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ChapterOneTheMarket---AppreciatingEconomicModelingChapterOne1ThePurposeofthisChapterTobegintounderstandtheartofbuildinganeconomicmodelTobegintounderstandthreebasicelementsofmodelingineconomics:PurposeSimplificationthroughassumptionsValuejudgmentThePurposeofthisChapterTo2ThePurposeofanEconomicModel
Thepurposeofaneconomicmodelistohelpprovidepreciseinsights(精确的洞察力)onaspecificeconomicphenomenon.Thus:Differentphenomenaneedsdifferentmodel;SimplificationbyassumptionisnecessaryThePurposeofanEconomicMod3AnIllustration:ModelingtheApartmentMarketPurpose:Howareapartmentrentsdetermined?Arerents“desirable”?Simplifyingassumptions:apartmentsarecloseordistant,butotherwiseidenticaldistantapartmentsrentsareexogenous(外生变量)andknownmanypotentialrentersandlandlordsAnIllustration:Modelingthe4TwoVeryCommonModelingAssumptionsRationalChoice(理性选择):Eachpersontriestochoosethebestalternativeavailabletohimorher.Equilibrium(均衡):economicagentsinteractwitheachother,resultinginanequilibrium,inwhicheachpersonreachesanoptimaldecisiongivenothers’decisions.TwoVeryCommonModelingAssum5ModelingApartmentDemandDemand:Supposethemostanyonepersoniswillingtopaytorentacloseapartmentis$500/month.Then p=$500QD=1.Supposethepricehastodropto$490beforea2ndpersonwouldrent.Then p=$490QD=2.ModelingApartmentDemandDeman6ModelingApartmentDemandTheloweristherentalratep,thelargeristhequantityofcloseapartmentsdemanded
pQD
.Thequantitydemandedvs.pricegraphisthemarketdemandcurveforcloseapartments.ModelingApartmentDemandThel7MarketDemandCurveforApartmentspQDMarketDemandCurveforApartm8ModelingApartmentSupplySupply:Ittakestimetobuildmorecloseapartmentssointhisshort-runthequantityavailableisfixed(atsay100).ModelingApartmentSupplySuppl9MarketSupplyCurveforApartmentspQS100MarketSupplyCurveforApartm10CompetitiveMarketEquilibrium
(竞争性市场均衡)Quantitydemanded=quantityavailable
pricewillneitherrisenorfallsothemarketisatacompetitiveequilibrium.CompetitiveMarketEquilibrium11CompetitiveMarketEquilibriumpQD,QSpe100Peoplewillingtopaypeforcloseapartmentsgetcloseapartments.Peoplenotwillingtopay
peforcloseapartments
getdistantapartments.CompetitiveMarketEquilibrium12ComparativeStatics
(静态比较分析)Whatisexogenousinthemodel?priceofdistantapartmentsquantityofcloseapartmentsincomesofpotentialrenters.Whathappensiftheseexogenousvariableschange?Note:Wearenotanalyzingthetransitionprocessordynamicprocess.ComparativeStatics
(静态比较分析)Wh13ComparativeStaticsSupposethepriceofdistantapartmentrises.Demandforcloseapartmentsincreases(rightwardshift),causingAhigherpriceforcloseapartments.ComparativeStaticsSupposethe14MarketEquilibriumpQD,QSpe100Higherdemandcauseshigher
marketprice;samequantity
traded.MarketEquilibriumpQD,QSpe100H15MoreComparativeStatics
(DoThemYourself)Supposethereweremorecloseapartments.Or,renters’incomerises;MoreComparativeStatics
(Do16ElaborationoftheBasicModel:TaxationPolicyAnalysisLocalgovernmenttaxesapartmentowners.Whathappenstopricequantityofcloseapartmentsrented?Isanyofthetax“passed”torenters?ElaborationoftheBasicMo17TaxationPolicyAnalysisMarketsupplyisunaffected.Marketdemandisunaffected.Sothecompetitivemarketequilibriumisunaffectedbythetax.Priceandthequantityofcloseapartmentsrentedarenotchanged.Landlordspayallofthetax.TaxationPolicyAnalysisMarket18ImperfectlyCompetitiveMarket
Case1:AMonopolisticLandlordLandlordsetsarentalpricepherentsD(p)apartments.Revenue=pD(p).HechoosesptomaximizespD(p),subjecttoD(p)<=S(totalnumberofapartmentsinhishands)Typically,hisoptimalpissuchthat D(p)<S,thatis,therearevacantapartments.ImperfectlyCompetitiveMarke19MonopolisticMarketEquilibriumpQD,QSMiddle
priceMiddleprice,mediumquantity
demanded,largerrevenue.
