How do you change you and your partners names in PMD3?

To change you and your partner's names in Pokémon Mystery Dungeon: Explorers of Time/Darkness/Sky (PMD3), go to the main menu and select "Options." From there, choose "Rename" and then select either your character or partner's name. Enter the new name using the on-screen keyboard, and confirm your selection. This allows you to personalize your adventure with new names for both characters.