In Assassin's Creed IV: Black Flag, Great Inagua is the island that serves as Edward Kenway's principal hideout headquarters. The location is a large island in the Caribbean that Edward acquires during the story.
The Great Inagua hideout develops as Edward's personal base and can be upgraded with buildings, visual improvements, and facilities. It is also connected to the pirate crew's activities and provides a stable home between naval expeditions. The island's name is based on Great Inagua, a real island in the Bahamas.
Great Inagua is not the same as Nassau, the pirate republic that functions as a major social and political hub. Black Flag also includes locations such as Havana, Kingston, and Tulum. The game was released in 2013 and follows Edward's transformation from privateer and pirate into an Assassin while he becomes involved in the conflict between the Assassins and Templars.