• No results found

Learned helplessness, discouraged workers, and multiple unemployment equilibria in a search model

N/A
N/A
Protected

Academic year: 2022

Share "Learned helplessness, discouraged workers, and multiple unemployment equilibria in a search model"

Copied!
22
0
0

Laster.... (Se fulltekst nå)

Fulltekst

(1)

1

Discussion Papers No. 303, August 2001 Statistics Norway, Research Department

Roger Bjørnstad

Learned Helplessness, Discouraged Workers, and Multiple Unemployment Equilibria in a Search Model

Abstract:

Unemployment varies strongly between countries with comparable economic structure.

Some economists have tried to explain these differences with institutional differences in the labour market. Instead, this paper focuses on a model with multiple equilibria so that the same socioeconomic structure can give rise to different levels of unemployment.

Unemployed workers' search efficiency are modelled within an equilibrium search model and lay behind these results. In the model learned helplessness causes a pro-cyclical behavior of the aggregate search efficiency, also known as the discouraged worker effect. The model can distinguish between locally stable and unstable labour market equilibria. The analysis shows that if a shock in an antecedent variable brings unemployment above the unstable equilibrium, the economy will eventually stabilize in a state with an even higher level of unemployment. However, a shock that brings the variable back at its initial level will not be enough to bring unemployment back at the lower equilibrium. Hence, the model also offers an explanation of why unemployment seems to move more easily up than down.

Keywords: Learned helplessness, discouraged workers, multiple unemployment equilibria, search effectiveness, long term unemployment

JEL classification: J64, E24

Address: Roger Bjørnstad, Statistics Norway, Research Department, P.O.B. 8131 Dep, N- 0033 Oslo, Norway. E-mail: roger.bjornstad @ssb.no

(2)

2

Discussion Papers comprise research papers intended for international journals or books. As a pre- print a Discussion Paper can be longer and more elaborate than a standard jour- nal article by including intermediate calculation and background material etc.

Abstracts with downloadable PDF files of

Discussion Papers are available on the Internet: http://www.ssb.no

For printed Discussion Papers contact:

Statistics Norway

Sales- and subscription service N-2225 Kongsvinger

Telephone: +47 62 88 55 00 Telefax: +47 62 88 55 95

E-mail: Salg-abonnement@ssb.no

(3)

4 Lqwurgxfwlrq

4

Wklv sdshu lqwurgxfhv dq htxloleulxp vhdufk prgho5 zkhuh xqhpsor|hg zrunhuv duh idfhg zlwk lqglylgxdoprwlydwlrq frvwv1 Nqrzohgjh iurp wkh vrfldo sv|fkrorj| olwhud0 wxuh ri krz xqhpsor|hg zrunhuv hvfdsh wkh wudxpd ri xqhpsor|phqw prwlydwhv wkh prgho vshflfdwlrq1 Frqvlvwhqw zlwk wkh wkhru| ri ohduqhg khosohvvqhvv6 prwlydwlrq frvwv duh dvvxphg wr lqfuhdvh dv wkh survshfwv ri uhhpsor|phqw glplqlvkhv1 Vlqfh lqglylgxdo prwlydwlrq frvwv ghfuhdvh zlwk djjuhjdwh vhdufk hhfwlyhqhvv wkhuh duh srvlwlyh h{whuqdolwlhv dwwdfkhg wr lqglylgxdo vhdufk lqwhqvlw|71 Wklv rshqv irupxowl0 soh xqhpsor|phqw htxloleuld81 Dw orz ohyhov ri htxloleulxp xqhpsor|phqw djjuhjdwh vhdufk hhfwlyhqhvv lv kljk1 Dw kljk ohyhov ri xqhpsor|phqw pdq| xqhpsor|hg zrunhuv duh glvfrxudjhg dqg zlwkgudzq iurp wkh vhdufk surfhvv1 Wkh sur0f|folfdo ehkdylru ri wkh dyhudjh vhdufk hhfwlyhqhvv lpsolhg e| wkh prgho lv frqvlvwhqw zlwk dq hpslulfdo uhjxodulw| nqrzq dv wkh glvfrxudjhg zrunhu hhfw91 Dqrwkhu ihdwxuh ri wkh prgho lv wkdw wkhuh pd| h{lvw orfdoo| xqvwdeoh htxloleuld1 Wklv lpsolhv wkdw li d qhjdwlyh vkrfn lq dq dqwhfhghqw yduldeoh lqfuhdvhv xqhpsor|phqw deryh wklv ohyho/

xqhpsor|phqw zloo lqfuhdvh ixuwkhu xqwlo dq hyhq kljkhu htxloleulxp lv uhdfkhg1 Krzhyhu/ d vkrfn wkdw eulqjv wkh yduldeoh edfn dw lwv lqlwldo ohyho zloo qrw eh hqrxjk wr eulqj xqhpsor|phqw edfn dw wkh orzhu htxloleulxp1 Khqfh/ wkh prgho pd| h{sodlq zk| xqhpsor|phqw vhhpv wr pryh pruh hdvlo| xs wkdq grzq1

Lq 4<69/ wkh XV Vxsuhph Frxuw dvvhuwhg wkdw xqhpsor|phqw vdsshg prudoh/

eurnh xs h{lvwlqj idplolhv dqg ghod|hg wkh irupdwlrq ri qhz rqhv/ uhgxfhg sk|vl0 fdo zhoo0ehlqj/ ghsuhvvhg wkh eluwk udwh/ dqg ohg wr fulph/ vxlflgh dqg ydjudqf|:1 Wkdw mreohvvqhvv pd| dhfw sk|vlfdo dqg sv|fkrorjlfdo khdowk lv zhoo nqrzq iurp wkh vrfldo sv|fkrorj| olwhudwxuh/ dqg kdv ehhq lq sv|fkrorjlvwv* dwwhqwlrq dw ohdvw vlqfh wkh juhdw ghsuhvvlrq lq wkh 4<63*v/ vhh Mdkrgd hw do1 +4<66,/ Hlvhqehuj dqg Od}duvihog +4<6;, dqg Jlq}ehuj +4<75,;1 Krzhyhu/ hfrqrplvwv kdyh lq jhqhudo ehhq

4Wklv sdshu zloo eh suhvhqwhg dw wkh 89wk Hxurshdq Phhwlqj ri wkh Hfrqrphwulf Vrflhw| lq Dxjxvw/ 5334/ lq Odxvdqqh/ Vzlw}huodqg/ dqg dw wkh Hxurshdq Dvvrfldwlrq ri Oderxu Hfrqrplvwv Dqqxdo frqihuhqfh/ lq Vhswhpehu/ 5334/ lq M|yçvn|oç/ Ilqodqg1 Glvfxvvlrqv zlwk dqg frpphqwv iurp Ègqh Fdsshohq/ Udjqdu Q|prhq/ Mrkq Gdjvyln dqg rwkhuv kdyh ehhq yhu| khosixo1

5Vhh Slvvdulghv +4<:</ 4<<3, / Ehdq dqg Od|dug +4<;<, dqg Pruwhqvhq dqg Slvvdulghv +4<<<,1

6Vhh Vholjpdq +4<:8,1

7Wkh lvvxh ri h{whuqdolwlhv lv iuhtxhqwo| dgguhvvhg lq wkhvh fodvv ri prghov/ vhh h1j1 Gldprqg +4<;5,/ Pruwhqvhq +4<;5/ 4<;<, / Slvvdulghv +4<<3, dqg Frohv dqg Pdvwhuv +5333,1

8Wkh lghd wkdw wkhuh pd| h{lvw pxowlsoh xqhpsor|phqw htxloleuld kdv rffxslhg vhyhudo hfrqrplvwv wkh odvw ghfdghv1 Vhh iru h{dpsoh wkh idprxv zrun ri Zhlw}pdq +4<;5,/ vhh dovr Gldprqg +4<;5,/ Gud}hq +4<;:,/ Pdqqlqj +4<<3/ 4<<5, dqg Vdlqw0Sdxo +4<<8,1

9Vrorz +4<<8, jlyhv wklv lvvxh pxfk dwwhqwlrq1 Kh eholhyhv wkdw surorqjhg xqhpsor|phqw ohdgv wr uhvljqdwlrq dqg dlpohvvqhvv dqg wkdw wklv lv dq lpsruwdqw h{sodqdwlrq iru krz d oderxu pdunhw fdq eh dw uhvw hyhq lq wkh suhvhqfh ri xqhpsor|phqw1 Vhh dovr Gdulw| dqg Jrogvplwk +4<<6, iru d glvfxvvlrq rq wkh uhodwlrqvkls ehwzhhq xqhpsor|phqw/ vrfldo sv|fkrorj| dqg wkh glvfrxudjhg zrunhu hhfw1 Iru hpslulfdo grfxphqwdwlrq vhh Fodun dqg Vxpphuv +4<:<, dqg Ehqdwl +5334, iru h{dpsoh1

:Ehoohpduh dqg Srxolq0Vlprq +4<;6,

;Wkh pxfk flwhg zrun e| Mdkrgd hw do1 +4<66, zdv slrqhhulqj lq vrfldo hog lqyhvwljdwlrq dqg zdv dq hduo| grfxphqwdwlrq ri wkh vrfldo dqg sv|fkrorjlfdo hhfwv ri xqhpsor|phqw1 Iru pruh

6

(4)

uhoxfwdqw wr lqfrusrudwh vrfldo dqg sv|fkrorjlfdo frvwv ri xqhpsor|phqw/ exw wkhuh duh h{fhswlrqv1 Wkh glvfrxudjhg zrunhu hhfw lv iru h{dpsoh zhoo nqrzq dprqj hfrqrplvwv1 Hfrqrplvwv kdyh dovr vkrzq vrph lqwhuhvw lq xqhpsor|hg zrunhuv* sv|0 fkrorjlfdo zhoo0ehlqj ehfdxvh ri lwv lpsruwdqfh iru surgxfwlylw|/ ru dv Vhq +4<<:, irupxodwhv lw/ cmxvw dv shrsoh ohduq e| grlqj/ wkh| dovr xqohduq e| qrw grlqj*1 Kh glvfxvvhv wkh eurdghu ylhz ri wkh frvwv ri xqhpsor|phqw zlwk vshfldo dwwhqwlrq wr wkh kljk xqhpsor|phqw udwhv lq Hxursh wkh odvw ghfdghv1 Ixuwkhupruh/ Gdulw| dqg Jrogvplwk +4<<9, phujh wkh hhfwv ri xqhpsor|phqw rq sv|fkrorjlfdo zhoo0ehlqj lqwr d prgho ri wkh pdfurhfrqrp|1 Wkh| irfxv rq pdfur hhfwv ri wkh frqvhtxhqfhv ri xqhpsor|hg zrunhuv* ihholqj ri khosohvvqhvv/ dv glvfxvvhg lq Gdulw| dqg Jrogvplwk +4<<6,1 Wkh| dujxh wkdw lqfuhdvhg xqhpsor|phqw gdpdjhv wkh frjqlwlyh/ prwlyd0 wlrqdo dqg hprwlrqdo vwdwxv ri wkrvh odlg r/ xowlpdwho| ohdglqj wr d ghwhulrudwlrq lq wkh sv|fkrorjlfdo vwdwh ri wkh oderu irufh1 Wklv ohdgv wr d frqwudfwlrq ri zrunirufh surgxfwlylw| dv shuvrqdo surgxfwlylw| ri erwk wkrvh odlg r dqg wkh vxuylyruv/ zkr zlwqhvv wkh wudxpd ri wkhlu frzrunhuv/ lv h{shfwhg wr ghfolqh1

