Baumol Limit

theorem proved Curvature Roles

Documentation

Lean 4 Proof

theorem baumol_limit (g_C g_Z : ℝ) :
    baumolGrowthRate 1 g_C g_Z = g_Z := by
  unfold baumolGrowthRate; ring

Dependency Graph

Location

thesis/CESProofs/Applications/AITransition.lean:133

Module Section

Paper 6: Endogenous Decentralization and the AI Transition

In the same file

effectiveTrainingProductivity phieff_exceeds_phi0 phieff_ge_one_condition gcFunction gc_trivial_solution adoptionR0 adoption_threshold baumolGrowthRate baumol_bounded_below singularityTime singularity_time_pos two_period_overinvestment saturation_escape_rate effectiveAlpha_monotone_J collapse_at_J1 crossing_threshold_reexport