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Pierre-Louis Lions

Emeritus Professor · Collège de France

Mathematician at the Collège de France, holder of the statutory chair in Partial Differential Equations and Applications (2002-2026), now listed as emeritus. His co-authored work applies PDE methods, including mean field games, to macroeconomics.

2 papers tracked 2 classics ⌁ Follow this author

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Published Classic Review of Economic Studies Online 6 Apr 2021 Published Jan 2022

Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach

Yves Achdou · Jiequn Han · Jean-Michel Lasry · Pierre-Louis Lions · Benjamin Moll

This paper recasts the Aiyagari-Bewley-Huggett incomplete-markets model in continuous time, showing it reduces to a coupled system of a Hamilton-Jacobi-Bellman equation and a Kolmogorov Forward …

Heterogeneous Agent Macro Free Read ↗

Published Classic Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Online 13 Nov 2014 Published Nov 2014

Partial differential equation models in macroeconomics

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

Written explicitly to get mathematicians interested in macroeconomics, this review collects the systems of coupled nonlinear partial differential equations that arise once a macro model tracks a whole …

Heterogeneous Agent Macro Methodology Inequality Economic Growth Firm Dynamics Macro Dynamics Free Read ↗