Agents competing to be in the minority — phase transition at critical memory
Step: 0 σ²/N: — Attendance: —
In the Minority Game N odd agents independently choose 0 or 1; those in the minority win. Each agent holds s strategies (lookup tables of history→action) and follows the best-scoring one. The key parameter is α=2^m/N: below critical α* agents over-coordinate (maladaptation, σ²>N/4); above it, coordination improves. Chart shows attendance time series.