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EXISTENCE OF COMPETITIVE EQUILIBRIUM IN AN OPTIMAL GROWTH MODEL WITH HETEROGENEOUS AGENTS AND ENDOGENOUS LEISURE

Published online by Cambridge University Press:  09 January 2012

Aditya Goenka ,
Cuong Le Van  and
Manh-Hung Nguyen
Aditya Goenka
Affiliation:
National University of Singapore
Cuong Le Van
Affiliation:
CNRS VCREME and Hanoi Water Resources University
Manh-Hung Nguyen*
Affiliation:
Toulouse School of Economics (LERNA-INRA) VCREME and Hanoi Water Resources University
*
Address correspondence to: Manh-Hung Nguyen, Toulouse School of Economics, 21 allée de Brienne, 31000 Toulouse, France; email: [email protected].
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Abstract

This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents, elastic labor supply, and complete asset markets. The method of proof relies on some recent results concerning the existence of Lagrange multipliers in infinite-dimensional spaces and their representation as a summable sequence and a direct application of the inward-boundary fixed point theorem.

Keywords

Optimal Growth ModelLagrange MultipliersCompetitive EquilibriumElastic Labor Supply
Type
Articles
Information
Macroeconomic Dynamics , Volume 16 , Supplement S1: Nonlinear Dynamics in Equilibrium Models , April 2012 , pp. 33 - 51
Copyright
Copyright © Cambridge University Press 2012

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References

REFERENCES

Aliprantis, Charalambos D., Brown, Donald J., and Burkinshaw, Owen (1990) Existence and Optimality of Competitive Equilibria . Heidelberg: Springer.CrossRefGoogle Scholar
Becker, Robert A. (1980) On the long-run steady state in a simple dynamic model of equilibrium with heterogeneous households. Quarterly Journal of Economics 95, 375–382.CrossRefGoogle Scholar
Berge, Claude (1959) Espaces Topologiques. Paris: Dunod. [English translation: Topological Spaces. Edinburgh: Oliver and Boyd (1963)].Google Scholar
Bewley, Truman F. (1972) Existence of equilibria in economies with infinitely many commodities. Journal of Economic Theory 4, 514–540.CrossRefGoogle Scholar
Bewley, Truman F. (1982) An integration of equilibrium theory and turpike theory. Journal of Mathematical Economics 10, 233–267.CrossRefGoogle Scholar
Dana, Rose-Anne and Van, Cuong Le (1991) Equilibria of a stationary economy with recursive preferences. Journal of Optimization Theory and Applications 71, 289–313.CrossRefGoogle Scholar
Dechert, W. Davis (1982) Lagrange multipliers in infinite horizon discrete time optimal control models. Journal of Mathematical Economics 9, 285–302.CrossRefGoogle Scholar
Florenzano, Monique and Van, Cuong Le (2001) Finite Dimensional Convexity and Optimization. Heidelberg, Germany: Springer-Verlag.CrossRefGoogle Scholar
Goenka, Aditya, Van, Cuong Le, and Nguyen, Manh-Hung (2011) Existence of Competitive Equilibrium in an Optimal Growth Model with Heterogeneous Agents and Endogeneous Leisure. Working paper CES, Paris.Google Scholar
Le Van, Cuong and Dana, Rose-Anne (2003) Dynamic Programming in Economics. Dordrecht, The Netherlands: Kluwer Academic.Google Scholar
Le Van, Cuong, Nguyen, Manh-Hung, and Vailakis, Yiannis (2007) Equilibrium dynamics in an aggregative model of capical accumulation with heterogeneous agents and elastic labor. Journal of Mathematical Economics 43, 287–317.CrossRefGoogle Scholar
Le Van, Cuong and Saglam, Cagri (2004) Optimal growth models and the Lagrange multiplier Journal of Mathematical Economics 40, 393–410.CrossRefGoogle Scholar
Le Van, Cuong and Vailakis, Yiannis (2004) Existence of Competitive Equilibrium in a Single-Sector Growth Model with Elastic Labor. Cahiers de la MSE 2004–123.Google Scholar
Negishi, Takashi (1960) Welfare economics and existence of an equilibrium for a competitive economy. Metroeconomica 12, 92–97.CrossRefGoogle Scholar
Peleg, Bezalel and Yaari, Menahem E. (1970) Markets with countably many commodities. International Economic Review 11, 369–377.CrossRefGoogle Scholar
Ramsey, Frank P. (1928) A mathematical theory of saving. Economic Journal 38, 543–559.CrossRefGoogle Scholar