Existence of a competitive equilibrium in one sector growth model with heterogeneous agents and irreversible investment
AbstractWe prove existence of a competitive equilibrium in a version of a Ramsey (one sector) model in which agents are heterogeneous and gross investment is constrained to be non negative. We do so by converting the infinite-dimensional fixed point problem stated in terms of prices and commodities into a finite-dimensional Negishi problem involving individual weights in a social value function. This method allows us to obtain detailed results concerning the properties of competitive equilibria. Because of the simplicity of the techniques utilized our approach is amenable to be adapted by practitioners in analogous problems often studied in macroeconomics
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Bibliographic InfoPaper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2001018.
Date of creation: 01 Sep 2001
Date of revision:
One sector growth model; Pareto-optimum; Competitive equilibrium; Heterogeneous agents; Non negative gross investment;
Other versions of this item:
- Cuong Le Van & Yiannis Vailakis, 2003. "Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment," Economic Theory, Springer, vol. 22(4), pages 743-771, November.
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2002-02-10 (All new papers)
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