The phrase "unanimous preference" is correct and usable in written English.
It can be used when referring to a situation where everyone involved has the same choice or opinion.
Example: "After much discussion, the committee reached a unanimous preference for the new policy."
Alternatives: "collective choice" or "shared preference."
One case in which we may lift it is that of spurious unanimity, where a unanimous preference for x over y is based on mutually inconsistent reasons (e.g., Mongin 1997; Gilboa, Samet, and Schmeidler 2004).
In this case, the unanimous preference is a bad indicator of social preferability.
There may exist no mutually agreeable probability assignment over possible outcomes of the duel (i.e., who would win) that would 'rationalize' the unanimous preference for x over y.
On the contrary, there is a strict social preference for $C$ above $A$, since that is the unanimous preference of the voters.
Rather than offer everyone vanilla birthday cake and assume vanilla will be the unanimous preference (don't you just hate that?), they've presented us with a compilation of eight original tracks by some of their core artists.
Interestingly, adolescents expressed a unanimous preference for this feature to be termed a "forum" rather than "discussion board".
Moreover, there was unanimous participant preference for the PGWG.
WP requires $f$ to respect unanimous strict preferences.
These teachers were unanimous that personal preferences should ideally be completely hidden in a teaching and learning setting: So, and anyway, and then she… so she was in the office then… and she started chatting (annoyed voice), you know, about her life and yeah But then (sighs), you know, she is not my favourite student (laughs slightly; lowers her voice).
Although there was unanimous agreement about their preference for the CBS over the CNS when it comes to measuring care provided from an AD caregiver perspective, participants identified some limitations of the CBS.
We contrasted "unanimous agreement" review outcomes (both reviewers prefer the subject's preference) with "split" review outcomes (experts disagree with each other).
