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Itiscrucialtonotethattheimportdemandandexportsupplycurvesarenotthemselves
typicaldemandandsupplycurves.Eachofthemalreadyhaswithinitawholestructureof
productionanddemand.
RealIncomes,Production,ElasticitiesandtheTradePattern(appendix)
[ThefollowingisbasedontheappendicesofCavesandJones.]
Wewouldliketobeginbysettingoutthesourcesofwelfarecharges.Afirstexaminationshows
thatthesecancomeaboutdueto(1)changesinthetermsoftrade,or(2)endowmentchanges.
Therelevantexpression,whereRYreferstorealincomeinunitsoftheYgood:
Thisformidable-lookingexpressionactuallyhassomeintuitivecontent.Wehavechosento
measurewelfareintermsofyourrealconsumptionmeasuredinunitsoftheimportableYgood.
Notsurprisinglythen,thechangeinwelfareisgivenbythechangeinconsumptionthatis
attained--viz.PdDX+dDY(notethatthepriceconvertsunitsofXinto“real”terms,i.e.unitsof
Y).Thefinalexpressionofthishastwoterms.Thefirstisa“termsoftrade”effect.Notingthat
whenpˆ−1>0thenthepriceoftheimportablehasrisenrelatively,orequivalentlythetermsof
tradehaveworsened,wearenotsurprisedtofindthatthislowerswelfare.Thesecondtermis
lookingattheeffectsofsmallshiftsinourproductionbundle.Assumingthatwemaintainfull
employment,soremainonthePPF,thefirstordereffectofthesechangesiszero.Thereasonis
thatwewerealreadyatanoptimum,soalongthePPFMRT=dY/dX=-P.Butsimply
multiplyingandrearrangingthenshowsPdX+dY=0.[Themoreadvancedstudentmay
recognizethisasanexampleoftheWong/Vinerenvelopetheorem.]Whenthetermsoftradechange,whathappenstothedomesticdemandforimports?Thisisa
complicatedquestion.Wehavetoconsidersubstitutioneffectsandincomeeffectsindemand,as
wellasanyinducedeffectsonsupply.Theexpressionwhichwewillderivereflectsallofthese:
Ourdecisionsaboutimportsandexportsareintimatelylinkedbytherequirementof
balancedtrade.Whatdoesthissuggestabouttherelationoftheelasticitiesofimportdemandand
exportsupply?Firstletusrecallthedefinitionsofeachoftheseterms:
ElasticityofimportdemandWewouldliketohaveanideahowthetermsoftradeadjusttoexogenouschanges
(anythingbutprices)inimportdemandsinthetwocountries.Theresultthatwewillderiveis
thatthetermsoftradewillturnagainstwhicheverhasthelargerproportionalgrowthinimport
demandatunchangedprices:
III.TheRicardianModel
Inthelastchapterweestablishedanimportantprinciple:Ifautarkyrelativepricesdiffer,
itispossibleforcountriestotradeatanintermediatepriceratiosuchthatbothmaygain.Our
developmentoftheworldequilibriumwasinverygeneraltermsbasedondemandandsupplyin
eachcountry.Howeveritwasleftunexplainedwhyautarkypricesshoulddiffer.Thepresent
chapterdevelopstheRicardianmodeloftrade,andusestheconceptofcomparativeadvantage
asthebasisoftrade.WewillseethatintheRicardianmodel,thiscomparativeadvantagederives
fromunderlyingdifferencesinthetechnologyavailabletoeachcountry.
DerivationoftheRicardianPPF
Onefactor(labor)infixedsupply
TwoGoods:XandY
Thetechnologyisfullydescribedbytheconstantunitlaborinputs:aLXandaLY
Factormarketclearingrequires:
MRT=aLX/aLYdefinesthemarginalrateoftransformation,whichtellshowmuchYmustbe
reducedtoproduceonemoreunitofX(notethatitisconstanthere).[seeFigure1]
AutarkyEquilibriuminaRicardianWorld
Wewillassumehomogeneoushomotheticpreferencessothatwecanusetheconstructofa
singlerepresentativeconsumer.
Assumingthatbothgoodsareproduced,theoptimalityconditionsinacompetitiveeconomy
insurethat:AbilitytoTransform
MRS=[∂U/∂X]/[∂U/∂Y]
WillingnesstoSubstitute
Homogeneouspreferencesmeanseverybodyinthesocietyhasthesamepreferences.
