Cardinal Utility & Ordinal Utility - 經濟

Alice的效用函數 U(x,y)=29xy
Caro的效用函數 V(x,y)=5x+2y
A=(12,6) B=(8,13)

則題目可以翻譯成：

: (a)Alice prefers Carol's bundle to her own,
=> U(B) > U(A)
but Carol prefers her own bundle to Alice's.
=> V(B) > V(A)

: (b)Carol prefers Alice's bundle to her own,
=> V(A) > V(B)
but Alice prefers her own bundle to Carol's.
=> U(A) > U(B)

: (c)Each prefers the other gal's bundle to her own.
=> U(B) > U(A), V(A) > V(B)

: (d)Each prefer her own bundle to the other gal's bundle.
=> U(A) > U(B), V(B) > V(A)

: (e)None of the above is true.

: 王吉吉老師是說這題答案是(e)，理由是因為不同個體之間效用是無法比較

題目都只有比較 U(A)與 U(B)的大小，還有 V(A)與 V(B)的大小
這只是同一個人對不同消費組合的偏好比較，並沒有牽涉到不同的個體





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