Sections / Section 14: Macro -- Two-Factor CES, Growth, Tax / capitalAccumulation

Capital Accumulation

defprovedMacroeconomics

Documentation

Lean 4 Proof

def capitalAccumulation (s δ Y K : ℝ) : ℝ := s * Y - δ * K

Dependency Graph

Used by

solowSteadyState_capitalShare tax_lowers_investment goldenRule_savings_eq_capitalShare steadyState_consumption_eq solowGoldenRule_savings steadyState_KY_eq capitalAccumulation_eq_zero_iff

Location

thesis/CESProofs/Macro/Accumulation.lean:31

Module Section

Accumulation Dynamics (Layer 2 of Macro Extension)

In the same file

eulerConsumptionGrowth afterTaxReturn steadyStateKY eulerSteadyStateReturn eulerSteadyStateMPK steadyStateConsumption capitalAccumulation_eq_zero_iff steadyState_KY_eq steadyStateKY_pos steadyStateKY_increasing_in_s steadyStateKY_decreasing_in_δ eulerConsumptionGrowth_eq_zero_iff eulerSteadyState_r_eq eulerSteadyStateReturn_pos eulerSteadyStateReturn_increasing_in_τ eulerConsumptionGrowth_pos_iff afterTaxReturn_decreasing afterTaxReturn_zero_tax afterTaxReturn_full_tax afterTaxReturn_pos