Explore the proofs of Theorems 3 and 4 in DSGE models, exploring compactness, eigenvalue configurations, and contradictions to establish stochastic equilibrium

Learn how Philips curve error coefficients are derived, their stochastic equilibrium connections, & the challenges of numerical approximations in macroeconomics

Explore the econometric challenges of slope coefficients in the log-linearized Phillips curve, addressing dynamic errors and price dispersion effects.

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.