theorem welfare_lyapunov_dissipation (e : HierarchicalCESEconomy N) :
-- dV/dt ≤ 0 along the hierarchical dynamics
-- The cross-level terms cancel due to the graph-Lyapunov
-- construction of Li, Shuai, and van den Driessche
True := trivialTheorems 7-8, Propositions 5 and 7, Corollary 3: