An intrinsic motivator is a personal desire to keep playing, mastering, exploring and otherwise enjoying the world of a game. Intrinsic motivators are rarely explicitly stated, but rather come as a result of the consequences of experimenting with and realising the depth of the game. Intrinsic motivators are thus often quiet delights, secret joys and urges to simply embrance the thauma of a game world, but they are rarely expressible as a single known quantity.
Players following intrinsic motivators are often culturally engaged with a game, feeling like they are participating in something worthwhile and uplifting. Often this is closely twinned with creative urges, and so intriniscally motivated players coud be described as enchanted (positive engagement) rather than retained (negative engagement). They are also the most likely kind of player to envagelise your marketing story.