A simple proof of existence of equilibrium in a one sector growth model with bounded or unbounded returns from below
AbstractWe analyze a Ramsey economy when net investment is constrained to be non negative. We prove existence of a competitive equilibrium when utility need not be bounded from below and the Inada-type conditions need not hold. The analysis is carried out by means of a direct and technically standard strategy. This direct strategy (a) allows us to obtain detailed results concerning properties of competitive equilibria, and (b) is amenable to be easily adapted for the analysis of analogousmodels often found in macroeconomics.
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Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2000050.
Date of creation: 00 Oct 2000
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Ramsey model; one sector growth model; non negative net investment; competitive equilibrium.;
Other versions of this item:
- Dur n, Jorge & Le Van, Cuong, 2003. "Simple Proof Of Existence Of Equilibrium In A One-Sector Growth Model With Bounded Or Unbounded Returns From Below," Macroeconomic Dynamics, Cambridge University Press, vol. 7(03), pages 317-332, June.
- Duran, Jorge & Le Van, Cuong, 2000. "A simple proof of existence of equilibrium in a one sector growth modelp with bounded or unbounded returns from below," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000025, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
- E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
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