Wkhuh duh hvshfldoo| wzr uhdvrqv iru zk| hfrqrplvwv whqg wr ljqruh vrfldo dqg sv|fkrorjlfdo frvwv ri mreohvvqhvv1 Iluvw/ wkhuh kdyh ehhq phwkrglfdo gl!fxo0 wlhv lq grfxphqwlqj fdxvdolw| ehwzhhq xqhpsor|phqw dqg vrfldo dqg sv|fkrorjlfdo sdwkrorjlhv1 Prvw ri wkh hduo| vwxglhv phuho| srlqwhg dw d fruuhodwlrq ehwzhhq xqhp0 sor|phqw dqg vrph phdvxudeoh lqglfdwruv ri vrfldo dqg sv|fkrorjlfdo sdwkrorjlhv1 Vhfrqg/ sduwlfxoduo| sv|fkrorjlfdo frvwv/ exw dovr vrfldo frvwv/ kdyh ehhq kdug wr txdqwli|1 Krzhyhu/ wkhvh sureohpv kdyh ehhq ydqtxlvkhg lq vhyhudo vwxglhv1 Euhqqhu +4<:9/ 4<;7, / iru h{dpsoh/ duh deoh wr grfxphqw d v|vwhpdwlf fdxvdo uhodwlrqvkls ehwzhhq xqhpsor|phqw dqg vrfldo sdwkrorj|<1 Kh dovr wudqvodwhv wkh fxpxodwlyh yh0|hdu hhfw rq vxlflgh/ krvslwdo dgplvvlrqv/ lpsulvrqphqw/ ghdwk gxh wr fluukrvlv dqg fduglrydvfxodu glvhdvhv ri d 417 shufhqwdjh srlqw lqfuhdvh lq xqhpsor|phqw ryhu wkh 4<:3 udwh lqwr d orvv ri qhduo| ': eloolrq wr wkh Dphulfdq hfrqrp|1 Ixuwkhupruh/

kh hvwlpdwhv wkdw wkuhh hyhqwv lq 4<:60:7 wkh 31: shufhqwdjh srlqw lqfuhdvh lq wkh XV xqhpsor|phqw udwh/ wkh 6 shufhqw gurs lq shu fdslwd lqfrph dqg wkh 533 shu fhqw ulvh lq wkh dqqxdo Dphulfdq exvlqhvv edqnuxswf| udwh kdg lqfuhdvhg ryhudoo frvw wr XV khdowk dqg mxvwlfh v|vwhpv e| d fxpxodwlyh wrwdo ri ryhu '57 eloolrq e|

4<;31

Lq wkh qh{w vhfwlrq L vhw xs wkh prgho wr ghwhuplqh wudqvlwlrq lq dqg rxw ri xqhpsor|phqw lq htxloleulxp1 Wkhq/ lq vhfwlrq 6 L frpphqw rq zkdw wkh prgho fdq whoo xv derxw xqhpsor|phqw g|qdplfv rxwvlgh htxloleulxp1 Vhfwlrq 7 jlyhv vrph frqfoxglqj frpphqwv1

uhfhqw grfxphqwdwlrq vhh iru h{dpsoh Euhqqhu +4<:6,/ Olhp dqg Olhp +4<;;,/ Nhvvohu hw do1 +4<;;,/

Sodww +4<;7,/ Fodun dqg Rvzdog +4<<7, dqg Eodqfk rzhu hw do1 +4<<6,1 Vhh dovr Ihdwkhu +4<<3, dqg Mlq hw do1 +4<<8, iru d uhylhz ri wkh olwhudwxuh1

<Vrph ri klv uhvxowv duh wkdw d 43( lqfuhdvh lq XV xqhpsor|phqw udwhv ohdgv wr d 415( lqfuhdvh lq ryhudoo pruwdolw|/ d 416( lqfuhdvh lq pruwdolw| gxh wr fluukrvlv/ d 41:( lqfuhdvh lq pruwdolw| gxh wr fduglrydvfxodu glvhdvh/ d 31:( lqfuhdvh lq vxlflgh udwh/ dqg d 617( lqfuhdvh lq wkh lqflghqfh ri hfrqrplf fulphv1 Ixuwkhupruh/ kh hvwlpdwhv wkdw d 43( lqfuhdvh lq wkh sursruwlrq ri xqhpsor|hg

|rxwk ehwzhhq 49 dqg 57 |hduv ri djh ohdgv wr d 9( lqfuhdvh lq wkh ryhudoo qxpehu ri lqfdufhudwlrqv dqg d 41<( lqfuhdvh lq wkh ryhudoo krplflgh udwh1

7

(5)

5 Wkh prgho

Lq wklv vhfwlrq L vhw xs d Pruwhqvhq0Slvvdulghv htxloleulxp vhdufk prgho431 Lq wkhvh fodvv ri prghov xqhpsor|hg zrunhuv zhljk d vhw ri vhdufk frvwv djdlqvw wkh qhw ydoxh ri kdylqj d mre dqg wkh h{shfwhg vxffhvv ri wkhlu vhdufk1 Khqfh/ wkh ohvv dwwudfwlyh xqhpsor|phqw vhhpv wkh vwurqjhu lv wkhlu uhdfwlrq441 Wklv lv frqvlvwhqw zlwk Urw0 whu*vwkh h{shfwdqf|0ydoxh wkhru| zkhuh prwlydwlrq ghshqgv rqeholhivwkdw hruw zloo ohdg wr wkh ghvluhg rxwfrph/ wkdw wkh ghvluhg rxwfrph zloo eh uhzdughg dqg wkdw wkh uhzdug frqwulexwh wr vhoi uhdol}dwlrq451 Krzhyhu/ vhdufk prghov kdyh qrw |hw ixoo| lqfrusrudwhg wkh hylghqfh iurp wkh vrfldo sv|fkrorj| olwhudwxuh/ qdpho| wkdw orz survshfwv ri vxffhvv dqg uhshdwhg idloxuh gdpdjh dq lqglylgxdo*v shufhswlrq ri vhoi dqg whqg wr sdvvlydwh udwkhu wkdq dfwlydwh1 Wklv lv odehohg ohduqhg khosohvvqhvv e| Vholjpdq +4<:8,1 Vholjpdq xvhv wklv whup dv wkh uhvsrqvh ri jlylqj xs lq rughu wr glvwdqfh rqhvhoi iurp hyhqwv wkdw suryrnh wudxpd zkhq qr yroxqwdu| dfwlrq lv h{shfwhg wr dhfw wkh rxwfrph1 Xqhpsor|phqw fdq eh d pdmru fdxvdo idfwru suh0 glvsrvlqj shrsoh wr ohduqhg khosohvvqhvv1 Vfkrnndhuw dqg YdqRrwhjhp +4<<3,/ iru h{dpsoh/ kdyh lq d vwxg| grfxphqwhg wkdw wkh orvv ri iuhhgrp lv vhhq dv d fuxfldo ghsulydwlrq e| pdq| xqhpsor|hg Ehojldq zrunhuv1 Ixuwkhupruh/ Sdwwrq dqg Qroohu +4<;7, grfxphqw fdxvdolw| ehwzhhq xqhpsor|phqw dqg ohduqhg khosohvvqhvv dqg Jrogvplwk hw do1 +4<<9d, irxqg wkdw mreohvvqhvv gdpdjhv dq lqglylgxdo*v shufhswlrq ri vhoi1

Khuh/ L hperg| ohduqhg khosohvvqhvv lqwr wkh vhdufk prgho e| ohwwlqj lqglylgxdo prwlydwlrq frvwv lqfuhdvh zlwk wlph vshqw rxw ri zrun dqg zlwk oderxu pdunhw vodfn0 qhvv1 Wklv lv vxssruwhg e| hylghqfh lq wkh vrfldo sv|fkrorj| olwhudwxuh1 Ihdwkhu dqg Gdyhqsruw +4<;4, iru h{dpsoh/ irxqg wkdw srvlwlyh prwlydwlrq wr vhhn hpsor|phqw dprqj xqhpsor|hg |rxwk lv uhodwhg wr wkh pxowlsolfdwlyh frpelqdwlrq rih{shfwdwlrq ri vxffhvv dqg wkh shufhlyhg qhw dwwudfwlyhqhvv ri hpsor|phqw1 Ixuwkhupruh/ udwlqjv ri frqghqfh wr jhw d mre/ hruw wr vhhn hpsor|phqw dqg qhhg wr jhw d mre whqghg wr eh orzhu iru wkh suhvhqw vlwxdwlrq zkhq frpsduhg zlwk wkh vlwxdwlrq rq uvw ohdylqj vfkrro1 Wkh| frqfoxgh wkdw wklv lv frqvlvwhqw zlwk wkhlu dvvxpswlrq wkdw uhshdwhg idloxuh wr jhw d mre zloo ohdg wr ghfuhdvlqj h{shfwdwlrqv ri vxffhvv dqg ghfuhdvlqj ohyhov ri prwlydwlrq1 Ixuwkhupruh/ Edxp hw do1 +4<;9, irxqg wkdw xqhpsor|hg zrun0 huv uhvsrqvh elskdvlfo| zlwk uhdfwdqfh pdqlihvwhg dw hduo| vwdjhv ri frqwuro orvv dqg ohduqhg khosohvvqhvv dw odwhu vwdjhv1 Wkh uhvxowv lq Pdoolqfnurgw dqg Iuhw} +4<;;, lqglfdwh wkdw xqhpsor|phqw gxudwlrq/ vhoi hvwhhp dqg lqwhuqdo orfxv ri frqwuro duh doo qhjdwlyho| fruuhodwhg wr mre vhhnlqj ehkdylru1 Kloo +4<::, vxppdul}hv wkh uhvxowv ri d hog zrun frqvlvwlqj ri 483 lqwhuylhzv zlwk xqhpsor|hg zrunhuv1 Dw|slfdo

43Vhh Slvvdulghv +4<:</ 4<<3, / Ehdq dqg Od|dug +4<;<, dqg Pruwhqvhq dqg Slvvdulghv +4<<<,1

44Euhkp +4<99, srvlwhg wkdw rqh*v uhvsrqvh wr orvv ri frqwuro lv olnho| wr eh rqh ri uhdfwdqfh1 Kh fodlphg wkdw shrsoh zkr kdyh uhfhqwo| orvw frqwuro ryhu dq dvshfw ri wkhlu olih duh olnho| wr pdnh yljrurxv dqg uhshdwhg dwwhpswv dw uhjdlqlqj wkdw frqwuro1 Iru h{dpsoh/ wkh wudxpd ri ehlqj xqhpsor|hg pd| lqgxfh xqhpsor|hg zrunhuv wr wu| kdughu wr jhw zrun1 Wkh uhvxowv lq Nhvvohu hw do1 +4<;<, vxssruw wklv wkhru|1 Wkh| irxqg wkdw wkh xqhpsor|hg zrunhuv h{shulhqflqj wkh kljkhvw ohyhov ri dq{lhw| dqg ghsuhvvlrq kdg wkh juhdwhvw suredelolwlhv ri uhhpsor|phqw ryhu wkh vxevhtxhqw |hdu1 Zruwpdq dqg Euhkp +4<:8, vxjjhvwhg wkdw uhdfwdqfh rffxuv hduo| lq wkh surfhvv dqg ohduqhg khosohvvqhvv iroorzv dv ohqjwk ri h{srvxuh wr wudxpd lqfuhdvhv1

45Vhh Urwwhu +4<87,/ Yurrp +4<97, dqg +Ihdwkhu/ 4<<3/ fkdswhu 7,1 Vhh dovr Dunhv dqg Jduvnh +4<;5, dqg Ehfn +4<:;, iru uhylhzv ri wkh olwhudwxuh rq prwlydwlrq1

8

(6)

xqhpsor|hg zrunhu uhsruwhg wkdw dv wlph jrhv rq kh ihhov ohvv frqghqw lq vhdufklqj iru zrun dqg dovr ohvv hpsor|deoh1 Diwhu qlqh prqwkv wr d |hdu rxw ri zrun wkh lqglylgxdo whqgv wr vhwwoh grzq wr d olih ri xqhpsor|phqw1 Ilqdoo| wkh shuvrq kdv orvw wkh eholhi lq klv rzq fdsdflw| wr uhvfxh klpvhoi461

Ohwcr eh prwlydwlrq frvwv phdvxuhg lq oderxu xqlwv iru lqglylgxdo zkr kdv ehhq rxw ri zrun iru r shulrgv1 Wkh prwlydwlrq frvwv duh vshflhg lq wkh iroorzlqj zd|=

cr ' K

Egnq rc K :f +4,

dqg duh xqhpsor|phqw dqg ydfdqflhv uhvshfwlyho|/ erwk phdvxuhg dv vkduhv ri wkh oderxu irufh1 Wkh xqhpsor|phqw ydfdqf| udwlr lv d phdvxuh ri oderxu pdunhw wljkwqhvv1 q lv d sdudphwhu wkdw wudqvirupv wlph vshqw rxw ri zrun wr prwlydwlrq frvwv1 g uh hfwv lqglylgxdo suhihuhqfhv iru vhdufklqj frpsduhg wr wkh ydoxh ri krph surgxfwlrq1 Krph surgxfwlrq lv dvvxphg wr eh uholqjxlvkhg zkhq vhdufklqj iru zrun1

