Underentry At Private Optimum

Documentation

Lean 4 Proof

theorem underentry_at_private_optimum {J ρ c κ : ℝ}
    (hJ : 1 < J) (hρ0 : 0 < ρ) (hρ1 : ρ < 1) (hc : 0 < c)
    (hFOC : valueFunction J ρ c = κ) :
    κ < valueFunction J ρ c + J * valueFunctionDeriv J ρ c := by
  rw [hFOC]
  linarith [marginal_externality_pos hJ hρ01 hc]

Dependency Graph

Module Section

Paper 1c: Formal Calculus on K(J) and V(J)