3 papers
cs.GT2026
A General Equilibrium Theory of Orchestrated AI Agent Systems
Jean-Philippe Garnier
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 s…
math.GN2026
Fractal Algebraic Topology of Semantic Computation. A Peer-Review-Oriented Formalization of the SSTD/BrainiaK Concept Bundle
Jean-Philippe Garnier
This manuscript develops material from the internal French research notes Traite de Topologie Algebrique Fractale into an academic manuscript. The editorial rule is strict: impleme…
cs.MA2026
Agentic Hives: Equilibrium, Indeterminacy, and Endogenous Cycles in Self-Organizing Multi-Agent Systems
Jean-Philippe Garnier
Current multi-agent AI systems operate with a fixed number of agents whose roles are specified at design time. No formal theory governs when agents should be created, destroyed, or…