arithmocracyn.
Etymology: < Greek ἀριθμός number + -κρατία rule: see -cracy comb. form.Previous versions of the OED give the stress as: arithˈmocracy.
1856 C. Kingsley (rev. ed.) p. ix A ‘democracy’ of mere numbers is no democracy, but a mere brute ‘arithmocracy.’
This entry has not yet been fully updated (first published 1885; most recently modified version published online September 2019).