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.
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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.
The book contains a collection of papers presented at four special sessions of the 5th International Conference on Mathematical Modelling, held at the University of California, Berkeley in July 1985. The main theme of the volume is the application of dynamical systems theory and related mathematical approaches to fundamental problems of competitive behaviour, industrial restructuring and economic development. The volume assembles some recent advances in modelling which treat these economic problems from a dynamic viewpoint. Sections of the book are devoted to (1) competition and technological evolution, (2) industrial fluctuations and cycles, (3) accumulation and maintenance of capital, (4) location and spatial dynamics. Some of the contributions spring from ambitions to modify or reform basic elements of established economic theory. Approaches and concepts introduced in the models are inspired by the development of recent contributions in physics, chemistry and theoretical biology. However, the problems addressed are deeply rooted in economics with a particular focus on technological change, business cycles and economic development. The ideas of Joseph Schumpeter are a common source of inspiration for many of the authors. In the Schumpeterian spirit, all chapters are preoccupied with dynamic analysis of market economies and competition. The reader will find many new ideas and new models which may help to shape a new pathway for the theory of economic dynamics and related analyses.
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