For alternatives to “diagonalization,” the term “next-leveling” is less ambiguous than just “leveling”, IMO. It more directly suggests increased depth of counter-modeling / meta-cognitive exploitation.
A more obscure option is “Yomi”. Yomi (読み, literally “reading” in Japanese) is already established terminology for recursive prediction. In fighting games, yomi layers represent recursive depths of prediction (layer 1: predicting their action, layer 2: predicting their prediction of your action, etc.).
As a card game: https://www.sirlin.net/articles/designing-yomi
Should be “greater than or equal to all the values in the set” or a closed interval like [0,1] has no supremum.