It is generally 'conceded' [='acknowledged, agreed'] that they are the superior team. [=most people agree that they are the superior team]
When she noted that the economy was actually improving, he grudgingly/reluctantly 'conceded' the point. [=he admitted that she was right]
Although it seems clear that he has lost the election, he still refuses to 'concede'.
(..) In the ring. Last jumper! Time to fight. How long do we fight for? Till one of you can't continue. Or one of you concedes. According to the old rules. New rules, no one concedes. You really want to lose 'em on their first fight? A brave man never surrenders. (..)2014 Divergent