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MARKETSFORFACTORINPUTS
TEACHINGNOTES
Thefollowingtwochaptersexaminethemarketsforlaborandcapital.Althoughthe
discussioninthischapterisgeneral,mostoftheexamplesrefertolaborastheonlyvariableinputtoproduction,withtheexceptionofExample,whichdiscusses“TheDemandforJetFuel”byairlines.Labordemandandsupplyarediscussedinthefirstsection,andthecompetitivefactormarketequilibriumandeconomicrentarediscussedinthesecondsection.Sectionexploresthefactormarketstructureforthecasewherethebuyerhasmonopsonypower,andsectionexploresthecaseofmonopolypoweronthepartofthesellerofthefactor.
AnunderstandingofthischapterreliesonconceptsfromChapters4through8and10.
IfyouhavejustcoveredChapters11-13,youmightbeginbyreviewingmarginalproduct,marginalrevenue,andcostminimization.Youshouldthendiscussmarginalrevenueproductandtheprofit-maximizingconditionMRP=w.Explainwhyweareonlyinterestedintheportionof
theMPcurvebelowtheaverageproductcurve(thedownward-slopingportion).Thederivationofthefirm'sdemandcurveforlaborisstraightforwardwhenlaboristheonlyfactor,butbecomesmorecomplicatedwhenthereareseveralvariableinputs.Inparticular,youmightexplainwhytheMRPcurveshiftsasthefirmsubstitutesoneinputforanotherinproduction
inresponsetoapricechangebynotingthattheMRPcurveisdrawnforafixedlevelofthe
othervariableinput.
Whenpresentingthemarketlabordemandcurve,explainthatsincetheinputpriceschangeasmoreinputsaredemanded,themarketdemandcurveisnotsimplythesummationofindividualdemandcurves.Youcanextendthepresentationofpriceelasticityofinputdemand(seeExamplebydiscussingtheconditionsleadingtopricesensitivity.Elasticityisgreater(1)whentheelasticityofdemandfortheproductishigher,(2)whenitiseasytosubstituteoneinputforanother,and(3)whentheelasticityofsupplyishigherforotherinputs.
Elasticityofsupply,whichwasdiscussedinChapter2,isreintroducedinExample.Youshouldalsodistinguishbetweenshort-runandlong-runelasticity(seeFigure.
Ifyouhavealreadycoveredsubstitutionandincomeeffects,thestudentswillbeready
forthederivationofthebackward-bendingsupplycurveforlabor.AlthoughFigureisa
straightforwardapplicationofthesetools,studentsareoftenconfusedbytheplottingof
incomeagainstleisure.Pointoutthatthisisjustanothertypeofutilitymaximization
problemwherethetwogoodsareleisureandincome.Incomecanbethoughtofasthe
consumptionofgoodsotherthanleisure,inthatmoreincomebuysmoregoods.Youcanalsoimplicitlyassumethatthepriceofothergoodsis$1andthepriceofleisureisthewage.
Thesupplyoflaborcurveisderivedbychangingthewageandfindingthenewlevelofhours
worked.Anindividual'ssupplycurveoflaborisbackwardbendingonlywhentheincomeeffectdominatesthesubstitutioneffectandleisureisanormalgood.ShowtypicalsupplycurvesforeachgroupinTable.Foranexperimentalstudyofthelabor-leisuretrade-offseeBattalio,
Green,andKagel,“Income-LeisureTradeoffofAnimalWokers,”
AmericanEconomicReview
(September1981).
Sectionbringstogetherlabordemandandsupplyforbothcompetitiveandmonopolistic
productmarkets.AlthougheconomicrentwaspresentedinChapter8,itisreintroducedwith
moredetailhere.InSection,carefullyexplainwhythemarginalexpenditurecurveisabove
theaverageexpenditurecurveforamonopsonist(seeFigure.Youcandiscusshowamonopsonist
wouldpricediscriminate,.,payadifferentwageratetoeachemployee.Withperfectprice
discrimination,themarginalrevenueexpenditurecurvewouldcoincidewiththeaverageexpenditurecurve.Althoughmonopsonyexistsinsomemarkets,theexerciseofmonopsonypower
However,theemploymentofathletesbytheownersof
professionalteamsprovidesagoodexample(seeExample
discussesthecaseofunionstoexploremonopolypoweronthepartoftheselleroftheinput.
israrebecauseoffactormobility.MonopsonyPowerintheMarketfor
BaseballPlayers”).
