偏好 - 經濟

※ 引述《deching (我要上國發所)》之銘言：
: 請問一下什麼是
: "辭典序列偏好"
: 他跟[公理]連續性是否有關??
: 謝謝指導.......

chingi 說的沒錯,
辭典序列偏好 (lexicographic preference) 並不連續.

舉個例子,
假設有 2 個商品 ( x, y )

假設哈利波特先生的偏好是辭典序列偏好好了,
對哈利來說,
( xi, yi ) is at least as good as ( xj, yj ) if
1. xi > xj
2. xi = xj, yi >= yj

我們可以找到一個序列 An,
An = ( 1/n, 0 ), n = 1, 2, 3...
B = ( 0, 1 )
An is at least as good as B,
但 lim An as n goes to infinite = ( 0, 0 ) is not at least as good as B.
違反連續性的假設.

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