Sections / Section 13: Hierarchical Architecture / welfareContribution

Welfare Contribution

defprovedHierarchy

Documentation

Lean 4 Proof

def welfareContribution (sigma_prev delta beta_n : ℝ) : ℝ :=
  sigma_prev * delta ^ 2 / beta_n

Dependency Graph

Used by

reform_scaling_beta reform_scaling_sigma upstream_reform_beta commitmentGain commitment_resolves_inconsistency upstream_reform_beta_weighted upstream_reform_sigma_prev welfareContribution_nonneg reform_substitutability eff_welfare_at_full_margin damping_cancellation_J_independent

Location

thesis/CESProofs/Hierarchy/Defs.lean:226

Module Section

Core definitions for the Lean formalization of Paper 4:

In the same file

HierarchicalCESEconomy convergenceSpeed convergenceSpeed_pos ngmEntry ngmEntry_pos cycleProductBeta cycleProductBeta_pos welfareDistanceFn welfareDistanceFn_at_one welfareDistanceFn_nonneg welfareDistanceFn_eq_zero_iff welfareDistanceFn_strictly_convex treeCoefficient institutionalQuality institutionalQuality_pos welfareContribution_nonneg logisticElasticity logisticElasticity_zero logisticElasticity_half logisticElasticity_denom_pos