If were talking about Matt Damon as J. Bourne then its no question, Bourne wins everytime but with the new Jeremy Renner as Bourne, then Bauer wins cause the Renner Bourne has to continue to take supplements to stay sharp and smart. Damon's Bourne is trained to the teeth to take out small army's.

They fight to a standstill, then are forced to disengage by circumstances (perhaps a bomb set to kill them both). Then they do a bit of research, team up, and rip the organization that set them against each other a new orifice.

Jason bourne. bauer is overrated and old!

You have a great imagination :]

here is the scenario: Bauer has been assigned to terminate Bourne whom he has been told is a threat to National Security and may even be planning to assassinate the President

Bourne has been told a similar tale, the purpose is to put them on the trail of the other in order for one to eliminate the other.

both of whom are seen as rebels and renegades by some high up in US Intel

the setting: New York City

Weapons: sidearms, knives, and hand to hand

who has the edge??