Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling

Lectures Given at the COST Training School on New Economic Complex Geography at Urbino, Italy, 17-19 September 2015
1. Auflage 2016
ISBN: 978-3-319-33274-1
Verlag: Springer International Publishing

Buch, Englisch, 327 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 6387 g

Reihe: Springer Proceedings in Complexity

The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling.

Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been incontinuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems.

The book is written for Ph.D. and master’s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.

Zielgruppe

Research

Autoren/Hrsg.

Bischi, Gian Italo

Radi, Davide

Panchuk, Anastasiia

Fachgebiete

• Geowissenschaften Geographie | Raumplanung Humangeographie Wirtschaftsgeographie
• Wirtschaftswissenschaften Volkswirtschaftslehre Wirtschaftspolitik, politische Ökonomie
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Wirtschaftstheorie, Wirtschaftsphilosophie
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Sozialwissenschaften Soziologie | Soziale Arbeit Soziologie Allgemein Empirische Sozialforschung, Statistik
• Sozialwissenschaften Politikwissenschaft Regierungspolitik Wirtschafts- und Finanzpolitik

Inhaltsverzeichnis

Qualitative Methods in Continuous and Discrete Dynamical Systems.- Some Aspects on Global Analysis of Discrete Time Dynamical.- Dynamical Analysis of Cournot Oligopoly Models: Neimark-Sacker bifurcation and Related Mechanisms.- Some Dynamical Models in Regional Economics: Economic Structure and Analytic Tools.- Dynamic Modeling in Renewable Resource Exploitation.- Dynamic Models of Financial Markets with Heterogeneous Agents.- A Dynamical Model of Proximal Development: Multiple Implementations.