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Partial differential equation models in macroeconomics

Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin (2014), Partial differential equation models in macroeconomics, Philosophical Transactions. Physical, Mathematical and Engineering Sciences, 372. 10.1098/rsta.2013.0397

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Type
Article accepté pour publication ou publié
Date
2014
Journal name
Philosophical Transactions. Physical, Mathematical and Engineering Sciences
Volume
372
Publisher
Royal Society of London
Publication identifier
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Author(s)
Achdou, Yves
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Buera, Francisco J.

Lasry, Jean-Michel
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Lions, Pierre-Louis

Moll, Benjamin
Department of Economics - Princeton University
Abstract (EN)
The purpose of this article is to get mathematicians interested in studying a number of 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.
Subjects / Keywords
heterogeneous agents; mean field games; income and wealth distribution; firm size distribution