General Weights

where is the Herfindahl index. Unequal weights reduce effective curvature.

Curvature Roles80
Impact Score
Economic Importance
8.0
Novelty
8.0
Theoretical Coverage
10.0
Empirical Coverage
7.0
Article Quality
9.0
Score Reasoning
Importance
Important supporting result. K(rho,a)=(1-rho)(1-H) generalizes the equal-weight curvature to arbitrary weights. All nine roles scale proportionally. Secular equation for eigenvalues.
Novelty
New result connecting Herfindahl index to CES curvature. The secular equation for general-weight eigenvalues is a new mathematical contribution.
Quality
Clear exposition of weight effects, Herfindahl connection, secular equation. Well-linked.