
pmid: 25288811
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.
income and wealth distribution, equilibrium interaction, 330, Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance, mean field games, Analyse, macroeconomics, 510, Stochastic games, stochastic differential games, Other game-theoretic models, 515, PDEs in connection with game theory, economics, social and behavioral sciences, Games with infinitely many players, system of coupled nonlinear PDEs, Macroeconomic theory (monetary models, models of taxation), partial differential equations, Heterogeneous agent models, firm size distribution, Fundamental topics (basic mathematics, methodology; applicable to economics in general), heterogeneous agents
income and wealth distribution, equilibrium interaction, 330, Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance, mean field games, Analyse, macroeconomics, 510, Stochastic games, stochastic differential games, Other game-theoretic models, 515, PDEs in connection with game theory, economics, social and behavioral sciences, Games with infinitely many players, system of coupled nonlinear PDEs, Macroeconomic theory (monetary models, models of taxation), partial differential equations, Heterogeneous agent models, firm size distribution, Fundamental topics (basic mathematics, methodology; applicable to economics in general), heterogeneous agents
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