Mathematical Economics Apr 2026

Critical Mathematical Economics and Progressive Data Science

: Modeled as a graduate-level lecture, this paper explains how mathematical concepts like utility functions , fixed-point theorems , and Arrow's impossibility theorem are used to provide a logical framework for economic intuition.

(2025): Explores how consumer choices are not independent but are influenced by firm supply and information about the state of the economy. Mathematical Economics

: Focuses on the Lagrange multiplier method for optimizing functions under constraints and explains the importance of Brouwer's and Kakutani's fixed-point theorems in supply and demand theory.

These papers cover the core mathematical methods used to structure economic models, such as optimization and equilibrium. These papers cover the core mathematical methods used

(2025): A more advanced look at how fractional calculus —which handles "non-local" properties—can be applied to financial models and complex economic processes. Historical & Critical Perspectives

(2024): Reviews the progression of growth models, including the Solow–Swan , Lucas , and Mankiw–Romer–Weil models, highlighting how mathematical precision drives economic theory. including the Solow–Swan

(2025): Discusses the potential for Critical Mathematical Economics (CME) , focusing on how mainstream models like Dynamic Stochastic General Equilibrium (DSGE) are used in policy controversies.