Betting is the replacement for dueling.
Its not a perfect replacement, of course. (Nothing is a perfect replacement for anything else.) It only applies in certain cases. But what it has in common with dueling is the challenge either to back up ones opinion or retract it. In that sense, it serves a similar social function, and gives the challenger a similar feeling of satisfaction. And in addition to being (obviously) morally preferable to dueling, a challenge to wager also makes more sense epistemically. When a challenge is accepted, the outcome of the wager can show whos right, whereas the outcome of a fight doesnt (unless the wager is about relative fighting prowess, but in that case the duel just is a wager). And when a challenge is refused, well, fear of being refuted is an epistemically relevant reason to retract an opinion, while fear of being killed is not.