Implicitly additive utility and the nature of optimal economic growth (Q1083016)

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scientific article; zbMATH DE number 3974679
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Implicitly additive utility and the nature of optimal economic growth
scientific article; zbMATH DE number 3974679

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    Implicitly additive utility and the nature of optimal economic growth (English)
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    1986
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    An implicitly additive utility function on a consumption set is defined. This function has the property that each of its indifference sets is also an indifference set for some other utility function which is additive and has a constant rate of discount. It is proved that the turnpike property of optimal consumption programs in an aggregative optimal growth model is valid also for such utility functions. A characterization of implicity additive utility functions are given.
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    implicitly additive utility function
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    constant rate of discount
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    turnpike property
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    optimal consumption programs
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    aggregative optimal growth
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