SaddleS and BifurcationS in an Overlapping GenerationS Economy with a Renewable Resource
AbstractWe incorporate a renewable resource as a factor of production and store of value into an overlapping generations model. We characterize dynamics and stability of steady state equilibria by introducing the concave resource growth function. The nature of equilibria in the presence of ‘well-behaved’ resource stock growth depends on the size of the intertemporal elasticity of substitution in consumption. If it is at least half, but not exactly one, steady states are saddle points. For intertemporal elasticity less than one half we use a parametric example with logistic growth to demonstrate the existence of stable equilibria (indeterminacy) and a subcritical bifurcation.
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Bibliographic InfoArticle provided by Finnish Economic Association in its journal Finnish Economic Papers.
Volume (Year): 21 (2008)
Issue (Month): 1 (Spring)
Find related papers by JEL classification:
- D90 - Microeconomics - - Intertemporal Choice - - - General
- Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
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