Onthissametopic,seeSommersandQuinton,PayandPerformaneeinMajorLeagueBaseball:
TheCaseoftheFirstFamilyofFreeAgents,JournalofHumanResources(Summer1982).Section
REVIEWQUESTIONS
1.Whyisafirm'sdemandforlaborcurvemoreinelasticwhenthefirmhasintheoutputmarket
thanwhenthefirmisproducingcompetitively
Thefirm'sdemandcurveforlaborisdeterminedbytheincrementalrevenuefrom
hiringanadditionalunitoflaborknownasthemarginalrevenueproductoflabor:MRp=(MP)(MRtheadditionaloutput(
“product”)thatthelastworkerproduced,timestheadditionalrevenueearnedbysellingthatoutput.Ina
competitiveindustry,themarginalrevenuecurveisperfectlyelasticandequal
toprice.Foramonopolist,marginalrevenueisdownwardsloping.Asmore
laborishiredandmoreoutputisproduced,themonopolistwillchargealower
productwillbesmallerforthemonopolist.
revenueproductforthemonopolistismoreinelasticfirm.2.Whymightalaborsupplycurvebebackwardbending
Abackward-bendingsupplycurveforlabormayoccurwhentheincomeeffectofan
increaseinthewageratedominatesthesubstitutioneffect.Laborsupply
decisionsaremadebyindividualschoosingthemostsatisfyingcombinationof
workandother(leisure)activities.Withalargerincome,theindividualcanaffordtoworkfewerhours:theincomeeffect.Asthewagerateincreases,thevalueofleisuretime(theopportunitycostofleisure)increases,thusinducingtheindividualtoworklongerhours:thesubstitutioneffect.Becausethetwo
effectsworkinoppositedirections,theshapeofanindividua
l'slaborsupplycurvedependsontheindividual'spreferences
forincome,consumption,and
leisure.
3.Howisacomputercompany'sdemandforcomputerprogrammersaderiveddemand
Acomputercompanysdemandforinputs,includingprogrammers,dependsonhowmanycomputersitsells.Thefirm'sdemandforprogramminglabordependson(isderivedfrom)thedemanditfacesinitsmarketforcomputers.Asdemandforcomputersshifts,thedemandforprogrammersshifts.monopolypower
priceandmarginalrevenuewilldiminish.
Allelsethesame,marginalrevenue
Thisimpliesthatthemarginalthanforthecompetitive
4.Comparethehiringchoicesofamonopsonisticandacompetitiveemployerofworkers.
Whichwillhiremoreworkers,andwhichwillpaythehigherwagesExplain.Sincethedecisiontohireanotherworkermeansthemonopsonistmustpaya
higherwageforallworkers,
andnotjustthelastworkerhired,itsmarginalexpenditure
curveliesabovetheinputsupplycurve(theaverageexpenditurecurve).Themonopsonist'sprofit-maximizinginputdemand,wherethemarginal
expenditurecurveintersectsthemarginalrevenueproductcurve,willbeless
thanthecompetitor'sprofit-maximizinginput
choice,wheretheaverageexpenditurecurveintersectsthedemandcurve.Themonopsonisthireslesslabor,
andthewagepaidwillbelessthaninacompetitivemarket.
5.Rockmusicianssometimesearnover$1millionperyear.Canyouexplainsuchlargeincomesintermsofeconomicrent
Economicrentisthedifferencebetweentheactualpaymenttothefactorofproductionandtheminimum
amountthatthefactoriswillingtoaccept.Inthis
case,youmightassumethattherearealimitednumberoftop-qualityrockmusicianswhowillcontinuetoplayrockmusicnomatterwhattheyarepaid.Thisresultsinaperfectlyinelasticsupplycurve,orsomethingclosetoit.Giventhehighdemandforrockmusic,thewagewillbeveryhighandtherewill
bealotofeconomicrent.Iftherewasalargersupplyoftop-qualityrockmusicians,oramoreelasticsupply,thentheeconomicrentwouldbesmaller.
