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时间:2020-03-26
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1、ChapterSixDemand需求函数的静态比较分析WhatDoWeDoinThisChapter?Weconductcomparativestaticsanalysisofordinarydemandfunctions--thestudyofhowordinarydemandsx1*(p1,p2,y)andx2*(p1,p2,y)changeaspricesp1,p2andincomeychange.Theoretically,nothingnew.Own-PriceChangesHowdoesx1*(p1,p2,y)changeasp1changes,holdingp2
2、andyconstant?Supposeonlyp1increases,fromp1’top1’’andthentop1’’’.x1*(p1’’’)x1*(p1’)x1*(p1’’)p1x1*(p1’)x1*(p1’’’)x1*(p1’’)p1’p1’’p1’’’x1*Own-PriceChangesOrdinarydemandcurveforcommodity1Fixedp2andy.x1*(p1’’’)x1*(p1’)x1*(p1’’)p1x1*(p1’)x1*(p1’’’)x1*(p1’’)p1’p1’’p1’’’x1*Own-PriceChangesOrdinar
3、ydemandcurveforcommodity1p1priceoffercurveFixedp2andy.Own-PriceChangesThecurvecontainingalltheutility-maximizingbundlestracedoutasp1changes,withp2andyconstant,isthep1-priceoffercurve.Theplotofthex1-coordinateofthep1-priceoffercurveagainstp1istheordinarydemandcurveforcommodity1.TheCaseof
4、Cobb-DouglasUtilityFunctionTakeThentheordinarydemandfunctionsforcommodities1and2areOwn-PriceChangesandNoticethatx2*doesnotvarywithp1sothep1priceoffercurveisflatandtheordinarydemandcurveforcommodity1isarectangularhyperbola.x1*(p1’’’)x1*(p1’)x1*(p1’’)Own-PriceChangesFixedp2andy.x1*(p1’’’
5、)x1*(p1’)x1*(p1’’)p1x1*Own-PriceChangesOrdinarydemandcurveforcommodity1isFixedp2andy.TheCaseofPerfect-ComplementsUtilityFunctionWhatdoesap1price-offercurvelooklikeforaperfect-complementsutilityfunction?Thentheordinarydemandfunctionsforcommodities1and2areTheCaseofPerfect-ComplementsUtili
6、tyFunctionOwn-PriceChangesWithp2andyfixed,higherp1causessmallerx1*andx2*.AsAsp1x1*Ordinarydemandcurveforcommodity1isFixedp2andy.Own-PriceChangesx1x2p1’p1’’p1’’’y/p2TheCaseofPerfect-SubstitutesUtilityFunctionThentheordinarydemandfunctionsforcommodities1and2areandFixedp2andy.Own-PriceCha
7、ngesx2x1p1x1*Fixedp2andy.p1’p2=p1’’p1’’’p1priceoffercurveOrdinarydemandcurveforcommodity1Own-PriceChangesUsuallyweask“Giventhepriceforcommodity1whatisthequantitydemandedofcommodity1?”Butwecouldalsoasktheinversequestion“Atwhatpriceforcommodity1wouldagi
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