Additive Separability, Optimization, and Trivial Webs

TL;DR

This paper links the economic hypotheses of integrability and additive separability to the geometric concept of curvature in webs, revealing a fundamental connection between these problems.

Contribution

It establishes a novel geometric framework connecting two key economic hypotheses through the concept of curvature in webs.

Findings

Integrability and additive separability are linked via web curvature.

Absence of curvature corresponds to additive separability.

The geometric approach unifies different economic hypotheses.

Abstract

In this paper we show that two seemingly unrelated problems in economics, the hypothesis of integrability and the hypothesis of additive separability are linked by the absence of curvature of connections on webs naturally associated with each problem.