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Most utility functions used for modeling or theory are well-behaved. They are usually monotonic and quasi-concave. However, it is possible for rational preferences not to be representable by a utility function. An example is lexicographic preferences which are not continuous and cannot be represented by a continuous utility function. [8]
A possible solution is to calculate n one-dimensional cardinal utility functions - one for each attribute. For example, suppose there are two attributes: apples and bananas (), both range between 0 and 99. Using VNM, we can calculate the following 1-dimensional utility functions:
This category is for specific utility functions, properties or classes of utility functions. Pages in category "Utility function types" The following 43 pages are in this category, out of 43 total.
A public utility company (usually just utility) is an organization that maintains the infrastructure for a public service (often also providing a service using that infrastructure). Public utilities are subject to forms of public control and regulation ranging from local community-based groups to statewide government monopolies .
Leontief utility functions represent complementary goods. For example: Suppose is the number of left shoes and the number of right shoes. A consumer can only use pairs of shoes. Hence, his utility is (,).
A single-attribute utility function maps the amount of money a person has (or gains), to a number representing the subjective satisfaction he derives from it. The motivation to define a utility function comes from the St. Petersburg paradox: the observation that people are not willing to pay much for a lottery, even if its expected monetary gain is infinite.
These functions are commonly used as examples in consumer theory. The functions are ordinal utility functions, which means that their properties are invariant under positive monotone transformation. For example, the Cobb–Douglas function could also be written as: + . Such functions only become interesting when there are two or more ...
The following is a list of service industries, grouped into sectors. Parenthetical notations indicate how specific occupations and organizations can be regarded as service industries to the extent they provide an intangible service, as opposed to a tangible good. Business functions (that apply to all organizations in general) Consulting ...