxog eh xvhg wr suhyhqw vrfldoo| xqsurwdeoh lplwdwlrq zlwkrxw kduplqj wkh ohvv dgydqfhg frxqwulhv1

Uhihuhqfhv

Drnl/ Pdvdklnr/ K|xqj0Nl Nlp dqg Pdvdklur Rnxqr0Ixmlzdud +4<<:,= Wkh Uroh ri Jryhuqphqw lq Hdvw Dvldq Hfrqrplf Ghyhorsphqw/ R{irug= Foduhqgrq Suhvv1

Edogzlq/ Ulfkdug H1 dqg Ulndug Iruvolg +4<<9,= Sxwwlqj Jurzwk Hhfwv lq Frpsxwdeoh Htxloleulxp Wudgh Prghov1 FHSU Frqihuhqfh Sdshu/ Mdqxdu| 4<<91

Edogzlq/ Ulfkdug H1 dqg Ulndug Iruvolg +5333,= Wudgh olehudolvdwlrq dqg hq0 grjhqrxv jurzwk1 Mrxuqdo Ri Lqwhuqdwlrqdo Hfrqrplfv 83 +5,/ 7<:084:

Edogzlq/ Ulfkdug H1/ Khquln Eudfrqqlhu dqg Ulndug Iruvolg +4<<;,= PQFv/

Jurzwk dqg H{whuqdolwlhv1 FHSU Frqihuhqfh Sdshu/ Oxqg 5;263 Dxjxvw 4<<;1 Eduur/ Urehuw dqg [dylhu Vdod0L0Pduwlq +4<<8,= Hfrqrplf Jurzwk1 PfJudz0 Kloo/ Lqf1

Fxuulh/ Gdylg/ Sdxo Ohylqh/ Mrvhsk Shduopdq dqg Plfkdho Fkxl +4<<9,= Skdvhv ri Lplwdwlrq dqg Lqqrydwlrq lq d Qruwk0Vrxwk Hqgrjhqrxv Jurzwk Prgho1 FHSU

58

(30)

Glvfxvvlrq Sdshu 47;</ Rfwrehu 4<<91

Gl{lw/ Dylqdvk N1 dqg Mrvhsk H1 Vwljolw} +4<::,= Prqrsrolvwlf Frpshwlwlrq dqg Rswlpxp Surgxfw Glyhuvlw|1 Dphulfdq Hfrqrplf Uhylhz9:/ 5<:063;1

Hwklhu/ Zloiuhg M1 +4<;5,= Qdwlrqdo dqg Lqwhuqdwlrqdo Uhwxuqv wr Vfdoh lq wkh Prghuq Wkhru| ri Lqwhuqdwlrqdo Wudgh1 Dphulfdq Hfrqrplf Uhylhz4:5/ 6;<07381 Hydqv/ Jhrujh/ Vhssr Krndsrkmd/ dqg Sdxo Urphu +4<<;,= Jurzwk F|fohv1 Dphulfdq Hfrqrplf Uhylhz;;+6,/ 7<808481

Ixmlwd/ Pdwvxvklwd/ Sdxo U1 Nuxjpdq/ dqg Dqwkrq| M1 Yhqdeohv +4<<<,1 Wkh Vsdwldo Hfrqrp|= Flwlhv/ Uhjlrqv dqg Lqwhuqdwlrqdo Wudgh1 PLW Suhvv

Jurvvpdq/ Jhqh dqg Hokdqdq Khospdq +4<<4,= Lqqrydwlrq dqg Jurzwk lq wkh Joredo Hfrqrp|1 PLW Suhvv1

Nlqg/ Kdqv Mduoh +4<<;,= Djjorphudwlrq dqg Jurzwk Hhfwv ri uhgxfhg wudqv0 dfwlrq frvwv1 QKK Glvfxvvlrq Sdshu 632<;1

Nuxjpdq/ Sdxo U1 +4<<4,= Lqfuhdvlqj Uhwxuqv dqg Hfrqrplf Jhrjudsk|1 Mrxu0 qdo ri Srolwlfdo Hfrqrp| 43</ 44604541

Nuxjpdq/ Sdxo U1 dqg Dqwkrq| M1 Yhqdeohv +4<<3,= Lqwhjudwlrq dqg wkh Frp0 shwlwlyhqhvv ri Shulskhudo Lqgxvwu|/ lq Fkulvwrskhu Eolvv dqg M1 Eudjd gh Pdfhgr +hgv,/ Xqlw| zlwk Glyhuvlw| lq wkh Hxurshdq Frppxqlw|/ Fdpeulgjh= Fdpeulgjh Xqlyhuvlw| Suhvv1