Xqhpsor|phqw hyroyhv dffruglqj wr wkh iroorzlqj g|qdplf htxdwlrq=

{|n 'j|||k|3k| c f k c +5,

zkhuh wrwdo oderxu irufh lv vhw wr xqlw| vr wkdw hpsor|phqw lv jlyhq e| E|1 { lqglfdwhv wkdw wkh yduldeoh lv phdvxuhg lq uvw glhuhqfhv1 Mre0zrunhu sdluv duh dvvxphg wr vhsdudwh dw wkh udwh j|1 Wkh odvw whup lq +5, lv frpprqo| uhihuuhg wr dv hlwkhu wkh pdwfklqj ixqfwlrq ru wkh klulqj ixqfwlrq1 L kdyh dvvxphg d Free0 Grxjodv vshflfdwlrq ri wkh pdwfklqj ixqfwlrq zlwk frqvwdqw uhwxuqv wr vfdoh1 Wklv ixqfwlrqdo irup lv zlgho| dffhswhg lq wkh wkhruhwlf olwhudwxuh/ dqg qrw uhmhfwhg lq d ydvw qxpehu ri hpslulfdo vwxglhv471 Dv djjuhjdwh uhfuxlwlqj lqwhqvlw| lv dvvxphg wr eh sursruwlrqdo wr wkh ydfdqf| udwh/ k lv wkh hodvwlflw| ri pdwfklqj zlwk uhvshfw wr djjuhjdwh uhfuxlwlqj lqwhqvlw|1 | wudqvirupvT|kL|3k lqwr pdwfklqj xqlwv/ khqfh/| pd| eh lqwhusuhwhg dv djjuhjdwh vhdufk h!flhqf|1 Wkh vxevfulsw|lv iru wlph shulrg1 Lq htxloleulxp/ ghqhg dv zkhuh{|n' fcdw d frqvwdqw vhsdudwlrq dqg sdu0 wlflsdwlrq udwh dqg dw frqvwdqw vhdufk h!flhqf|/ +5, vkrzv wkh uhodwlrqvkls ehwzhhq wkh ydfdqf| udwh dqg wkh xqhpsor|phqw udwh1 Wklv uhodwlrqvkls lv ehwwhu nqrzq dv wkh Ehyhulgjh fxuyh481 Zkloh wkh xqhpsor|phqw udwh kdv ulvhq vxevwdqwldoo| ryhu wkh odvw wzhqw| |hduv lq pdq| frxqwulhv/ wkh ydfdqf| udwh lv uhodwlyho| xqfkdqjhg/

khqfh wkh Ehyhulgjh0fxuyh kdv vkliwhg1 H{sodqdwlrqv iru wklv vhhpv wr olh zlwk wkh xqhpsor|hg/ wkhlu vhdufk hhfwlyhqhvv kdv ghfolqhg/ l1h1 | kdv vkliwhg491 P| re0 mhfwlyh lv wr h{sodlq vxfk vkliwv e| prghoolqj vhdufk hhfwlyhqhvv dv dq hqgrjhqrxv yduldeoh1 Iru wklv sxusrvh L wuhdw wkh ydfdqf| udwh dqg wkh vhsdudwlrq udwh dv h{rjh0 qrxv1 Zkloh wkh vhsdudwlrq udwh lv xvxdoo| dvvxphg wr eh h{rjhqrxv lq wkh olwhudwxuh/

ydfdqflhv duh jhqhudoo| prghoohg hqgrjhqrxvo|1 Krzhyhu/ Slvvdulghv +4<<3/ Fkdswhu 7, vkrzv wkdw prghoolqj ydfdqflhv dv hqgrjhqrxv rqo| sod|v d plqru uroh lq wklv

46Vhh dovr Jrogvplwk hw do1 +4<<9e,1

47Vhh iru h{dpsoh Mdfnpdq hw do1 +4<<3,/ Eodqfkdug dqg Gldprqg +4<;<, dqg Shwurqjror +4<<<,1

48Vhh Eodqfkdug dqg Gldprqg +4<;<, iru wkhruhwlfdo irxqgdwlrq dqg hpslulfdo uhohydqfh ri wkh Ehyhulgjh fxuyh1

49Vhh Mrkqvrq dqg Od|dug +4<;9, dqg Od|dug hw do1 +4<<4, iru hpslulfdo hylghqfh1

9

(7)

fodvv ri prghov1 Vlqfh L zloo rqo| frqvlghu g|qdplfv lq dqg rxw ri xqhpsor|phqw lq htxloleulxp L vxssuhvv wkh qrwdwlrq iru wlph shulrg lq wkh iroorzlqj1

L iroorz Slvvdulghv +4<:<, dqg vsolw pdwfkhv lqwr hpsor|phqw djhqf| pdwfkhv dqg sulydwh pdwfkhv/ ghqrwhgdqg uhvshfwlyho|1 L kdyh fkrvhq wkh Free0Grxjodv vshflfdwlrq zlwk frqvwdqw uhwxuqv wr vfdoh dqg lghqwlfdo hodvwlflw| ri pdwfklqj zlwk uhvshfw wr uhfuxlwlqj lqwhqvlw| lq erwk pdwfklqj ixqfwlrqv/ vr wkdwlq +5, lv ghqhg dv=

'n @c +6,

zkhuh lv hpsor|phqw djhqf| vhdufk hhfwlyhqhvv dqg lv d sdudphwhu wkdw wudqvirupv xqhpsor|hg zrunhuv* sulydwh vhdufk sduwlflsdwlrq/@/ lqwr h!flhqf| xqlwv1 Hpsor|phqw djhqf| vhdufk hhfwlyhqhvv lv dvvxphg wr eh h{rjhqrxv1 Wklv sduwlfxodu vshflfdwlrq lpsolhv wkdw vhdufk sduwlflsdwlrq pd| eh vhhq dv Klfnv* qhxwudo whfkqlfdo fkdqjh lq wkh whfkqrorj| ri mre pdwfklqj1

Djhqwv frqwdfw hdfk rwkhu dffruglqj wr d Srlvvrq surfhvv zkhuh wkh suredelo0 lwlhv ri pdwfklqj sulydwho|/ ^/ dqg wkurxjk wkh hpsor|phqw djhqf|/ ^/ duh jlyhq e| wkh pdwfklqj ixqfwlrqv frqvlvwhqw zlwk +5, dqg +6, lq wkh iroorzlqj zd|=

^ ' @ k 3k

@ '

k c +7,

dqg

^' k 3k

'

k +8,

Doo zrunhuv duh dvvxphg wr kdyh htxdo txdolfdwlrqv dqg vnloov/ uhfhlyh lghqwlfdo uhpxqhudwlrq dqg duh qrw glvfulplqdwhg e| hpsor|huv/ vr wkhuh lv qr vhdufk rq wkh mre/ qr txlwwlqj/ qr uhmhfwlrq ri mre rhuv/ dqg qr lqyroxqwdu| vhsdudwlrqv1 Krzhyhu/

khwhurjhqhlw| lq prwlydwlrq frvwv lpsolhv wkdw xqhpsor|hg zrunhuv fkrrvh glhuhqw vhdufk vwudwhjlhv1 Frqvlghu dq xqhpsor|hg shuvrq1 Li kh lv dfwlyh lq mre vhdufklqj/

wkh suredelolw| ri jhwwlqj d mre gxulqj wkh shulrg lv ^ n^1 L dvvxph wkdw wkh suredelolwlhv duh nqrzq zlwk frpsohwh fhuwdlqw| dqg wkdw doo djhqwv kdyh lqqlwh krul}rqv dqg glvfrxqw ixwxuh lqfrphv zlwk wkh glvfrxqw idfwru*E no/ zkhuho lv wkh uhdo lqwhuhvw udwh1 Wkhq/ wkh lqglylgxdo zloo eh dfwlyh lq vhdufk iru zrun li wkh prwlydwlrq frvwv gr qrw h{fhhg wkh h{shfwhg ixwxuh prqh| jdlq ri ehlqj dfwlyh/ l1h1

cr ^ ETL

 no c +9,

zkhuh T dqg L duh wkh suhvhqw ydoxhv ri kdylqj d mre dqg ehlqj xqhpsor|hg uh0 vshfwlyho|1

Wkh suhvhqw ydoxhv ri kdylqj d mre dqg ehlqj xqhpsor|hg duh T '  n

EjTnjL

 no

c +:,

dqg

L 'wn E^Ln^T

 no n 4@

^ ETL

 no crcf

c +;,

:

(8)

uhvshfwlyho|1 Wkh suhvhqw ydoxh ri kdylqj d mre lv wkh pdunhw zdjh +vhw h{rjhqrxvo|

wr xqlw|, soxv wkh h{shfwhg suhvhqw ydoxh lq wkh qh{w shulrg/ glvfrxqwhg1 Wkh lq0 glylgxdo wdnhv lqwr dffrxqw wkdw zlwk d suredelolw| htxdo wr wkh vhsdudwlrq udwh/

j/ kh zloo ehfrph xqhpsor|hg lq wkh qh{w shulrg1 Vlploduo|/ wkh suhvhqw ydoxh ri ehlqj xqhpsor|hg lv wkh xqhpsor|phqw ehqhw/w/ soxv wkh h{shfwhg suhvhqw ydoxh lq wkh qh{w shulrg1 Krzhyhu/ wkh suredelolw| ri jhwwlqj d mre ghshqgv rq zkhwkhu wkh shuvrq lv dfwlyh ru sdvvlyh lq klv vhdufk iru zrun1 Wklv lv fdswxuhg e| wkh odvw whup lq htxdwlrq +;,1

Dq xqhpsor|hg zrunhu zkr fkrrvhv wr eh dfwlyh zloo dovr eh dfwlyh lq ixwxuh sh0 ulrgv/ l1h1 wkh uvw whup lq wkh eudfnhwv lq +;, lv qrq0qhjdwlyh1 Wkhq/ e| vxewudfwlqj +;, iurp +:, zh jhw

TL ' E no

Ew ncr onjn^n^

c +<,

dqg e| lqvhuwlqj +<, lqwr +9, xvlqj htxdwlrqv +4,/ +7,/ dqg +8, zh jhw wkh iroorzlqj frqglwlrq iru wkh xqhpsor|hg shuvrq wr eh dfwlyh lq vhdufk iru zrun=

g

k

Ew K

onjn

k qrgr +43,

Wkh ydoxh ri g wkdw pdnh +43, krog zlwk htxdolw| ghshqgv rq r dqg lv ghqhg dv gr1 Khqfh/ prwlydwlrq frvwv/ fdswxuhg e| wlph vshqw rxw ri zrun/ oderxu pdunhw wljkwqhvv dqg lqglylgxdo suhihuhqfhv/ g/ ghwhuplqh wkh qhw dwwudfwlyhqhvv ri ehlqj dfwlyh lq vhdufk iru zrun1 Ehlqj dfwlyh lv ohvv dwwudfwlyh li wkh suredelolw| ri ehfrplqj xqhpsor|hg djdlq lv kljk/ li wkh suredelolw| ri jhwwlqj zrun wkurxjk wkh hpsor|phqw djhqf| lv kljk/ dqg li wkh frpshqvdwlrq udwh/ w/ lv kljk1 Ixuwkhupruh/ ohvv ydoxh lv sxw rq wkh ixwxuh lqfrph jdlq li wkh lqwhuhvw udwh lv kljk1

Vxssrvh wkdw hdfk lqglylgxdo lv dvvrfldwhg zlwk d ohyho ri g zklfk duh glv0 wulexwhg dprqj wkh hpsor|hg zrunhuv zlwk d fxpxodwlyh ghqvlw| htxdo wr 8 E1 Wkhqg dprqj wkrvh uhfhqwo| xqhpsor|hg kdyh dq lghqwlfdo glvwulexwlrq vlqfh vhs0 dudwlrqv duh gudzq udqgrpo| iurp wkrvh hpsor|hg1 Frqvhtxhqwo|/ 8Egf lv wkh vkduh ri wkh jE uhfhqwo| xqhpsor|hg zrunhuv zkr kdyh d ydoxh ri g orzhu wkdqgf1 Pruhryhu/ lq jhqhudo/ vlqfh sulydwh pdwfkhv duh gudzq udqgrpo| iurp wkh srro ri dfwlyh mre0vhdufkhuv/ @r '8Egr lv wkh vkduh ri wkhjE E^^r xqhpsor|hg zrunhuv zkr kdyh ehhq xqhpsor|hg irurshulrgv dqg zkr kdyh d ydoxh ri g orzhu wkdq gr4:/ l1h1 iurp +43,=

