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'.
(..) what a compromise is? Bendin' the law? No, it's an agreement reached by mutual consent. Now here's the way it works. You concede the necessity of goin' to school... we'll keep right on readin' the same every night... just as we always have. Is that a bargain? (..)1962 To Kill a Mockingbird