HomotheticpreferencesmeanthatforagivenrelativepriceP,theproportioninwhichthegoods
areconsumedisindependentofthelevelofincome.[Theseallowustoputasideforthemoment
problemsofincomedistribution.]
RicardianSupplyandDemand
Thepricesofthegoodsproduceddependonlaborcosts.Ifanypricewasstrictlyaboveitslabor
costs,thenassumingagivenwageandfixedinputcoefficients,wecouldhaveinfiniteprofitsby
expandingproductionofthatgoodtoaninfinitelevel.Thustheassumptionofcompetitionand
finiteproductionlevelsinsuresthatthepricemustbelessthanorequaltothelaborcosts;thatis:
PX≤waLX
andPY≤waLY
(equalityifactuallyproduced)
Ifbothgoodsareproduced,itfollowsthat:
P=PX/PY=(waLX)/(waLY)=aLX/aLY=MRT
SowecandrawtheRicardianSupplyCurvesforXandY.Notethat,theautarkypricehasbeen
determinedevenbeforeconsideringdemand.Thedivisionofoutputbetweenthetwogoods,then
willcorrespondtothatdemandedatthesupply-determinedprice.ComparativeAdvantage
Whydocountriestrade?Whatdetermineswhichcountriesproducewhichgoods?Afirst
ideamightoccur:sincelaboristheonlyinput,homeshouldproducethosegoodswhichitcan
producewithlesslaborthantheforeigncountry.Itshouldimporttheothergoods.Thisistheso-
calledPrincipleofAbsoluteAdvantage.Bythisprinciple,ifaLX<aLX*thenweshouldexport
goodX.Butisthisanadequatecharacterizationofthedeterminantsoftrade?Whatshould
happenifthehomecountryhasanabsoluteadvantageinproducingeverygood?Inthiscase,
aLi<aLi*forallgoodsi.Shouldtheytradeatall?
Toanswerthis,wemustturntothePrincipleofComparativeAdvantage.Thisis
arguablythemostimportantresultininternationaltradetheory,andsomustbestudiedclosely.
RecallthatwehavealreadydefinedthemarginalrateoftransformationasMRTaLX/aLY.
WewillsaythathomehasacomparativeadvantageintheproductionofgoodXjust
when:Notethatintheautarkyequilibrium,wehadtheconditionthatP=MRT,soalsointheforeign
countrywehadP*=MRT*.Thus,recallingthatP=PX/PY,wehaveacomparativeadvantagein
goodXwhenP<P*,thatiswhenwehavealowerautarkyrelativepriceofgoodX.
Thismayseemabithardtofollow.Butthebasicideaissimple.Wearetherelatively
efficientproducerofX.Whenourautarkypriceislower,thismeansthatwehavetogiveupless
YtogetonemoreunitofXthanistrueintheforeigncountry.Conversely,iftheforeigncountry
weretoproduceoneunitlessofX,theycouldusetheextralabortoproducemoreYthanwe
gaveup.Intuitively,thisextraamountofYcouldbedividedupandbothwouldbebetteroff.
ComparativeAdvantage:AnExample
Herehomehasanabsoluteadvantageineachgood(check!).Howeveritscomparativeadvantage
liesingoodX,since:Thusfromanautarkyposition,ifhomeproducedonelessY,itcouldproducetwomore
X.IfforeignproducedonelessXitcouldproduce3/2moreY.Thenetgaintotheworldof
shiftingthesiteofproductionisoneXandone-halfY.Bothcouldbemadebetteroff.
Note,then,absoluteadvantageisnotanadequatedeterminantofthepatternoftrade.
AlthoughhomehasanabsoluteadvantageintheproductionofgoodY(aswellasgoodX),it
doesnotexportY.ThereasonisthatinspiteoftheabsoluteadvantageinY,ithasacomparative
disadvantageinY.
DerivationoftheRicardianWorldProductionPossibilitiesFrontier
TheworldPPFshowsthemaximumfeasiblecombinationsofXandY,giventhe
availabletechnologyandlaborsupplies.AcombinationofXandYissaidtobethemaximum
feasibleifitisnotpossibletoproducemoreofonewithoutproducinglessoftheother.Theseare
alsocalledpointsofproductionefficiency.
