Roger Goodell has rejected the appeals of four players suspended in connection with the league's bounty investigation of the Saints. In a ruling handed down on Tuesday, Goodell told Jonathan Vilma, Anthony Hargrove, Will Smith and Scott Fujita that he retains "the inherent authority to reduce a suspension should facts be brought to my attention warranting the exercise of that discretion. "The record confirms that each of you was given multiple chances to meet with me to present your side of the story," the commissioner said. "You are each still welcome to do so." Vilma is suspended for the entire 2012 season, while Smith will miss four games. Hargrove, now with Green Bay, was suspended eight games, while Fujita, now with Cleveland, was suspended three games.