in the extras to one of the bourne movies he said he learned kali/escrima it does also look like krav maga which involves quick devastating blows and weapon defense and is an art used by some military branches
however like i said matt damon himself said kali.
kali is taught with sticks and knives however the same techniques with those weapons can still used without. along with strikes and weapons grappling/joint locks are also learned in kali. and is taught to the military in the philippines.
krav maga is a hybrid mix martial art using different techniques from different styles for self-defense and is taught no rules anything to survive(eye gouge, nut kicks etc) also focus on defending from guns, knives, and sticks and also using improvised weapons
now like most martial arts in hollywood its probably a mix of many different arts(hollywood fu) but mainly rooted with escrima
http://en.wikipedia.org/wiki/Escrima
http://www.history.com/minisite.do?conte…
http://en.wikipedia.org/wiki/Krav_maga
http://www.history.com/minisite.do?conte…
3 yrs thai boxing, interested in escrima, took krav maga for 6months, watched all the bourne movies, and answered this question several times