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14.1
CompetitiveFactorMarkets14.2
EquilibriuminaCompetitiveFactorMarket14.3
FactorMarketswithMonopsonyPower14.4
FactorMarketswithMonopolyPower
MarketsforFactorInputsCHAPTEROUTLINECompetitiveFactorMarkets14.1DemandforaFactorInputWhenOnlyOneInputIsVariable●marginalrevenueproductAdditionalrevenueresultingfromthesaleofoutputcreatedbytheuseofoneadditionalunitofaninput.HowdowemeasuretheMRPL?It’stheadditionaloutputobtainedfromtheadditionalunitofthislabor,multipliedbytheadditionalrevenuefromanextraunitofoutput.●deriveddemandDemandforaninputthatdependson,andisderivedfrom,boththefirm’slevelofoutputandthecostofinputs.(14.1)Thisimportantresultholdsforanycompetitivefactormarket,whetherornottheoutputmarketiscompetitive.Inacompetitiveoutputmarket,afirmwillsellallitsoutputatthemarketpriceP.Inthiscase,themarginalrevenueproductoflaborisequaltothemarginalproductoflabortimesthepriceoftheproduct:(14.2)
MARGINALREVENUEPRODUCTFIGURE14.1Inacompetitivefactormarketinwhichtheproducerisapricetaker,thebuyer’sdemandforaninputisgivenbythemarginalrevenueproductcurve.TheMRPcurvefallsbecausethemarginalproductoflaborfallsashoursofworkincrease.Whentheproduceroftheproducthasmonopolypower,thedemandfortheinputisalsogivenbytheMRPcurve.Inthiscase,however,theMRPcurvefallsbecauseboththemarginalproductoflaborandmarginalrevenuefall.Notethatthemarginalrevenueproducttellsushowmuchthefirm
shouldbewillingtopaytohireanadditionalunitoflabor.AslongastheMRPL
isgreaterthanthewagerate,thefirmshouldhiremorelabor.Ifthemarginalrevenueproductislessthanthewagerate,thefirmshouldlayoffworkers.Theprofit-maximizingconditionistherefore
(14.3)
HIRINGBYAFIRMINTHELABORMARKET(WITHFIXEDCAPITAL)FIGURE14.2Inacompetitivelabormarket,afirmfacesaperfectlyelasticsupplyoflaborSL
andcanhireasmanyworkersasitwantsatawageratew*.Thefirm’sdemandforlaborDL
isgivenbyitsmarginalrevenueproductoflaborMRPL.Theprofit-maximizingfirmwillhireL*unitsoflaboratthepointwherethemarginalrevenueproductoflaborisequaltothewagerate.ASHIFTINTHESUPPLYOFLABORFIGURE14.3WhenthesupplyoflaborfacingthefirmsisS1,thefirmhiresL1unitsoflaboratwagew1.ButwhenthemarketwageratedecreasesandthesupplyoflaborshiftstoS2,thefirmmaximizesitsprofitbymovingalongthedemandforlaborcurveuntilthenewwageratew2isequaltothemarginalrevenueproductoflabor.Asaresult,L2unitsoflaborarehired.(14.4)Factormarketsaresimilartooutputmarketsinmanyways.Forexample,thefactormarketprofit-maximizingconditionthatthemarginalrevenueproductoflaborbeequaltothewagerateisanalogoustotheoutputmarketconditionthatmarginalrevenuebeequaltomarginalcost.RecallthatMRPL=(MPL)(MR)anddividebothsidesofequationbythemarginalproductoflabor.Then,Equation(14.4)showsthatboththehiringandoutputchoicesofthefirmfollowthesamerule:Inputsoroutputsarechosensothatmarginalrevenue(fromthesaleofoutput)isequaltomarginalcost(fromthepurchaseofinputs).Thisprincipleholdsinbothcompetitiveandnoncompetitivemarkets.