Monopolistdoesnotrentallthe
closeapartments.100Vacantcloseapartments.MonopolisticMarketEquilibriu20ImperfectlyCompetitiveMarketCase2:PerfectlyDiscriminatoryMonopolisticLandlordImaginethemonopolistknewwillingness-to-payofeverybody,Charge$500tothemostwilling-to-pay,charge$490tothe2ndmostwilling-to-pay,etc.ImperfectlyCompetitiveMarke21DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$5001DiscriminatoryMonopolisticMa22DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012DiscriminatoryMonopolisticMa23DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012p3=$4753DiscriminatoryMonopolisticMa24DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012p3=$4753DiscriminatoryMonopolisticMa25DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012p3=$4753peDiscriminatorymonopolist
chargesthecompetitivemarket
pricetothelastrenter,and
rentsthecompetitivequantity
ofcloseapartments.DiscriminatoryMonopolisticMa26RentControl
(房租管制)Localgovernmentimposesamaximumlegalprice,pmax<pe,thecompetitiveprice.RentControl
(房租管制)Localgover27MarketEquilibriumpQD,QSpe100pmaxExcessdemandThe100closeapartmentsarenolongerallocatedby
willingness-to-pay(lottery,lines,
largefamiliesfirst?).MarketEquilibriumpQD,QSpe100p28ValueJudgement
(价值判断)Whichofthefollowingisbetter?RentcontrolPerfectcompetitionMonopolyDiscriminatorymonopolyBut,whatdoyoumeanby“better”?ValueJudgement
(价值判断)Whicho29ParetoEfficiency
(帕累托效率)VilfredoPareto;1848-1923.AParetooutcomeallowsno“wastedwelfare”;i.e.theonlywayoneperson’swelfarecanbeimprovedistoloweranotherperson’swelfare.ParetoEfficiency
(帕累托效率)Vilfr30ParetoEfficiencyAParetoinefficientoutcomemeansthereremainunrealizedmutualgains-to-trade.Anymarketoutcomethatachievesallpossiblegains-to-trademustbeParetoefficient.ParetoEfficiencyAParetoinef31ParetoEfficiencyCompetitiveequilibrium:allcloseapartmentrentersvaluethematthemarketpricepeormoreallothersvaluecloseapartmentsatlessthanpesonomutuallybeneficialtradesremainsotheoutcomeisParetoefficient.ParetoEfficiencyCompetitivee32ParetoEfficiencyDiscriminatoryMonopoly:assignmentofapartmentsisthesameaswiththeperfectlycompetitivemarketsothediscriminatorymonopolyoutcomeisalsoParetoefficient.ParetoEfficiencyDiscriminator33ParetoEfficiencyMonopoly:notallapartmentsareoccupiedsoadistantapartmentrentercouldbeassignedacloseapartmentandhavehigherwelfarewithoutloweringanybodyelse’swelfare.sothemonopolyoutcomeisParetoinefficient.ParetoEfficiencyMonopoly:34ParetoEfficiencyRentControl:somecloseapartmentsareassignedtorentersvaluingthematbelowthecompetitivepricepesomerentersvaluingacloseapartmentabovepedon’tgetcloseapartmentsParetoinefficientoutcome.ParetoEfficiencyRentControl:35FurtherExtensionsoftheModelOvertime,willthesupplyofcloseapartmentsincrease?rentcontroldecreasethesupplyofapartments?amonopolistsupplymoreapartmentsthanacompetitiverentalmarket?FurtherExtensionsoftheMod36AQuickSummaryEconomicmodelingservesaspecificpurpose;Forthepurpose,aneconomicmodelneedstomakesimplifyingassumptions;Economistsdohavevaluejudgments,whicharebasedonspecifiedcriterion.AQuickSummaryEconomicmodeli37ChapterOneTheMarket---AppreciatingEconomicModelingChapterOne38ThePurposeofthisChapterTobegintounderstandtheartofbuildinganeconomicmodelTobegintounderstandthreebasicelementsofmodelingineconomics:PurposeSimplificationthroughassumptionsValuejudgmentThePurposeofthisChapterTo39ThePurposeofanEconomicModel
Thepurposeofaneconomicmodelistohelpprovidepreciseinsights(精确的洞察力)onaspecificeconomicphenomenon.Thus:Differentphenomenaneedsdifferentmodel;SimplificationbyassumptionisnecessaryThePurposeofanEconomicMod40AnIllustration:ModelingtheApartmentMarketPurpose:Howareapartmentrentsdetermined?Arerents“desirable”?Simplifyingassumptions:apartmentsarecloseordistant,butotherwiseidenticaldistantapartmentsrentsareexogenous(外生变量)andknownmanypotentialrentersandlandlordsAnIllustration:Modelingthe41TwoVeryCommonModelingAssumptionsRationalChoice(理性选择):Eachpersontriestochoosethebestalternativeavailabletohimorher.Equilibrium(均衡):economicagentsinteractwitheachother,resultinginanequilibrium,inwhicheachpersonreachesanoptimaldecisiongivenothers’decisions.TwoVeryCommonModelingAssum42ModelingApartmentDemandDemand:Supposethemostanyonepersoniswillingtopaytorentacloseapartmentis$500/month.Then p=$500QD=1.Supposethepricehastodropto$490beforea2ndpersonwouldrent.Then p=$490QD=2.ModelingApartmentDemandDeman43ModelingApartmentDemandTheloweristherentalratep,thelargeristhequantityofcloseapartmentsdemanded
