That could certainly be fun. In LotR I developed a rule set to run chariot races with random results but with enough detail to produce interesting and unique outcomes each time. I posted the rules here. A similar system could be used for dueling if you do it in a 'fencing' system, a lot like boarding ships in Sid Meier's Pirates (if you ever played that). The basic idea being that you've got a game board of 7 squares in a single row. Both duelists start in the middle, on square 4. Die rolls are used to determine what happens. For instance, on a roll of 1, duelist A pushes his oppenent back a square, or on a roll of 6, duelist B pushes his oppenent back 2 squares. For flavor, there can be other effects, like an injury which reduces someone's chances in future rolls, or perhaps someone owns an excellent sword which gives them an advantage on a roll once or twice in a duel. When a person is pushed off their last square, they lose. There is then a roll to determine whether they were injured or killed in the process.
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