你好 因为曾修过公共选择 所以也碰过Arrow's Impossibilty Theorem 可以和大家分享讨论看看 (好像有些小部分和之前分享朋友不同...) 过去笔记简单整理如下: 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. ---------------------------------------------------------------------- 附注: 证明真的超难理解的.... 也是看了好久再加上问老师才搞的好像有一点点懂.... -- 多情而不牵恋 此情圣之风也 友善而又淡然 此君子之交也 ----逐流 --

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