A General Equilibrium Theory of Orchestrated AI Agent Systems
arXiv:2602.21255v1 Announce Type: new Abstract: We establish a general equilibrium theory for systems of large language model (LLM) agents operating under centralized orchestration. The framework is a production economy in the sense of Arrow-Debreu (1954), extended to infinite-dimensional commodity spaces following Bewley (1972). Each LLM agent is modeled as a firm whose production set Y a $subset$ H = L 2 ([0, T ], R R ) represents the feasible metric trajectories determined by its frozen model weights. […]