Price Faster Than Quantity

Documentation

Lean 4 Proof

theorem price_faster_than_quantity (e : TwoWorldEconomy N) (n : Fin N)
    (hr : 0 < sectorRelaxRate e.toNSectorEconomy n)
    (hbound : sectorRelaxRate e.toNSectorEconomy n < e.v_price n) :
    priceRelaxTime e n < quantityRelaxTime e n hr := by
  simp only [priceRelaxTime, quantityRelaxTime]
  exact one_div_lt_one_div_of_lt hr hbound

Dependency Graph

Module Section

Two-World Economy: Price vs. Production Timescale Separation