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Gopinath et al (2019)

Demonstration Static lagrangian $$\max_{C_{j,t}C_{ij,t}}C_{j,t} $$ $$s.t. \sum_{i}\frac{1}{|\Omega_i|}\int_{\omega\in\Omega} \gamma_{ij}\Upsilon\Big(\frac{|\Omega_i|C_{ij,t}(\omega)}{\gamma_{ij}C_{j,...
darel stevy's user avatar
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Resources for a Deep Dive into the New Keynesian / DSGE models

Wickens Macroeconomic Theory: A Dynamic General Equilibrium Approach, is good resource that has what you are looking for.
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