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Hamiltonian approach to dynamic economics
The Hamiltonian Approach to Dynamic Economics.
Front Cover; The Hamiltonian Approach to Dynamic Economics; Copyright Page; Table of Contents; Acknowledgments; About the Authors; ESSAY I. Introduction to Hamiltonian Dynamics in Economics; REFERENCES; ESSAY II. On Optimal Steady States of n-Sector Growth Models when Utility is Discounted; I. THE VISIT LEMMA, CONTINUITY, AND LOCAL PROPERTIES OF OPTIMAL STEADYSTATES; II. THE CONTINUITY OF THE STABLEMANIFOLD; III. THE INSENSITIVITY OF THE GLOBAL TURNPIKE RESULT; REFERENCES; ESSAY III. The Structure and Stability of CompetitiveDynamical Systems; 1. INTRODUCTION AND SUMMARY; 2. THE GENERAL MODEL.
3. STABILITY OF THE OPTIMAL GROWTH MODEL4. STABILITY OF THE DESCRIPTIVE GROWTH MODEL WITH MARXIANSAVING-INVESTMENT BEHAVIOR; ACKNOWLEDGMENTS; REFERENCES; ESSAY IV. Saddle Points of Hamiltonian Systems in Convex LagrangeProblems Having a Nonzero Discount Rate; 1. INTRODUCTION; 2. LOCAL BEHAVIOR AND OPTIMALITY; 3. REDUCTION FROM THE LOCAL TO THE GLOBAL CASE; 4. GLOBAL RESULTS; 5. RESULTS FOR THE INTERVAL ( -- oo, 0]; 6. SOME COMPLEMENTARY RESULTS; REFERENCES; ESSAY V. Existence of Solutions to Hamiltonian DynamicalSystems of Optimal Growth; 1. INTRODUCTION; 2. SUFFICIENT CONDITIONS FOR EXISTENCE.
3. CONSEQUENCES OF THE EXISTENCE CONDITIONS: A PRIORI BOUNDS4. EXISTENCE PROOF; APPENDIX: THE CONTINUATION PRINCIPLE; ACKNOWLEDGMENTS; REFERENCES; ESSAY VI. A Characterization of the Normalized Restricted Profit Function; 1. INTRODUCTION; 2. DUALITY THEOREMS; 3. HESSIAN MATRIX IDENTITIES; 4. CONCLUDING REMARKS; APPENDIX; ACKNOWLEDGMENTS; REFERENCES; ESSAY VII. Global Asymptotic Stability of Optimal Control Systems with Applications to the Theory of Economic Growth; 1; 2. A FIRST RESULT ON G.A.S.; 3. A General Result on Convergence of Bounded Trajectories; 4. A MORE GENERAL RESULT.
5. SUGGESTIONS FOR FUTURE RESEARCHREFERENCES; ESSAY VIII. A Growth Property in Concave-Convex Hamiltonian Systems; REFERENCES; Index.
"Originally appeared as papers in the Journal of economic theory, volume 12, number 1 (February 1976)."
Includes bibliographical references and index.
Statique et dynamique (Sciences sociales)
Economic theory and mathematical economics