. The organizers of the ninth symposium, which produced the current proceedings volume, were Claude Hillinger at the University of Munich, Giancarlo Gandolfo at the University of Rome "La Sapienza," A. R. Bergstrom at the University of Essex, and P. C. B. Phillips at Yale University.

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.

Mathematical economics uses mathematical tools and reasoning to describe and explain economic reality. At the core of mathematical economics is general equilibrium theory. Static and Dynamic Aspects of General Disequilibrium Theory describes and analyses various general equilibrium models, treating theory from an axiomatic point of view, which may lead to a deeper understanding of problems, may help to avoid incorrect reasoning, and may improve communication within the economic science. This volume consists of four parts, each of which is self-contained. Part I deals with the mathematical and economic preliminaries. Part II considers the static aspects of disequilibrium theory. Part III determines price rigidities endogenously. Finally, Part IV deals with dynamic aspects of disequilibrium theory.

In this book on disequilibrium, growth and labor market dynamics we take predominantly a macroeconomic perspective. We present a working model that can easily be varied in different directions in order to subsume innovations in the literature on macroeconomics, old and new, and to contribute to important currently discussed macroeconomic issues. Our working model is set up in a way that there is a close relationship between our presented dynamic models and modern macro econometric models with disequilibrium both in the labor and the goods markets. One of our objectives is, therefore, to narrow the gap between theoretical and applied structural macrodynamic model building. We hope that the book will be a useful reference for all researchers, academic teachers and practitioners of macroeconomic and macro econometric model building who are interested in economic dynamics, independently of whether they use equilibrium or disequilibrium methods in their own research. We base this hope on the fact that our approach contains a number of unique features. The emphasis on the identification and analysis of the basic feedback mechanisms at work in modern macro economies. A detailed study of the partial as well as integrated dynamic interaction between these feedback mechanisms that consti tute the interdependence of markets and sectors of the modern macro economy. The rela tionship between the macroeconomic framework of our working model and the Walrasian, Non-Walrasian and New-Keynesian reformulations of macroeconomics.

In the first part of this book, we treat interacting and small open economies. We do this from an historical perspective, starting from the Classical model of the gold standard and the specie-flow mechanism and aim to show there that the Dornbusch IS-LM-PC approach, with or without rational expectations, can still be considered as a (if not the) core contribution to contemporaneous open economy macrodynamics, also on the level of structural macroeconometric model building. In the second part we then extend this analysis to the incorporation of more disequilibrium on the real markets, prominent further feedback channels of the macrodynamic literature and integrated macromodel building. We start from the closed economy, consider large open economies in a fixed exchange rate system, small open economies subject to high capital mobility, and finally two large interacting economies like the USA and Euroland. Our macrofounded approach extends and integrates non-market clearing traditions to macrodynamics and can be usefully compared with the New Keynesian approaches which are generally rigorously microfounded, but often much more limited in scope in capturing full market and agent interactions.