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Stability of production economies
Published online by Cambridge University Press: 09 April 2009
Abstract
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In this paper, the concept of essential equilibria for production economies is first given. We then prove that in ‘most’ production economies (in the sense of Baire category) all equilibria are essential.
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- Research Article
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- Copyright © Australian Mathematical Society 1996
References
[1]Border, K. C., Fixed point theorems with applications to economies and game theory (Cambridge University Press, Cambridge, 1985).Google Scholar
[2]Debreu, G., ‘Economies with a finite set of equilibria’, Econometrica 38 (1970), 387–392.CrossRefGoogle Scholar
[3]Debreu, G., ‘Existence of competitive equilibrium’, in: Handbook of mathematical economies (Arrow, K. J. and Intrilligator, M. D., eds.) vol. II (North-Holland, Amsterdam, 1982).Google Scholar
[4]Dierker, E., Topological methods in Walrasian economics (Springer, Berlin, 1974).CrossRefGoogle Scholar
[6]Fort, M. K., ‘Points of continuity of semicontinuous functions’, Publ. Math. Debrecen 2 (1951), 100–102.CrossRefGoogle Scholar
[7]Grandmont, J. M., ‘Temporary general equilibrium theory’, Econometrica 45 (1977), 535–572.CrossRefGoogle Scholar
[9]Oxtoby, J. C., ‘Cartesian products of Baire spaces’, Fund. Math. 49 (1961), 157–166.CrossRefGoogle Scholar
[10]Tarafdar, E. and Thompson, B., ‘On the existence of the price equilibrium by different methods’, Comment. Math. Univ. Carolin. 34 (1993), 413–417.Google Scholar
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