Psylocke. Maybe. If she just uses her telepathy to knock Bats out then Psylocke wins. If she goes into a martial art rage against Batman without using her telepathy than Bats wins. Unfortunately, Wolverine clear stated once that Psylocke is "an action junkie". She prefers physical confrontation to mental domination. But 99% of the time Psylocke would win.
Batman has one of the strongest minds in DCU. Psylocke states, after she takes out magneto, that she would "never have been able to take out such a strong mind" with out the huge power augmentation she temporarily recieved. Xavier can't even mind control Doom just because of the strength of his will. I think Psylocke's power's just make this fight even for those reasons.
Originally posted by IRTMU-Dragon
Centauri is somewhat right... They both have sufficient power to defeat each other, it would just have to be the right moment.
Like batman using a good weapon at a certain time or Psylocke getting in the right psychic knife at sufficient time.
Originally posted by Alpha Centauri
Both of these fighters could take it given the circumstances.-AC
Two wise post
I'm starting to think Bats would take it though, Psylocke still has to hit to use her psychic knife and Bat's is the better fighter. I'm not sure how effective a psychic ruse would be on a mind as strong and sharp as the Bats.