Sections / Section 8: Applied Economics -- Elasticity, Demand, Trade / gainsFromVariety

Gains From Variety

defprovedFoundations

Documentation

Lean 4 Proof

def gainsFromVariety (J : ℕ) (ρ : ℝ) : ℝ :=
  (↑J : ℝ) ^ (1 / ρ - 1)

Dependency Graph

Used by

gainsFromVariety_eq_scaling_ratio gainsFromVariety_eq_trade_gains gainsFromVariety_gt_one

Location

thesis/CESProofs/Applications/Economics.lean:236

Module Section

Economics extensions for CES formalization:

In the same file

elasticityOfSubstitution sigma_pos sigma_gt_one sigma_eq_one_div sigma_rho_inverse curvatureK_eq_sigma dualExponent_eq_sigma sigma_substitutes factorShare factorShare_nonneg factorShare_sum_eq_one factorShare_symmetric_uniform factorShare_le_one escortDistribution factorShare_eq_escort escort_symmetric_eq_uniform qExpectation_eq_factorShare_weighted gainsFromVariety_eq_scaling_ratio gainsFromVariety_gt_one gainsFromVariety_eq_trade_gains