411.1. Game Actions may be the responsibility of up to one player. The player that performs the Game Action is responsible for it. Example: Cull the Weak is a spell that reads "Each player kills one of their units." When the spell resolves, each player chooses a unit they control and kills that unit. They are responsible for the death of their own unit.
411.4. If an ability triggers when "you" do something, it triggers when a Game Action that you are responsible for occurs. Example: A gear reads "When you move an enemy unit, you may exhaust this to [Stun] it." It will trigger whenever a move game action that you are responsible for causes an enemy unit to move. If an opponent plays a spell that reads "choose a Battlefield. Each player may move a unit they don't control to that battlefield," and a player that controls the gear chooses to move an enemy unit, their gear will trigger.