FIRM’SDEMANDCURVEFORLABOR(WITHVARIABLECAPITAL)FIGURE14.4Whentwoormoreinputsarevariable,afirm’sdemandforoneinputdependsonthemarginalrevenueproductofbothinputs.Whenthewagerateis$20,Arepresentsonepointonthefirm’sdemandforlaborcurve.Whenthewageratefallsto$15,themarginalproductofcapitalrises,encouragingthefirmtorentmoremachineryandhiremorelabor.Asaresult,theMRPcurveshiftsfromMRPL1toMRPL2,generatinganewpointConthefirm’sdemandforlaborcurve.ThusAandCareonthedemandforlaborcurve,butBisnot.DemandforaFactorInputWhenSeveralInputsAreVariableTheMarketDemandCurveAfactorinputsuchasskilledlaborisdemandedbyfirmsinmanydifferentindustries.Moreover,aswemovefromindustrytoindustry,wearelikelytofindthatfirms’demandsforlabor(whicharederivedinpartfromthedemandsforthefirms’output)varysubstantially.Therefore,toobtainthetotalmarketdemandforlaborcurve,wemustfirstdetermineeachindustry’sdemandforlabor,andthenaddtheindustrydemandcurveshorizontally.Thesecondstepisstraightforward.Addingindustrydemandcurvesforlabortoobtainamarketdemandcurveforlaborisjustlikeaddingindividualproductdemandcurvestoobtainthemarketdemandcurveforthatproduct.THEINDUSTRYDEMANDFORLABORFIGURE14.5Thedemandcurveforlaborofacompetitivefirm,MRPL1in(a),takestheproductpriceasgiven.Butasthewageratefallsfrom$15to$10perhour,theproductpricealsofalls.Thusthefirm’sdemandcurveshiftsdownwardtoMRPL2.Asaresult,theindustrydemandcurve,shownin(b),ismoreinelasticthanthedemandcurvethatwouldbeobtainediftheproductpricewereassumedtobeunchanged.DETERMININGINDUSTRYDEMANDEXAMPLE14.1THEDEMANDFORJETFUELJetfuelcostshavebeenhighlyvolatileduring
thepastseveraldecades.Understandingthe
demandforjetfuelisimportanttomanagersof
bothoilrefineriesandairlines.Thepriceelasticityofdemandforjetfuel
dependsbothontheabilitytoconservefuel
andontheelasticitiesofdemandandsupplyoftravel.Overall,theresultsshowthatthedemandforjetfuelasaninputtotheproductionofairlineflight-milesisveryinelastic.Intheshortrun,thereisnogoodsubstituteforjetfuel.Thelong-runelasticityofdemandishigher,however,becauseairlinescaneventuallyintroducemoreenergy-efficientairplanes.TABLE14.1
SHORT-RUNPRICEELASTICITYOFDEMANDFORJETFUELAIRLINEELASTICITYAIRLINEELASTICITYAmerican–.06Delta–.15Continental–.09United–.10EXAMPLE14.1THEDEMANDFORJETFUELTHESHORT-ANDLONG-RUNDEMANDFORJETFUELFIGURE11.6Theshort-rundemandforjetfuelMRPSRismoreinelasticthanthelong-rundemandMRPLR.Intheshortrun,airlinescannotreducefuelconsumptionmuchwhenfuelpricesincrease.Inthelongrun,however,theycanswitchtolonger,morefuel-efficientroutesandputmorefuel-efficientplanesintoservice.TheSupplyofInputstoaFirm●marginalexpenditurecurve Curvedescribingtheadditionalcostofpurchasingoneadditionalunitofagood.●
averageexpenditurecurve Supplycurverepresentingthepriceperunitthatafirmpaysforagood.Profitmaximizationrequiresthatmarginalrevenueproductbeequaltomarginalexpenditure:Inthecompetitivecase,theconditionforprofitmaximizationisthatthepriceoftheinputbeequaltomarginalexpenditure:(14.6)(14.5)
AFIRM’SINPUTSUPPLYINACOMPETITIVEFACTORMARKETFIGURE14.7Inacompetitivefactormarket,afirmcanbuyanyamountoftheinputitwantswithoutaffectingtheprice.Therefore,thefirmfacesaperfectlyelasticsupplycurveforthatinput.Asaresult,thequantityoftheinputpurchasedbytheproduceroftheproductisdeterminedbytheintersectionoftheinputdemandandsupplycurves.In(a),theindustryquantitydemandedandquantitysuppliedoffabricareequatedatapriceof$10peryard.In(b),thefirmfacesahorizontalmarginalexpenditurecurveatapriceof$10peryardoffabricandchoosestobuy50yards.TheMarketSupplyofInputsBACKWARD-BENDINGSUPPLYOFLABORFIGURE14.8Whenthewagerateincreases,thehoursofworksuppliedincreaseinitiallybutcaneventuallydecreaseasindividualschoosetoenjoymoreleisureandtoworkless.
