In economics, polytomous choice is a setting (model) with more than two choices; contrast to dichotomous choice. Polychotomous being the preferred term already published and in use to describe decisions involving variables with more than two states.
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“The fondness or indifference that the philosophers expressed for life was merely a preference inspired by their self-love, and will no more bear reasoning upon than the relish of the palate or the choice of colors.”
—François, Duc De La Rochefoucauld (1613–1680)