Partial differential equation models in macroeconomics

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

Research output: Contribution to journalArticlepeer-review

109 Scopus citations


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 languageEnglish (US)
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2028
StatePublished - Nov 13 2014

All Science Journal Classification (ASJC) codes

  • General Engineering
  • General Physics and Astronomy
  • General Mathematics


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


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