Thebackward-bendingportionofthelaborsupplycurveariseswhentheincomeeffectofthehigherwage(whichencouragesmoreleisure)isgreaterthanthesubstitutioneffect(whichencouragesmorework).SUBSTITUTIONANDINCOMEEFFECTSOFAWAGEINCREASEFIGURE14.9Whenthewagerateincreasesfrom$10to$30perhour,theworker’sbudgetlineshiftsfromPQtoRQ.Inresponse,theworkermovesfromAtoBwhiledecreasingworkhoursfrom8to5.Thereductioninhoursworkedarisesbecausetheincomeeffectoutweighsthesubstitutioneffect.Inthiscase,thesupplyoflaborcurveisbackwardbending.720EXAMPLE14.2LABORSUPPLYFORONE-ANDTWO-EARNERHOUSEHOLDSTABLE14.2
ELASTICITIESOFLABORSUPPLY(HOURSWORKED)GROUPHEAD’SHOURS
WITHRESPECTTO
HEAD’SWAGESPOUSE’SHOURSWITHRESPECTTO
SPOUSE’SWAGEHEAD’SHOURS
WITHRESPECTTO
SPOUSE’SWAGEUnmarriedmales,nochildren.026Unmarriedfemales,children.106Unmarriedfemales,nochildren.011One-earnerfamily,children–.078One-earnerfamily,nochildren.007Two-earnerfamilychildren–.002–.086–.004Two-earnerfamily,nochildren–.107–.028–.059Oneofthemostdramaticchangesinthelabormarketinthetwentiethcenturyhasbeentheincreaseinwomen’sparticipationinthelaborforce.Onewaytodescribetheworkdecisionsofthevariousfamilygroupsistocalculatelaborsupplyelasticities.Whenahigherwagerateleadstofewerhoursworked,thelaborsupplycurveisbackwardbending:Theincomeeffect,whichencouragesmoreleisure,outweighsthesubstitutioneffect,whichencouragesmorework.Theelasticityoflaborsupplyisthennegative.EquilibriuminaCompetitiveFactorMarket14.2LABORMARKETEQUILIBRIUMFIGURE14.10Inacompetitivelabormarketinwhichtheoutputmarketiscompetitive,theequilibriumwagewcisgivenbytheintersectionofthedemandforlaborandthesupplyoflaborcurve(pointA).Whentheproducerhasmonopolypower,themarginalvalueofaworkervMisgreaterthanthewagewM.Thustoofewworkersareemployed.(PointBdeterminesthequantityoflaborthatthefirmhiresandthewageratepaid.)EconomicRentForafactormarket,economicrentisthedifferencebetweenthepaymentsmadetoafactorofproductionandtheminimumamountthatmustbespenttoobtaintheuseofthatfactor.ECONOMICRENTFIGURE14.11Theeconomicrentassociatedwiththeemploymentoflaboristheexcessofwagespaidabovetheminimumamountneededtohireworkers.
TheequilibriumwageisgivenbyA,attheintersectionofthelaborsupplyandlabordemandcurves.Becausethesupplycurveisupwardsloping,someworkerswouldhaveacceptedjobsforawagelessthanw*.
