I played Akshan taking an equipment. Opponent plays Akshan taking the equipment back. I play another Akshan taking the equipment back. Opponent uses one more Akshan to take it back, but dies in combat. Who does the equipment go to?

To determine who controls the equipment, we must apply the rules of control-change effects and timestamp order.

According to the rules and precedents established in RiftJudge FAQ #8851, FAQ #5396, and FAQ #9734:

1. Control-change effects are applied in timestamp order: When multiple players create effects that attempt to control the same object, the most recently played effect overrides all previous ones.
2. Effects stop when their source leaves play: When an Akshan leaves the board, the control-change effect it created ceases to apply.
3. Recalculation: Whenever a control-change effect ends, the game recalculates control based on which remaining, active effects are in play, ordered by their original timestamp.

Step-by-Step Breakdown of Your Scenario:

1. Initial Theft (Player A): You play your first Akshan. You control the gear.
2. Theft 2 (Player B): Your opponent plays their first Akshan. Their effect is newer; they now control the gear.
3. Theft 3 (Player A): You play your second Akshan. Your effect is newer; you now control the gear.
4. Theft 4 (Player B): Your opponent plays their second Akshan. Their effect is newer; they now control the gear.
5. Opponent's Akshan Dies: The second Akshan played by your opponent leaves the board. The control-change effect it created stops applying.

The Result:

The game recalculates control. With your opponent's second Akshan gone, the game looks for the next most recent active control-change effect. That effect is from your second Akshan, which is still on the board.

Therefore, you regain control of the equipment.

Note: This is based on the logic of timestamped control-change layers described in the cited FAQs. If your second Akshan were to leave the board as well, control would revert to the controller of the next oldest active effect (your opponent's first Akshan), and if all Akshans left the board, control would revert to the equipment's original owner.