Catchup, originally presented as Ketchup, is a simple abstract game with a devilish dynamic. The goal is to have the largest group of stones on the board when the board is full of stones, but as you get closer to winning, your opponent gets more powerful. Whereas most stone-placement games are about position, Catchup is about timing, position, and the interplay between them.
Source: Catchup on BGG.
Besides Asynchronous Multiplayer (sending each other turns) and Local Multiplayer (2 people on 1 device) the game also offers 20 levels of AI for Single Player.