This paper extends the K-coefficient model of systemic crisis, introduced in Anatomy of Chaos: A Theoretical Framework for Forecasting the Morphology of Post-Crisis Regime, by integrating a game-theoretic layer that addresses a question the baseline model cannot answer: why do systems under comparable structural pressure follow divergent transitional paths? The K-coefficient, defined as the ratio of the Structural Stress Index (SSI) to the Structural Resilience Index (SRI), identifies the zone o