pQD
.Thequantitydemandedvs.pricegraphisthemarketdemandcurveforcloseapartments.ModelingApartmentDemandThel44MarketDemandCurveforApartmentspQDMarketDemandCurveforApartm45ModelingApartmentSupplySupply:Ittakestimetobuildmorecloseapartmentssointhisshort-runthequantityavailableisfixed(atsay100).ModelingApartmentSupplySuppl46MarketSupplyCurveforApartmentspQS100MarketSupplyCurveforApartm47CompetitiveMarketEquilibrium
(竞争性市场均衡)Quantitydemanded=quantityavailable
pricewillneitherrisenorfallsothemarketisatacompetitiveequilibrium.CompetitiveMarketEquilibrium48CompetitiveMarketEquilibriumpQD,QSpe100Peoplewillingtopaypeforcloseapartmentsgetcloseapartments.Peoplenotwillingtopay
peforcloseapartments
getdistantapartments.CompetitiveMarketEquilibrium49ComparativeStatics
(静态比较分析)Whatisexogenousinthemodel?priceofdistantapartmentsquantityofcloseapartmentsincomesofpotentialrenters.Whathappensiftheseexogenousvariableschange?Note:Wearenotanalyzingthetransitionprocessordynamicprocess.ComparativeStatics
(静态比较分析)Wh50ComparativeStaticsSupposethepriceofdistantapartmentrises.Demandforcloseapartmentsincreases(rightwardshift),causingAhigherpriceforcloseapartments.ComparativeStaticsSupposethe51MarketEquilibriumpQD,QSpe100Higherdemandcauseshigher
marketprice;samequantity
traded.MarketEquilibriumpQD,QSpe100H52MoreComparativeStatics
(DoThemYourself)Supposethereweremorecloseapartments.Or,renters’incomerises;MoreComparativeStatics
(Do53ElaborationoftheBasicModel:TaxationPolicyAnalysisLocalgovernmenttaxesapartmentowners.Whathappenstopricequantityofcloseapartmentsrented?Isanyofthetax“passed”torenters?ElaborationoftheBasicMo54TaxationPolicyAnalysisMarketsupplyisunaffected.Marketdemandisunaffected.Sothecompetitivemarketequilibriumisunaffectedbythetax.Priceandthequantityofcloseapartmentsrentedarenotchanged.Landlordspayallofthetax.TaxationPolicyAnalysisMarket55ImperfectlyCompetitiveMarket
Case1:AMonopolisticLandlordLandlordsetsarentalpricepherentsD(p)apartments.Revenue=pD(p).HechoosesptomaximizespD(p),subjecttoD(p)<=S(totalnumberofapartmentsinhishands)Typically,hisoptimalpissuchthat D(p)<S,thatis,therearevacantapartments.ImperfectlyCompetitiveMarke56MonopolisticMarketEquilibriumpQD,QSMiddle
priceMiddleprice,mediumquantity
demanded,largerrevenue.
Monopolistdoesnotrentallthe
closeapartments.100Vacantcloseapartments.MonopolisticMarketEquilibriu57ImperfectlyCompetitiveMarketCase2:PerfectlyDiscriminatoryMonopolisticLandlordImaginethemonopolistknewwillingness-to-payofeverybody,Charge$500tothemostwilling-to-pay,charge$490tothe2ndmostwilling-to-pay,etc.ImperfectlyCompetitiveMarke58DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$5001DiscriminatoryMonopolisticMa59DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012DiscriminatoryMonopolisticMa60DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012p3=$4753DiscriminatoryMonopolisticMa61DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012p3=$4753DiscriminatoryMonopolisticMa62DiscriminatoryMonopolisticMarketEquilibriumpQD,QS100p1=$500p2=$49012p3=$4753peDiscriminatorymonopolist
chargesthecompetitivemarket
pricetothelastrenter,and
rentsthecompetitivequantity
ofcloseapartments.DiscriminatoryMonopolisticMa63RentControl
(房租管制)Localgovernmentimposesamaximumlegalprice,pmax<pe,thecompetitiveprice.RentControl
(房租管制)Localgover64MarketEquilibriumpQD,QSpe100pmaxExcessdemandThe100closeapartmentsarenolongerallocatedby
willingness-to-pay(lottery,lines,
largefamiliesfirst?).MarketEquilibriumpQD,QSpe100p65ValueJudgement
(价值判断)Whichofthefollowingisbetter?RentcontrolPerfectcompetitionMonopolyDiscriminatorymonopolyBut,whatdoyoumeanby“better”?ValueJudgement
(价值判断)Whicho66ParetoEfficiency
(帕累托效率)VilfredoPareto;1848-1923.AParetooutcomeallowsno“wastedwelfare”;i.e.theonlywayoneperson’swelfarecanbeimprovedistoloweranotherperson’swelfare.ParetoEfficiency
(帕累托效率)Vilfr67ParetoEfficiencyAParetoinefficientoutcomemeansthereremainunrealizedmutualgains-to-trade.Anymarketoutcomethatachieves
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