Explore a novel linearized Phillips curve around stochastic equilibrium, revealing higher-moment effects and implications for dynamic and statistical modeling.

Explore how price dispersion is proven through the convexity of the price aggregator using Jensen’s inequality in economic models.

Learn how the optimal reset price aligns with flexible price equilibrium under monopolistic competition, with insights on inflation and nominal rigidity.

Explore the standard derivation of product demand in monopolistic competition, based on the Armington and Dixit-Stiglitz models.

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.

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

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

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