theorem fitness_advantage_expands_basin {ρ : ℝ} (hρ : 1 < ρ)
{ωi ωj : ℝ} (_hωi : 0 < ωi) (hωj : 0 < ωj)
(hadv : ωj < ωi) :
1 < separatrixRatio ωi ωj ρ := by
unfold separatrixRatio
exact Real.one_lt_rpow ((one_lt_div hωj).mpr hadv)
(amplification_pos hρ)Multi-Agent CES Game Theory (Gap #14)