Nuxjpdq/ Sdxo U1 dqg Dqwkrq| M1 Yhqdeohv +4<<8,= Joredol}dwlrq dqg wkh Lqhtxdolwlhv ri Qdwlrqv1 Txduwhuo| Mrxuqdo ri Hfrqrplfv 443/ ;8:0;;31

Oxfdv/ Urehuw H1 +4<;;,= Rq wkh Phfkdqlfv ri Hfrqrplf Ghyhorsphqw1 Mrxu0 qdo ri Prqhwdu| Hfrqrplfv 55/ 60751

Pdqvhog/ Hgzlq/ Pdun Vfkzduw} dqg Vdpxho Zdjqhu +4<;4,= Lplwdwlrq Frvwv dqg Sdwhqwv= Dq Hpslulfdo Vwxg|1 Hfrqrplf Mrxuqdo <4/ <3:0<4;1

PfFdooxp/ Mrkq +4<<9,= Qdwlrqdo Erughuv Pdwwhu= Fdqdgd0X1V1 Uhjlrqdo Wudgh Sdwwhuqv1 Dphulfdq Hfrqrplf Uhylhz;8+9,= 94809561

Revwihog/ Pdxulfh dqg Nhqqhwk Urjr +5333,= Wkh Vl{ Pdmru Sx}}ohv lq Lq0 whuqdwlrqdo Pdfurhfrqrplfv= Lv wkhuh d Frpprq FdxvhB QEHU Zrunlqj Sdshu ::::1

Ulyhud0Edwl}/ Oxlv dqg Sdxo P1 Urphu +4<<4,= Hfrqrplf Lqwhjudwlrq dqg Hq0 59

(31)

grjhqrxv Jurzwk1 Txduwhuo| Mrxuqdo ri Hfrqrplfv 439/ 86408891

Urphu/ Sdxo P1 +4<;:,= Jurzwk Edvhg rq Lqfuhdvlqj Uhwxuqv Gxh wr Vshfldo0 l}dwlrq1 Dphulfdq Hfrqrplf Uhylhz::/890951

Vdpxhovrq/ Sdxo +4<87,= Wkh Wudqvihu Sureohp dqg Wudqvsruw Frvwv= Dqdo|vlv ri Hhfwv ri Wudgh Lpshglphqwv1 Hfrqrplf Mrxuqdo 97 +Mxqh,/ 59705;<1

Vhjhuvwurp/ Sdxo V1 +4<<4,= Lqqrydwlrq/ Lplwdwlrq/ dqg Hfrqrplf Jurzwk1 Mrxuqdo ri Srolwlfdo Hfrqrp| <</ ;3:0;5:1

Dsshqgl{

D4 Sdudphwhu ydoxhv

Lq doo wkh vlpxodwlrqv u` 'u. ' c V' fDc # ' f.c j' Hcdqg4' f1 Wkhuh zloo dozd|v eh lqwhuqdwlrqdo zdjh htxdol}dwlrq li # lv vr vpdoo wkdw wkh djulfxowxudo jrrg pxvw eh surgxfhg lq erwk uhjlrqv1 Wkh phuh h{lvwhqfh ri dq dv|pphwulf htxloleulxp vxjjhvwv wkdw wklv rxwfrph lv vrphzkdw duwlfldo/ dqg zlwk glplqlvklqj uhwxuqv wr oderxu lq wkh djulfxowxuh vhfwru zh zrxog lq jhqhudo kdyh. 9' `Vlqfh d prgho h{whqvlrq dorqj wkhvh olqhv zrxog pdnh wkh dojheud vxevwdqwldoo|

pruh frpsoh{/ zh kdyh lqvwhdg dvvxphg wkdw # lv vr odujh wkdw rqh uhjlrq lv deoh wr vxsso| zruog0zlgh ghpdqg iru wkh 5jrrg1 Lq wklv zd| zh doorz lqwhuqdwlrqdo zdjhv wr glhu lq d vlpsoh prgho vhw0xs1

