He broke the (arbitrary) rules. He introduced himself, abolishing their current state of anonymity with four simple syllables.

Now there was no reason for her not to do the same.

"I am Aya." A pretty name for a pretty girl. Though Aya still did not understand what her assumed physical beauty despite lacking a body at the time Hal Jordan first named her...she still thought of him fondly with each self reference. "It is a pleasure to make your acquaintance, Seto Kaiba."