IfeachcountryisonitsPPF,doesitfollowthattheworldisontheworldPPF?No!It
maybethatthedistributionofproductionacrosscountriesisaccomplishedinefficiently.Insuch
acase,byshiftingthesiteofproductionofeachgoodtothecountrywithcomparativeadvantage
ofthatgood,wecanincreasetheavailabilityofsomegoodswithoutreducingtheavailabilityof
others.Thatis,wecanmovetowardsapointofworldproductionefficiency.
WewouldliketoderivetheworldPPF.Twopointsareeasilyderivable,namelythose
whenbothcountriesproduceonlyX,oronlyY.Inthiscase:
Toproceed,wemustknowthepatternofcomparativeadvantage.Suppose,asbefore,thathome
hasacomparativeadvantageingoodX.ThenMRT<MRT*.ThusifanyXatallshouldbe
produced,itshouldbeproducedinthehomecountry.Thus,startingfromapositionwhereonly
Yisproduced,havethehomecountryproduceoneunitofX;theamountofYwehavetogive
upisexactlyMRT(recallthatishowwedefinedit!).Itisobviousthatwewouldhavethehome
startproducingXfirst,sincethefactthatithasalowerMRTmeansthatwehavetogiveupless
YforthatfirstunitofX.Note,though,thatsincethelaborinputrequirementsareconstantfor
eachcountry,thesamemustbetrueoftheirratio,theMRT.Thatis,foreachextraXwe
produce,wehavetogiveupMRTunitsofY.Thiscontinuestobetrueupuntilthepointthat
homeiscompletelyspecializedinX.IfwewanttheworldtoproduceyetmoreX,thenthe
foreigncountrywillhavetostartproducingit.But,nowthattheforeigncountrystartstoproduce
it,wehavetogiveupmoreYtogetaunitofX,sinceMRT*>MRT.
NotethatifactualproductionistotheleftofthekinkintheworldPPF,thentheprice
undertradeisequaltothehomeautarkyprice:PT=PA=MRT.Ifweactuallyproducetothe
rightofthekink,thenPT=PA*=MRT*.Ifweactuallyproduceatthekink,thenallthatwecan
sayisthatthetradepriceisintherange:PT∈[PA,PA*].TodeterminetheactualpointontheworldPPFwherewewillproduce,wehavetolook
atworlddemandandsupply.Asbefore,assumeMRT<MRT*,andthepricesarePPX/PY.
Notethattheworldsupplycurveisinthenatureofastepfunction.Thiscorrespondstothe
conditionthatacountrywillproducebothgoodsonlyifP=MRTinthatcountry.Thusthe
horizontalsectionsoccuratthelevelsatwhichP=MRTintherespectivecountries.Wecanthen
definethreeregionsinwhichbothgoodsaresupplied.Atapriceequaltothehomeautarky
price,PT=MRTonlyhomewillproduceX(althoughitmayproducesomeYaswell);foreign
willspecializeinY.AtapricesuchthatMRT<PT<MRT*,bothcountriesspecialize--homein
goodXandforeigningoodY.AtatradepricesuchthatPT=MRT*thehomecountrywill
specializeingoodXandtheforeignwillbewillingtoproduceanyfeasiblecombinationofgood
XandY.Ofcourse,giventhesupplyconditions,thepricesandquantitiesdependonthedemand
conditions.However,notethatsmallshiftsindemandaffectproductionlevelsonlywhenoneof
thecountriesisproducingbothgoods.Further,inthiscase,thepriceiswhollyunaffected.Onthe
otherhand,ifbothcountriesarecompletelyspecialized,thensmallshiftsindemandleadtono
changeinproductionlevels,onlyachangeinthepricelevel!RicardianGainsFromTrade
Solongasthetradepricesdifferfromautarkyprices,therearegainstotrade.Ingeneral,
thegainswillbelargerthelargerthedivergence.
RelativeWagesinaRicardianWorld
TheRicardianmodelcanbeusedtotakeafistlookatwhatmightgiverisetothe
observeddistributionofwagesintheworld.
