Trace dominance at high agent densities

Determine whether stigmergy-based environmental trace coordination surpasses memory-augmented coordination in the decentralized multi-agent grid system at agent densities greater than 0.25 agents per cell (ρ ∈ [0.25, 0.40]) on larger grid environments, and ascertain the conditions under which trace dominance emerges.

Background

The paper develops and empirically validates a phase transition theory predicting a critical agent density (ρc ≈ 0.23) where stigmergic trace-based coordination becomes competitive with, and on large grids superior to, memory-augmented coordination. While validation spans ρ up to 0.30 on various grid sizes, the authors highlight uncertainty about the regime just above 0.25, where convergence trends suggest possible further trace dominance.

This question targets the high-density behavior of the system in larger environments, probing whether stigmergy ultimately surpasses memory-centric architectures in performance and under what specific density ranges and grid scales this occurs.