@r'8

#

k

Ew K

onjn

k qr

$

c 8 :f +44,

Qrwlfh wkdw wkh vkduh ri glvfrxudjhg zrunhuv duh lqfuhdvlqj zlwk wlph vshqw xq0 hpsor|hg1 Ixuwkhupruh/ lw fdq eh vkrzq wkdw @r lv ghfuhdvlqj lq xqhpsor|phqw/

krz idvw ghshqgv rq wkh ixqfwlrqdo irupv ri 8 dqg K1 Wkh hhfw lv odujh li wkh glvwulexwlrq ri g lv frpsuhvvhg dqg li wkh hhfwv rq prwlydwlrq frvwv duh kljk1

4:Qrwlfh wkdw wkhuh duh pruh xqhpsor|hg zrunhuv zkr kdyh ehhq rxw ri zrun iruvshulrgv wkdq +4x, +4tDtS,v/ exw wkhvh duh suhylrxvo| glvfrxudjhg1

;

(9)

Wkh dyhudjh vhdufk sduwlflsdwlrq lv irxqg e| dgglqj wkh ohqjwk0vshflf sduwlf0 lsdwlrq udwhv surshuo| zhljkhg=

@'

"

[

'f

@jE E^^

+45,

Wkh vhdufk sduwlflsdwlrq udwh/@/ lv qrz xqltxho| ghwhuplqhg e| xqhpsor|phqw dqg wkh h{rjhqrxv yduldeohv/c wc oc j dqg1 Khqfh/ e| lqvhuwlqj +7,/ +8, dqg +44, lqwr +45, zh pd| zulwh dyhudjh vhdufk sduwlflsdwlrq/ @/ lq wkh iroorzlqj zd|=

@'@

3(

3 c w

3c o

3c j

nc

n

+46,

Wkh vljq ri wkh sduwldo ghulydwlyhv duh lqglfdwhg ehorz wkh yduldeohv1 Lqfuhdvhg hp0 sor|phqw djhqf| h!flhqf|/ / lqfuhdvhg frpshqvdwlrq/ w/ dqg lqfuhdvhg glvfrxqw0 lqj udwh/ o/ doo pdnh lw ohvv dwwudfwlyh wr eh dfwlyh lq vhdufk iru zrun1 Dq lqfuhdvh lq wkh vhsdudwlrq udwh/j/ dovr pdnhv lw ohvv idyrudeoh wr eh dfwlyh/ exw vlqfh lw dovr udlvhv wkh vkduh ri uhfhqwo| xqhpsor|hg zrunhuv/ dqg vlqfh wkhvh kdyh d kljkhu sdu0 wlflsdwlrq udwh/ wkh qhw hhfw lv dq lqfuhdvh lq dyhudjh vhdufk sduwlflsdwlrq1 Lqfuhdvhg qxpehu ri ydfdqflhv/ / wljkwhqv wkh oderxu pdunhw zklfk frqwulexwhv wr lqfuhdvhg vhdufk sduwlflsdwlrq/ vlplodu wr wkh hhfwv ri d orzhu xqhpsor|phqw udwh1 Orzhu xqhpsor|phqw lqfuhdvhv vhdufk sduwlflsdwlrq dqg wkxv djjuhjdwh vhdufk h!flhqf| lq wkuhh zd|v1 Iluvw/ lw ghfuhdvhv wkh dyhudjh xqhpsor|phqw gxudwlrq1 Vlqfh vhdufk sduwlflsdwlrq lv orzhu dprqj wkrvh zkr kdyh ehhq rxw ri zrun iru d orqj wlph/ wklv lqfuhdvhv dyhudjh vhdufk sduwlflsdwlrq1 Vhfrqg/ prwlydwlrq frvwv ghfuhdvh ehfdxvh ri d wljkwhu oderxu pdunhw1 Ilqdoo|/ ghfuhdvhg xqhpsor|phqw lqfuhdvhv wkh suredelolw|

ri qglqj zrun/ frqvhtxhqwo|/ wkh lqfhqwlyhv wr vhdufk iru zrun lpsuryhv1 Wkhvh hhfwv duh doo srvlwlyh h{whuqdolwlhv lq wklv prgho> lqfuhdvhg vhdufk sduwlflsdwlrq e| rqh djhqw orzhuv xqhpsor|phqw dqg lqfuhdvhv vhdufk sduwlflsdwlrq e| dqrwkhu djhqw/ ru uhyhuvho|/ lqfuhdvhg xqhpsor|phqw jhqhudwhv srvlwlyh h{whuqdolwlhv wkdw lq0 fuhdvhv xqhpsor|phqw ixuwkhu1 Lq wklv uhvshfw wkh prgho lv dqdorjxh wr wkh prgho lq Gldprqg +4<;5,1 Gldprqg irfxvhv rq srvlwlyh h{whuqdolwlhv ri wudglqj wr vkrz wkdw wkhuh pd| eh pxowlsoh htxloleuld lq xqhpsor|phqw1 Vhyhudo rwkhu dxwkruv dovr dgguhvv wkh lvvxh ri srvlwlyh h{whuqdolwlhv jhqhudwlqj pxowlsoh htxloleuld lq vhdufk prghov1 Zkloh Pruwhqvhq +4<;<, dqg Pruwhqvhq +4<<<,/ iru h{dpsoh/ srlqw dw lq0 fuhdvlqj uhwxuqv lq surgxfwlrq/ Frohv dqg Pdvwhuv +5333, irfxv rq ghfolqlqj zrunhu vnloov zkloh xqhpsor|hg1

Htxloleulxp xqhpsor|phqw lv ghwhuplqhg e| lqvhuwlqj +6, dqg +46, lqwr +5, +nhhslqj lq plqg wkdw zh kdyh vxssuhvvhg wkh qrwdwlrq iru wlph dqg wkdw{|n' f lq htxloleulxp,=

j E ' En@E(c wc oc jc k 3k +47,

Vhsdudwlrqv duh ghfuhdvlqj dqg djhqf| pdwfkhv duh lqfuhdvlqj lq xqhpsor|phqw1 Krzhyhu/ krz sulydwh pdwfkhv uhvsrqg wr lqfuhdvhg xqhpsor|phqw lv dpeljxrxv1 Wkh dyhudjh vhdufk h!flhqf| lv ghfuhdvlqj lq xqhpsor|phqw vlqfh vhdufk sduwlflsd0 wlrq idoov/ krzhyhu/ wkhuh duh pruh xqhpsor|hg zrunhuv wr fkrrvh iurp zklfk pdnh pdwfklqj hdvlhu1 Li wkh glvwulexwlrq ri lqglylgxdo prwlydwlrq frvwv duh vx!flhqwo|

frpsuhvvhg/ li wkh hodvwlflw| ri prwlydwlrq frvwv zlwk uhvshfw wr wkh oderxu pdunhw

<

(10)

2 3 4 5 6 7 8 9 10 11 12 .018

.019 .02 .021

Unemployment Rate of

separations matches

Iljxuh 4= Dqxphulfdo h{dpsoh ri vhsdudwlrqv dqg pdwfkhv lq vwhdg| vwdwh htxloleuld1 wljkwqhvv lv vx!flhqwo| kljk/ ru li wkh gxudwlrq0ghshqgdqw prwlydwlrq frvwv lqfuhdvh vx!flhqwo|/ wrwdo pdwfkhv duh ghfuhdvlqj lq xqhpsor|phqw dw vrph ohyho ri xqhp0 sor|phqw1 Khqfh/ li wkhvh frqglwlrqv duh ixooohg dw d uhohydqw xqhpsor|phqw ohyho wkhuh pd| h{lvw pxowlsoh htxloleuld1 Wkh qxphulfdo h{dpsoh lq jxuh 4 looxvwudwhv vxfk d vlwxdwlrq1 Lq wklv sduwlfxodu h{dpsoh wkhuh duh wkuhh htxloleuld ohyhov ri xq0 hpsor|phqw/ dw 2I/eDIdqgbHI/ uhvshfwlyho|1 Wkh xqghuo|lqj dvvxpswlrqv rq sdudphwhu ydoxhv/ h{solflw ixqfwlrqdo irupv dqg h{rjhqrxv yduldeohv duh jlyhq lq wkh dsshqgl{1

6 Xqhpsor|phqw g|qdplfv

Vlqfh vhdufk prghov rqo| ghvfuleh wudqvlwlrq lq dqg rxw ri xqhpsor|phqw lq htxl0 oleulxp lw lv qrw srvvleoh wr ghwhuplqh xqhpsor|phqw g|qdplfv zlwklq wkh prgho suhvhqwhg lq suhylrxv vhfwlrq1 Krzhyhu/ e| orrnlqj forvhu dw wkh htxloleuld zh fdq ghwhuplqh zkhwkhu dq| ri wkh htxloleuld duh orfdoo| vwdeoh4;1

Dsrvvleoh uhodwlrqvkls ehwzhhq pdwfkhv dqg vhsdudwlrqv lq htxloleulxp/ vlp0 lodu wr wkh qxphulfdo h{dpsoh lq jxuh 4/ lv vkrzq lq wkh wrs gldjudp ri jxuh 51 Wkh wkuhh htxloleuld duh odehohg W/ 2W dqg W uhvshfwlyho|1 Wkh fxuyhv duh lqydolg rxwvlgh wkh htxloleuld/ krzhyhu/ wkh vorsh ri wkh fxuyhv lq htxloleulxp duh ydolg1 Khqfh/ W dqgW duh erwk orfdoo| vwdeoh1 2W/ rq wkh rwkhu kdqg/ lv orfdoo|

4;Dq htxloleulxp lv orfdoo| vwdeoh li d vpdoo ghyldwlrq iurp wkh htxloleulxp ohdgv wr d frqyhuvlrq edfn wr wkh htxloleulxp1

43

(11)

xqvwdeoh ehfdxvh d vpdoo ghyldwlrq eulqjv wkh hfrqrp| dzd| iurp 2W1 Wklv fdq hdvlo| eh looxvwudwhg dv lq wkh vhfrqg gldjudp zkhuh wkuhh fxuyhv duh ghslfwhg/ rqh iru wkuhh srvvleoh vhsdudwlrq udwhv1 Wkh krul}rqwdo d{lv vkrzv odjjhg xqhpsor|phqw dqg wkh yhuwlfdo d{lv vkrzv fxuuhqw xqhpsor|phqw1 Xqhpsor|phqw ghfuhdvhv zkhq wkh fxuyh lv ehorz wkh 78J0olqh1 Qh{w shulrg zh pryh grzq dqg wr wkh ohiw rq wkdw vdph fxuyh1 Wklv frqwlqxhv xqwlo zh klw wkh 78J0olqh lq htxloleulxp1 Li wkhuh duh pruh vhsdudwlrqv wkdq pdwfkhv zh pryh xs dqg wr wkh uljkw xqwlo d qhz htxloleulxp lv uhdfkhg1