Thegreen-shadedareaABw*istheeconomicrentreceivedbyallworkers.LANDRENTFIGURE14.12Whenthesupplyoflandisperfectlyinelastic,themarketpriceoflandisdeterminedatthepointofintersectionwiththedemandcurve.Theentirevalueofthelandisthenaneconomicrent.WhendemandisgivenbyD1,theeconomicrentperacreisgivenbys1,andwhendemandincreasestoD2,rentperacreincreasestos2.EXAMPLE14.3PAYINTHEMILITARYTodealwithashortageofskilledlabor,the
militarychangeditswagestructureto
maintainaneffectivefightingforce.Toreduce
theshortage,themilitaryofferedpayraises,
reenlistmentbonusestargetedatskilledjobs,
andemphasisonthebenefitsofsubsidizedhousing,food,medicalcare,education,andtechnicaltraining.THESHORTAGEOFSKILLEDMILITARYPERSONNELFIGURE11.13Whenthewagew*ispaidtomilitarypersonnel,thelabormarketisinequilibrium.Whenthewageiskeptbeloww*,atw0,thereisashortageofpersonnelbecausethequantityoflabordemandedisgreaterthanthequantitysupplied.FactorMarketswithMonopsonyPower14.3Insomefactormarkets,individualbuyershavebuyerpowerthatallowsthemtoaffectthepricestheypay.Oftenthishappenseitherwhenonefirmisamonopsonybuyerorthereareonlyafewbuyers,inwhichcaseeachfirmhassomemonopsonypower.Firmswithmonopsonypowerbuylargequantitiesandcannegotiatelowerpricesthanthosechargedsmallerpurchasers.Inothercases,theremightbeonlytwoorthreesellersofafactorandadozenormorebuyers,buteachbuyernonethelesshasbargainingpower—itcannegotiatelowpricesbecauseitmakeslargeandinfrequentpurchasesandcanplaythesellersoffagainsteachotherwhenbargainingoverprice.Throughoutthissection,wewillassumethattheoutputmarketisperfectlycompetitive.Inaddition,becauseasinglebuyeriseasiertovisualizethanseveralbuyerswhoallhavesomemonopsonypower,wewillrestrictourattentionatfirsttopuremonopsony.MonopsonyPower:MarginalandAverageExpenditureMARGINALANDAVERAGEEXPENDITUREFIGURE14.14Whenthebuyerofaninputhasmonopsonypower,themarginalexpenditurecurveliesabovetheaverageexpenditurecurvebecausethedecisiontobuyanextraunitraisesthepricethatmustbepaidforallunits,notjustforthelastone.ThenumberofunitsofinputpurchasedisgivenbyL*,attheintersectionofthemarginalrevenueproductandmarginalexpenditurecurves.Thecorrespondingwageratew*islowerthanthecompetitivewagewc.LCPurchasingDecisionswithMonopsonyPowerBargainingPowerAbuyerwithmonopsonypowermaximizesnetbenefit(utilitylessexpenditure)fromapurchasebybuyinguptothepointwheremarginalvalue(MV)isequaltomarginalexpenditure:Forafirmbuyingafactorinput,MVisjustthemarginalrevenueproductofthefactorMRP.(14.7)Theamountofbargainingpowerthatabuyerorsellerhasisdeterminedinpartbythenumberofcompetingbuyersandcompetingsellers.Butitisalsodeterminedbythenatureofthepurchaseitself.EXAMPLE14.4MONOPSONYPOWERINTHEMARKETFORBASEBALLPLAYERSIntheUnitedStates,majorleaguebaseballisexempt
fromtheantitrustlaws.Thisexemptionallowed
baseballteamowners(before1975)tooperatea
monopsonisticcartel.Likeallcartels,thisonedependedonanagreement
amongowners.Theagreementinvolvedanannual