Ifbothcountriesspecialize,whichoccurswhenMRT<PT<MRT*,itmustbetruethat
PX=waLXandPY=w*aLY*.
Thisimpliesthatw/w*=[PX(1/aLX)]/[PY(1/aLY*)].Notethat1/aLXisthemarginal
productoflabor,soPX(1/aLX)givesthevalueofthemarginalproductforgoodX.Thustheratio
ofwagesbetweenthetwocountriesequalstheratioofthevalueoftherespectivemarginal
products.NotethatashiftofdemandthatraisedP=PX/PYyetstillleftproductioncompletely
specializedwouldraisehomerelativewages.
Wecansayabitmoreaboutrelativewagesinthisfirstcase.Solongasthetradeprices
are(weakly)betweentheautarkyprices,wecangiveaboundforrelativewages(alsoknownas
thefactoraltermsoftrade):Ifhomespecialized,butforeigndidnot,thenitmustbethecasethat:
PX=waLX=w*aLX*andsow/w*=aLX*/aLX.
Thatis,hererelativewagesarefixedwhollybythetechnicaldifferencesinthegoodproducedin
common.Thisistruesolongasonedoesnotspecialize.
SmallRicardianEconomyCapableofProducingNGoods
Bydefinition,asmallRicardianeconomyfacesfixedpricesforitsoutput.Evenifitis
capableofproducingNgoods,itwillspecializeinone(orseveralintheknife-edgecaseofatie)
forwhichthereisthelargestvalueofthemarginalproduct:Pi(1/aLi)=VMPi(recall1/aLiisthe
marginalproductinthei'thgood.TherewillbeatieifandonlyifPi/Pj=aLi/aLj.
NoticethatthissuggeststhatifweactuallylivedinaRicardianworldtherewouldlikely
beaveryhighdegreeofspecialization.AsalwaysinaRicardianmodel,wehavethetechnical
coefficients(herethelaborinputrequirements)independentofthelevelofoutput.Laboris
assumedtobehomogeneousandperfectlymobiledomestically.
TechnicalProgressinaRicardianModel&DistributionoftheGains
Bydefinition,asmallRicardianeconomyfacesfixedpricesforitsoutput.Evenifitis
capableofproducingNgoods,itwillspecializeinone(orseveralintheknife-edgecaseofatie)
forwhichthereisthelargestvalueofthemarginalproduct:Pi(1/aLi)=VMPi(recall1/aLiisthe
marginalproductinthei'thgood.TherewillbeatieifandonlyifPi/Pj=aLi/aLj.
NoticethatthissuggeststhatifweactuallylivedinaRicardianworldtherewouldlikely
beaveryhighdegreeofspecialization.AsalwaysinaRicardianmodel,wehavethetechnical
coefficients(herethelaborinputrequirements)independentofthelevelofoutput.Laboris
assumedtobehomogeneousandperfectlymobiledomestically.
TechnicalProgressinaRicardianModel&DistributionoftheGains
Letfivegoodsbeproduced:goodsonetothreeathomeandfourandfiveabroad.Supposethere
istechnicalprogressingoodone(i.e.aL1falls).Supposefurtherthatwisfixed(sopricesof
goodstwoandthreearefixed).Whatwillhappentothewelfareofthetwocountries?
1.IfP4andP5remainunchanged,bothbenefitaswageratesarethesameandP1has
fallen.
2.IfP4andP5rise,saybecausedemandforgoodoneisinelastic,theforeigncountrywill
definitelygain,butitispossibleherethatthehomecountrywilllose.[Jones80-81saysthat
thereisnecessarilyalosstohomeifconsumptionisinfixedproportions].
3.IfP4andP5fall,thenhomemustgain,butforeigncouldgainorlose.Thismightbethe
case,say,ifgoodoneisasubstituteforgoodsfourandfive.
