VNAE: A geometric approach to global stability in massive multi-agent systems with asymmetric dissipation, validated at scale.

This repository contains the complete supplementary material for the canonical/quadratic example of the VNAE framework.

VNAE-Blockchain-Consensus-Dynamics explores the geometric stability of decentralized consensus protocols under heterogeneity, network sparsity, and persistent adversarial forcing.

Interactive Monte Carlo simulation of the VNAE framework. A visual playground to test how Theta and Beta parameters influence win rates in asymmetric systems.

Geometric model of asymmetric coordination in biological systems under the Victoria-Nash Asymmetric Equilibrium (VNAE) framework.

Minimal R implementation of asymmetric consensus dynamics inspired by the Victoria-Nash Asymmetric Equilibrium (VNAE) framework

Practical example of the Victoria-Nash Asymmetric Equilibrium (VNAE) applied to multi-agent drone control. Paper: "Riemmanian Manifolds of Asymmetric Equilibria: The Victoria-Nash Geometry".

Abstract model of rhythm synchronization driven by asymmetric dissipation under VNAE.

Minimal/canonical 1D vehicle platooning example illustrating asymmetry-induced stability under the VNAE framework.

Asymmetric liquidity flow dynamics in financial networks, interpreted via effective geometry and stability under the Victoria-Nash Asymmetric Equilibrium (VNAE).

This repository explores the geometric stability of complex biochemical networks using the VNAE framework.

Victoria-Nash Asymmetric Equilibrium (VNAE) framework for massive multi-agent systems. Scalable stability analysis for 10,000+ agents using Riemannian geometry and structural curvature K.

🛠️ Develop a coordination model using VNAE to analyze asymmetric protocols for stable global behavior in complex systems.