The Dragon wants you to take out Lo Pan - hand to hand

 is a quest in Fallout 2.

Walkthrough
When you first arrive in San Francisco, you'll see a ring in the middle of the crossroads, and two men fighting hand-to-hand there: A muscular man with his torso naked, and a man dressed in black.

With a mighty blow, the muscled man throws his adversary to the ground, stating: "Your kung-fu is not good here".

After a fade-to-black you can freely talk to the citizens, and learn that the two fighting men are masters of martial arts, opposed in philosophy. The Dragon, the barechested man, cares for others and wants to teach his martial arts knowledge to all. Lo Pan, the man dressed in black, just cares for himself and doesn't want to teach others. Both have their respective gyms, one on the right street, and the other on the left street.

Visiting The Dragon yields an explanation of the situation, and the current stalemate, as well as his point of view, you must agree with him to begin the quest. The Dragon can't fight directly in a deathmatch with Lo Pan, but you can offer to do this for him, and if you are sufficiently skilled in unarmed combat he'll allow you to challenge Lo Pan. If you are not, he won't permit the confrontation, and you can train with him. The training lasts around one hour, and it increases your Unarmed Combat skill by 5%. If you try to train again with him before one full day has passed he will refuse, saying "Not everything is physical strength, grasshopper."

When you are confident enough, you can challenge The Dragon. You can choose to fight to prove your skills, and you'll fight with six of his followers, one after another, healing automatically after defeating each one, and obtaining a small increase in damage resistance if you win.

After defeating his followers you will be forced into a showdown with Lo Pan. Go to his gym at the west side of the street, and challenge him. Defeat his four followers, and dispatch him quickly. If you are too slow he will break the rules by pulling out a .223 pistol. After defeating him talk to The Dragon to finish the quest.

Alternatively you can help Lo Pan to defeat the Dragon.

Rewards

 * 8000 XP
 * Increased damage resistance
 * Unarmed training if your skill is too low

Behind the scenes

 * The Dragon is a reference to famous martial arts expert Bruce Lee, praised for his role in Robert Clouse's 1973 film Enter the Dragon as well as the film Way/Return of the Dragon in which Lee ripped out Chuck Norris' chest hair out before killing him.
 * Lo Pan is named after the main antagonist in the 1986 cult martial arts film Big Trouble in Little China.