Wkh htxloleulxp dqdo|vlv vkrzv wkdw dq lqfuhdvh lq wkh vhsdudwlrq udwh pd|

uhpryh wkh wzr orzhu htxloleuld/ ohdylqj wkh xsshu htxloleulxp1 Iljxuh 5 looxvwudwhv krz xqhpsor|phqw pd| hyroyh diwhu d vkliw lq wkh vhsdudwlrq udwh1 Lq wkh erwwrp gldjudp wkh vhsdudwlrq udwh lv vkrzq rq wkh yhuwlfdo d{lv1 Vxssrvh wkdw wkh hfrqrp|

lv dw orzhu htxloleulxp zlwk d vhsdudwlrq udwh htxdo wr jf/ srlqw lq wkh plggoh dqg wkh erwwrp gldjudpv1 Dv orqj dv wkh vhsdudwlrq udwh grhv qrw h{fhhgjM xqhp0 sor|phqw zloo uhpdlq dw d uhodwlyho| orz ohyho/ ehwzhhq srlqwv dqg1 Krzhyhu/ li wkh vhsdudwlrq udwh h{fhhgv jM wkhuh lv rqo| rqh htxloleulxp/ wkh xsshu rqh/ deryh srlqw 1 Xqhpsor|phqw zloo ulvh xqwlo wkh +xsshu, htxloleulxp lv uhdfkhg1 Wkhq/

dw wklv kljk ohyho ri xqhpsor|phqw/ d uhgxfwlrq lq wkh vhsdudwlrq udwh wr lwv lqlwldo ohyho zloo qrw uhgxfh xqhpsor|phqw zruwk phqwlrqlqj/ xqhpsor|phqw lv vwxfn dw wkh xsshu htxloleulxp ohyho1 Wkh vhsdudwlrq udwh pxvw eh eurxjkw grzq wr ehorzju

iru xqhpsor|phqw wr uhdfk d orzhu htxloleulxp1 Xqhpsor|phqw zloo wkhq hyhqwxdoo|

vwdelol}h dw ru ehorz srlqw (1 Khqfh/ d qhjdwlyh vkliw lq dq dqwhfhghqw yduldeoh pd| vkliw wkh htxloleulxp xqhpsor|phqw wr d kljk vwdwh1 Krzhyhu/ d vkliw lq wkh yduldeoh edfn dw lwv lqlwldo ohyho lv qrw vx!flhqw iru xqhpsor|phqw wr uhwxuq wr wkh orzhu htxloleulxp1 Wklv pd| h{sodlq zk| xqhpsor|phqw vhhpv wr pryh pruh hdv|

xs wkdq grzq1

7 Frqfoxglqj frpphqwv

Lq wklv sdshu L vhw xs d Pruwhqvhq0Slvvdulghv vhdufk prgho zlwk lqglylgxdoo| glv0 wulexwhg prwlydwlrq frvwv wkdw duh lqfuhdvlqj lq xqhpsor|phqw gxudwlrq dqg lq oderxu pdunhw vodfnqhvv1 Wklv prgho lqfrusrudwhv dq lpsruwdqw frqwulexwlrq wr uhvhdufk rq xqhpsor|phqw iurp wkh vrfldo sv|fkrorj| olwhudwxuh nqrzq dv ohduqhg khosohvvqhvv1 Dffruglqj wr wklv wkhru| zlwkgudzdo dqg glvfrxudjhphqw duh olnho|

frqvhtxhqfhv ri wkh dgyhuvh hhfwv ri xqhpsor|phqw/ hvshfldoo| zkhq mreohvvqhvv lv h{shfwhg wr eh surorqjhg1 Wkh prgho lqwurgxfhg khuh rhuv d frpprq jurxqg iru hfrqrplvwv zkr irfxv pdlqo| rq hfrqrplf lqfhqwlyhv dqg sv|fkrorjlvw zkr ihho wkdw wkhuh duh hprwlrqdo idfwruv wkdw duh mxvw dv lpsruwdqw wr h{sodlq wkh glvfrxu0 djhg zrunhu hhfw1 Dqrwkhu ihdwxuh ri wkh prgho lv wkdw wkhuh pd| h{lvw pxowlsoh xqhpsor|phqw htxloleuld ri zklfk vrph duh orfdoo| xqvwdeoh1 Wklv lpsolhv wkdw li d qhjdwlyh vkrfn lq dq dqwhfhghqw yduldeoh/ iru h{dpsoh/ lqfuhdvhv xqhpsor|phqw deryh wkh xqvwdeoh htxloleulxp/ xqhpsor|phqw zloo lqfuhdvh ixuwkhu xqwlo dq hyhq kljkhu htxloleulxp lv uhdfkhg1 Dvkrfn wkdw eulqjv wkh yduldeoh edfn dw lwv lql0 wldo ohyho zloo qrw eh hqrxjk wr eulqj xqhpsor|phqw edfn dw wkh orzhu htxloleulxp1 Khqfh/ wkh prgho pd| h{sodlq zk| xqhpsor|phqw vhhpv wr pryh pruh hdvlo| xs wkdq grzq1

Dw ohdvw wzr lqwhuhvwlqj txhvwlrqv hphujh lq oljkw ri wkh prgho1 Iluvw/ dw d kljk

44

(12)

ut

Separations Matches

u1* u2* u3*

u1* u2* u3*

σΗ

σ

B

C A

A B

C

45°

u1*

u2*

u3*

ut-1

ut-1

ut-1 D

σ

σ/

σ+ σ σ/

D

Iljxuh 5= Wrs= Pdwfkhv dqg vhsdudwlrqv1 Plggoh= Xqhpsor|phqw g|qdplfv1 Erw0 wrp= Fkdqjhv lq wkh vhsdudwlrq udwh1

45

(13)

xqhpsor|phqw ohyho vkrxog wkh jryhuqphqw wdnh qrq0vwuxfwxudo dfwlrqv wr eulqj xq0 hpsor|phqw grzq hyhq li wklv fdxvhv lq dwlrq wr ulvhB Hfrqrplvwv zkr eholhyh lq dq xqltxh htxloleulxp ohyho ri xqhpsor|phqw/ QDLUX +Qrq0Dffhohudwlqj0Lq dwlrq Udwh ri Xqhpsor|phqw,/ pd| eh glylghg lqwr wzr fdwhjrulhv1 Vrph/ iru h{dpsoh RHFG +4<<7/ Fkdswhu 5,/ zduq wkh srolf|pdnhuv djdlqvw vxfk dfwlrqv ehfdxvh uhvrxufhv duh lq wkhlu prvw h!flhqw xvh dqg doorfdwlrq/ dqg pdunv wkh ehvw rxwfrph srvvleoh xqghu wkh jlyhq flufxpvwdqfhv1 Rwkhuv/ vxfk dv Od|dug dqg Ehdq +4<;<,/ mxvwlhv dfwlrqv wdnhq wr ghyldwh iurp d vkruw0uxq QDLUX ehfdxvh ri d kljk ghjuhh ri shuvlv0 whqfh1 Wkh| srvwxodwh wkuhh nh| idfwv= 41 Wkhuh lv shuvlvwhqfh lq xqhpsor|phqw>

51 Orqj0uxq xqhpsor|phqw lv xqwuhqghg/ dqg d orqj0uxq QDLUX h{lvwv> 61 Xqhp0 sor|phqw lv riwhq idu iurp wkh orqj0uxq QDLUX zlwkrxw dq| xszdugv ru grzqzdugv suhvvxuh rq lq dwlrq1 Hfrqrplvwv lq erwk fdwhjrulhv djuhh/ wkrxjk/ wkdw vwuxfwxudo fkdqjhv duh qhfhvvdu| wr orzhu wkh orqj0uxq QDLUX1 Krzhyhu/ lq pdq| sduwv ri wkh hfrqrp| vwdelol}lqj irufhv dsshdu qrw wr rshudwh/ lqvwhdg srvlwlyh ihhgedfnv pdjqli|

wkh hhfwv ri vpdoo hfrqrplf vkliwv dqg pdnh iru pdq| srvvleoh htxloleulxp srlqwv/

pxowlsoh htxloleuld4<1 Wkh nh| idfwv lq Od|dug dqg Ehdq +4<;<, vkrxog dohuw xv wr vxvshfw wkh h{lvwhqfh ri pxowlsoh xqhpsor|phqw htxloleuld1 Ryhu wlph/ vkrfnv pd|

pryh xqhpsor|phqw edfn dqg iruwk ehwzhhq htxloleuld fdxvlqj xqwuhqghg surshuwlhv lq wkh orqj0uxq1 Lq hdfk htxloleulxp xqhpsor|phqw shuvlvwv zlwkrxw dq| suhvvxuh rq lq dwlrq1 Wkhuh lv qr jxdudqwhh wkdw wkh fxuuhqw htxloleulxp zloo eh wkh ehvw rqh1 Krzhyhu/ wkhru| fdq jxlgh srolf|pdnhuv lq dsso|lqj wkh uljkw hruw wr glvorgjh orfnhg0lq vwuxfwxuhv dqg uhdfk wkh prvw idyrudeoh htxloleulxp1

Wkh vhfrqg txhvwlrq wkdw hphujhv lv= Lv xqhpsor|phqw yroxqwdu|B Rqh pljkw dujxh wkdw vlqfh xqhpsor|hg zrunhuv duh qrw vhdufklqj dfwlyho| iru zrun wkh uhodwlyh xwlolw| ri ehlqj xqhpsor|hg lv wrr kljk1 Frqvhtxhqwo|/ xqhpsor|phqw lv yroxqwdu|1 Lq vhdufk prghov/ xqhpsor|hg zrunhuv fkrrvh wkhlu ehkdylru wr pd{lpl}h h{shfwhg sd|/ vr lq wkdw vhqvh lw lv yroxqwdu| wr eh dfwlyh ru sdvvlyh lq wkhlu vhdufk iru zrun1 Krzhyhu/ wkhuh duh pdvvlyh hylghqfh vxjjhvwlqj wkdw wkhuh duh kxjh qrq0shfxqldu|

frvwv ri xqhpsor|phqw/ khqfh/ xqhpsor|phqw fdqqrw eh yroxqwdu|1 Dffruglqj wr wkh dqdo|vlv lq Zlqnhopdqq dqg Zlqnhopdqq +4<<;, iru h{dpsoh/ wkh lqglylgxdo frvwv ri xqhpsor|phqw duh doprvw zkroo| qrq0shfxqldu|1 Wkh| ghfrpsrvh wkh wrwdo zhoo0ehlqj frvwv ri xqhpsor|phqw dqg fdofxodwh iurp wzr vhsdudwh sduwldo hhfwv wkh hhfw ri xqhpsor|phqw dqg wkh hhfw ri idplo| lqfrph wkdw derxw ;;( duh qrq0shfxqldu|/ dqg wkdw rqo| 45( duh shfxqldu|1 Wklv lpsolhv wkdw lqfrph pxvw eh lqfuhdvhg e| pruh wkdq :33( wr frpshqvdwh iru wkh dgyhuvh hhfw ri xqhpsor|phqw1 Fodun dqg Rvzdog +4<<7, dqg Eodqfk rzhu dqg Rvzdog +5333, frqwdlq vlplodu dqdo0

|vhv1 Fodun dqg Rvzdog +4<<7, irxqg qr vljqlfdqw shfxqldu| hhfwv rq kdsslqhvv1 Eodqfk rzhu dqg Rvzdog +5333, h{dplqhg uhsruwhg ohyhov ri kdsslqhvv rq 433/333 udqgrpo| vdpsohg Dphulfdqv dqg Eulwrqv iurp 4<:54<<;1 Wkh| irxqg wkdw wkh qrq0shfxqldu| yduldeohv/ vxfk dv xqhpsor|phqw/ lq kdsslqhvv htxdwlrqv hqwhu zlwk odujh frh!flhqwv/ uhodwlyh wr wkdw rq lqfrph1 Iru XV pdohv/ iru h{dpsoh/ lqfrph pxvw ulvh zlwk dssur{lpdwho| '93/333 shu dqqxp wr frpshqvdwh iru xqhpsor|phqw1 Hfrqrplvwv xvxdoo| dujxh wkdw wkh dgyhuvh hhfwv ri xqhpsor|phqw zloo lq0 fuhdvh wkh xqhpsor|hg zrunhuv* hruw wr vhhn uhhpsor|phqw1 Krzhyhu/ lw lv zhoo

4<Wklv lv fdoohgwkh exwwhu | hhfwdqg lv rqh ri wkh pdlq frqfhswv lq Fkdrv Wkhru| zkhuh wkh v|vwhp lq irfxv kdv h{wuhph ghshqghqfh rq lqlwldo frqglwlrqv/ vhh Oruhq} +4<97,1 Vhh dovr Duwkxu +4<<3, iru dq duwlfoh rq Srvlwlyh Ihhgedfnv lq wkh Hfrqrp|1

