Heihachi survived, being no ordinary man, but was rendered unconscious for the entirety of the 5th tournament while Jin took over the Zaibatsu. Jin foils his plan, then he gets ambushed by Jack robots, then Kazuya betrays him, and the Jack robots self-destruct on him after dogpiling him. Later he found out that Kazuya was still alive, and hosts the 4th tournament to lure his descendants for his plans. Once Jin beats Ogre, Heihachi betrays Jin by shooting him in the head, only to be smacked back by Devil Jin and thrown out of Ogre's temple through a wall. When he's approached by his grandson Jin Kazama, who wants to avenge his mother's death at the hands of Ogre, Heihachi uses him to lure Ogre out. For years, Heihachi built up a good reputation with his Zaibatsu while hiding his ambitions.
