theorem universal_stability_complements {ρ : ℝ} (hρ0 : 0 < ρ) (hρ : ρ < 1)
(sj : ℝ) (hs_nn : 0 ≤ sj) (_hs_le : sj ≤ 1) :
isLocallyStable ρ sj := by
unfold isLocallyStable
have h1 : 1 - 2 * sj ≤ 1 := by linarith
have h2 : ρ * (1 - 2 * sj) ≤ ρ := by nlinarith
linarithMulti-Agent CES Game Theory (Gap #14)