你好
因為曾修過公共選擇
所以也碰過Arrow's Impossibilty Theorem
可以和大家分享討論看看
(好像有些小部分和之前分享朋友不同...)
過去筆記簡單整理如下:
Arrow's Impossibilty Theorem
At least 3 persons,(1,2,3)
At least 3 choices,(x,y,z)
no mechanism can always aggregate personal preferences
to become a social preference,
which satisfies four conditions at the same time,
condition U : personal preferences and social preference are rational.
condition P : x,y belong to A , x>y in individual , x>y in society.
condition I : x,y belong to A ,
x and y's binary relation in individual is unchanged,
x and y's binary relation in society is unchangd.
condition D : non-dictatorship
Strategy of Proof :
if social preference satisfies condition U, P, and I,
it will not satisfy condition D.
we are sure to find a dictator.
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附註: 證明真的超難理解的....
也是看了好久再加上問老師才搞的好像有一點點懂....
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此情聖之風也
友善而又淡然
此君子之交也
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