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APPLIEDCOMPETITIVEANALYSISTHEMODELOFAPERFECTLYCOMPETITIVEMARKETWEDEVELOPEDINTHEPREVIOUSCHAPTERPROVIDESTHEBASISFORMUCHAPPLIEDMICROECONOMICANALYSISUSINGTHESEPRINCIPLESOFSUPPLYANDDEMANDHASPROVENTOBEAGOODWAYTOGETSTARTEDINANINVESTIGATIONOFMANYREALWORLDMARKETSINTHISCHAPTERWEPROVIDEABRIEFDESCRIPTIONOFSOMEOFTHESEUSESBEFOREBEGINNING,TWOWARNINGSMAYBEAPPROPRIATEFIRST,OURANALYSISHEREWILLLOOKONLYATASINGLEMARKETTHATIS,WEWILLEMPLOYAPARTIALEQUILIBRIUMAPPROACHINCHAPTER16WEEXPLOREASERIESOFGENERALEQUILIBRIUMMODELSTHATPERMITANINVESTIGATIONOFREPERCUSSIONSINMANYMARKETSSIMULTANEOUSLYINSUCHMODELSSOMEOFTHESIMPLERESULTSOFSUPPLYANDDEMANDANALYSISMAYNOTHOLDSIMILARLY,AWARNINGABOUTTHESTRICTASSUMPTIONSTHATUNDERLIETHECOMPETITIVEMODELSHOULDALSOBEKEPTINMINDTHEMOSTIMPORTANTSUCHASSUMPTIONISTHATOFPRICETAKINGBEHAVIORONTHEPARTOFBOTHSUPPLIERSANDDEMANDERSWHENECONOMICACTORSHAVESOMEINUENCEONMARKETPRICE,ALTERNATIVEMODELSAREREQUIREDSEVERALSUCHMODELSAREEXAMINEDINPARTVOFTHISBOOK15CHAPTERECONOMICEFCIENCYANDWELFAREANALYSISLONGRUNCOMPETITIVEEQUILIBRIAMAYHAVETHEDESIRABLEPROPERTYOFALLOCATINGRESOURCES“EFCIENTLY”ALTHOUGHWEWILLHAVEFARMORETOSAYABOUTTHISCONCEPTINAGENERALEQUILIBRIUMCONTEXTINCHAPTER17,HEREWECANOFFERAPARTIALEQUILIBRIUMDESCRIPTIONOFWHYTHERESULTMIGHTHOLDREMEMBERFROMCHAPTER5THATTHEAREABELOWADEMANDCURVEANDABOVEMARKETPRICEREPRESENTSCONSUMERSURPLUSTHEEXTRAUTILITYCONSUMERSRECEIVEFROMCHOOSINGTOPURCHASEAGOODVOLUNTARILYRATHERTHANBEINGFORCEDTODOWITHOUTITSIMILARLY,ASWESAWINCHAPTER14,PRODUCERSURPLUSISMEASUREDASTHEAREABELOWMARKETPRICEANDABOVETHELONGRUNSUPPLYCURVE,WHICHREPRESENTSTHEEXTRARETURNTHATPRODUCTIVEINPUTSRECEIVERATHERTHANHAVINGNOTRANSACTIONSINTHEGOODOVERALLTHEN,THEAREABETWEENTHEDEMANDCURVEANDTHESUPPLYCURVEREPRESENTSTHESUMOFCONSUMERANDPRODUCERSURPLUSITMEASURESTHETOTALADDITIONALVALUEOBTAINEDBYMARKETPARTICIPANTSBYBEINGABLETOMAKEMARKETTRANSACTIONSINTHISGOODITSEEMSCLEARTHATTHISTOTALAREAISMAXIMIZEDATTHECOMPETITIVEMARKETEQUILIBRIUMAGRAPHICPROOFFIGURE151SHOWSASIMPLIEDPROOFGIVENTHEDEMANDCURVEDANDTHELONGRUNSUPPLYCURVES,THESUMOFCONSUMERANDPRODUCERSURPLUSISGIVENBYDISTANCEABFORTHERSTUNITPRODUCEDTOTALSURPLUSCONTINUESTOINCREASEASADDITIONALOUTPUTISPRODUCEDUPTOTHECOMPETITIVEEQUILIBRIUMLEVEL,QTHISLEVELOFPRODUCTIONWILLBEACHIEVEDWHENPRICEISATTHECOMPETITIVELEVEL,PTOTALCONSUMERSURPLUSISREPRESENTEDBYTHELIGHTSHADEDAREAINTHEGURE,TOTALPRODUCERSURPLUSBYTHEDARKERSHADEDAREACLEARLY,FOROUTPUTLEVELSLESSTHANQ,SAY,Q1,TOTALSURPLUSWOULDBEREDUCEDONESIGNOFTHISMISALLOCATIONISTHATATQ1,DEMANDERSWOULDVALUEANADDITIONALUNITOFOUTPUTATP1,WHEREASMARGINALCOSTSWOULDBEGIVENBYP2BECAUSEP1H11022P2,TOTALWELFAREWOULDCLEARLYINCREASEBYPRODUCINGONEMOREUNITOFOUTPUTATRANSACTIONTHATINVOLVEDTRADINGTHISEXTRAUNITATANYPRICEBETWEENP1ANDP2WOULDBEMUTUALLYBENECIALBOTHPARTIESWOULDGAINTHETOTALWELFARELOSSTHATOCCURSATOUTPUTLEVELQ1ISGIVENBYAREAFEGTHEDISTRIBUTIONOFSURPLUSATOUTPUTLEVELQ1WILLDEPENDONTHEPRECISENONEQUILIBRIUMPRICETHATPREVAILSINTHEMARKETATAPRICEOFP1CONSUMERSURPLUSWOULDBEREDUCEDSUBSTANTIALLYTOAREAAFP1,WHEREASPRODUCERSMIGHTACTUALLYGAINBECAUSEPRODUCERSURPLUSISNOWP1FGBATALOWPRICESUCHASP2THESITUATIONWOULDBEREVERSED,WITHPRODUCERSBEINGMUCHWORSEOFFTHANTHEYWEREINITIALLYHENCETHEDISTRIBUTIONOFTHEWELFARELOSSESFROMPRODUCINGLESSTHANQWILLDEPENDONTHEPRICEATWHICHTRANSACTIONSARECONDUCTEDTHESIZEOFTHETOTALLOSS,HOWEVER,ISGIVENBYFEG,REGARDLESSOFTHEPRICESETTLEDUPON1AMATHEMATICALPROOFMATHEMATICALLY,WEWISHTOMAXIMIZECONSUMERSURPLUSH11001PRODUCERSURPLUSH11005151UQH11002PQH11001PQH11002H20885Q0PQDQH11005UQH11002H20885Q0PQDQ,402PARTVPERFECTCOMPETITION1INCREASESINOUTPUTBEYONDQALSOCLEARLYREDUCEWELFARESEEPROBLEM151WHEREUQISTHEUTILITYFUNCTIONOFTHEREPRESENTATIVECONSUMERANDPQISTHELONGRUNSUPPLYRELATIONINLONGRUNEQUILIBRIAALONGTHELONGRUNSUPPLYCURVE,PQH11005ACH11005MCMAXIMIZATIONOFEQUATION151WITHRESPECTTOQYIELDSUH11032QH11005PQH11005ACH11005MC,152SOMAXIMIZATIONOCCURSWHERETHEMARGINALVALUEOFQTOTHEREPRESENTATIVECONSUMERISEQUALTOMARKETPRICEBUTTHISISPRECISELYTHECOMPETITIVESUPPLYDEMANDEQUILIBRIUM,BECAUSETHEDEMANDCURVEREPRESENTSCONSUMERSMARGINALVALUATIONS,WHEREASTHESUPPLYCURVEREECTSMARGINALAND,INLONGTERMEQUILIBRIUM,AVERAGECOSTAPPLIEDWELFAREANALYSISTHECONCLUSIONTHATTHECOMPETITIVEEQUILIBRIUMMAXIMIZESTHESUMOFCONSUMERANDPRODUCERSURPLUSMIRRORSASERIESOFMOREGENERALECONOMICEFCIENCY“THEOREMS”WEWILLEXAMINEINCHAPTER17DESCRIBINGTHEMAJORCAVEATSTHATATTACHTOTHESETHEOREMSISBESTDELAYEDUNTILTHATMOREEXTENDEDDISCUSSIONHEREWEAREMOREINTERESTEDINSHOWINGHOWTHECOMPETITIVEMODELISUSEDTOEXAMINETHECONSEQUENCESOFCHANGINGECONOMICCONDITIONSONTHEWELFAREOFMARKETPARTICIPANTSUSUALLYSUCHWELFARECHANGESAREMEASUREDBYLOOKINGATCHANGESINCONSUMERANDPRODUCERSURPLUSCHAPTER15APPLIEDCOMPETITIVEANALYSIS403COMPETITIVEEQUILIBRIUMANDCONSUMER/PRODUCERSURPLUSATTHECOMPETITIVEEQUILIBRIUMQTHESUMOFCONSUMERSURPLUSSHADEDLIGHTERGRAYANDPRODUCERSURPLUSSHADEDDARKERISMAXIMIZEDFORANOUTPUTLEVELLESSTHANQ,SAY,Q1,THEREISADEADWEIGHTLOSSOFCONSUMERANDPRODUCERSURPLUSGIVENBYAREAFEGPRICEQUANTITYPERPERIOD0ABP1Q1P2PQFEGSDFIGURE151EXAMPLE151WELFARELOSSCOMPUTATIONSUSEOFCONSUMERANDPRODUCERSURPLUSNOTIONSMAKESPOSSIBLETHEEXPLICITCALCULATIONOFWELFARELOSSESFROMRESTRICTIONSONVOLUNTARYTRANSACTIONSINTHECASEOFLINEARDEMANDANDSUPPLYCURVES,THISCOMPUTATIONISESPECIALLYSIMPLEBECAUSETHEAREASOFLOSSAREFREQUENTLYTRIANGULARFOREXAMPLE,IFDEMANDISGIVENBYQDH1100510H11002P153ANDSUPPLYBYQSH11005PH110022,154MARKETEQUILIBRIUMOCCURSATTHEPOINTPH110056,QH110054RESTRICTIONOFOUTPUTTOQH33526H110053WOULDCREATEAGAPBETWEENWHATDEMANDERSAREWILLINGTOPAYPDH1100510H11002QH33526H110057ANDWHATSUPPLIERSREQUIREPSH110052H11001QH33526H110055THEWELFARELOSSFROMRESTRICTINGTRANSACTIONSISGIVENBYATRIANGLEWITHABASEOF2H11005PDH11002PSH110057H110025ANDAHEIGHTOF1THEDIFFERENCEBETWEENQANDQH33526HENCETHEWELFARELOSSISONEDOLLARIFPISMEASUREDINDOLLARSPERUNITANDQISMEASUREDINUNITSMOREGENERALLY,THELOSSWILLBEMEASUREDINTHEUNITSINWHICHPH11080QISMEASUREDCOMPUTATIONSWITHCONSTANTELASTICITYCURVESMOREREALISTICRESULTSCANUSUALLYBEOBTAINEDBYUSINGCONSTANTELASTICITYDEMANDANDSUPPLYCURVESBASEDONECONOMETRICSTUDIESINEXAMPLE143,WEEXAMINEDSUCHAMODELOFTHEUSAUTOMOBILEMARKETWECANSIMPLIFYTHATEXAMPLEABITBYASSUMINGPISMEASUREDINTHOUSANDSOFDOLLARS,QINMILLIONSOFAUTOMOBILES,ANDTHATDEMANDISGIVENBYQDH11005200PH1100212155ANDSUPPLYBYQSH1100513P156EQUILIBRIUMINTHEMARKETISGIVENBYPH11005987,QH11005128SUPPOSENOWTHATGOVERNMENTPOLICYRESTRICTSAUTOMOBILESALESTO11MILLIONTOCONTROLEMISSIONSOFPOLLUTANTSANAPPROXIMATIONTOTHEDIRECTWELFARELOSSFROMSUCHAPOLICYCANBEFOUNDBYTHETRIANGULARMETHODUSEDEARLIERWITHQH33526H1100511,PDH1100511/200H1100283H11005111,PSH1100511/13H11005846HENCE,THEWELFARELOSS“TRIANGLE”ISGIVENBY5PDH11002PSQH11002QH33526H110055111H11002846128H1100211H11005238HERETHEUNITSARETHOSEOFPTIMESQBILLIONSOFDOLLARSTHEAPPROXIMATE2VALUEOFTHEWELFARELOSSISTHEREFORE24BILLION,WHICHMIGHTBEWEIGHEDAGAINSTTHEEXPECTEDGAINFROMEMISSIONSCONTROLDISTRIBUTIONOFLOSSINTHEAUTOMOBILECASE,THEWELFARELOSSISSHAREDABOUTEQUALLYBYCONSUMERSANDPRODUCERSANAPPROXIMATIONFORCONSUMERSLOSSESISGIVENBY404PARTVPERFECTCOMPETITION2AMOREPRECISEESTIMATEOFTHELOSSCANBEOBTAINEDBYINTEGRATINGPDH11002PSOVERTHERANGEQH1100511TOQH11005128WITHEXPONENTIALDEMANDANDSUPPLYCURVES,THISINTEGRATIONISOFTENQUITESIMPLEINTHEPRESENTCASE,THETECHNIQUEYIELDSANESTIMATEDWELFARELOSSOF228,THEREBYSHOWINGTHATTHETRIANGULARAPPROXIMATIONISNOTTOOBAD,EVENFORRELATIVELYLARGEPRICECHANGESINLATERANALYSIS,THEREFORE,WEWILLUSESUCHAPPROXIMATIONS5PDH11002PQH11002QH33526H110055111H11002987128H1100211H11005111,ANDFORPRODUCERSBY5987H11002846128H1100211H11005127BECAUSETHEPRICEELASTICITYOFDEMANDISSOMEWHATGREATERINABSOLUTEVALUETHANTHEPRICEELASTICITYOFSUPPLY,CONSUMERSINCURSOMEWHATLESSTHANHALFTHELOSSANDPRODUCERSSOMEWHATMORETHANHALFWITHANEVENMOREPRICEELASTICDEMANDCURVE,CONSUMERSWOULDINCURANEVENSMALLERSHAREOFTHELOSSQUERYHOWDOESTHESIZEOFTHETOTALWELFARELOSSFROMAQUANTITYRESTRICTIONDEPENDONTHEELASTICITIESOFSUPPLYANDDEMANDWHATDETERMINESHOWTHELOSSWILLBESHAREDPRICECONTROLSANDSHORTAGESSOMETIMESGOVERNMENTSMAYSEEKTOCONTROLPRICESATBELOWEQUILIBRIUMLEVELSALTHOUGHADOPTIONOFSUCHPOLICIESMAYBEBASEDONNOBLEMOTIVES,THECONTROLSDETERLONGRUNSUPPLYRESPONSESANDCREATEWELFARELOSSESFORBOTHCONSUMERSANDPRODUCERSASIMPLEANALYSISOFTHISPOSSIBILITYISPROVIDEDBYFIGURE152INITIALLYTHEMARKETISINLONGRUNEQUILIBRIUMATP1,Q1POINTEANINCREASEINDEMANDFROMDTODH11032WOULDCAUSETHEPRICETORISETOP2INTHESHORTRUNANDENCOURAGEENTRYBYNEWRMSASSUMINGTHISMARKETISCHARACTERIZEDBYINCREASINGCOSTSASREECTEDBYTHEPOSITIVELYSLOPED,LONGRUNSUPPLYCURVE,LS,PRICEWOULDFALLSOMEWHATASARESULTOFTHISENTRY,ULTIMATELYSETTLINGATP3IFTHESEPRICECHANGESWEREREGARDEDASUNDESIRABLE,THEGOVERNMENTCOULD,INPRINCIPLE,PREVENTTHEMBYIMPOSINGALEGALLYENFORCEABLECEILINGPRICEOFP1THISWOULDCAUSERMSTOCONTINUETOSUPPLYTHEIRPREVIOUSOUTPUTQ1AND,BECAUSEATP1DEMANDERSNOWWANTTOPURCHASEQ4,THEREWILLBEASHORTAGE,GIVENBYQ4H11002Q1WELFAREEVALUATIONTHEWELFARECONSEQUENCESOFTHISPRICECONTROLPOLICYCANBEEVALUATEDBYCOMPARINGCONSUMERANDPRODUCERSURPLUSMEASURESPREVAILINGUNDERTHISPOLICYTOTHOSETHATWOULDHAVEPREVAILEDINTHEABSENCEOFCONTROLSFIRST,THEBUYERSOFQ1GAINCONSUMERSURPLUSGIVENBYAREAP3CEP1BECAUSETHEYCANBUYTHISGOODATALOWERPRICETHANWOULDEXISTINANUNCONTROLLEDMARKETTHISGAINREECTSAPURETRANSFERFROMPRODUCERSOUTOFTHEAMOUNTOFPRODUCERSURPLUSTHATWOULDEXISTWITHOUTCONTROLSWHATCURRENTCONSUMERSHAVEGAINEDFROMTHELOWERPRICE,PRODUCERSHAVELOSTALTHOUGHTHISTRANSFERDOESNOTREPRESENTALOSSOFOVERALLWELFARE,ITDOESCLEARLYAFFECTTHERELATIVEWELLBEINGOFTHEMARKETPARTICIPANTSSECOND,THEAREAAEH11032CREPRESENTSTHEVALUEOFADDITIONALCONSUMERSURPLUSTHATWOULDHAVEBEENATTAINEDWITHOUTCONTROLSSIMILARLY,THEAREACEH11032EREECTSADDITIONALPRODUCERSURPLUSAVAILABLEINTHEUNCONTROLLEDSITUATIONTOGETHER,THESETWOAREASTHATIS,AREAAEH11032EREPRESENTTHETOTALVALUEOFMUTUALLYBENECIALTRANSACTIONSTHATAREPREVENTEDBYTHEGOVERNMENTPOLICYOFCONTROLLINGPRICETHISIS,THEREFORE,AMEASUREOFTHEPUREWELFARECOSTSOFTHATPOLICYCHAPTER15APPLIEDCOMPETITIVEANALYSIS405DISEQUILIBRIUMBEHAVIORTHEWELFAREANALYSISDEPICTEDINFIGURE152ALSOSUGGESTSSOMEOFTHETYPESOFBEHAVIORTHATMIGHTBEEXPECTEDASARESULTOFTHEPRICECONTROLPOLICYASSUMINGTHATOBSERVEDMARKETOUTCOMESAREGENERATEDBYQP1H11005MINQDP1,QSP1,157SUPPLIERSWILLBECONTENTWITHTHISOUTCOME,BUTDEMANDERSWILLNOTBECAUSETHEYWILLBEFORCEDTOACCEPTASITUATIONOFEXCESSDEMANDTHEYHAVEANINCENTIVETOSIGNALTHEIRDISSATISFACTIONTOSUPPLIERSTHROUGHINCREASINGPRICEOFFERSSUCHOFFERSMAYNOTONLYTEMPTEXISTINGSUPPLIERSTOMAKEILLEGALTRANSACTIONSATHIGHERTHANALLOWEDPRICES,BUTMAYENCOURAGENEWENTRANTSTOMAKESUCHTRANSACTIONSITISTHISKINDOFACTIVITYTHATLEADSTOTHEPREVALENCEOFBLACKMARKETSINMOSTINSTANCESOFPRICECONTROLMODELINGTHERESULTINGTRANSACTIONSISDIFCULTFORTWOREASONSFIRST,THESEMAYINVOLVENONPRICETAKINGBEHAVIORBECAUSETHEPRICEOFEACHTRANSACTIONMUSTBEINDIVIDUALLYNEGOTIATEDRATHERTHANSETBY“THEMARKET”SECOND,NONEQUILIBRIUMTRANSACTIONSWILLOFTENINVOLVEIMPERFECTINFORMATIONBECAUSEANYPAIROFMARKETPARTICIPANTSWILLUSUALLYNOTKNOWWHATOTHERTRANSACTORSAREDOING,ALTHOUGHSUCHACTIONSMAYAFFECTTHEIRWELFAREBY406PARTVPERFECTCOMPETITIONPRICECONTROLSANDSHORTAGESASHIFTINDEMANDFROMDTODH11032WOULDRAISEPRICETOP2INTHESHORTRUNENTRYOVERTHELONGRUNWOULDYIELDANALEQUILIBRIUMOFP3,Q3CONTROLLINGTHEPRICEATP1WOULDPREVENTTHESEACTIONSANDYIELDASHORTAGEOFQ4H11002Q1RELATIVETOTHEUNCONTROLLEDSITUATION,THEPRICECONTROLYIELDSATRANSFERFROMPRODUCERSTOCONSUMERSAREAP3CEP1ANDADEADWEIGHTLOSSOFFOREGONETRANSACTIONSGIVENBYTHETWOAREASAEH11032CANDCEH11032EPRICEQUANTITYPERPERIODP1P2P3Q1Q4Q3EH11032DH11032ASSCEDLSFIGURE152CHANGINGTHEOPTIONSAVAILABLESOMEPROGRESSHASBEENMADEMODELINGSUCHDISEQUILIBRIUMBEHAVIORUSINGGAMETHEORYTECHNIQUESSEECHAPTERS10AND20HOWEVER,OTHERTHANTHEOBVIOUSPREDICTIONTHATTRANSACTIONSWILLOCCURATPRICESABOVETHEPRICECEILING,NOVERYGENERALLYRESULTSHAVEBEENOBTAINED3THETYPESOFBLACKMARKETTRANSACTIONSUNDERTAKENWILLDEPENDONTHESPECICINSTITUTIONALDETAILSOFTHESITUATIONTAXINCIDENCEANALYSISTHEPARTIALEQUILIBRIUMMODELOFCOMPETITIVEMARKETSHASALSOBEENWIDELYUSEDTOSTUDYTHEIMPACTOFTAXESALTHOUGH,ASWEWILLPOINTOUT,THESEAPPLICATIONSARENECESSARILYLIMITEDBYTHEIRINABILITYTOANALYZETAXEFFECTSTHATSPREADTHROUGHMANYMARKETS,THEYDOPROVIDEIMPORTANTINSIGHTSONANUMBEROFISSUESAMATHEMATICALMODELTHEEFFECTSOFTAXESCANBEMOSTEASILYSTUDIEDUSINGTHEMATHEMATICALMODELOFSUPPLYANDDEMANDTHATWASINTRODUCEDINCHAPTER14NOW,HOWEVER,WENEEDTOMAKEADISTINCTIONBETWEENTHEPRICEPAIDBYDEMANDERSPDANDTHEPRICERECEIVEDBYSUPPLIERSPS,BECAUSEAPERUNITTAXTINTRODUCESA“WEDGE”BETWEENTHESETWOMAGNITUDESOFTHEFORMPDH11002PSH11005T158OR,INTERMSOFTHESMALLPRICECHANGESWEWISHTOEXAMINE,DPDH11002DPSH11005DT159MAINTENANCEOFEQUILIBRIUMINTHEMARKETREQUIRESDQDH11005DQS,ORDPDPDH11005SPDPS,1510WHEREDP,SPARETHEPRICEDERIVATIVESOFTHEDEMANDANDSUPPLYFUNCTIONS,RESPECTIVELYWECANUSEEQUATIONS159AND1510TOSOLVEFORTHEEFFECTOFTHETAXONPDDPDPDH11005SPDPSH11005SPDPDH11002DT1511HENCEH11005H11005,1512ESH5007ESH11002EDSPH5007SPH11002DPDPDH5007DTCHAPTER15APPLIEDCOMPETITIVEANALYSIS4073SEEJBNASSY,“NONCLEARINGMARKETSMICROECONOMICCONCEPTSANDMACROECONOMICAPPLICATIONS,”JOURNALOFECONOMICLITERATUREJUNE1993732761WHEREESANDEDREPRESENTTHEPRICEELASTICITIESOFSUPPLYANDDEMAND,RESPECTIVELY,ANDTHENALEQUATIONISDERIVEDBYMULTIPLYINGNUMERATORANDDENOMINATORBYP/QASIMILARSETOFMANIPULATIONSFORTHECHANGEINSUPPLYPRICEGIVESH110051513BECAUSEEDH113490,ESH113500,THESECALCULATIONSPROVIDETHEOBVIOUSRESULTSH1135001514H113490IFEDH110050DEMANDISPERFECTLYINELASTIC,DPD/DTH110051ANDTHEPERUNITTAXISCOMPLETELYPAIDBYDEMANDERSALTERNATIVELY,IFEDH11005H11002H11009,DPS/DTH11005H110021ANDTHETAXISWHOLLYPAIDBYPRODUCERSMOREGENERALLY,DIVIDINGEQUATION1513BYEQUATION1512YIELDSH11002H11005H11002,1515WHICHSHOWSTHATTHEACTORWITHTHELESSELASTICRESPONSESINABSOLUTEVALUEWILLEXPERIENCEMOSTOFTHEPRICECHANGEOCCASIONEDBYTHETAXAWELFAREANALYSISFIGURE153PERMITSASIMPLIEDWELFAREANALYSISOFTHETAXINCIDENCEISSUEIMPOSITIONOFTHEUNITTAX,T,CREATESAVERTICALWEDGEBETWEENTHESUPPLYANDDEMANDCURVES,ANDQUANTITYTRADEDDECLINESTOQDEMANDERSINCURALOSSOFCONSUMERSURPLUSGIVENBYAREAPDFEP,OFWHICHPDFHPISTRANSFERREDTOTHEGOVERNMENTASAPORTIONOFTOTALTAXREVENUESTHEBALANCEOFTOTALTAXREVENUESPHGPSISPAIDBYPRODUCERS,WHOINCURATOTALLOSSOFPRODUCERSURPLUSGIVENBYAREAPEGPSNOTICETHATTHEREDUCTIONINCOMBINEDCONSUMERANDPRODUCERSURPLUSEXCEEDSTOTALTAXREVENUESCOLLECTEDBYAREAFEGTHISAREAREPRESENTSA“DEADWEIGHT”LOSSTHATARISESBECAUSESOMEMUTUALLYBENECIALTRANSACTIONSAREDISCOURAGEDBYTHETAXINGENERAL,THESIZESOFALLOFTHEVARIOUSAREASILLUSTRATEDINFIGURE153WILLBEAFFECTEDBYTHEPRICEELASTICITIESINVOLVEDTODETERMINETHENALINCIDENCEOFTHEPRODUCERSSHAREOFTHETAXWOULDREQUIREANEXPLICITANALYSISOFINPUTMARKETSTHEBURDENOFTHETAXWOULDBEREECTEDINREDUCEDRENTSFORTHOSEINPUTSCHARACTERIZEDBYRELATIVELYINELASTICSUPPLYDEADWEIGHTLOSSANDELASTICITYALLNONLUMPSUMTAXESINVOLVEDEADWEIGHTLOSSESBECAUSETHEYALTERTHEBEHAVIOROFECONOMICACTORSTHESIZEOFSUCHLOSSESWILLDEPENDINARATHERCOMPLEXWAYONTHEELASTICITIESOFDEMANDANDSUPPLYINTHEMARKETALINEARAPPROXIMATIONTOTHEDEADWEIGHTLOSSACCOMPANYINGASMALLTAX,DT,ISGIVENBYDWH11005H110025DTDQ1516EDH5007ESDPS/DTH5007DPD/DTDPSH5007DTDPDH5007DTEDH5007ESH11002EDDPSH5007DT408PARTVPERFECTCOMPETITIONBUTFROMTHEDENITIONOFELASTICITY,WEKNOWDQH11005EDDPDH11080Q0/P0,1517WHEREQ0ANDP0ARETHEPRETAXVALUESFORQUANTITYANDPRICE,RESPECTIVELYCOMBININGEQUATIONS1517AND1512YIELDSDQH11005EDES/ESH11002EDDTQ0/P0,1518ANDSUBSTITUTIONINTOEQUATION1516PROVIDESANALEXPRESSIONFORTHELOSSDWH11005H110025H20898H208992EDES/ESH11002EDP0Q01519CLEARLY,DEADWEIGHTLOSSESAREZEROINCASESINWHICHEITHEREDORESISZEROBECAUSETHENTHETAXDOESNOTALTERTHEQUANTITYOFTHEGOODTRADEDMOREGENERALLY,DEADWEIGHTLOSSESARESMALLERINSITUATIONSWHEREEDORESISSMALLINPRINCIPLE,EQUATION1519CANBEUSEDTOEVALUATETHEDEADWEIGHTLOSSESACCOMPANYINGANYCOMPLEXTAXSYSTEMTHISINFORMATIONMIGHTPROVIDESOMEINSIGHTSONHOWATAXSYSTEMCOULDBEDESIGNEDTOMINIMIZETHEOVERALL“EXCESSBURDEN”INVOLVEDINCOLLECTINGANEEDEDAMOUNTOFTAXREVENUESDTH5007P0CHAPTER15APPLIEDCOMPETITIVEANALYSIS409TAXINCIDENCEANALYSISIMPOSITIONOFASPECICTAXOFAMOUNTTPERUNITCREATESA“WEDGE”BETWEENTHEPRICECONSUMERSPAYPDANDWHATSUPPLIERSRECEIVEPSTHEEXTENTTOWHICHCONSUMERSORPRODUCERSPAYTHETAXDEPENDSONTHEPRICEELASTICITIESOFDEMANDANDSUPPLYPRICEPDPSPQQFGSSEDDOUTPUTPERPERIODHTFIGURE153EXAMPLE152THEDEADWEIGHTLOSSFROMTAXESINEXAMPLE151WEEXAMINEDTHELOSSOFCONSUMERANDPRODUCERSURPLUSTHATWOULDOCCURIFAUTOMOBILESALESWERECUTFROMTHEIREQUILIBRIUMLEVELOF128MILLIONTO11MILLIONANAUTOTAXOF2,640IE,264THOUSANDDOLLARSWOULDACCOMPLISHTHISREDUCTIONBECAUSEITWOULDINTRODUCEEXACTLYTHEWEDGEBETWEENDEMANDANDSUPPLYPRICETHATWASCALCULATEDPREVIOUSLYBECAUSEWEHAVEASSUMEDEDH11005H1100212ANDESH1100510INEXAMPLE151,ANDINITIALSPENDINGONAUTOMOBILESISAPPROXIMATELY126BILLION,EQUATION1519PREDICTSTHATTHEDEADWEIGHTLOSSFROMTHEAUTOTAXWOULDBEDWH110055H20898H20899212/22126H110052461520THISLOSSOF246BILLIONDOLLARSISAPPROXIMATELYTHESAMEASTHELOSSFROMEMISSIONSCONTROLCALCULATEDINEXAMPLE151ITMIGHTBECONTRASTEDTOTOTALTAXCOLLECTIONS,WHICHINTHISCASEAMOUNTTO29BILLION2,640PERAUTOMOBILETIMES11MILLIONAUTOMOBILESINTHEPOSTTAXEQUILIBRIUMHERE,THEDEADWEIGHTLOSSEQUALSAPPROXIMATELY8PERCENTOFTOTALTAXREVENUESCOLLECTEDMARGINALBURDENANINCREMENTALINCREASEINTHEAUTOTAXWOULDBERELATIVELYMORECOSTLYINTERMSOFDEADWEIGHTLOSSESSUPPOSETHEGOVERNMENTDECIDEDTOROUNDTHEAUTOTAXUPWARDTOAAT3,000PERCARINTHISCASE,CARSALESWOULDDROPTOAPPROXIMATELY107MILLIONTAXCOLLECTIONSWOULDAMOUNTTO321BILLION,ANINCREASEOF31BILLIONOVERWHATWASCOMPUTEDPREVIOUSLYEQUATION1520CANBEUSEDTOSHOWTHATDEADWEIGHTLOSSESNOWAMOUNTTO317BILLIONANINCREASEOF071BILLIONABOVETHELOSSESEXPERIENCEDWITHTHELOWERTAXATTHEMARGINTHEN,ADDITIONALDEADWEIGHTLOSSESAMOUNTTOABOUT23PERCENTH1100572/31OFADDITIONALREVENUESCOLLECTEDHENCEMARGINALANDAVERAGEEXCESSBURDENCOMPUTATIONSMAYDIFFERSIGNICANTLYQUERYCANYOUEXPLAININTUITIVELYWHYTHEMARGINALBURDENOFATAXEXCEEDSITSAVERAGEBURDENUNDERWHATCONDITIONSWOULDTHEMARGINALEXCESSBURDENOFATAXEXCEEDADDITIONALTAXREVENUESCOLLECTEDTRANSACTIONCOSTSALTHOUGHWEHAVEDEVELOPEDTHISDISCUSSIONINTERMSOFTAXINCIDENCETHEORY,MODELSINCORPORATINGAWEDGEBETWEENBUYERSANDSELLERSPRICESHAVEANUMBEROFOTHERAPPLICATIONSINECONOMICSPERHAPSTHEMOSTIMPORTANTOFTHESECONCERNCOSTSASSOCIATEDWITHMAKINGMARKETTRANSACTIONSINSOMECASESTHESECOSTSMAYBEEXPLICITMOSTREALESTATETRANSACTIONS,FOREXAMPLE,TAKEPLACETHROUGHATHIRDPARTYBROKER,WHOCHARGESAFEEFORTHESERVICEOFBRINGINGBUYERANDSELLERTOGETHERSIMILAREXPLICITTRANSACTIONFEESOCCURINTHETRADINGOFSTOCKSANDBONDS,BOATSANDAIRPLANES,ANDPRACTICALLYEVERYTHINGTHATISSOLIDATAUCTIONINALLOFTHESEINSTANCES,BUYERSANDSELLERSAR

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