NontradedGoodsintheRicardianSmallOpenEconomy
Nontradedgoodsarethoseforwhichtransportcostsmaketradeinsuchgoods
prohibitivelycostly(e.g.land,haircuts,etc.].Asbefore,thesmallopeneconomywillproduce
onlythattradedgoodforwhichPi/aLiisamaximum.Itwillimportallothertradablegoodsthatit
consumes.Butweknowthatthisgivesthewageratew=Pi/aLi.Thusgiventhetechnologyofthe
nontradedgood,andspecificallyitsunitlaborrequirement,wemusthavePNT=waLNTasits
price.Notethatourassumptionsonhowspecializationintradedgoodsoccursimpliesthat
relativelysmallchangesinrelativetradedpricescanleadtoacompletechangeintraded
specialization.ThisisnotsurprisinggiventherigidRicardiantechnicalconditionsthatwehave
specified.Whatisnoteworthyisthatthesmallshiftinpriceswillchangethewage,andsothe
priceofthenontradedgood,butitwillnotleadtothesameviolentchangeinproduction.The
nontradedsectorisabletoadjustpricesandproductionlevelswithrelativelyminorfluctuations.
Thenontradedsectorcanpassontheincreasedlaborcosts,whiletheoriginaltradedsector
cannot.Notethatwecouldhavedoneanessentiallyidenticalcomparativestaticiftherewas
technicalchangeinthetradedgoods.Whatdoesthissuggestaboutthepossibleadvantagesand
disadvantagesofanopeneconomy?[DuetoCaves/Jones].IntraindustryTradeintheRicardianEconomy
Inrecentyears,anumberofinternationaleconomistshavemademuchofthefactthat
muchofworldtradeis“intraindustry”trade--thatis,tradeisingoodsofsimilarfactorintensity.
Aswewillseelater,theyhavearguedthatwecanaccountforsuchatradeonlyifweturnto
increasingreturnstoscaleandimperfectcompetition.However,theyignoredtheverysimplest
model--thatofRicardo.Sincethereisonlyonefactor,goodsnecessarilyhaveidenticalfactor
“intensity.”Thatis,thesimpleRicardianmodelistheparadigmaticmodelofcompetitive
intraindustrytrade.Aswewillseelater,thiscanbegeneralizedtoaworldwithmoregoodsand
factors.Theimportantpointisthatwhentherearegoodsthatareexcellentsubstitutesin
production,thentechnicaldifferencesmatter.Iftheseleadtostrongspecialization,thensimilar
countriesmayengageinintraindustrytrade.
RicardianWorldwithInternationalLaborMobility
ItisleftambiguouswhethertheRicardiantechnologicaldifferencesaredueto
differencesintheworkersthemselvesorothertechnicalconditions.Assumingthelatter,perfect
labormobilitywillinsurethatunderconditionsofcompetition,thesiteofproductionwillbe
determinedbyabsoluteadvantage.Ifonecountryhasanabsoluteadvantageinbothgoods,the
othercountryceasestoexist.AssumeaLX<aLX*butaLY>aLY*.ThenallXisproducedathome
andallYisproducedabroad.ThenewworldPPFliesoutsidetheoldworldPPF,touchingit
onlyatthepointofinitialcompletespecialization.Theslopeis-aLX/aLY*.
RicardianProblem
T,F,oruncertain?Byopeningtotrade,weriskhavingone(ormore)ofourindustrieswholly
eliminatedduetocompetition.Thisraisesgravedoubtsaboutthepossibilityofenjoyinggains
fromtrade.Surprisingly,intheRicardianworld,losinganindustryisanecessaryconditionfora
countrytoexperiencegainsfromtrade.Thereasonissimple.Itwillmaintainallindustriesonly
intheeventthattradeandautarkypricesareequal.Butthisisexactlytheconditionforenjoying
nogainsfromtrade!Hereitmaybesignificantthatweareabletoabstractfromthe
macroeconomicissuesoffullemployment,sincewewouldwanttobesurethatthereleaseof
factorsinonesectorhereallowsexpansioninarelativelymoreefficientsector.
RicardianProblem
T,F,oruncertain?InaworldRicardianeconomyinwhichtwocountriesinitiallyproducethe
samegood,onecanbecertainofcapturingtheentiremarketifitexperiencesfastertechnical
growth.SincebothproducegoodX,say,wemusthavewaLX=PX=PX*=w*aLX*.Theone
thatendsupwiththelowerpricecapturetheentiremarket.Wecanseethatthisdependsnotonly
ontherateoftechnicalchange,butalsoonthegrowthrateofwagesgenerallyineachcountry.
[showproportionalchanges.]
