These papers cover the core mathematical methods used to structure economic models, such as optimization and equilibrium.
(2024): Reviews the progression of growth models, including the Solow–Swan , Lucas , and Mankiw–Romer–Weil models, highlighting how mathematical precision drives economic theory. Mathematical Economics
: 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 cover the core mathematical methods used
(2025): Explores how consumer choices are not independent but are influenced by firm supply and information about the state of the economy. (2025): Explores how consumer choices are not independent
: 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.