Partial differential equation models in macroeconomics

Yves Achdou; Francisco J. Buera; Jean Michel Lasry; Pierre Louis Lions; Benjamin Moll

doi:10.1098/rsta.2013.0397

Partial differential equation models in macroeconomics

Yves Achdou
, Francisco J. Buera
, Jean Michel Lasry
, Pierre Louis Lions
, Benjamin Moll

Research output: Contribution to journal › Article › peer-review

151 Scopus citations

Abstract

The purpose of this article is to get mathematicians interested in studying a number of partial differential equations (PDEs) that naturally arise in macroeconomics. These PDEs come from models designed to study some of the most important questions in economics. At the same time, they are highly interesting for mathematicians because their structure is often quite difficult. We present a number of examples of such PDEs, discuss what is known about their properties, and list some open questions for future research.

Original language	English
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	372
Issue number	2028
DOIs	https://doi.org/10.1098/rsta.2013.0397
State	Published - Nov 13 2014

Keywords

Firm size distribution
Heterogeneous agents
Income and wealth distribution
Mean field games

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10.1098/rsta.2013.0397

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KW - Heterogeneous agents

KW - Income and wealth distribution

KW - Mean field games

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Partial differential equation models in macroeconomics

Abstract

Keywords

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