46

(14)

grfxphqwhg lq wkh vrfldo sv|fkrorj| olwhudwxuh wkdw wkh dgyhuvh hhfwv ri xqhpsor|0 phqw rq sv|fkrorjlfdo khdowk hyroyh wr d ihholqj ri khosohvvqhvv dqg glvfrxudjh wkh xqhpsor|hg1 Zlwkgudzdo lv d udwlrqdo uhvsrqvh wr hvfdsh wkh wudxpd ri surorqjhg xqhpsor|phqw1 Wklv vkrxog eh wdnhq lqwr dffrxqw e| hfrqrplvwv1

47

(15)

Uhihuhqfhv

Dqgroidwwr/ G1 +4<<9,1 Exvlqhvv F|fohv dqg Oderu0Pdunhw Vhdufk1 Wkh Dphulfdq Hfrqrplf Uhylhz/;9+4,/ 445651

Dunhv/ K1 U1 dqg M1 S1 Jduvnh +4<;5,1 Sv|fkrorjlfdo Wkhrulhv ri Prwlydwlrq1 Eurrnv2Froh Sxeolvklqj Frpsdq|/ Prqwhuh|/ Fdoliruqld/ 5qg hgq1

Duwkxu/ Z1 E1 +4<<3,1 Srvlwlyh Ihhgedfnv lq wkh Hfrqrp|1 Vflhqwlf Dphulfdq/

;3;81

Edxp/ D1/ U1 Iohplqj dqg G1 P1 Uhgg| +4<;9,1 Xqhpsor|phqw Vwuhvv= Orvv ri Frqwuro/ Uhdfwdqfh dqg Ohduqhg Khosohvvqhvv1 Vrfldo Vflhqfh Phglflqh/ 55+8,/

83<8491

Ehdq/ F1 dqg U1 Od|dug +4<;<,1 Zk| grhv xqhpsor|phqw shuvlvwB Wkh Vfdqglqdyldq Mrxuqdo ri Hfrqrplfv/ <4/ 6:46<91

Ehfn/ U1 F1 +4<:;,1 Prwlydwlrq Wkhrulhv dqg Sulqflsohv1 Suhqwlfh0Kdoo/ Lqf1/ Hqjoh0 zrrg Folv/ Qhz Mhuvh|1

Ehoohpduh dqg Srxolq0Vlprq +4<;6,1 Oh Sohlq Hpsorl= SrxutxrlB DIO0FLR IHG0 HUDWLRQLVW/ 4324<:<1

Ehqdwl/ O1 +5334,1 Vrph Hpslulfdo Hylghqfh rq wkh *Glvfrxudjhg Zrunhu* Hhfw1 Hfrqrplfv Ohwwhuv/ :3/ 6;:6<81

Eodqfkdug/ R1 M1 dqg S1 D1 Gldprqg +4<;<,1 Wkh Ehyhulgjh Fxuyh1Eurrnlqjv Sdshuv rq Hfrqrplf Dfwlylw|/ 4:91

Eodqfk rzhu/ G1 J1 dqg D1 M1 Rvzdog +5333,1 Zhoo0Ehlqj ryhu Wlph lq Eulwdlq dqg wkh X1V1D1 Zrunlqj Sdshu :7;: Qdwlrqdo Exuhdx ri Hfrqrplf Uhvhdufk +QEHU,1 Eodqfk rzhu/ G1 J1/ D1 M1 Rvzdog dqg S1 E1 Zduu +4<<6,1 Zhoo0Ehlqj ryhu Wlph lq Eulwdlq dqg wkh XVD1 Sdshu suhvhqwhg dw wkh Qryhpehu 4<<6 Kdsslqhvv dqg Idluqhvv Frqihuhqfh1 Orqgrq Vfkrro ri Hfrqrplfv1

Euhkp/ M1 Z1 +4<99,1 D Wkhru| ri Sv|fkrorjlfdo Uhdfwdqfh1 Dfdghplf Suhvv/ Qhz

\run1

Euhqqhu/ P1 K1 +4<:6,1 Phqwdo Loohqvv dqg wkh Hfrqrp|1 Kduydug Xqlyhuvlw| Suhvv/

Fdpeulgjh/ Pdvvdfkxvhwwv1

Euhqqhu/ P1 K1 +4<:9,1 Hvwlpdwlqj wkh Vrfldo Frvwv ri Qdwlrqdo Hfrqrplf Srolf|=

Lpsolfdwlrqv iru Phqwdo dqg Sk|vlfdo Khdowk dqg Fulplqdo Ylrohqfh1 X1V1 Jry0 huqphqw Sulqwlqj R!fh/ Zdvklqjwrq/ G1 F1

Euhqqhu/ P1 K1 +4<;7,1 Hvwlpdwlqj wkh Hhfwv ri Hfrqrplf Fkdqjh rq Qdwlrqdo Khdowk dqg Vrfldo Zhoo0Ehlqj1 Sulqwhg iru wkh xvh ri wkh Mrlqw Hfrqrplf Frpplw0 whh/ Frqjuhvv ri wkh Xqlwhg Vwdwhv1 XV Jryhuqphqw Sulqwlqj R!fh/ Zdvklqjwkrq/

G1 F1

48

(16)

Fodun/ D1 H1 dqg D1 M1 Rvzdog +4<<7,1 Xqkdsslqhvv dqg Xqhpsor|phqw1 Hfrqrplf Mrxuqdo/437/ 97;98<1

Fodun/ N1 E1 dqg O1 K1 Vxpphuv +4<:<,1 Oderxu Pdunhw G|qdplfv dqg Xqhpsor|0 phqw= DUhfrqvlghudwlrq1 Eurrnlqjv Sdshuv rq Hfrqrplf Dfwlylw|/ 46:51 Frohv/ P1 dqg D1 Pdvwhuv +5333,1 Uhwudlqlqj dqg Orqj0Whup Xqhpsor|phqw lq d

Prgho ri Xqohduqlqj e| Qrw Grlqj1 Hxurshdq Hfrqrplf Uhylhz/77/ 4;344;551 Gdulw|/ Z1 dqg D1 K1 Jrogvplwk +4<<6,1 Xqhpsor|phqw/ Vrfldo Sv|fkrorj|/ dqg Xqhpsor|phqw K|vwhuhvlv1 Mrxuqdo ri Srvw Nh|qhvldq Hfrqrplfv/49+4,/ 88:41 Gdulw|/ Z1 dqg D1 K1 Jrogvplwk +4<<9,1 Vrfldo Sv|fkrorj|/ Xqhpsor|phqw dqg

Pdfurhfrqrplfv1 Mrxuqdo ri Hfrqrplf Shuvshfwlyhv/ 43+4,/ 4544731

Gldprqg/ S1 +4<;5,1 Djjuhjdwh Ghpdqg lq Vhdufk Htxloleulxp1 Mrxuqdo ri Srolwlfdo Hfrqrp|/ <3/ ;;4;<71

Gud}hq/ D1 +4<;:,1 Uhflsrfdo H{whuqdolw| Prghov ri Orz Hpsor|phqw1 Hxurshdq Hfrqrplf Uhylhz/ 7697761

Hlvhqehuj/ S1 dqg S1 I1 Od}duvihog +4<6;,1 Wkh Sv|fkrorjlfdo Hhfwv ri Xqhpsor|0 phqw1 Sv|fkrorjlfdo Exoohwlq/ 68/ 68;6<31

Ihdwkhu/ Q1 W1 +4<<3,1Wkh Sv|fkrorjlfdo Lpsdfw ri Xqhpsor|phqw1 Vsulqjhu0Yhuodj/

Qhz \run1

Ihdwkhu/ Q1 W1 dqg S1 U1 Gdyhqsruw +4<;4,1 Xqhpsor|phqw dqg Ghsuhvvlyh Dhfw=

DPrwlydwlrqdo dqg Dwwulexwlrqdo Dqdo|vlv1 Mrxuqdo ri Shuvrqdolw| dqg Vrfldo Sv|fkrorj|/74/ 7557691

Jlq}ehuj/ H1 +4<75,1 Judvv rq wkh Vodj Khdsv1 Kdushu/ Qhz \run1

Jrogvplwk/ D1 K1/ M1 U1 Yhxp dqg Z1 Gdulw| +4<<9d,1 Wkh Lpsdfw ri Oderu Irufh Klvwru| rq Vhoi0Hvwhhp dqg lwv Frpsrqhqw Sduwv/ Dq{lhw|/ Dolhqdwlrq dqg Gh0 suhvvlrq1 Mrxuqdo ri Hfrqrplf Sv|fkrorj|/ 4:/ 4;655531

Jrogvplwk/ D1 K1/ M1 U1 Yhxp dqg Z1 Gdulw| +4<<9e,1 Wkh Sv|fkrorjlfdo Lpsdfw ri Xqhpsor|phqw dqg Mreohvvqhvv1 Mrxuqdo ri Vrflr0Hfrqrplfv/58/ 66668;1 Kloo/ M1 P1 P1 +4<::,1 Wkh Vrfldo dqg Sv|fkrorjlfdo Lpsdfw ri Xqhpsor|phqw= D

Slorw Vwxg|1 Wdylvwrfn/ Orqgrq1

Mdfnpdq/ U1/ F1 Slvvdulghv dqg V1 Vdyrxul +4<<3,1 Oderu Pdunhw Srolflhv dqg Xq0 hpsor|phqw lq wkh RHFG1 Orqgrq Vfkrro ri Hfrqrplfv Fhqwuh iru Hfrqrplf Shuirupdqfh Glvfxvvlrq Sdshu= 441

Mdkrgd/ P1/ S1 I1 Od}duvihog dqg K1 ]hlvho +4<66,1 Glh Duehlwvorvhq Yrq Pdulhqwkdo11 Ylhqqd1 +Pdulhqwkdo= Wkh Vrflrjudsk| ri dq Xqhpsor|hg Frppxqlw|1 Fklfdjr/

Doglqh/ 4<:41,1

Mlq/ Vkdk dqg Vyrergd +4<<8,1 Wkh Lpsdfw ri Xqhpsor|phqw rq Khdowk= DUhylhz ri wkh Hylghqfh1 Fdqdgldq Phglfdo Dvvrfldwlrq Mrxuqdo/486/ 85<8731

49

(17)

Mrkqvrq/ J1 dqg U1 Od|dug +4<;9,1 Wkh Qdwxudo Udwh ri Xqhpsor|phqw= H{sodqd0 wlrq dqg Srolf|1 Lq Kdqgerrn ri Oderu Hfrqrplfv1 Qruk Kroodqg/ Dpvwhugdp1 Nhvvohu/ U1 F1/ M1 E1 Wxuqhu dqg M1 V1 Krxvh +4<;;,1 Hhfwv ri Xqhpsor|phqw rq

Khdowk lq d Frppxqlw| Vxuyh|= Pdlq/ Prgli|lqj/ dqg Phgldwlqj Hhfwv1 Mrxuqdo ri Vrfldo Lvvxhv/ 77+7,/ 9<;81

Nhvvohu/ U1 F1/ M1 E1 Wxuqhu dqg M1 V1 Krxvh +4<;<,1 Xqhpsor|phqw/ Uhhpsor|phqw/

dqg Hprwlrqdo Ixqfwlrqlqj lq d Frppxqlw| Vdpsoh1 Dphulfdq Vrflrorjlfdo Uh0 ylhz/87/ 97;8:1

Od|dug/ U1 dqg F1 Ehdq +4<;<,1 Zk| grhv xqhpsor|phqw shuvlvwB Wkh Vfdqglqdyldq Mrxuqdo ri Hfrqrplfv/ <4/ 6:46<91

Od|dug/ U1/ V1 Qlfnhoo dqg U1 Mdfnpdq +4<<4,1 Xqhpsor|phqw1 R{irug Xqlyhuvlw|

Suhvv/ R{irug1

Olhp/ U1 dqg M1 K1 Olhp +4<;;,1 Sv|fkrorjlfdo Hhfwv ri Xqhpsor|phqw rq Zrunhu dqg wkhlu Idplolhv1 Mrxuqdo ri Vrfldo Lvvxhv/ 77+7,/ ;:4381

Oruhq}/ H1 Q1 +4<97,1 Ghwhuplqlvwlf Qrqshulrglf Iorz1 Mrxuqdo ri Dwprvskhulf Vflhqfhv/53/ 4634741

