Joey Wheeler's Deck has changed numerous times throughout the series. His strategies often involve luck, which is sometimes criticized by other characters. It usually consists of Warrior-Type monsters and later support for "Red-Eyes Black Dragon".
Initially he tried filling his Deck with just powerful Monster Cards. His Deck becomes more balanced as he learns more about the game.
"Time Wizard" and "Copycat" were treated as Magic Cards. "Time Wizard's" effect consisted of a spinning roulette. There was a 2 in 3 chance of it stopping on a skull symbol. This would destroy all the controller's monsters and cause them to take damage equal to half the combined ATK of all monsters they controlled. There was a 1 in 3 chance of landing on one of the win symbols, which accelerated time by a thousand years. The result caused all monsters on the field to age, which usually weakened them. In "Baby Dragon's" case, it evolved into "Thousand Dragon". "Dark Magician" became weaker, but gained effects as "Dark Sage" when affected by "Time Wizard" while it was equipped with the Book of Secret Arts.
In the anime, Joey Dueled Duke Devlin using a Deck made from Booster Packs opened just before the Duel. Yugi objected that Joey shouldn't Duel using cards he's not used to. All the cards are from the Thousand Eyes Bible expansion of the actual card game.
Many changes are made to Joey's Deck during the Battle City tournament.
With the rules changed to be closer to the OCG and TCG, Joey's Deck includes fewer high Level monsters as they must now be Tribute Summoned.
The number of tough Warriors and Beast-Warrior-Type monsters decreases and he includes a few cartoon-like warriors, while many more luck based cards are added.
Due to the Ante rule, Joey loses his "Red-Eyes Black Dragon", but wins a few more rare cards. Although Yugi manages to win back Joey's "Red-Eyes", Joey refuses to take it back and says he'll earn it when he becomes a better Duelist (in the English dub, he lends it to Yugi to help defeat Marik). In later arcs of the anime, he is shown to have it again, so it is assumed he defeated Yugi in the Duel following the tournament. However, in the manga Jonouchi does not use it again, except in Millennium World, where he wouldn't necessarily need the actual card.
During the tournament, Joey gets possessed by Marik Ishtar and is forced to Duel Yugi. Marik adds a number of Magic Cards to his Deck, which allow him to directly destroy monsters and inflict damage, although such cards were outlawed in this tournament.
After losing to Yami Marik, Joey falls into a coma, where he has a flashback to the tournament he entered in episode 2, using his original deck based on Warrior-Type monsters (In the dub dreams he is participating in another tournament).
In Noah Kaiba's virtual world, Joey was made to construct a Deck to use in this world. He made one close to his Battle City Deck, but also included a number of "Harpie" cards as a tribute to Mai Valentine.
Joey's Deck had evolved to incorporate even more luck cards. He also has included cards that end the opponents turns as well as Armor cards, much to Valon's surprise. The main addition, however, is "Claw of Hermos" which can fuse with monster cards to become Equip Cards. He is also seen using his Red-Eyes Black Dragon again, meaning he might've won in the duel against Yugi in episode 143.
In the Grand Championship Joey's Deck incorporates more support for low level monsters, such as the Landstar monsters. He continues his luck cards as well as his more memorable cards like "Red-Eyes Black Dragon" and "Jinzo."
Joey Wheeler is a Level 3 opponent in World Championship Tournament 2004. In order to unlock him, the player must defeat all of the Level 2 Duelists at least five times and have a "Jinzo" in their Trunk, but not in their Deck. If they can amass at least ten wins and maintain at least a 50% win ratio against Joey, the latter stipulation no longer applies.
Fitting his aggressive personality in the anime, Joey's Deck is full of high-ATK monsters, primarily Warriors and Beast-Warriors. Many of his Level 4 monsters have 2000 ATK or more, but suffer from various restrictions, such as changing to Defense Position after the Battle Phase or losing ATK for every monster destroyed. He also has some dangerous Effect Monsters, such as "Jinzo" and "Time Wizard", and he almost always activates the latter's effect successfully, making it difficult to keep monsters on the field.
He has generic Spells and only a few Traps, which mostly focus on strengthening his own monsters or getting rid of his opponent's monsters to give him a clear shot at their Life Points. If he gets the chance, he'll also use "Polymerization" to bring out one of three deadly Fusion Monsters: the 1700-ATK, potentially-Direct Attacking "Alligator's Sword Dragon", the 2400-ATK "Thousand Dragon", or his strongest monster, the 3200-ATK "Black Skull Dragon".
On the other hand, Joey's Deck has no Spell or Trap negation apart from Jinzo, and very little defense against monster Summons (other than his "Ring of Destruction" cards). He also tends to Summon "Time Wizard" in Attack Position to make use of its effect immediately, which leaves him vulnerable to taking a large amount of Battle Damage from a powerful monster.
↑This card is won from Mako Tsunami in episode 69, but he is not shown to ever play it, very likely due to it being a Ritual monster and thus requires a specific Ritual Spell in order to Summon it, which he doesn't have.