Sburb: Epsilon

Sburb: Epsilon is the human name for the reality sandbox adventure game played by the human teens in Housetrapped. It is a universally-altered version of Sburb from Homestuck, where the premise is almost exactly the same, but it appeals to the house-arrested kids of Housetrapped with the house/lock-themed logo, which seems to offer freedom. The troll's version is named Sgrub: Epsilon, and both of the games have the same scenario.

Etymology
The name Sburb: Epsilon comes from the idea of Epsilon-equilibrium, or, "a strategy profile that approximately satisfies the condition of Nash equilibrium. In a Nash equilibrium, no player has an incentive to change his behavior. In an approximate Nash equilibrium, this requirement is weakened to allow the possibility that a player may have a small incentive to do something different."

This resembles the idea that none of the Sburb: Epsilon players want to listen to (insert horse gods name), despite them trying to help the players win their sessions. The players plan on keep doing the same thing they've been doing, which is messing around and basically ruining the session.

Along with this, epsilon is the 5th letter in the Greek alphabet, following the theme of Sburb/Sgrub games coincidentally being named after Greek letters.