The phrase "addictive nature" refers to the tendency or strong inclination of something to cause addiction, which means a strong and uncontrollable desire or dependency on it. Full definition
It's a surprising relief that there's no overt political message, other than the potentially addictive nature of war, which makes the thriller easy to immerse in. (awardscircuit.com)
It's a game where losing all your progress and equipment isn't something to make you never want to play the game again, due to its highly addictive nature. (metacritic.com)
There is a real addictive nature to the defeat of enemies by tapping them — its surprising how many hours you will lose simply tapping the screen. (useapotion.com)