Since you linked it, the Wikipedia page you linked no longer has a section on voting theory. You can see the talk page ( https://en.wikipedia.org/wiki/Talk:Bayesian_regret#Not_an_accepted_term_in_voting%2Fsocial_choice_theory ) for a discussion of why not.
(I am being cagey about who made that edit for reasons of anonymity but I am not trying to hide the obvious conclusion.)