Mathematical Methods in Dynamic Economics [Hardcover]

This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.List of Tables List of Figures Foreword Introduction PART I: DYNAMICS WITHOUT OPTIMIZATION Linear Difference Equations Discrete-Time Linear Models Nonlinear Difference Equations Discrete-Time Nonlinear Models Ordinary Differential Equations Continuous-Time Models PART II: DYNAMICS WITH OPTIMIZATION Dynamic Programming Applications of Dynamic Programming Optimal Control Optimal Consumption Paths PART III: SUPPLEMENTS Appendix A: Linear Algebra Appendix B: Overlapping Generations Appendix C: Overlapping Cohorts Solutions References Index of SubjectsANDRAS SIMONOVITS is Scientific Adviser at the Institute of Economics, Hungarian Academy of Sciences, Budapest, Hungary.