Nonlinear Models of Fluctuating Growth PDF Download

Author: R.M. Goodwin
Publisher: Springer Science & Business Media
ISBN: 3642455727
Category : Business & Economics
Languages : en
Pages : 299

View

Book Description

Author: J. Barkley Rosser
Publisher: Springer Science & Business Media
ISBN: 9401716137
Category : Business & Economics
Languages : en
Pages : 313

View

Book Description
From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.

Author: Peter Flaschel
Publisher: Routledge
ISBN: 1134057571
Category : Business & Economics
Languages : en
Pages : 385

View

Book Description
Richard Goodwin was a pioneer in the use of mathematical tools to understand the dynamics of capitalist economies. This book contains contributions which focus on the rigorous extension of Goodwin’s modelling of macro-dynamics and the micro-structures underlying them, and also research with a wider perspective related to Goodwin’s vision of an integrated Marx-Keynes-Schumpeter (M-K-S) system of the dynamics of capitalist economies. The variety of approaches in this book range from detailed business cycle analyses to Schumpeterian processes of creative destruction. They include thorough theoretical analysis of delayed dynamical systems. empirical studies of Goodwin’s classical growth cycle model and the integration of Keynesian aspects of effective demand and of financial mechanisms that impact the real macro-economy. micro-economic structural analysis. expectations driven aspects of micro-founded business cycle modelling

Author: Giancarlo Gandolfo
Publisher: Springer Science & Business Media
ISBN: 9783540627609
Category : Business & Economics
Languages : en
Pages : 712

View

Book Description
Treating the mathematical methods used in the economic dynamics, this book shows how they are utilised to build and analyse dynamical models. Accordingly, the focus is on the methods, and every new mathematical technique introduced is followed by its application to select economic models. The mathematical methods coveredc range from elementary linear difference and differential equations and simultaneous systems to the qualitative analysis of non-linear dynamical systems. Stability considerations are stressed throughout, including many advanced topics. Bifurcation and chaos theory are also dealt with. The reader is guided through a step-by-step analysis of each topic, be it a mathematical method or an economic model. The Study Edition also provides the reader with solutions to the numerous exercises.

Author: Michel Beaud
Publisher: Routledge
ISBN: 1134711514
Category : Business & Economics
Languages : en
Pages : 795

View

Book Description
Economic Thought Since Keynes provides a concise overview of changing economic thought in the latter part of the twentieth century. Part 1 gives an analysis of topics including: * Keynes and the General Theory, * the triumph of interventionism, * the neoclassical synthesis, * the resurgence of liberalism. Part 11 gives a concise biography of the 150 most influential economists since Keynes. This invaluable book will be a useful reference tool for anyone teaching or studying economics.

Author: Pierre N.V. Tu
Publisher: Springer Science & Business Media
ISBN: 3662027798
Category : Business & Economics
Languages : en
Pages : 257

View

Book Description
Dynamic tools of analysis and modelling are increasingly used in Economics and Biology and have become more and more sophisticated in recent years, to the point where the general students without training in Dynamic Systems (DS) would be at a loss. No doubt they are referred to the original sources of mathematical theorems used in the various proofs, but the level of mathematics is generally beyond them. Students are thus left with the burden of somehow understanding advanced mathematics by themselves, with· very little help. It is to these general students, equipped only with a modest background of Calculus and Matrix Algebra that this book is dedicated. It aims at providing them with a fairly comprehensive box of dynamical tools they are expected to have at their disposal. The first three Chapters start with the most elementary notions of first and second order Differential and Difference Equations. For these, no matrix theory and hardly any calculus are needed. Then, before embarking on linear and nonlinear DS, a review of some Linear Algebra in Chapter 4 provides the bulk of matrix theory required for the study of later Chapters. Systems of Linear Differ ential Equations (Ch. 5) and Difference Equations (Ch. 6) then follow to provide students with a good background in linear DS, necessary for the subsequent study of nonlinear systems. Linear Algebra, reviewed in Ch. 4, is used freely in these and subsequent chapters to save space and time.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

View

Book Description

Author: Bernd Süssmuth
Publisher: Springer Science & Business Media
ISBN: 3790827185
Category : Business & Economics
Languages : en
Pages : 167

View

Book Description
The book provides a thorough and sophisticated descriptive analysis of business cycles in a historical perspective. The study is based on the latest available time series as well as latest techniques from the frequency domain. A combined univariate and bivariate analysis is conducted on the national as well as supranational (G7- and Euro-Area wide) level. Issues of stability, volatility, and cyclicality are investigated jointly. An extensive analysis of US manufacturing investment series on the fairly disaggregated four-digit level highlights the limits of linear models to capture the sectoral aggregation process. Synchronization is modelled by a mode-locking mechanism of industrial investment cycles induced by informational externalities. The model in its stochastic version is numerically simulated to assess an agreement between model and data.

Author: David Batten
Publisher: Springer Science & Business Media
ISBN: 3662025221
Category : Business & Economics
Languages : en
Pages : 389

View

Book Description
Since the beginning of the fifties, the ruling paradigm in the discipline of economics has been that of a competitive general equilibrium. Associated dynamic analyses have therefore been preoccupied with the stability of this equilibrium state, corresponding simply to studies of comparative statics. The need to permeate the boundaries of this paradigm in order to open up new pathways for genuine dynamic analysis is now pressing. The contributions contained in this volume spring from this very ambition. A growing circle of economists have recently been inspired by two distinct but complementary sources: (i) the pathbreaking work of Joseph Schumpeter, and (ii) recent contributions to physics, chemistry and theoretical biology. It turns out that problems which are firmly rooted in the economic discipline, such as innovation, technological change, business cycles and economic development, contain many clear parallels with phenomena from the natural sciences such as the slaving principle, adiabatic elimination and self-organization. In such dynamic worlds, adjustment processes and adaptive behaviour are modelled with the aid of the mathematical theory of nonlinear dynamical systems. The dynamics is defined for a much wider set of conditions or states than simply a set of competitive equilibria. A common objective is to study and classify ways in which the qualitative properties of each system change as the parameters describing the system vary.

Author: Yuji Aruka
Publisher: Springer Science & Business Media
ISBN: 3790826189
Category : Business & Economics
Languages : en
Pages : 278

View

Book Description
As the real world is rapidly becoming more and more complicated, economists need to venture beyond the boundaries of mainstream economics and integrate philosophical thought and complexity into their analytical frameworks. In this context, this volume brings together papers on economic theory and its related issues, exploring complex production systems and heterogeneously interacting human behavior. The author challenges economists to integrate economic theory and moral science anew by referring to evolutionary economics and socio-econophysics. The three parts of the book focus on the complexities of production and social interaction, the moral science of heterogeneous economic interaction, and the Avatamsaka’s dilemma of the two-person game with only positive spillovers.