Solve nonlinear heterogeneous agent models using automatic differentiation
Econpizza is a framework to solve and simulate fully nonlinear perfect foresight models, with or without heterogeneous agents. A parser allows to express economic models in a simple, high-level fashion as yaml-files. Generic and robust routines for steady state search are provided.
The baseline method for representative agent models builds on the shooting methods of, e.g., Boucekkine (1995) and Juillard (1996). It is faster and more reliable than the nonlinear solver in dynare due to the use of a Newton method in combination with automatic differentiation and efficient jacobian decompositions. Nonlinear perfect-foresight transition dynamics can - even for large-scale nonlinear models with several occassionally binding constraints - be computed in less than a second.
The package can solve nonlinear models with heterogeneous agents, such as HANK models with portfolio choice. Steady state and nonlinear impulse responses (including, e.g., the ELB) can typically be found within a few seconds. The approach to deal with heterogeneity extends the Sequence-Space Jacobian method (Auclert et al., 2022, ECMA) to fully nonlinear models by iteratively using jacobian-vector producs to construct the inverse jacobian during each Newton iteration. This not only allows to study the dynamics of aggregate variables, but also the complete nonlinear transition dynamics of the distribution of assets across agents.
The package builds heavily on automatic differentiation via JAX.
A central philosophy of this package is to consequently separate the low-level routines for model solution (which is what happens under the hood) from
model specification (via a yaml file) and the
high-level interface for model simulation and analysis (what the user does with the model).
A model parser allows for the simple and generic specification of models (with or without heterogeneity) in yaml format.
The documentation and some tutorials can be found here.
Installing the repository version from PyPi is as simple as typing
pip install econpizzain your terminal or Anaconda Prompt.
Econpizza needs JAX to be installed. This is not a problem for MacOS and Linux, but the time for JAX to fully support Windows has not yet come. Fortunately, there is help out there (see this link for the somewhat cryptic original reference). To install JAX, run
pip install "jax[cpu]===0.3.25" -f https://whls.blob.core.windows.net/unstable/index.html --use-deprecated legacy-resolverprior to installing Econpizza. Econpizza should then run just fine (proof).
In case you run into an error with ptxas (like in this case), a workaround is to disable CUDA by running the following before importing econpizza or JAX:
import os; os.environ["CUDA_VISIBLE_DEVICES"] = "-1"econpizza is developed by Gregor Boehl to simulate nonlinear perfect foresight models. Please cite it with
@Misc{boehl2022pizza,
title = {Econpizza: solving nonlinear heterogeneous agents models using machine learning techniques},
author = {Boehl, Gregor},
howpublished = {\url{https://econpizza.readthedocs.io/_/downloads/en/latest/pdf/}},
year = {2022}
}
For the Boehl-Hommes method: Boehl and Hommes (2021). Rational vs. Irrational Beliefs in a Complex World. IMFS Working papers
@techreport{boehl2021rational,
title = {Rational vs. Irrational Beliefs in a Complex World},
author = {Boehl, Gregor and Hommes, Cars},
year = 2021,
institution = {IMFS Working Paper Series}
}
I appreciate citations for econpizza because it helps me to find out how people have been using the package and it motivates further work.