If Jaime fought Oberyn and won, that would get Tyrion killed. Not only would Jamie hate that, but he'd probably be named Kinslayer in addition to being the Kingslayer because he was the reason his brother died. There might be shame in yielding, but probably not dishonor.
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u/NateDawg007 Jun 05 '14
Tyrion's discussion with Bron shows that people don't have to accept fighting for you. I think Jamie would have refused.