Some new results on the local stability of the process of capital accumulation

DOI10.1016/0022-0531(77)90075-8zbMath0372.90009OpenAlexW1988609202MaRDI QIDQ1244158

Michael J. P. Magill

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)90075-8

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Trade models (91B60) Stability of solutions to ordinary differential equations (34D20) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (34)

Turnpike theory. Some new results on the saddle point property of equilibria and on the existence of endogenous cycles ⋮ Stability of international pollution control games: a potential game approach ⋮ Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control ⋮ On the local stability of the stationary solution to variational problems ⋮ Endogenous cycles in discrete symmetric multisector optimal growth models ⋮ Endogenous cycles with small discounting in multisector optimal growth models: Continuous-time case ⋮ Local stability in endogenous growth models ⋮ On the long-run fluctuations of inheritance in two-sector OLG models ⋮ Linear-quadratic approximation, external habit and targeting rules ⋮ Stabilization of capital accumulation games ⋮ The Hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth ⋮ On the Mitra-Wan forest management problem in continuous time ⋮ Optimal control and the Fibonacci sequence ⋮ Spatial growth theory: optimality and spatial heterogeneity ⋮ Hopf bifurcations in multisector models of optimal economic growth ⋮ Competitive equilibrium cycles for small discounting in discrete-time two-sector optimal growth models ⋮ On uniqueness of a steady state and convergence of optimal paths in multisector models of optimal growth with a discount rate ⋮ Pricing infinite horizon programs ⋮ A turnpike theorem for continuous-time optimal-control models ⋮ On the local stability of the solution to optimal control problems ⋮ Competitive equilibrium cycles with endogenous labor ⋮ Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth ⋮ A local analysis of N-sector capital accumulation under uncertainty ⋮ On the optimality and stability of competitive paths in continuous time growth models ⋮ The rise and fall of catastrophe theory applications in economics: was the baby thrown out with the bathwater? ⋮ A simple dynamic general equilibrium model ⋮ FOREIGN DEBT AND RENEWABLE RESOURCES¹ ⋮ Existence of aperiodic time-dependent solutions in optimal growth economy with three sectors ⋮ An integration of equilibrium theory and turnpike theory ⋮ The local stability of an open-loop Nash equilibrium in a finite horizon differential game ⋮ Reswitching as a cusp catastrophe ⋮ The general instability of balanced paths in endogenous growth models: The role of transversality conditions ⋮ On the solution of the linear rational expectations model with multiple lags. ⋮ A local analysis of stability and regularity of stationary states in discrete symmetric optimal capital accumulation models

Cites Work

• Duality theory for dynamic optimization models of economics: The continuous time case
• The modified golden rule of a multi-sector economy
• Price expectations and global stability in economic systems
• Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate
• On optimal steady states of n-sector growth models when utility is discounted
• Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses
• Global asymptotic stability of optimal control systems with applications to the theory of economic growth
• The structure and stability of competitive dynamical systems
• Portfolio selection with transactions costs
• The preferability of investment through a mutual fund
• A local analysis of N-sector capital accumulation under uncertainty
• Saddle points of Hamiltonian systems in convex problems of Lagrange
• On the Stability of the Competitive Equilibrium, I
• On the Stability of the Competitive Equilibrium, II
• On the Classification of Dynamical Systems
• The Dorfman-Samuelson-Solow Turnpike Theorem
• Generalized Costs of Adjustment and Dynamic Factor Demand Theory
• Multi-sector Economic Models with Continuous Adaptive Expectations
• Regular Economies and Conditions for Uniqueness of Steady States in Optimal Multi-Sector Economic Models
• Some Results on the Uniqueness of Steady States in Multisector Models of Optimum Growth When Future Utilities are Discounted
• On the Stability of a Pure Exchange Equiliblium
• Equilibrium Dynamics with Heterogeneous Capital Goods
• On the stabilization of stationary motions in nonlinear control systems
• The General Instability of a Class of Competitive Growth Processes
• On Existence of Weakly Maximal Programmes in a Multi-Sector Economy
• THE TURNPIKE THEOREM OF MORISHIMA⁽¹⁾
• The Rational Multivariate Flexible Accelerator
• Optimal Growth with Intertemporally Dependent Preferences
• LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
• Turnpike Theorems for a Generalized Leontief Model
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some new results on the local stability of the process of capital accumulation