The Economist's Gradient: A Theory Overview — One Production Function, One Entropy, Three State Variables

The CES production function is not a convenient assumption. It is a theorem—the unique aggregation function compatible with constant returns to scale and scale consistency. Its single curvature parameter K = (1−ρ)(J−1)/J simultaneously controls nine economic phenomena: superadditivity, correlation robustness, strategic independence, network scaling, two-sided pricing, shortage-surplus asymmetry, knockout robustness, primal-dual conservation, and network viability. Under information friction T, the CES potential Φ_q = Φ_CES(ρ) − T·S_q generates a landscape whose effective curvature degrades as K_eff = K(1 − T/T*)+. Adjustment dynamics are gradient descent on this landscape, yielding conservation laws, early warning signals, and a ρ-ordered recession sequence. Making the number of participants J endogenous produces fold bifurcations, hysteresis, and discontinuous adoption. Multi-sector economies with timescale separation are forced into hierarchical architectures whose welfare properties are governed by an eigenstructure bridge between technology and welfare Hessians. The damping cancellation theorem—that local regulation has zero net welfare effect—follows algebraically, implying an upstream reform principle. This document states the main results without proofs, serving as a map to the nine underlying papers.