About: Utility functions on divisible goods

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This page compares the properties of several typical utility functions of divisible goods. 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 goods (with a single good, all monotonically increasing functions are ordinally equivalent).

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  • This page compares the properties of several typical utility functions of divisible goods. 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 goods (with a single good, all monotonically increasing functions are ordinally equivalent). The utility functions are exemplified for two goods, and . and are their prices. and are constant positive parameters and is another constant parameter. is a utility function of a single commodity. is the total income (wealth) of the consumer. (en)
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  • This page compares the properties of several typical utility functions of divisible goods. 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 goods (with a single good, all monotonically increasing functions are ordinally equivalent). (en)
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  • Utility functions on divisible goods (en)
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