高级微观经济学公式总结Calculationmethodsandexamples.docx

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4、DouglasutilityfunctionFormulaFormulaUtilityUAxy1Mashallianxm,y(1)mfunctiondemandfunctionpxpyIndirectutilityA(1)1mInversedemandpxm(1)mfunctionupxp1yfunction,pyyxxpy1uExpenditurepxp1yuHicksiandemand[)px]e(1Afunction(1)1function(1)pxuAy][ApyMoneymetric1mInd

5、irectutilityupxpyqxq1yfunctionLeontiefutilityfunctionFormulaFormulaUtilityUmin{x,y}Mashallianxympyfunctiondemandfunctionpxpxm,py0xyxIndirectutilityumInversedemandpxpymxyfunctionpxpyfunctionxpxmxy0,pyyExpendituree(pxpy)uHicksiandemandxyufunctionfunctionMo

6、neymetricu(pxpy)mIndirectutility(qxqy)function2⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯精品料推荐⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯LinearutilityfunctionFormulaFormulaxm0pxpy,yMashallianpxUtilityxympxpyUxydemandfunctionpxfunctionmx0,ypxpypypxpxmx0,y0xyIndirectutilityumInversedemandpxpymx0,y0

7、min{px,py}yfunctionfunctionpypxmx0,y0xExpenditureHicksianxu,y0pxpyemin{px,py}uxyu,pxpydemandfunctionfunctionx0,yupxpyMoneymetricumin{px,py}mIndirectutilitymin{qx,qy}functionCESutilityfunctionFormulaFormula1UtilityU(xi)1/Mashallianm(1)1xipifunction1demand

8、function1(1)1[nj]pjIndirectutility11Inversedemandmxi1um[n)1]pifunctionj1(functionnpjj1xj1ExpenditureeuHicksiandemandxu(1)111pifunction[n1()1]functioni1(1)1]1jpj[njpj(1)11Moneymetricm[nj1]Indirectutilityuqj11functionn1[j1(p