Pdoolqfnurgw/ E1 dqg E1 U1 Iuhw} +4<;;,1 Vrfldo Vxssruw dqg wkh Lpsdfw ri Mre Orvv rq Roghu Surihvvlrqdov1 Mrxuqdo ri Frxqvholqj Sv|fkrorj|/ 68+6,/ 5;45;91 Pdqqlqj/ D1 +4<<3,1 Lpshuihfw Frpshwlwlrq/ Pxowlsoh Htxloleuld dqg Xqhpsor|phqw

Srolf|1 Wkh Hfrqrplf Mrxuqdo/ 4844951

Pdqqlqj/ D1 +4<<5,1 Pxowlsoh Htxloleuld lq wkh Eulwlvk Oderxu Pdunhw1 Hxurshdq Hfrqrplf Uhylhz/69/ 466646981

Pruwhqvhq/ G1 W1 +4<;5,1 Surshuw| Uljkwv dqg H!flhqf| lq Pdwlqj/ Udflqj/ dqg Uhodwhg Jdphv1 Dphulfdq Hfrqrplf Uhylhz/:5/ <9;<:<1

Pruwhqvhq/ G1 W1 +4<;<,1 Wkh Shuvlvwhqfh dqg Lqghwhuplqdf| ri Xqhpsor|phqw lq Vhdufk Htxloleulxp1 Vfdqglqdyldq Mrxuqdo ri Hfrqrplfv/ 67:6:31

Pruwhqvhq/ G1 W1 +4<<<,1 Htxloleulxp Xqhpsor|phqw G|qdplfv1 Lqwhuqdwlrqdo Hfrqrplf Uhylhz/ ;;<<471

Pruwhqvhq/ G1 W1 dqg F1 D1 Slvvdulghv +4<<<,1 Qhz Ghyhorsphqwv lq Prghov ri Vhdufk lq wkh Oderxu Pdunhw1 Fhqwuh iru Hfrqrplf Srolf| Uhvhdufk Glvfxvvlrq Sdshu qr1 53861

RHFG +4<<7,1 Wkh RHFG Mrev Vwxg|/ Hylghqfh dqg H{sodqdwlrqv/ Sduw L 0 Oderxu Pdunhw Wuhqgv dqg Xqghuo|lqj Irufhv ri Fkdqjh1

Sdwwrq/ Z1 dqg S1 Qroohu +4<;7,1 Xqhpsor|phqw dqg \rxwk= DOrqjlwxglqdo Vwxg|1 Dxvwudoldq Mrxuqdo ri Sv|fkrorj|/ 69/ 6<<7461

Shwurqjror/ E1 +4<<<,1 Uh0Hpsor|phqw Suredelolwlhv dqg Uhwxuqv wr Pdwfklqj1 FHSU Glvfxvvlrq Sdshu Qr1 55991

4:

(18)

Slvvdulghv/ F1 D1 +4<:<,1 Mre Pdwfklqjv zlwk Vwdwh Hpsor|phqw Djhqflhv dqg Udqgrp Vhdufk1 Wkh Hfrqrplf Mrxuqdo/;</ ;4;;661

Slvvdulghv/ F1 D1 +4<<3,1 Htxloleulxp Xqhpsor|phqw Wkhru|1 Edvlo Eodfnzhoo Owg/

R{irug/ XN1

Sodww/ V1 +4<;7,1 Xqhpsor|phqw dqg Vxlflgdo Ehkdylru= DUhylhz ri wkh Olwhudwxuh1 Vrfldo Vflhqfh dqg Phglflqh/ 4</ <64481

Urwwhu/ M1 E1 +4<87,1 Vrfldo Ohduqlqj dqg Folqlfdo Sv|fkrorj|1 Suhqwlfh0Kdoo/ Hq0 johzrrg Folv/ Qhz Mhuvh|1

Vdlqw0Sdxo/ J1 +4<<8,1 Wkh Kljk Xqhpsor|phqw Wuds1 Txduwhuo| Mrxqdo ri Hfr0 qrplfv/ 85:8831

Vfkrnndhuw/ H1 dqg O1 YdqRrwhjhp +4<<3,1 Vhq*v Frqfhsw ri wkh Olylqj Vwdqgdug Dssolhg wr wkh Ehojldq Xqhpsor|hg1 Uhfkhufkhv Hfrqrpltxhv gh Orxydlq/891 Vholjpdq/ P1 H1 S1 +4<:8,1 Khosohvvqhvv= Rq Ghsuhvvlrq/ Ghyhorsphqw dqg Ghdwk1

Z1 K1 Iuhhpdq/ Vdq Iudqflvfr1

Vhq/ D1 +4<<:,1 Lqhtxdolw|/ Xqhpsor|phqw dqg Frqwhpsrudu| Hxursh1Lqwhuqdwlrqdo Oderxu Uhylhz/469+5,/ 4884:51

Vrorz/ U1 P1 +4<<8,1 Pdvv Xqhpsor|phqw dv d Vrfldo Sureohp1 Lq N1 Edvx/ S1 S1 dqg N1 Vx}xpxud +hgv1,/ Fkrlfh/ Zhoiduh/ dqg Ghyhorsphqw= D Ihvwvfkuliw lq Krqru ri Dpduw|d N1 Vhq/ 6466551 Foduhqgrq Suhvv/ R{irug1

Yurrp/ Y1 K1 +4<97,1 Zrun dqg Prwlydwlrq1 Zloh|/ Qhz \run1

Zhlw}pdq/ P1 O1 +4<;5,1 Lqfuhdvlqj Uhwxuqv dqg wkh Irxqgdwlrqv ri Xqhpsor|phqw Wkhru|1 Wkh Hfrqrplf Mrxuqdo/<5/ :;:;371

Zlqnhopdqq/ O1 dqg U1 Zlqnhopdqq +4<<;,1 Zk| duh wkh Xqhpsor|hg vr Xqkdss|B Hylghqfh iurp Sdqho Gdwd1 Hfrqrplfd/ 98/ 4481

Zruwpdq/ F1 dqg M1 Z1 Euhkp +4<:8,1 Uhvsrqvhv wr Xqfrqwurodeoh Rxwfrphv= Dq Lqwhjudwlrq ri Uhdfwdqfh Wkhru| dqg wkh Ohduqhg Khosohvvqhvv Prgho1 Dgydqfhv lq H{shulphqwdo Vrfldo Sv|fkrorj|/ ;1

4;

(19)

Dsshqgl{= D qxphulfdo h{dpsoh ri wkh prgho

Khuh L dvvljq qxphulfdo ydoxhv wr wkh sdudphwhuv dqg wkh h{rjhqrxv yduldeohv lq wkh prgho lqwurgxfhg lq vhfwlrq 51 Iru wklv sxusrvh L qhhg ixqfwlrqdo irupv iru wkh glvwulexwlrq ixqfwlrq/ 8/ dqg wkh prwlydwlrq frvwv ixqfwlrq/ K1 L xvh wkh iroorzlqj vshflfdwlrqv=

g E>c D2c K|

'|

0

c

zkhuh >/ D/ 0 : f1 Wkhvh ixqfwlrqdo irupv lpso| wkdw wkh g*v duh qrupdoo| glv0 wulexwhg dfurvv lqglylgxdov zlwk d phdq htxdo wr > dqg zlwk d vwdqgdug ghyldwlrq ri D/ dqg wkdw wkh hodvwlflw| ri prwlydwlrq frvwv zlwk uhvshfw wr wkh xqhpsor|phqw ydfdqf| udwlr lv htxdo wr 0 Wkh prgho frqvlvwv ri wkh iroorzlqj sdudphwhuv dqg h{rjhqrxv yduldeohv=

j ' vhsdudwlrq udwh ' ydfdqf| udwh w ' frpshqvdwlrq udwh o ' glvfrxqw idfwru

k ' hodvwlflw| ri pdwfklqj zlwk uhvshfw wr djjuhjdwh uhfuxlwlqj lqwhqvlw|

0 ' hodvwlflw| ri prwlydwlrq frvwv zlwk uhvshfw wr wkh xqhpsor|phqw ydfdqf| udwlr ' hpsor|phqw djhqf| pdwfklqj surgxfwlylw|

' sulydwh pdwfklqj surgxfwlylw| sdudphwhu

q ' sdudphwhu ghwhuphqlqj wkh hhfw ri xqhpsor|phqw gxudwlrq rq prwlydwlrq frvwv

> ' phdq ydoxh rig

D ' vwdqgdug ghyldwlrq ri g

Wkh sdudphwhu ydoxhv duh fkrvhq wr eh frqvlvwhqw zlwk wkh uhvwulfwlrqv lpsrvhg e|

wkhru| dqg rq hpslulfdo revhuydwlrqv zkhuh srvvleoh1 Zkhuh wklv lv qrw srvvleoh/

sdudphwhu ydoxhv duh uhvwulfwhg vxfk wkdw pxowlsoh htxloleuld duh dvvxuhg1 Wkh re0 mhfwlyh lv qrw wr vkrz wkdw wkhuh duh pxowlsoh htxloleuld/ exw phuho| wr srlqw rxw wkdw iru uhdvrqdeoh sdudphwhu ydoxhv dqg ixqfwlrqdo irupv wkhuh pd| eh pxowlsoh htxloleuld1

L iroorz Eodqfkdug dqg Gldprqg +4<;<, zkr hvwlpdwh wkh djjuhjdwh uhfuxlwlqj lqwhqvlw| wr eh k ' fS iru wkh XV/ rwkhu vwxglhv vkrz vlplodu ydoxhv iru Hxurshdq frxqwulhv dv zhoo1 Dqgroidwwr +4<<9, fdofxodwh wkh XV ydfdqf| udwh wr eh ffbD edvhg rq d vwhdg| vwdwh dvvxpswlrq dqg rq d txduwhuo| vhsdudwlrq udwh ri fD1 D v wkh Hxurshdq oderxu pdunhw vhhpv wr eh pruh uljlg/ L xvh d ydfdqf| udwh htxdo wr ' ffD dqg d prqwko| vhsdudwlrq udwh htxdo wr j ' ff2 Ixuwkhupruh/ L dvvxph wkdw wkh frpshqvdwlrq udwh lv htxdo wr w ' fS/ wkdw hpsor|phqw djhqf| pdwfklqj surgxfwlylw| lv htxdo wr ' f2S/ dqg wkdw wkh sulydwh surgxfwlylw| sdudphwhu lv htxdo wr ' f2.1 Duhdo lqwhuhvw udwh ri o ' fff shu txduwhu lv uhdvrqdeoh1 Lq dgglwlrq/ L kdyh dvvljq wkh ydoxh D ' fD zklfk lpsolhv wkdw g kdv d vwdqgdug

4<

(20)

ghyldwlrq ri fD1 q lv vhw htxdo wr ffe1 Wkh phdq ydoxh ri g lv dvvxphg wr eh htxdo wr > ' f1 Dq hodvwlflw| ri prwlydwlrq frvwv zlwk uhvshfw wr wkh 0udwlr ri 0'  lpsolhv wkdw prwlydwlrq frvwv uhodwlyh wr wkh zdjh ohyho iru wkh lqglylgxdo zlwk d phdq ydoxh rig zkr kdv ehhq xqhpsor|hg iruH prqwkv duh fdqg2lq orzhu dqg xsshu htxloleulxp uhvshfwlyho|1

53

(21)

21

Recent publications in the series Discussion Papers

213 M. Søberg (1998): “EPA’s New Emissions Trading Mechanism: A Laboratory Evaluation” – A Comment 214 K. Nyborg (1998): Non-Verifiable Emissions, Voluntary

Agreements, and Emission Taxes

215 H. C. Bjørnland (1998): Economic Fluctuations in a Small Open Economy - Real versus Nominal Stocks 216 L.C. Zhang (1998): Post-Stratification and Calibration –

A Synthesis

217 R. Aaberge and Y. Zhu: The Pattern of Household Savings during a Hyperinflation. The Case of Urban China in the Late 1980s

218 L.C. Zhang (1998): A Note on Post-stratification when Analyzing Binary Survey Data Subject to Non-response 219 T.J. Klette and J. Møen (1998): From Growth Theory to Technology Policy – Coordination Problems in Theory and Practice

220 L.C. Zhang (1998): Synthetic Graphical Modelling of Binary Panel Data Subject to Non-response. A Case Study

221 J.K. Dagsvik (1998): Choice among Lotteries when Preferences are Stochastic

222 J.K. Dagsvik (1998): Nonparametric Identification of Discrete Choice Models

223 L. Brubakk and J.K. Dagsvik (1998): Consumer Demand and Unobservable Product Attributes 224 E. Holmøy (1998): Potential Aggregate Gains from

