Economic Dynamics and Distributions
Differential Equations, Optimal Control and Applications
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Beschreibung
This textbook introduces readers to the economic dynamics of growth and distribution and presents dynamic mathematical tools essential to understanding various economic phenomena. From ordinary differential equations to partial differential equations and stochastic differential equations, it guides readers through the mathematical landscape. Optimization problems are also highlighted, from maximizing static functionals to optimal control problems involving systems governed by the previously mentioned types of differential equation. The applications of these formal structures cover various areas of economics, including macroeconomics, growth theory, microeconomics, spatial economics, finance, income and wealth distribution, and social mobility.
Written primarily for Master’s and Ph.D. students, the book also offers a comprehensive reference guide for economists and applied mathematicians alike.
This textbook introduces readers to the economic dynamics of growth and distribution and presents dynamic mathematical tools essential to understanding various economic phenomena. From ordinary differential equations to partial differential equations and stochastic differential equations, it guides readers through the mathematical landscape. Optimization problems are also highlighted, from maximizing static functionals to optimal control problems involving systems governed by the previously mentioned types of differential equation. The applications of these formal structures cover various areas of economics, including macroeconomics, growth theory, microeconomics, spatial economics, finance, income and wealth distribution, and social mobility.
Written primarily for Master’s and Ph.D. students, the book also offers a comprehensive reference guide for economists and applied mathematicians alike.
Teaches mathematical tools essential to understanding various economic phenomena Introduces readers to the mathematics of ordinary, partial, and stochastic differential equations Applies these formal structures to macroeconomics, growth theory, microeconomics, spatial economics, and other areas
Autor*in
Paulo B. Brito
Themen in »Economic Dynamics and Distributions«
mathematical economics econometrics economic modelling growth theory spatial economics wealth distribution ordinary differential equations optimal control first-order partial differential equations parabolic partial differential equations stochastic differential equations Fokker-Planck equations Hamilton-Jacobi Bellman equations economic dynamics dynamic macroeconomics