Suchergebnisse

Part I: Introductory Matter -- 1.Utility and Demand -- 2.Elements of Production -- Part II: Models -- 3.Cournot I: Constant Returns -- 4.Cournot II: Returns to Scale and Stability -- Bertrand -- 6.Stackelberg -- 7.Hotelling Duopoly -- 8.Disequilibrium Trade and Pricing of Durable Commodities -- 9.Macroeconomics and the Trade Cycle -- Part III: Model Stubs -- 10.Introduction to the Stubs -- 11.Caudex Primus -- 12.Caudex Secundus -- 13.Caudex Tertius -- 14.Caudex Quartus -- 15.Caudex Quintus -- 16.Caudex Sextus -- 17.Caudex Septimus -- 18 -- Caudex Octavus -- 19.Caudex Nonus -- 20.Caudex Decimus -- 21.Caudex Undecimus -- 22.Caudex Duodecimus.

This book discusses mathematical models for various applications in economics, with a focus on non-linear dynamics. Based on the author's over 50 years of active work in the field, the book has been inspired by models from the period between 1920 and 1950. Following a brief introduction to economics for mathematicians and other modelers, it assembles a repository of useful specific functions for global dynamic modeling. Furthermore, twelve "research stubs"--Outlined research agendas that have not yet been fully worked on - are suggested for further study and could even be expanded to entire research projects. The book is a valuable resource, particularly for young scientists who are skilled in mathematical and computational techniques and are looking for applications in economics.

The first part of this book is an introduction to the mathematical methods of modern nonlinear dynamics. It deals with differential equations, ordinary and partial, iterated maps, and bifurcation theory. The second part focuses applications to economics and regional science. Topics such as business cycles, oligopoly, interregional trade, and economic development theory are included. Bifurcation analysis, and studies of the various attractors, with their basins, provide the core, both of the background material and the applications. Coexistence of attractors and multiplicity of development paths are emphasized throughout. The chapters devoted to spatial applications focus the emergence of geographical patterns