Improved Sectoral Efficiency: General Equilibrium Estimates for Norway

225 B.H. Vatne and J.K. Dagsvik (1998): Estimation of Generalized Extreme Value Models by a Max-spectral Representation

226 I. Svendsen (1998): Rational Expectations in Price Setting – Tests Based on Norwegian Export Prices 227 K.A. Brekke and R.B. Howarth (1998): The Social

Contingency of Wants: Implications for Growth and the Environment

228 K.A. Brekke and E. Moxnes (1998): Do Models Improve Fishery Management? Empirical Evidence from a Experimental Study

229 J.K. Dagsvik, Yu Zhu and R. Aaberge (1998): A Framework for Empirical Modelling of Consumer Demand with Latent Quality Attributes

230 R. Aaberge, U. Colombino and S. Strøm (1998): Social Evaluation of Individual Welfare Effects from Income Taxation: Empirical Evidence Based on Italian Data for Married Couples

231 R. Nesbakken (1998): Residential Energy Consumption for Space Heating in Norwegian Households. A Discrete-Continuous Choice Approach

232 R. Nesbakken (1998): Price Sensitivity of Residential Energy Consumption in Norway

233 M. Søberg (1998): Uncertainty and International Negotiations on Tradable Quota Treaties 234 J.K. Dagsvik and L. Brubakk: Price Indexes for

Elementary Aggregates Derived from Behavioral Assumptions

235 E. Biørn, K.-G. Lindquist and T. Skjerpen (1998):

Random Coefficients and Unbalanced Panels: An Application on Data from Norwegian Chemical Plants

236 K. Ibenholt (1998): Material Accounting in a

Macroeconomic Framework. Forecast of waste generated in manufacturing industries in Norway

237 K-G. Lindquist (1998): The Response by the Norwegian Aluminium Industry to Changing Market Structure 238 J.K. Dagsvik, A.S. Flaatten and H. Brunborg: A

Behavioral Two-Sex Model

239 K.A. Brekke, R.B. Howarth and K. Nyborg (1998): Are there Social Limits to Growth?

240 R. B. Howarth and K. A. Brekke (1998): Status Preferences and Economic Growth

241 H. Medin, K. Nyborg and I. Bateman (1998): The Assumption of Equal Marginal Utility of Income: How Much Does it Matter?

242 B. Bye (1998): Labour Market Rigidities and Environmental Tax Reforms: Welfare Effects of Different Regimes

243 B.E. Naug (1999): Modelling the Demand for Imports and Domestic Output

244 J. Sexton and A. R. Swensen (1999): ECM-algorithms that converge at the rate of EM

245 E. Berg, S. Kverndokk and K.E. Rosendahl (1999):

Optimal Oil Exploration under Climate Treaties 246 J.K. Dagsvik and B.H. Vatne (1999): Is the Distribution

of Income Compatible with a Stable Distribution?

247 R. Johansen and J.K. Dagsvik (1999): The Dynamics of a Behavioral Two-Sex Demographic Model

248 M. Søberg (1999): Asymmetric information and international tradable quota treaties. An experimental evaluation

249 S. Grepperud, H. Wiig and F.A. Aune (1999): Maize Trade Liberalization vs. Fertilizer Subsidies in Tanzania:

A CGE Model Analysis with Endogenous Soil Fertility 250 K.A. Brekke and Nils Chr. Stenseth (1999): A Bio-

Economic Approach to the study of Pastoralism, Famine and Cycles. Changes in ecological dynamics resulting from changes in socio-political factors

251 T. Fæhn and E. Holmøy (1999): Welfare Effects of Trade Liberalisation in Distorted Economies. A Dynamic General Equilibrium Assessment for Norway 252 R. Aaberge (1999): Sampling Errors and Cross-Country

Comparisons of Income Inequality

253 I. Svendsen (1999): Female labour participation rates in Norway – trends and cycles

254 A. Langørgen and R. Aaberge: A Structural Approach for Measuring Fiscal Disparities

255 B. Halvorsen and B.M. Larsen (1999): Changes in the Pattern of Household Electricity Demand over Time 256 P. Boug (1999): The Demand for Labour and the Lucas

Critique. Evidence from Norwegian Manufacturing 257 M. Rege (1999): Social Norms and Private Provision of

Public Goods: Endogenous Peer Groups

258 L. Lindholt (1999): Beyond Kyoto: CO2permit prices and the markets for fossil fuels

259 R. Bjørnstad and R. Nymoen (1999): Wage and Profitability: Norwegian Manufacturing 1967-1998

(22)

22 260 T.O. Thoresen and K.O. Aarbu (1999): Income

Responses to Tax Changes – Evidence from the Norwegian Tax Reform

261 B. Bye and K. Nyborg (1999): The Welfare Effects of Carbon Policies: Grandfathered Quotas versus Differentiated Taxes

262 T. Kornstad and T.O. Thoresen (1999): Means-testing the Child Benefit

263 M. Rønsen and M. Sundström (1999): Public Policies and the Employment Dynamics among new Mothers – A Comparison of Finland, Norway and Sweden

264 J.K. Dagsvik (2000): Multinomial Choice and Selectivity

265 Y. Li (2000): Modeling the Choice of Working when the Set of Job Opportunities is Latent

266 E. Holmøy and T. Hægeland (2000): Aggregate Productivity and Heterogeneous Firms

267 S. Kverndokk, L. Lindholt and K.E. Rosendahl (2000):

Stabilisation of CO2concentrations: Mitigation scenarios using the Petro model

268 E. Biørn, K-G. Lindquist and T. Skjerpen (2000): Micro Data On Capital Inputs: Attempts to Reconcile Stock and Flow Information

269 I. Aslaksen and C. Koren (2000): Child Care in the Welfare State. A critique of the Rosen model 270 R. Bjørnstad (2000): The Effect of Skill Mismatch on

Wages in a small open Economy with Centralized Wage Setting: The Norwegian Case

271 R. Aaberge (2000): Ranking Intersecting Lorenz Curves 272 J.E. Roemer, R. Aaberge , U. Colombino, J, Fritzell, S.P.

Jenkins, I. Marx, M. Page, E. Pommer, J. Ruiz-Castillo, M. Jesus SanSegundo, T. Tranaes, G.G.Wagner and I.

Zubiri (2000): To what Extent do Fiscal Regimes Equalize Opportunities for Income Acquisition Among citizens?

273 I. Thomsen and L.-C. Zhang (2000): The Effect of Using Administrative Registers in Economic Short Term Statistics: The Norwegian Labour Force Survey as a Case Study

274 I. Thomsen, L.-C. Zhang and J. Sexton (2000): Markov Chain Generated Profile Likelihood Inference under Generalized Proportional to Size Non-ignorable Non- response

275 A. Bruvoll and H. Medin (2000): Factoring the environmental Kuznets curve. Evidence from Norway 276 I. Aslaksen, T. Wennemo and R. Aaberge (2000): "Birds

of a feather flock together". The Impact of Choice of Spouse on Family Labor Income Inequality

277 I. Aslaksen and K.A. Brekke (2000): Valuation of Social Capital and Environmental Externalities

278 H. Dale-Olsen and D. Rønningen (2000): The Importance of Definitions of Data and Observation Frequencies for Job and Worker Flows - Norwegian Experiences 1996-1997

279 K. Nyborg and M. Rege (2000): The Evolution of Considerate Smoking Behavior

280 M. Søberg (2000): Imperfect competition, sequential auctions, and emissions trading: An experimental evaluation

281 L. Lindholt (2000): On Natural Resource Rent and the Wealth of a Nation. A Study Based on National Accounts in Norway 1930-95

282 M. Rege (2000): Networking Strategy: Cooperate Today in Order to Meet a Cooperator Tomorrow

283 P. Boug, Å. Cappelen and A.R. Swensen (2000):

Expectations in Export Price Formation: Tests using Cointegrated VAR Models

284 E. Fjærli and R. Aaberge (2000): Tax Reforms, Dividend Policy and Trends in Income Inequality: Empirical Evidence based on Norwegian Data

285 L.-C. Zhang (2000): On dispersion preserving estimation of the mean of a binary variable from small areas 286 F.R. Aune, T. Bye and T.A. Johnsen (2000): Gas power

generation in Norway: Good or bad for the climate?

Revised version

287 A. Benedictow (2000): An Econometric Analysis of Exports of Metals: Product Differentiation and Limited Output Capacity

288 A. Langørgen (2000): Revealed Standards for Distributing Public Home-Care on Clients

289 T. Skjerpen and A.R. Swensen (2000): Testing for long- run homogeneity in the Linear Almost Ideal Demand System. An application on Norwegian quarterly data for non-durables

290 K.A. Brekke, S. Kverndokk and K. Nyborg (2000): An Economic Model of Moral Motivation

291 A. Raknerud and R. Golombek: Exit Dynamics with Rational Expectations

292 E. Biørn, K-G. Lindquist and T. Skjerpen (2000):

Heterogeneity in Returns to Scale: A Random Coefficient Analysis with Unbalanced Panel Data 293 K-G. Lindquist and T. Skjerpen (2000): Explaining the

change in skill structure of labour demand in Norwegian manufacturing

294 K. R. Wangen and E. Biørn (2001): Individual Hetero- geneity and Price Responses in Tobacco Consumption:

A Two-Commodity Analysis of Unbalanced Panel Data 295 A. Raknerud (2001): A State Space Approach for

Estimating VAR Models for Panel Data with Latent Dynamic Components

296 J.T. Lind (2001): Tout est au mieux dans ce meilleur des ménages possibles. The Pangloss critique of equivalence scales

297 J.F. Bjørnstad and D.E. Sommervoll (2001): Modeling Binary Panel Data with Nonresponse

298 Taran Fæhn and Erling Holmøy (2001): Trade Liberalisation and Effects on Pollutive Emissions and Waste. A General Equilibrium Assessment for Norway 299 J.K. Dagsvik (2001): Compensated Variation in Random

Utility Models

300 K. Nyborg and M. Rege (2001): Does Public Policy Crowd Out Private Contributions to Public Goods?

301 T. Hægeland (2001): Experience and Schooling:

Substitutes or Complements

302 T. Hægeland (2001): Changing Returns to Education Across Cohorts. Selection, School System or Skills Obsolescence?

303 R. Bjørnstad: (2001): Learned Helplessness, Discouraged Workers, and Multiple Unemployment Equilibria in a Search Model

Referanser

RELATERTE DOKUMENTER

7KH SURFHVV RI REWDLQLQJ D UHSUHVHQWDWLYH SURSHUW\ YDOXH IURP D VSDWLDOO\ KHWHURJH QHRXV PDWHULDO LV FDOOHG XSVFDOLQJ RU KRPRJHQL]DWLRQ ,Q WKLV FKDSWHU ZH ILUVW GLVFXVV KRZ

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

wklv sdshu h{soruhv wkh srvvlelolw| ri d qrq0olqhdu uhodwlrq ehwzhhq rlo sulfhv dqg wkh h{fkdqjh udwh1 Dq h{dplqdwlrq ri gdlo| revhuydwlrqv uhyhdov d qhjdwlyh uhodwlrq ehwzhhq wkh

Iru wkh udqgrp frpsrqhqwv od|rxw sursrvhg lq wklv sdshu/wkh vlwxdwlrq lv pruh frpsolfdwhg wkdq iru wkh zrunkruvh sdqho YDU prgho zlwk {hg wlph hhfwv dqg udqgrp lqglylgxdo

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

Wkh sxusrvh ri wkh suhvhqw sdshu kdv ehhq wr dsso| vwrfkdvwlf g|qdplf surjudpplqj lq rughu wr ghyhors dq hfrqrphwulf prgho iru up h{lw1 Dffruglqj wr vwrfkdvwlf g|qdplf surjudpplqj/

Wklv sdshu glvfxvvhv wkh srwhqwldo ri wkh vr0fdoohg fodvv ri Sduhwr0Ohy| glvwulexwlrqv dv d iudph0 zrun iru dqdo|}lqj lqfrph glvwulexwlrqv1 Lq wkh vl{wlhv dqg vhyhqwlhv Pdqghoeurw

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