In the manga, the rules of the game were each player can only use one of their ten fingers and whoever dies loses. This was played while the convict, had Dark Yugi at gunpoint while he held Anzu Mazaki hostage.
In the anime, the convict was named Jiro the Jorogumo and the loser didn't necessarily die.
The convict escaped from Domino City Jail and ran towards Domino City. While running he became thirsty. Discovering he was near Burger World, he went inside to get drinks and a cigarette. At the door, he grabbed the waitress, Anzu and held a gun to her head. He warned everyone to be quiet, or he'd kill her. Anzu was forced to blindfold herself with the ribbon from her uniform and the customer, Yugi, was forced to serve him vodka and Lucky Stripe cigarettes.
Yugi switched to Dark Yugi, who gave the convict what he ordered, but then sat down across from him and challenged him to a game. The convict put his cigarette in his mouth and began pouring his drink as Dark Yugi explained the rules.
The convict chose to use his right index finger, thinking he could just shoot Dark Yugi. Dark Yugi chose his thumb.
As the convict was about to pull the trigger, Dark Yugi used his thumb to switch on a cigarette lighter. The convict allowed Dark Yugi to light his cigarette as the last thing he did before dying. However after doing so, Dark Yugi placed the lighter on the convict's left arm, which was still pouring the vodka. The vodka in the glass began to overflow and spill on the convict. Dark Yugi warned him that by shooting, he would knock the lighter and set the vodka on fire.
Dark Yugi stood up and escorted Anzu away, who was still blindfolded. The convict eventually dropped his cigarette, setting himself ablaze.
Dark Yugi switched back to Yugi, who had no recollection of what happened. After Anzu removed her blindfold, she looked around for the man who saved her and couldn't believe it was Yugi, as he had no knowledge of what happened. She thought to herself that she had fallen in love with the man who saved her.
Jiro escaped from prison, disguised as Tetsu Tasaki, who also escaped. Jiro had a plastic surgery and became a staff member at Burger World, where Tetsu frequently went disguised for a meal. Jiro quickly saw through Tetsu's disguises, and whenever Tetsu planned a crime Jiro beat him to do it yet the crimes were blamed on Tetsu.
After the detective arrived and alerted the staff that there was reason to believe Tetsu was in the restaurant, Jiro cooperated in the search to find which customer he was. However Tetsu resisted arrest and was able to expose Jiro in the process.
Jiro then took Anzu hostage, had her blindfold herself and forced Yugi to serve himself alcohol and cigarettes. Yugi switched to Dark Yugi and challenged Jiro to the game. Jiro put the cigarette in his mouth and began pouring his drink.
When the game began, Dark Yugi explained that the only rule is that each player must select a finger and must not move any other. Jiro choose to use his right index finger, thinking he could just shoot Dark Yugi. Dark Yugi choose his thumb.
As Jiro was about to pull the trigger, Dark Yugi used his thumb to switch on a cigarette lighter. Jiro allowed Dark Yugi to light his cigarette as the last thing he did before dying. However after doing so, Dark Yugi placed the lighter on the Jiro's left arm, which was still pouring his alcohol. The vodka in his glass began to overflow and spill on Jiro. Dark Yugi warned him that by shooting, the recoil would knock the lighter and set the vodka on fire.
Dark Yugi stood up and escorted Anzu, who was still blindfolded away. Jiro took the lighter off his hand, using more than his chosen finger and then angrily pointed the gun at Dark Yugi. However for cheating, Dark Yugi inflicted a Penalty Game, causing Jiro to believed he was set alight.
Anzu quit her job at Burger World, so she could spend more time with Yugi, but still had no knowledge of who saved her.