samuelson condition - 經濟

By Mason
at 2006-12-16T22:43
at 2006-12-16T22:43
Table of Contents
來源: 公經老師
科目: 公共經濟學
問題: Max Ub=XbYb
s.t Xa+Xb=X
Ya=Yb=Y
__
Ua=XaYa Ua=4
F(X,Y)=X^2+Y^2=16 (式中X為私有財,Y為公共財,F為生產可能線)
求滿足 Samuelson Condition之最適資源配置
我的想法: MRSa+MRSb=MRT(x,y) (Samuelson condition)
Ya/Xa+Yb/Xb=X/Y
(YaXb+YbXa)/XaXb=X/Y
又Ya=Yb=Y Xa+Xb=X ∴XY/XaXb=X/Y →Y^2=XaXb
然後.........呃要怎麼消怎麼代才可以求出Xa X Y Xb @@"??
--
科目: 公共經濟學
問題: Max Ub=XbYb
s.t Xa+Xb=X
Ya=Yb=Y
__
Ua=XaYa Ua=4
F(X,Y)=X^2+Y^2=16 (式中X為私有財,Y為公共財,F為生產可能線)
求滿足 Samuelson Condition之最適資源配置
我的想法: MRSa+MRSb=MRT(x,y) (Samuelson condition)
Ya/Xa+Yb/Xb=X/Y
(YaXb+YbXa)/XaXb=X/Y
又Ya=Yb=Y Xa+Xb=X ∴XY/XaXb=X/Y →Y^2=XaXb
然後.........呃要怎麼消怎麼代才可以求出Xa X Y Xb @@"??
--
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經濟
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