6.Whathappenstothedemandforoneinputwhentheuseofacomplementaryinputincreases
Ifthedemandforthecomplementaryinputincreases,thedemandforthegiveninputwillincreaseaswell.
Whendemandforthecomplementaryinputincreases,
thereisanincreaseinthequantityhiredandpossiblythepricepaid.Bothof
MRPofthegiveninput,andhencewillincrease
thequantityhiredandpossiblythepricepaid.marginalexpenditureonit
Thedecisiontoincreaseemploymentmeansthemonopsonistmustpayhigherprice,andnotjustthelastunithired.expenditurecurveliesabovetheinputsupplycurve(theaverageexpenditurecurve).Hiring
morelaborwillincreasethemarginalexpenditure,whichwillincreasetheaverageexpenditure.Iftheaverageexpenditureisincreasing,thenthemarginalexpendituremustbegreaterthantheaverageexpenditure.
8.CurrentlytheNationalFootballLeaguehasasystemfordraftingcollegeplayersbywhicheachplayerispickedbythesechangeswillincreasetheWhetherthepricesofthe
7.
inputsincreases
firm.
Foramonopsonist,dependsonthedegreeofwhatistherelationshipmonopsonypoweronthepartbetweenthesupplyoftheofaninputandthe
allunitsthe
Therefore,itsmarginal
onlyoneteam.Theplayermustsignwiththatteamornot
playintheleague.Whatwouldhappentothewagesofnewlydraftedandmoreexperiencedfootballplayersifthedraftsystemwererepealed,andallteamscouldcompeteforcollegeplayers
TheNationalFootballLeaguedraftandreserveclause(aprimaryissueinthe
1987-1988season'sstrike)createsamonopsonistcartelamongtheownersofNFL
teams.Ifthedraftsystemwererepealed,competitionamongteamswouldincreasewagesoffootballplayerstothepointwherethemarginalrevenueproductofeachplayerwouldbeequaltotheplayer'swage.
9.ThegoverXXXentwantstoencourageindividualsonwelfaretobecomeemployed.Itisconsideringtwopossibleincentiveprogramsforfirms.
A.Givethefirm$2perhourforeveryindividualonwelfarewhoishired.
B.Giveeachfirmthathiresoneormorewelfareworkersapaymentof$1000peryear,irrespectiveofthe
numberofhires.
Towhatextentiseachoftheseprogramslikelytobeeffectiveatincreasingtheemploymentopportunitiesforwelfareworkers
Firmswillhireadditionallaboraslongastheextrabenefitisgreaterthan
theextracostofhiringtheworker,oruntilMRPL=w.OptionAwouldbeeffectivebecauseifthefirmreceives$2perhourforeverywelfareworkerhiredthentheeffectivewagepaid,w,willfallandthefirmwillfinditoptimaltohiremorelaboruntilthebenefits(MRPL)againequalthecosts(w)
atthemargin.OptionBwouldbeeffectiveatincreasingemployment
opportunitiesalsointhatifthefirmhiresanindividualwhohasbeenonwelfaretheywillthenreceive$1000.
However,planBisnotnecessarilyaseffectiveasplanAgiventhefirmonlyreceivesonelumpsumpayment
regardlessofthenumberofwelfareworkershired.Inthiscasethefirmonly
hasanincentivetohiretheonewelfareworker,thoughtheymayofcoursechoosetohiremorethanonewelfareworker.
10.Asmallspecialtycookiecompany,whoseonlyvariableinputislabor,findsthatthe
averageworkercanproduce50cookiesperday,thecostoftheaverageworkeris$64per
day,andthepriceofacookieis$1.IsthecookiecompanymaximizingitsprofitExplain.
Themarginalproductoflaboris50(cookiesperda
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