The Anime Edit
Arkana was a magician, and was in love with a girl named Catherine, but one of his escape tricks went badly wrong, injuring him and scarring his face. He drove Catherine away, and never saw her again afterwards. However, he later heard her say that she didn't care aboyt his disfigured face. Arkana then met Marik, who promised to return Catherine to him if he defeated Yugi, so he became one of his Rare Hunters.
In Battle City, Arkana dueled Yugi in a duel in which whenever a duelist lost life points, a dark energy disk would move closer to them, and, when their life points reached zero, trap their souls in the Shadow Realm (In the original version, they were buzzsaws that would simply cut of the loser's legs). He dueled using two Dark Magicians who looked quite different from Yugi's Dark Magician, but Yugi defeated him anyway, and unlocked his shackles. He then saved Arkana from the dark energy disk before he could be sent to the Shadow Realm. Marik then spoke through Arkana to Yugi.
Arkana appears as a boss in the video game, Yu-gi-oh! The Falsebound Kingdom. He appears as a minion of Scott Irvine, rather than Marik Ishtar. You fight him on the level "Lost Cause" in the Yugi Campaign in the Anker-Hill region. He uses his version of the Dark Magician and two Invitations to a Dark Sleep. He'll send seven soldiers to Yugi's party which consists of magic and dark monsters. After they're defeated, the player, preferably Yugi can fight him. Once defeated, Scott deletes Arkana's programming and when defeated for the first time, Dark Magician #2 joins the list of monsters.