When involved in a politically-tense situation and all progress has halted in discussions, it is the practice of applying percussive-logic to your opponent in the form of a beat-down.
"Justin was ignorantly speaking about 'homos' again last night at the bar. But my gay cousin was with us and got really upset. So I stuck up for my cousin and argued with Justin until he threw a beer at me. At that point I switched to pugilistic-diplomacy and prevailed in the argument."
a hybrid adjective reflecting urdu and english origins. the suffix is taken from english while that which precedes it is urdu. in urdu pagal means "crazy," or "nonsensical."
that argument is pagalistic dude!
i wasn't happy with his candor and the way he pagalistically argued that republicansactually have brains.