We prove that when we decompose the expected utility function inside of an mdimensional metric space we refer to a preference ordering based on the notion of distance. We prove that when we deal with a scale of measurable utilities we refer to a preference ordering based on the notion of distance. A contingent consumption plan is studied inside of an m-dimensional metric space because utility and probability are both subjective. The right closed structure in order to deal with utility and probability is a metric space in which we study coherent decisions under uncertainty having as their goal the maximization of the prevision of the utility associated with a contingent consumption plan.
Metric representations of a preference ordering / Angelini, Pierpaolo. - In: INTERNATIONAL JOURNAL OF STATISTICS AND ECONOMICS. - ISSN 0975-556X. - (2020).
Titolo: | Metric representations of a preference ordering | |
Autori: | ANGELINI, PIERPAOLO (Corresponding author) | |
Data di pubblicazione: | 2020 | |
Rivista: | ||
Citazione: | Metric representations of a preference ordering / Angelini, Pierpaolo. - In: INTERNATIONAL JOURNAL OF STATISTICS AND ECONOMICS. - ISSN 0975-556X. - (2020). | |
Handle: | http://hdl.handle.net/11573/1429471 | |
Appartiene alla tipologia: | 01a Articolo in rivista |
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