The Structural Architecture of Nash Equilibrium Collapse in Algorithmic Fabrics

This article is a Structural Diagnostic from the CFIM360™ research lattice. It provides a mechanistic, first-principles analysis of the vulnerability in modern multi-agent algorithmic systems—such as high-frequency trading networks—to systemic flash crashes. The work formalizes how state space compression under high-amplitude external signals forces functionally homogeneous agents into identical execution paths, collapsing the Nash equilibrium and leading to a terminal liquidity blackout. The analysis includes a mathematical model of the feedback loop, the convergence of strategy vectors, and the derivation of the Phase-Decoupling Boundary condition required to prevent collapse. This diagnostic is intended for systems architects, algorithmic engineers, and researchers seeking to understand and mitigate the structural fragility of coupled agent networks. The analysis is grounded in systems theory, game theory, and a physics-first approach to architectural design, linking directly to the broader CFIM360™ framework for coherence and structural integrity.