theorem deviationGain_eq_K (hJ : 2 ≤ J) (ρ c : ℝ)
(hc : c ≠ 0) :
deviationGain J ρ c =
curvatureK J ρ / (2 * (↑J - 1) * c) := by
simp only [deviationGain, curvatureK]
have hJne : (↑J : ℝ) ≠ 0 := Nat.cast_ne_zero.mpr
(by omega)
have hJm1_ne : (↑J : ℝ) - 1 ≠ 0 := by
have : (1 : ℝ) < ↑J := by exact_mod_cast
(by omega : 1 < J)
linarith
field_simpMulti-Agent CES Game Theory (Gap #14)