资源描述：
《高级微观经济学公式总结Calculationmethodsandexamples.pdf》由会员上传分享，免费在线阅读，更多相关内容在应用文档-天天文库。
1、⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯精品资料推荐⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯UtilitycalculationmethodsNotationCalculationmethods1.minv(p,m)Utilityst:piximU(x)functionppi12.v(,1),whereDi(x,1)mm1.maxU(x)st:pxmiiIndirectutilityv(p,m)function2.U(D(p,m))3.theinversefunctionofe(p,u)n1.i1pihi(p,u)Expendituree
2、(p,u)function2.theinversefunctionofv(p,m)1.e(p,v(q,m))MoneymetricIndirectutilityu(p,q,m)u(p,q,m)2.xi(p,u(p,q,m)),i1,2...nfunctionpiu(q,q,m)m1.maxU(x)st:piximv(p,m)v(p,m)Mashallian2.xi/pimdemandxiDi(pm)functionmv(p,m)nv(p,m)3.xi/i1pipipi4.xihi(p,e(p,u))1.minv(p,m)st:piximInv
3、erse1demandpiDi(xm)u(xm)nv(x,m)2.pim/i1xifunctionxixi3.TheinversefunctionsofxD(p,m)1⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯精品资料推荐⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯1.min{pixi}st:U(x)uHicksiandemandxihi(pu)e(p,u)2.xifunctionpi3.xiDi(p,e(p,u))CobbDouglasutilityfunctionFormulaFormulaUtility1Mashallianm(1)mUA
4、xyx,yfunctiondemandfunctionpxpy1IndirectutilityA(1)mInversedemandm(1)mu1px,pyfunctionpxpyfunctionxypy1ux[]1ExpenditurepxpyuHicksiandemand(1)pxAe1functionA(1)function(1)pxuy[]pyAMoneymetric1pxpymIndirectutilityu1qxqyfunctionLeontiefutilityfunctionFormulaFormulaUtilityMashall
5、ianmUmin{x,y}xyfunctiondemandfunctionpxpympx,py0xyxIndirectutilitymInversedemandmupxpyxyfunctionpxpyfunctionxmpx0,pyxyyExpenditureHicksiandemande(pxpy)uxyufunctionfunctionMoneymetric(pxpy)mIndirectutilityu(qxqy)function2⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯精品资料推荐⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯Linear
6、utilityfunctionFormulaFormulamx,y0pxpypxMashallianUtilitymUxydemandxypxpyfunctionpxfunctionmx0,ypxpypympxpxx0,y0xyIndirectutilitymInversedemandmupxpyx0,y0functionmin{px,py}functionympypxx0,y0xHicksianxu,y0pxpyExpenditureemin{px,py}udemandxyu,pxpyfunctionfunctionx0,yupxpyMon
7、eymetricmin{px,py}mIndirectutilityumin{qx,qy}functionCESutilityfunctionFormulaFormula111m()1/UtilityU(xi)Mashallianpixifunction1demandfunctionn11[()]j1pj11Indirectutilityn11Inversedemandmxium[j1()]pinfunctionpjfunctionj1xj111uu()eExpenditure1Hicksiandemandpin11xi1function[j
8、1()]functionn11pj[j1()]pj1n11Moneymetricm[j1()]qjIndirectutilityu1n11function[j1()
