Ramsey–Cass–Koopmans model

E381618

The Ramsey–Cass–Koopmans model is a foundational neoclassical growth model in macroeconomics that analyzes optimal savings, consumption, and capital accumulation over time in a perfectly competitive economy.

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Predicate Object
instanceOf dynamic general equilibrium model
intertemporal optimization model
macroeconomic growth model
neoclassical growth model
optimal growth model
alsoKnownAs Ramsey model
Ramsey–Cass model
Ramsey–Koopmans model
analyzes balanced growth path
optimal capital path
optimal consumption path
optimal saving rate
steady-state equilibrium
assumes closed economy
constant returns to scale production function
diminishing marginal product of capital
exogenous population growth
exogenous technological progress
infinitely lived agents
no government
no uncertainty
perfect competition
perfect foresight
representative firm
representative household
contrastsWith Solow–Swan model
linked to: Solow growth model
coreConcept capital accumulation
infinite-horizon planning
intertemporal utility maximization
optimal consumption
optimal saving
social planner problem
developedBy David Cass
Frank P. Ramsey
linked to: F. P. Ramsey

Tjalling C. Koopmans
extends Ramsey 1928 optimal saving problem
field dynamic economics
economic growth theory
macroeconomics
implies consumption smoothing over time
modified golden rule of capital
influenced modern DSGE models
real business cycle models
namedAfter David Cass
Frank P. Ramsey
linked to: F. P. Ramsey

Tjalling C. Koopmans
optimizationAgent representative household in competitive equilibrium
social planner
timeHorizon infinite horizon
typicalProductionSpecification Cobb–Douglas production function
typicalUtilitySpecification constant relative risk aversion utility
time-separable utility
usedFor analysis of consumption dynamics
analysis of savings behavior
analysis of tax policy in growth models
welfare analysis of growth paths
uses Euler equation for consumption
capital accumulation equation
production function
transversality condition
utility function

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Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

F. P. Ramsey notableWork Ramsey–Cass–Koopmans model
Frank P. Ramsey notableWork Ramsey–Cass–Koopmans model
subject linked to: Frank
Ramsey–Cass–Koopmans model alsoKnownAs Ramsey model
linked to: Ramsey–Cass–Koopmans model
Ramsey–Cass–Koopmans model alsoKnownAs Ramsey–Cass model
linked to: Ramsey–Cass–Koopmans model
Ramsey–Cass–Koopmans model alsoKnownAs Ramsey–Koopmans model
linked to: Ramsey–Cass–Koopmans model
Ramsey–Cass–Koopmans model extends Ramsey 1928 optimal saving problem
linked to: Ramsey–Cass–Koopmans model