Before revision: Construction of cardinal utility functions from cardinal and ordinal data The mathematical foundations of most common types of utility functions — quadratic and additive — laid down by Gérard Debreuenabled Andranik Tangian to develop methods for their construction from ordinal data.In particular, additive and quadratic utility functions in variables can be constructed from interviews of decision makers, where questions are aimed at tracing totally 2D-indifference curves in coordinate planes — and in the case of quadratic utility additionally specifying one point of indifference in every other coordinate plane.
After revision: The mathematical foundations of most common types of utility functions — quadratic and additive — laid down by Gérard Debreuenabled Andranik Tangian to develop methods for their construction from ordinal data.In particular, additive and quadratic utility functions in variables can be constructed from interviews of decision makers, where questions are aimed at tracing totally 2D-indifference curves in coordinate planes — and in the case of quadratic utility additionally specifying one point of indifference in every other coordinate plane.