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Business cycle theory has been one of the fastest growing fields in modern nonlinear economic dynamics. The book is centered around models of multiplier-accelerator type, emerging from Samuelson's seminal work, later developed into nonlinear formats by Hicks and Goodwin. These models left open ends, as the tools then available did not permit more systematic analysis. The present situation is different, due to the emergence of new methods also focusing global analysis. The focus on classical, causal or recursive models implies a deviation from current main stream business cycle theory, based on "rational expectations", which in view of the possibility of mathematical chaos becomes untenable. This book is a rejoinder to Puu and Sushko, Oligopoly Dynamics - Models and Tools, (Springer 2002).
Business cycles --- Economics --- Mathematical models --- Economic cycles --- Economic fluctuations --- Cycles
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Oligopolies --- Statics and dynamics (Social sciences) --- Mathematical models. --- Mathematical models.
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The essays in this special volume survey some of the most recent advances in the global analysis of dynamic models for economics, finance and the social sciences. They deal in particular with a range of topics from mathematical methods as well as numerous applications including recent developments on asset pricing, heterogeneous beliefs, global bifurcations in complementarity games, international subsidy games and issues in economic geography. A number of stochastic dynamic models are also analysed. The book is a collection of essays in honour of the 60th birthday of Laura Gardini.
Economics, Mathematical --- Stochastic analysis. --- Differential equations, Nonlinear. --- Econometrics --- Economics --- Finance --- Social sciences --- Research. --- Mathematical models. --- Finance. --- Difference equations. --- Functional equations. --- Economics, Mathematical. --- Statistics. --- Economic theory. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Difference and Functional Equations. --- Finance, general. --- Quantitative Finance. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Statistics --- Nonlinear differential equations --- Nonlinear theories --- Analysis, Stochastic --- Mathematical analysis --- Stochastic processes --- Mathematical economics --- Mathematics --- Methodology --- Statistics for Business, Management, Economics, Finance, Insurance. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Funding --- Funds --- Currency question --- Equations, Functional --- Functional analysis --- Economic theory --- Political economy --- Economic man --- Economics, Mathematical . --- Statistics . --- Calculus of differences --- Differences, Calculus of --- Equations, Difference
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