draftofplayersandareserveclausethateffectivelytiedeachplayertooneteamforlife,therebyeliminatinginterteamcompetitionforplayers.Asaresult,baseballownershadmonopsonypowerinnegotiatingnewcontractswiththeirplayers.Duringthe1960sandearly1970s,baseballplayers’salarieswerefarbelowthemarketvalueoftheirmarginalproducts.Fortunatelyfortheplayers,andunfortunatelyfortheowners,therewasastrikein1972followedbyalawsuitbyoneplayerandanarbitratedlabor-managementagreement.Thisprocesseventuallyledin1975toanagreementbywhichplayerscouldbecomefreeagentsafterplayingforateamforsixyears.Theresultwasaninterestingexperimentinlabormarketeconomics.Between1975and1980,themarketforbaseballplayersadjustedtoanewpost-reserveclauseequilibrium.Theaverageplayer’ssalarydoubledinrealterms.EXAMPLE14.5TEENAGELABORMARKETSANDTHEMINIMUMWAGEIncreasesinthenationalminimumwagerate(which
was$4.50inearly1996and$7.20in2011)were
controversial,raisingthequestionofwhetherthecost
ofanyunemploymentthatmightbegeneratedwould
beoutweighedbythebenefitofhigherincomesto
thosewhosewageshavebeenincreased.Astudyoftheeffectsoftheminimumwageonemploymentinfast-foodrestaurantsinNewJerseyfoundthatemploymenthadactuallyincreasedby13percentaftertheminimumwagewentup.Onepossibilityisthatrestaurantsrespondedtothehigherminimumwagebyreducingfringebenefitsandprovidinglesson-the-job-training.AnalternativeexplanationfortheincreasedNewJerseyemploymentholdsthatthelabormarketforteenage(andother)unskilledworkersisnothighlycompetitive.Thereisnoevidenceofmonopsonypowerinthefast-foodindustry.Iffirmsdohavemonopsonypowerbutthefast-foodmarketiscompetitive,thentheincreaseintheminimumwageshouldhavenoeffectonthepriceoffastfood.Theanalysisoftheminimumwageremainshotlydebated.Newempiricalstudiesshouldshedmorelightontheeffectsoftheminimumwage.FactorMarketswithMonopolyPower14.4MonopolyPowerovertheWageRateMONOPOLYPOWEROFSELLERSOFLABORFIGURE14.15Whenalaborunionisamonopolist,itchoosesamongpointsonthebuyer’sdemandforlaborcurveDL.Thesellercanmaximizethenumberofworkershired,atL*,byagreeingthatworkerswillworkatwagew*.ThequantityoflaborL1thatmaximizestherentearnedbyemployeesisdeterminedbytheintersectionofthemarginalrevenueandsupplyoflaborcurves;unionmemberswillreceiveawagerateofw1.Finally,iftheunionwishestomaximizetotalwagespaidtoworkers,itshouldallowL2unionmemberstobeemployedatawagerateofw2.Atthatpoint,themarginalrevenuetotheunionwillbezero.UnionizedandNonunionizedWorkersWAGEDISCRIMINATIONINUNIONIZEDANDNONUNIONIZEDSECTORSFIGURE14.16Whenamonopolisticunionraisesthewageintheunionizedsectoroftheeconomyfromw*towU,employmentinthatsectorfalls,asshownbythemovementalongthedemandcurveDU.Forthetotalsupplyoflabor,givenbySL,toremainunchanged,thewageinthenonunionizedsectormustfallfromw*towNU,asshownbythemovementalongthedemandcurveDNU.EXAMPLE14.6THEDECLINEOFPRIVATE-SECTORUNIONISMForseveraldecades,themembershipoflaborunionshasbeendeclining.Aswemovedintothe21stcenturytherateofdeclinebegantodiminishandithasstabilizedinrecentyearsatabout12percent.In2010,unionizationinthepublicsector,was36.2percent,andonly6.9%intheprivatesector.Duringthepasttwodecades,anumberofeconomicforceshaveledtoafurthernarrowingoftheunion-nonunionwagedifferential.Thedemandforunionizedemployeeshasbecomeincreasinglyelasticovertimeasfirmshavefounditeasiertosubstitutecapitalforskilledlaborintheproductionprocess.Globalizationhasmeantthatmanycompanieswereabletoorganizetheirproductionprocessessoastohirenon-unionlabor,eitherwithinoroutsidetheUnitedStates.Facedwithanelasticde
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