Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth

DOI10.1016/0022-0531(77)90064-3zbMath0363.90030OpenAlexW2081514381MaRDI QIDQ1240656

Robert E. Gaines

Publication date: 1977

Published in: Journal of Economic Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0531(77)90064-3

Mathematics Subject Classification ID

Controllability (93B05) Trade models (91B60) Large-scale systems (93A15)

Related Items (8)

Oscillations in optimal growth models ⋮ Existence of solutions of Hamiltonian dynamical systems of economic growth with Marxian savings hypothesis ⋮ Ordinary differential systems of optimal control type with monotone reversed nonlinearities ⋮ Periodic solutions for coupled first order systems of ordinary differential equations ⋮ Existence of aperiodic time-dependent solutions in optimal growth economy with three sectors ⋮ Periodic solutions to differential inclusions ⋮ Economic dynamics ⋮ The existence of optimal consumption policies in optimal economic growth models with nonconvex technologies

Cites Work

• Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate
• Global asymptotic stability of optimal control systems with applications to the theory of economic growth
• The structure and stability of competitive dynamical systems
• Existence of solutions to Hamiltonian dynamical systems of optimal growth
• Some new results on the local stability of the process of capital accumulation
• Generalized Hamiltonian equations for convex problems of Lagrange
• Saddle points of Hamiltonian systems in convex problems of Lagrange

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