IV.TheHeckscher-Ohlin-SamuelsonModel:TheFactor
ProportionsTheory
Inthischapterwewilldevelopthefactorproportionstheoryofinternationaltrade.Our
jobofanalyzingtradeherewillbeeasierifwefirstreviewafewmicroeconomicprinciplesand
developafewusefuldiagramsthatillustratethese.
Isoquants,IsocostLinesandtheLernerDiagram
Indevelopingourintuitionregardingthedeterminantsofpatternsofinternationaltrade,it
isusefultohavesomebasicdiagramsthathelpustothinkabouttheimplicationsofchangesin
theeconomicenvironment.OnebasicbuildingblockistheLernerdiagram.Toderiveit,though,
wemustbeginbyreviewingthemeaningofanisoquant.
Itmaybeworthwhilerecallingthattheterm"iso-"meansessentially"constant."Soan
isoquantisalinealongwhichthequantityproducedisconstant.TheisoquantforagoodXis
drawnwiththeaxesgivenbythefactorinputsusedtoproducethatgood.Inourwork,wewill
havetwofactors,capitalandlabor,andsothesewillcorrespondtoouraxes.Ifwedrawaunit
isoquantofX,wewillshowthecombinationsofKandLthatarejustcapableofproducingone
unitofX.Notethatingeneralasweusemorelabor,wecanuselesscapital,buteachtimethat
wedothistheamountoflaborthatwehavetoaddincreasesaswehavelessandlesscapital,yet
keepproducingoneunitofX.Thisgivestheisoquantthefamiliar"bowed-in"shape,convexto
theorigin.SincetheMRTS(marginalrateoftechnicalsubstitution)istheslopeoftheisoquant,
wecanseethatthiscorrespondstodiminishingMRTSaslaborissubstitutedforcapital.[see
figure1]
GiventhataunitofoutputcouldbeproducedwithanyofthedifferentcombinationsofK
andLalongtheisoquantcurve,theproducerisfacedwiththeproblemofchoosingwhichtouse.
Theobviousansweristochoosetheonethatproducesthegivenoutputatleastcost.Fromthe
perspectiveoftheindividualproducer,thefactorpriceratio,w/r,isbeyondhercontrol.
Thus,foranygivenfactorpriceratiowecandrawalineincapital/laborspacewithslope-w/r
thatisanisocostline.Thatis,everycombinationofKandLonthatlinewillbesuchthat(wL+
53
rK)equalsthesameconstantnumber.[seefigure2]Obviouslylineswiththesameslopebut
furtherfromtheoriginrepresenthigherlevelsofcosts.[Bynowyoushouldseethesymmetry
betweentheseisocostlinesandtheconsumer'stypicalbudgetline,or"iso-expenditure"line.]
Thusthewaytoproduceitatleastcostistopickthepointoftangencybetweentheisoquantand
theisocostlineforthegivenw/r.Thispointoftangencygivestheoptimalcapitaltolaborratio
forthegivenw/r.[seefigure3]Moreover,verysignificantly,wecannotethatasw/rrises(the
isocostcurvesbecomesteeper)theoptimalcapitaltolabormixwillrise.[seefigures4]This
shouldnotbesurprising--asthecostoflabor(thewage)risesrelativetocapital(therentalcost)
weshouldsubstitutetowardthefactorthathasbecomerelativelycheaper(capitalhere).This
establishesthefactthat,sayforgoodX,theoptimalkXwillbemonotonicallyincreasinginw/r.
Geometricallythiscorrespondstoasteeperlinefromtheorigintothepointoftangency.[see
figure5]Moreover,thefactthatweareworkingwithaconstantreturnstoscaleproduction
functionmeansthattheoptimalcapitaltolabormixdependsonlyonthefactorpriceratio--not
onthescaleofproduction.[seeappendixonCRSproductionfunctions]
Figure5
Bylookingattheexchangemodel,wehavealreadydevelopedarelativelysophisticated
notionofdemand.Nowweneedtoaddproduction,whichitturnsoutisverysimplehere.As
pricechanges,productionmovesalongthePPF.ThuswecansummarizesupplyofXasX=
X(P).SinceP=PX/PYweeasilyverifythatthesupplyofXisincreasinginP.SimilarlyY=Y(P-
1
besurprising.AriseinPnecessarilymeansafallinP-1,soariseinproductionofXandafallin
productionofY.
