Abstract
General equilibrium is nowadays, perhaps, the most well established framework in which to study several aspects of economic phenomena. Such diverse topics as growth, money, finance and international trade use the methods and the framework of general equilibria. That was not the case in the early 1950s when David Gale, together with Arrow, Debreu, McKenzie and Nikaido among others, started the systematic study that led this revolutionary change. Recently, there has been an increasing interest in the generalisation of this work to the case of infinitely many goods, needed for some applications. This study is a contribution to this literature. We start by giving a general overview of the problem of general equilibrium with infinitely many goods.
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References
Aliprantis, C. D. and O. Burkinshaw (1978) Locally Solid Reisz Spaces (New York, London: Academic Press).
Aliprantis, C. D., D. Brown and O. Burkinshaw (1987) ‘Edgeworth Equilibria’, Econometrica, 55, pp. 1109–37.
Araujo, A. (1985) ‘Laws of Pareto-Optima and equilibria for economies with infinitely many goods: the need for impatience’, Econometrica, 53, pp. 455–62.
Araujo, A. and P. K. Monteiro (1987) ‘Generic non Existence of Equilibrium in Finance Models’, to appear in Journal of Mathematical Economics.
Araujo, A. and P. K. Monteiro (1989) ‘Equilibrium without Uniform Conditions’, Journal of Economic Theory, 48, pp. 416–27.
Bewley, T. (1972) ‘Existence of Equilibria in Economies with infinitely many commodities’, Journal of Economic Theory, 4, pp. 514–40.
Debreu, G. (1954) ‘Valuation Equilibrium and Pareto-Optimum’, Proceedings of the National Academy of Science, 40, pp. 588–92.
McFadden, D., T. Mitra and Majumdar, M. (1980) ‘Pareto-Optimality and Competitive Equilibrium in Infinite Horizon Economies’, Journal of Mathematical Economics, 7(1) pp. 1–26.
Majumdar, M. (1972) ‘some General Theorems on Efficiency Prices with an Infinite Dimensional Commodity Space’, Journal of Economic Theory, 5(1) pp. 1–13.
Malinvaud, E. (1953) ‘Capital Accumulation and Efficient Allocation of Resources’, Econometrica, 21, pp. 233–68.
Mas-Colell, A. (1986) ‘The Price Equilibrium Existence Problem in Topological Vector Lattices’, Econometrica, 54, pp. 1039–54.
Peleg, B. and M. Yaari (1970) ‘Markets with Countably Many Commodities’, International Economic Review, 11, pp. 369–77.
Yannelis, N. and W. Zame (1986) ‘Equilibria in Banach Lattices without Ordered Preferences’, Journal of Mathematical Economics, 15, pp. 85–110.
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© 1992 Mukul Majumdar
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Araujo, A., Monteiro, P.K. (1992). General Equilibrium with Infinitely Many Goods: The Case of Separable Utilities. In: Majumdar, M. (eds) Equilibrium and Dynamics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-11696-6_2
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DOI: https://doi.org/10.1007/978-1-349-11696-6_2
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-1-349-11698-0
Online ISBN: 978-1-349-11696-6
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