Editing Ordinal utility (section)

== Comparison between ordinal and cardinal utility functions ==
The following table compares the two types of utility functions common in economics:
{| class="wikitable"
|-
!                      !! [[Level of measurement]] !! Represents [[preference (economics)|preferences]] on!! Unique up to                 !! Existence proved by !! Mostly used in
|-
| [[Ordinal utility]]  || Ordinal scale || Sure outcomes || Increasing [[monotone transformation]] || [[Debreu theorems#Theorems on Ordinal utility|Debreu (1954)]] || [[Consumer theory]] under certainty
|-
| [[Cardinal utility]] || Interval scale || Random outcomes (lotteries) || Increasing monotone [[linear function|linear transformation]] || [[Von Neumann–Morgenstern utility theorem|Von Neumann-Morgenstern (1947)]] || [[Game theory]], [[expected utility hypothesis|choice under uncertainty]]
|}