單調遞增轉換一問 - 經濟

By Ivy
at 2017-05-01T00:07
at 2017-05-01T00:07
Table of Contents
大家好
想請問大家關於以下兩個效用函數彼此的單調轉換關係:
U(X1,X2)=X1^c*X2^d
H(X1,X2)=[U(X1,X2)]^1/c+d
題目的答案說H(X1,X2)是U(X1,X2)的單調遞增轉換函數
但假如今天c、d同為負數,就滿足不了dH/dU>0的定義
但在c、d同為負數的情況下,兩個效用函數的MRS是一樣的
我應該要看MRS是否相同,還是看dH/dU是否大於0來當作判斷是否為單調遞增轉換的依據?
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