A game that has some of or all of the mechanics: Limited interaction or the ability to be played without interaction, rapid growth - often exponential, prestige mechanic(s), An end goal/mission or a general goal of getting a higher amount of currency, and a system of buying and upgrading buildings, units, or similar.
A subgenre of the adventure game, point-and-click games typically involve interacting with background objects, talking to non-player characters, and using an item inventory to solve puzzles that allow the player to progress through the story.
