Cut-and-choose is known as the "pie rule" in the abstract gaming world.

For games with a clear first move advantage the pie rule is sometimes applied to balance the game. The first player moves, and the second player then has a choice of continuing the game or switching sides. It is therefore in the best interests of the first player to choose a fair move.

Naturally, this only works if the first move possibilities include moves that range from good to bad.

Still, it's a nice example of a meta rule that can be applied to most games.