Explore how output imbalance and parameter assumptions impact economic equilibrium, with proof through the Jensen-Chebyshev inequality.

Proofs on long-run profits, labor supply, and elasticity in economic growth models, with insights into the relationship between profits and labor supply

Explore the implications of non-stochastic equilibrium, economic growth, and de-trending, highlighting the conditions for balanced growth.

Explore how economic shocks affect inflation, demand, and supply, with a focus on why inflation only responds temporarily to these changes.

Learn how economic puzzles, policy, and persistence influence first-order dynamics, with proofs on interest rates, demand shocks, and welfare theorems.

Learn how the state space form of a non-linear model is derived, focusing on the Phillips curve, inflation, and rational expectations.

Learn how cost minimization is achieved in competitive markets with firm-specific labor and the role of marginal cost in production.

Discover De Rham Cohomology and its role in topological and algebraic models, focusing on differential forms and their applications.

Explore the basics of category theory and how it applies to both math and economics, including real-world examples like the Lucas critique.

Learn the basics of homology groups and their role in algebraic topology, explained in simple terms for beginners.