NFL investigators found that Vilma and Smith were ring leaders of a cash-for-hits program that rewarded injurious tackles labeled as "cart-offs" and "knockouts." The NFL also concluded that Hargrove lied to NFL investigators to help cover up the program.
Goodell also suspended Williams indefinitely, while banning Saints head coach Sean Payton for a full season.
Tagliabue's ruling comes after a new round of hearings that for the first time allowed Vilma's attorneys and the NFL Players Association, which represents the other three players, to cross-examine key NFL witnesses. Those witnesses included Williams and former Saints assistant Mike Cerullo, who was fired after the 2009 season and whose email to the league, accusing the Saints of being "a dirty organization," jump-started the probe.
"We believe that when a fair due process takes place, a fair outcome is the result," the players' union said in a statement. "We are pleased that Paul Tagliabue, as the appointed hearings officer, agreed with the NFL Players Association that previously issued discipline was inappropriate in the matter of the alleged New Orleans Saints bounty program.
"Vacating all discipline affirms the players' unwavering position that all allegations the League made about their alleged 'intent-to-injure' were utterly and completely false.
"We are happy for our members."
A statement released on Vilma's behalf said the linebacker is "relieved and gratified that Jonathan no longer needs to worry about facing an unjustified suspension.
"On the other hand, Commissioner Tagliabue's rationalization of Commissioner Goodell's actions does nothing to rectify the harm done by the baseless allegations lodged against Jonathan. Jonathan has a right and every intention to pursue proving what really occurred and we look forward to returning to a public forum where the true facts can see the light of day."