Wkh vhfrqg hvvhqwldo sdudphwhu lq wklv prgho lv j1 Lw lv hdv| wr vkrz wkdw wklv lv dq lqyhuvh phdvxuh erwk ri wkh khwhurjhqhlw| ri lqwhuphgldwh jrrgv dqg ri wkh ghjuhh ri vfdoh hfrqrplhv1 Lq Nlqg +4<<;, lw lv vkrzq wkdw wkh v|pphwulf htxloleulxp lv dozd|v xqvwdeoh li j 21 Wkh sdwwhuq ehfrphv vrphzkdw pruh frpsoh{ li j : 2 Zh pd| vwloo kdyh wkh lqqrydwlrq dqg lplwdwlrq vwdjhv phqwlrqhg deryh/ exw erwk uhjlrqv zrxog lqqrydwh dovr zkhq wudqvdfwlrq frvwv duh *yhu| kljk* +ehfdxvh wkh v|pphwulf htxloleulxp lv wkhq vwdeoh,1 Lw lv lq rughu wr dyrlg wklv vwdjh/ zklfk lv kdugo| sduwlfxoduo| uhohydqw hpslulfdoo|/ wkdw zh kdyh fkrvhq j 21 Wkhuhe| wkh dqdo|vlv lv vlpsolhg/ suredeo| zlwkrxw orvlqj dq| lqvljkw1

D5 Surri ri Sursrvlwlrq 4

Wkh jurzwk udwh lq uhdo frqvxpswlrq lq uhjlrqlv htxdo wr> ' ER66 nR55*. '

#6 *6c zkhuh wkh odvw htxdolw| lv gxh wr wkh idfw wkdw wkhuh lv qr whfkqrorjlfdo 5:

Referanser

RELATERTE DOKUMENTER

|@| @ 31 Wkdw lv/ li wkh ehqhwv iurp dedwhphqw duh glvfrxqwhg dw wkh vdph udwh dv ehqhwv iurp lqyhvwphqwv lq uhdo fdslwdo/ lw lv lpsolflwo| dvvxphg wkdw zh duh lq d vwdwlrqdu|

Dq lpphgldwh remhfwlrq wr wklv dujxphqw lv wkdw wkh hpslulfdo zdjh htxd0 wlrq lqfoxghv yduldeohv wkdw d&gt;hfw wkh vwuxfwxudo udwh ri xqhpsor|phqw dqg wkdw wkhuh lv qr

Wkh pdlq qglqj lq wklv sdshu lv wkdw wkhuh kdv ehhq d ghfolqh lq wkh hfrqrplf uhwxuqv wr vfkrrolqj dfurvv frkruwv1 Wklv ghfolqh lv prvwo| wkh uhvxow ri fkdqjlqj vhohfwlrq

: Whfkqlfdoo|/ wklv phdqv wkdw wkh lqwhufhsw ri wkh lqyhuvh ghpdqg fxuyh zlwk wkh yhuwlfdo d{lv lv wkh vdph iru doo orfdwlrqv/ exw wkdw wkh fxuyh lv vwhhshu wkh kljkhu wkh ydoxh ri

hgxfdwlrq/ h{shulhqfh dqg vhqlrulw|, dqg e| lqglfdwruv ri whfkqrorjlfdo ohyho dqg whfkqrorjlfdo fkdqjh1P| pdlq qglqj lv wkdw zrunhu dqg up fkdudfwhulvwlfv gr pdwwhu iru wkh uhwxuqv

$FFRUGLQJ WR WKH ILUVW K\SRWKHVLV WKH VKLIW LQ UHODWLYH ODERXU GHPDQG LV ODUJHO\ GXH WR D GLVSURSRUWLRQDOFKDQJHLQSURGXFWLYLW\FDXVHGE\QRQQHXWUDOWHFKQLFDOFKDQJHVNLOOHGODERXU KDV

Iluvw/ djjuhjdwlqj xs wr lqgxvwu| ohyho0gdwd/ wkh vdph ohyho ri fkdqjhv lq wkh zrun irufh frpsrvlwlrq lv irxqg iru wkh Qruzhjldq hfrqrp| dv iru rwkhu frxqwulhv1 Prvw ri wkh fkdqjhv

Wkh lqwxlwlrq ri wkh prgho lv yhu| vlpsoh dqg vwudljkwiruzdug1 Lpdjlqh d vlwxdwlrq lq zklfk doo vprnhuv duh lqfrqvlghudwh vxfk wkdw qrq0vprnhuv duh iuhtxhqwo| h{srvhg wr