Mathematical Economics 〈High-Quality - Hacks〉
These papers explore how mathematics became the dominant language of economics and the challenges this shift created.
(2024): Reviews the progression of growth models, including the Solow–Swan , Lucas , and Mankiw–Romer–Weil models, highlighting how mathematical precision drives economic theory.
: Investigates the "watershed moment" between the 1940s and 1960s when mathematics was formally integrated into the economics curriculum in the United States. Mathematical Economics
(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.
: 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. These papers explore how mathematics became the dominant
Critical Mathematical Economics and Progressive Data Science
: Critiques "bad" mathematical economics, specifically models that ignore real-world phenomena like economic polarization and instability. Specific Applications Specific Applications : Focuses on the Lagrange multiplier
: 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.