Wecannowinsertthisdirectlyintotheframeworkofimportdemand/exportsupplythat
wedevelopedearlier--onlynowwithproductionvariable.Letuslookatthehomecountryfirst.
Whatwouldtheautarky(pre-trade)situationlooklike?Wecanseethatinthiscompetitive
economy,productionandconsumptionwouldoccuratacommonpoint,whereMRS=MRT=
PA,andwhereMRTS=w/r(sincewehavefullemploymentandareonthePPF).[seeFigure14]
Thiswouldputusattheautarkyequilibrium,pointA.Intheimportdemand/exportsupply
diagram,thisimpliesMY=0justwhenP=PA.
Wecontinuetoderivetheimportdemandschedulejustasbefore,onlynowweallowfor
productiontovary.Forexample,wecouldaskwhatwouldhappenifPwerePB>PA(i.e.PB-1<
PA-1).ItisclearthatproductionshiftstowardX.Consumptionmovesinthemannerdevelopedin
theearliersection.OureconomywouldimportYandexportX.
Thesamecommentsregardingtheeffectsofpricesonsupplyanddemandholdhereforthe
foreigncountry.
Balancedtradeobtainsexactlywhereourdemandforimportsequalstheirsupplyof
exports(bothofY).Noteinthederivationthatthehomeimportdemandcutstheverticalcurveat
theautarkyprice.Correspondingly,exportsupplyisEX=X(P)−DX(P,R)=EX(P,R).
50EnglishSpanishArabic贸易平衡价格
关键是要注意的进口需求和出口供给曲线本身并不
典型的需求和供给曲线。他们每个人都已经在它的整体结构
生产和需求。
实际收入,生产,弹性和贸易格局(附录)
[以下基础上的洞穴和琼斯的附录。
我们希望开始列明福利费用的来源。第一个检查显示
这些可以来约因(1)贸易条件的变化,或(2)养老变化。
有关的表达,其中RY是指在良好的Y单位的实际收入:
这一艰巨的前瞻性的表达,实际上有一些直观的内容。我们选择
衡量您的真实单位导入Ÿ良好的消费方面的福利。
不出意料的话,消费的变化,那就是福利的变化
达到-即。P级DDX+DDY(注意,价格转换成“真实”的条款,即单位X单位
Y)在这最后的表达,有两个方面。首先是“贸易条款”的影响。注意到
当p-1>0,则导入的价格已上升相对,或等价的条款
贸易恶化,我们并不感到惊讶地发现,这降低了福利。第二项是
看在我们的生产包的小变化的影响。假设我们保持充分
就业,所以留在PPF的,这些变化的一阶效应是零。原因是
我们已经在一个最佳的,因此沿PPF的捷运=DY/DX=-P。但仅仅
相乘,然后重新排列,显示P级DX+DY=0。[更先进的学生可
承认黄/的瓦伊纳信封定理的例子。贸易变化的条款,当进口的国内需求会发生什么?这是一个
复杂的问题。我们要考虑需求替代效应和收入效应,作为
以及供应任何诱导作用。我们将获得的表达反映所有这些:
我们决定对进口和出口密切相关的要求
贸易平衡。这是什么进口需求弹性的关系,并建议有关
出口供应量呢?首先让我们回顾这些条款的定义:
进口需求弹性,我们想有一个想法,贸易条件如何调整外生变化
(除了价格),在这两个国家的进口需求。我们会得到的结果是
贸易条件会变成对进口中的比例增长,具有较大的为准
需求不变的价格:
第三。李嘉图模型
在最后一章中,我们建立了一个重要的原则:如果自给自足的相对价格差异,
它有可能为国家交易的中间价格比等,都可能获得。我们的
世界平衡发展,是基于需求和供给非常笼统
每一个国家。然而,它留给不明为什么自给自足的价格应该有所不同。本
章开发李嘉图贸易模型,并利用比较优势的概念
作为贸易的基础。我们将会看到,在李嘉图模型,这种比较优势派生
从底层的技术提供给每个国家的差异。
李嘉图人民警察的推导
在定点供应的因素之一(劳动)
X和Y两种商品:
该技术是完全描述不断单位劳动投入:ALX和ALY
要素市场的结算要求:
捷运=AL
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