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'.
(..) for specific reasons. And there was no reason for me to destroy a pen full of capitol children. None at all. I must concede, it was a masterful move on coin's part. The idea that I was bombing our own helpless children to hold back the rebels... (..)2015 The Hunger Games: Mockingjay - Part 2