So far through eleven seasons we have seen five distinct formats:
Territory Capture (One, Four and Ten), where teams sought to gain territory and win by doing so
Race (Two, Five and Eight), where teams, um, raced between two points
Chase (Three, Seven and Eleven), where the main game element is the hunting of one of the players (even though the victory condition was not directly related to this)
Object Capture (Six), which in the one example was Capture the Flag but could be any game where the objective is neither a player nor a physical location
Hide and Seek (Nine), similar to Chase, but the sought player can't move and their location is unknown to the seekers.
I will close this market as soon as one of the following happens:
Episode One drops on Nebula
An episode of the Layover explains the format
A trailer reveals the format (beyond reasonable doubt)
Sam Wendover makes a statement that reveals the format (beyond reasonable doubt)