The proposed settlement has been almost universally perceived as a victory for the league. With it, the N.F.L. bought itself — cheaply, considering its $9 billion in annual revenue — a degree of short-term business certainty. It initially agreed to set aside $765 million for brain-injured players or, in the case of those who died, their heirs. After Brody, who presides over the suit, said the fund might not cover payments to all those who qualified, the league agreed to a deal with no upper limit on its liability. But because of how the settlement delineates which afflictions qualify for financial compensation and caps the awards on what can go out to individuals, the N.F.L.'s total liability, paid out over decades, may not rise much beyond $1 billion