Global Analysis of Dynamic Models in Economics and Finance

1. Front Matter

   Pages i-xvi

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2. Problems and Trends in Global Economic Dynamics (Including Specific Examples)

   1. Front Matter

      Pages 1-1

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3. Problems and trends in global economic dynamics (including specific examples)

   1. Recent Developments in Asset Pricing with Heterogeneous Beliefs and Adaptive Behaviour of Financial Markets

      • Xue-Zhong He

      Pages 3-34

   2. Modeling House Price Dynamics with Heterogeneous Speculators

      • Roberto Dieci, Frank Westerhoff

      Pages 35-61

   3. A Reconsideration of the Formal Minskyan Analysis: Microfundations, Endogenous Money and the Public Sector

      • Carl Chiarella, Corrado Di Guilmi

      Pages 63-81

   4. Global Bifurcations in a Complementarity Game

      • Michael Kopel, Fabio Lamantia

      Pages 83-102

   5. A Little Help from My Friend: International Subsidy Games with Isoelastic Demands

      • Akio Matsumoto, Ferenc Szidarovszky

      Pages 103-132

   6. Pattern Formation in Economic Geography

      • Tönu Puu

      Pages 133-158

   7. A Three-Region New Economic Geography Model in Discrete Time: Preliminary Results on Global Dynamics

      • Pasquale Commendatore, Ingrid Kubin

      Pages 159-184

   8. Chaotic Dynamics in Organization Theory

      • Arianna Dal Forno, Ugo Merlone

      Pages 185-204

   9. One-Dimensional Discontinuous Piecewise-Linear Maps and the Dynamics of Financial Markets

      • Fabio Tramontana, Frank Westerhoff

      Pages 205-227

   10. Consistency of Linear Forecasts in a Nonlinear Stochastic Economy

       • Cars Hommes, Gerhard Sorger, Florian Wagener

       Pages 229-287

   11. A Homoclinic Route to Volatility: Dynamics of Asset Prices Under Autoregressive Forecasting

       • Volker Böhm, Carl Chiarella, Xue-Zhong He, Thorsten Hüls

       Pages 289-316

4. Mathematical Methods and Philosophy for Global Analysis of Dynamical Systems

   1. Front Matter

      Pages 317-317

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5. Mathematical methods and philosophy for global analysis of dynamical systems

   1. Image Entropy for Discrete Dynamical Systems

      • Ralph Abraham

      Pages 319-335

   2. Embedding of a Dim1 Piecewise Continuous and Linear Leonov Map into a Dim2 Invertible Map

      • Christian Mira

      Pages 337-367

   3. A Gallery of Bifurcation Scenarios in Piecewise Smooth 1D Maps

      • Viktor Avrutin, Iryna Sushko

      Pages 369-395

   4. Periodic Orbits and Their Bifurcations in 3D Maps with a Separate Third Iterate

      • Anna Agliari, Daniéle Fournier-Prunaret, Abdel Kaddous Taha

      Pages 397-427

   5. Complexities of Natural Selection Dynamics

      • J. Barkley Rosser Jr.

      Pages 429-442

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.​

• Bifurcation Analysis
• Dynamical Systems Theory
• Global Analysis
• Heterogeneous Beliefs
• Nonlinear Stochastic Dynamics
• quantitative finance

• Department of Economics,, Society, Politics - DESP, University of Urbino, Urbino, Italy

  Gian Italo Bischi

• UTS Business School, Finance Discipline Group, University of Technology, Sydney, Australia

  Carl Chiarella

• Institute of Mathematics, Differential Equations and, National Academy of Science of Ukraine, Kiev, Ukraine

  Iryna Sushko

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