We can only indirectly measure
ordinal utility, that is, the degree of happiness of a given individual.
The function [u.sub.Gina](.) is an
ordinal utility function for Gina if, whenever Gina ranks one bundle over a second bundle, this function assigns the first a higher number.
Third, we trace the influence of Voigt's contribution to
ordinal utility theory on subsequent writers.
While very few scholars would consider that the champions of cardinal utility are subjectivist, things are different when it comes to the advocates of
ordinal utility. (Horwitz, 2003, p.
Under such conditions, when the analysis involves situations where the choice set cannot be partitioned with certainty into attainable and unattainable sectors, the von-Neumann and Morgenstern (NM) class of (expected) utility functions replace the standard
ordinal utility functions of elementary economic analysis.
In regard to choice theory, this special issue includes the famous 1900 paper with the surprisingly general title 'Summary of some chapters of a new treatise on pure economics by Professor Pareto', which provided economic science with its first comprehensive discussion of, and formalisation of, economic equilibrium using
ordinal utility based on direct observation of choice.
Theoretical Background The most important problem in solving preference learning problems is the definition of an appropriate loss for each decision f(x; [alpha]) whereas the true
ordinal utility is given by y.
Assume two representative individuals who reside in two countries with identically
ordinal utility functions over two goods, X and Y, of the Cobb-Douglas type:
First, this analysis abandoned any notion of measurable, cardinal "utility" (or satisfaction), relying instead on Hicks's (1939) reformulation of neoclassical economics in terms of purely
ordinal utility and Vilfredo Pareto's definition of social welfare.
According to Rothbard, the mainstream approach credulously accepts the concept of cardinal utility when only that of
ordinal utility is defensible.
If preferences are only representable by an
ordinal utility function, they cannot be compared at all (p.485).
It also assumes familiarity with the philosophical underpinnings of
ordinal utility and revealed preference and with various approaches to estimating family equivalence scales.