Description
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.
Table of Contents
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.
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