Information Geometry in Roegenian Economics

Area of Science:

• Economics
• Statistical Mechanics
• Information Geometry

Background:

• The Roegenian manifold models income distribution from noninteracting economic actors.
• Understanding economic manifold geometry offers insights into market dynamics.

Purpose of the Study:

• To characterize the statistical Roegenian manifold geometry for ideal income.
• To provide a comparative analysis with the Van der Waals income model.

Main Methods:

• Analysis of partition function in distribution.
• Calculation of scalar curvature.
• Geodesic analysis on the manifold.

Main Results:

• Detailed characterization of the ideal income Roegenian manifold.
• No phase transition observed in the ideal income model.
• Geometric insights contrasting with the Van der Waals model.

Conclusions:

• The ideal income Roegenian manifold geometry is fully characterized.
• The study highlights differences with economic models exhibiting phase transitions, like Van der Waals income.