CES Multiplier Pos

theorem proved Macroeconomics

Documentation

Lean 4 Proof

theorem cesMultiplier_pos {J : ℕ} (hJ : 2 ≤ J) {ρ d_sq : ℝ}
    (hρ : ρ < 1) (hd : 0 < d_sq) :
    0 < cesMultiplier J ρ d_sq :=
  mul_pos (curvatureK_pos hJ hρ) hd

Dependency Graph

Location

thesis/CESProofs/Potential/MacroApplications.lean:43

Module Section

Macroeconomic Applications of the CES Potential

In the same file

cesMultiplier cesMultiplier_decreasing_in_rho effectiveMultiplier effectiveMultiplier_nonneg effectiveMultiplier_decreasing_in_T effectiveMultiplier_zero_at_critical fiscal_multiplier_heterogeneity recession_depth_proportional_to_K sectoral_recession_ordering allocationDistortion allocationDistortion_nonneg allocationDistortion_at_zero allocationDistortion_at_critical allocationDistortion_monotone stagflation recession_dual_degradation