In a response to the violence at Saturday’s exhibition game at Candlestick Park, a high-ranking NFL source said it is certain that the 49ers and Raiders will end their annual exhibition game against each other.

The source said that both the NFL and local police strongly support such an end to the preseason cross-bay rivalry.

Raiders CEO Amy Trask and 49ers president Jed York have broached the subject of ending the annual game in the wake of the violence-which left two people in critical condition.

Though the two teams haven’t told each other that they don’t want to play the game any more, the NFL source said that there is no way the game will be played next year, the year after and maybe longer than that.

It’s likely that the discontinuation of the annual games won’t be announced-the match-up will just disappear from the preseason schedules of both teams next year (when it was due to be held in Oakland) and will not re-appear.

The exhibition game might be partially replaced by a closed Raiders-49ers scrimmage during training camp, the NFL source said.