Obama's prize was more of a credit for good deeds in the future. Jagland himself (Nobel committee chairman) partly confirmed that. Sadly, it didn't work out. Rather backfired.
Fortunately its not about who deserves it more than whom, (theoretically) its about who deserves it the most (although, imho, that's hardly ever the case).
At the time he got it he and Putin deserved it. Had he not gotten it then, he would def. not deserve it now after all the horrible decisions he's made since.