关于 效用函数的一个问题 即证明U=U(X1,X2)(已知效用函数连续可导)即证明U=U(X1,X2)(已知效用函数连续可导)试证明:U11 *(U2 )^2- 2* U1* U2* U12 + (U1 )^2 * U22(效用最大化的二阶

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关于 效用函数的一个问题 即证明U=U(X1,X2)(已知效用函数连续可导)即证明U=U(X1,X2)(已知效用函数连续可导)试证明:U11 *(U2 )^2- 2* U1* U2* U12 + (U1 )^2 * U22(效用最大化的二阶

关于 效用函数的一个问题 即证明U=U(X1,X2)(已知效用函数连续可导)即证明U=U(X1,X2)(已知效用函数连续可导)试证明:U11 *(U2 )^2- 2* U1* U2* U12 + (U1 )^2 * U22(效用最大化的二阶
关于 效用函数的一个问题 即证明U=U(X1,X2)(已知效用函数连续可导)
即证明U=U(X1,X2)(已知效用函数连续可导)试证明:
U11 *(U2 )^2- 2* U1* U2* U12 + (U1 )^2 * U22(效用最大化的二阶条件)
如何证明啊 高版的书上面有过程 关键是求二阶的那儿 U1/u2 对X1求导怎么就 变成了那样的形式(不敲出来了)
难道U11 不是 U对 X1连续求两次偏导数的意思吗?
(同理 U12 即 U 先对X1 求偏导 然后再对X2求偏导 我这样理解不正确吗)
我是跨考的 没学过经济学...
如果特殊符号打不出来的 可以用word 发给我
..
事成再补100分

关于 效用函数的一个问题 即证明U=U(X1,X2)(已知效用函数连续可导)即证明U=U(X1,X2)(已知效用函数连续可导)试证明:U11 *(U2 )^2- 2* U1* U2* U12 + (U1 )^2 * U22(效用最大化的二阶
效用最大化的二阶条件,应该是在无条件极值里面的.
这样考虑,在一元的时候,极大值就是一阶导为0,二阶导为负.
那么二元的时候也类似,极大值就是一阶微分为0,二阶微分为负定.
设U11=A,U12=B,U22=C.
U11(dx)^2+2U12dxdy+U22(dy)^2负定,即是A<0,B^2-AC<0.这就是二阶条件,绿皮书那本习题指导上似乎也提到过.
你说的那个效用最大化的二阶条件在哪儿看到的,高鸿业的书我也有,78页下面对二阶条件是略去的

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