Sections / Section 11: Dynamics and Business Cycles / cesCriticalStep

CES Critical Step

defprovedDynamics & Crises

Documentation

Lean 4 Proof

def cesCriticalStep (J : ℕ) (ρ c : ℝ) : ℝ :=
  criticalStepSize (abs (cesEigenvaluePerp J ρ c))

Dependency Graph

Used by

cesCriticalStep_eq eos_curvature_determines_step ces_period_two_at_critical cesCriticalStep_increasing_in_rho eos_at_boundary ces_stable_iff cesCriticalStep_via_curvatureK

Location

thesis/CESProofs/Dynamics/DiscreteStability.lean:121

Module Section

Discrete-Time Stability of CES Tâtonnement (Edge of Stability)

In the same file

iterationMultiplier criticalStepSize abs_iterMul_lt_one_iff iterMul_eq_neg_one_at_critical one_lt_abs_iterMul_above_critical iterMul_in_unit_interval iterate_tendsto_zero iterate_norm_tendsto_top period_two_oscillation cesEigenvaluePerp_neg cesEigenvaluePerp_abs_pos cesCriticalStep_eq ces_stable_iff ces_period_two_at_critical cesCriticalStep_increasing_in_rho cesCriticalStep_via_curvatureK eos_at_boundary eos_curvature_determines_step