After MINAMOTO no Yoritomo became seii taishogun and established Kamakura bakufu (Japanese feudal government headed by a shogun) and formed military government, there was almost no one who was appointed as vice shogun and in Kamakura period there was no one who was appointed as vice shogun.
源頼朝が征夷大将軍となり鎌倉幕府を開き、武家政権が成立するようになった後も、副将軍を任ずる人事はほとんどなされることはなく、鎌倉時代には一度も副将軍が任ぜられる例はなかった。