Strategic Scaling: A Game-Theoretic Framework for the Principle of Scale in Complex Systems

This paper presents a new theoretical framework that integrates scale as a transformation operatorin game-theoretic systems. We define a Scale Operator S_k that alters the structure of a game,affecting players, strategies, payoffs, and information. We introduce a Double Bind Index (DBI) tocapture cross-scale strategic contradictions. Through a taxonomy of scale-sensitive games andcase studies in AI policy, the paper shows how equilibrium strategies can break down, invert, ortrigger cascading failure as systems grow in size or complexity. This preprint has been published onZenodo to establish a public record prior to submission to arXiv and journals.