Is the function z=max(x,2y) monotone? I suppose it is monotone but not strictly montone, isn't it? Sry for posting this rather trivial question, but in our book the max function is described as not monotone, which seems rather weird to me.

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- Dec 29th 2011, 12:27 AMSchderoMonotone
Is the function z=max(x,2y) monotone? I suppose it is monotone but not strictly montone, isn't it? Sry for posting this rather trivial question, but in our book the max function is described as not monotone, which seems rather weird to me.

Thanks - Dec 29th 2011, 12:33 AMFernandoRevillaRe: Monotone
- Dec 29th 2011, 01:46 AMSchderoRe: Monotone
Are there various definitions? I thought if f(x)''>0 f(x) is strictly monotone, if f(x)''>=0 it is monotone (in both cases monotonely increasing to be exact). What alternative definition is widely accepted? My example is in a book on econometrics. The question is, whether or not the indifference curves of the utility u=max(x,2y) represent monotone preferences.

- Dec 29th 2011, 02:20 AMFernandoRevillaRe: Monotone
Look here:

Monotonic function - Wikipedia, the free encyclopedia

Quote:

My example is in a book on econometrics. The question is, whether or not the indifference curves of the utility u=max(x,2y) represent monotone preferences

- Dec 29th 2011, 04:30 AMHallsofIvyRe: Monotone