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.

Rouche’s theorem conditions that prevent recursive equilibrium, detailing how roots outside the unit circle impact economic models and price dispersion.

Learn how eigenvalue equations impact economic models, with step-by-step explanations of the limiting and general forms in this essential derivation.

Learn how economists use equations to solve complex dynamic economic models with this beginner-friendly guide.

Deriving slope coefficients for Phillips curve, Euler equations, and price dispersion, while exploring trend inflation and boundary surface solutions.

Explore the Taylor Pricing model within Keynesian economics, highlighting staggered contracts, inflation dynamics, and their implications for pricing strategies

Explore the relationship between marginal costs and inflation, focusing on optimal pricing rules and the economic condition for minimizing long-run costs.

Learn how the Lucas Critique impacts the Rotemberg model and what real-world frictions mean for economic predictions and output.

Explore how price changes, demand, and markups influence inflation and economic models, backed by real-world evidence and microeconomic insights.

Explore how variations in structural parameters affect the Phillips curve's slope coefficients.

Discover how empirical robustness in macroeconomic modeling hinges on parameter selection, addressing uncertainty, and refining the Phillips curve.

Explore unconventional monetary policies, focusing on persistence elimination, demand shocks, and the interplay between inflation and output smoothing

Discover the Calvo Wage Phillips Curve, exploring wage rigidity, labor unions, and their role in economic models used by central banks.

Explore how trend inflation volatility shapes economic predictions and why changes in inflation targets matter for long-term stability.