Sections / Section 11: Dynamics and Business Cycles / iterationMultiplier

Iteration Multiplier

defprovedDynamics & Crises

Documentation

Lean 4 Proof

def iterationMultiplier (η lam : ℝ) : ℝ := 1 - η * lam

Dependency Graph

Used by

ces_period_two_at_critical iterMul_eq_neg_one_at_critical ces_stable_iff iterMul_in_unit_interval one_lt_abs_iterMul_above_critical abs_iterMul_lt_one_iff

Location

thesis/CESProofs/Dynamics/DiscreteStability.lean:29

Module Section

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

In the same file

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 cesCriticalStep_eq ces_stable_iff ces_period_two_at_critical cesCriticalStep_increasing_in_rho cesCriticalStep_via_curvatureK eos_at_boundary eos_curvature_determines_step