公共財數量問題 - 經濟
By Mason
at 2012-02-06T18:04
at 2012-02-06T18:04
Table of Contents
來源: 100年台大個經
問題:
D, N, J 消費私有財X，與公共財Y，Px及Py皆為$1
效用函數分別為: Ud (Xd,Y) = XdY 所得: $50
Un (Xn,Y) = 2XnY $30
Uj (Xj,Y) = 2XjY $20
請問他們公共財的最適消費數量為?
答案:
由 Max Social Welfare= XdY+2XnY+2XjY
s.t Y= 100-Xd+Xn+Xj
求解得Y=0
我的想法:
直覺Y一定不等於0，且答案由Lagragian解出角解覺得很怪
因此我分別取個別最適化
得 Xd=25,Xn=15,Xj=10 而Y總和50
但不是很確定，覺得自己並沒有考慮到公共財共有的問題??
請問各位高手這個答案正確嗎?? ~"~
--
問題:
D, N, J 消費私有財X，與公共財Y，Px及Py皆為$1
效用函數分別為: Ud (Xd,Y) = XdY 所得: $50
Un (Xn,Y) = 2XnY $30
Uj (Xj,Y) = 2XjY $20
請問他們公共財的最適消費數量為?
答案:
由 Max Social Welfare= XdY+2XnY+2XjY
s.t Y= 100-Xd+Xn+Xj
求解得Y=0
我的想法:
直覺Y一定不等於0，且答案由Lagragian解出角解覺得很怪
因此我分別取個別最適化
得 Xd=25,Xn=15,Xj=10 而Y總和50
但不是很確定，覺得自己並沒有考慮到公共財共有的問題??
請問各位高手這個答案正確嗎?? ~"~
--
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