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Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses. (English) Zbl 0348.90017


MSC:

91B60 Trade models
58A05 Differentiable manifolds, foundations
91B16 Utility theory
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[1] Arrow, K.; Hahn, F., General competitive analysis, (1971), Holden-Day San Francisco · Zbl 0311.90001
[2] Balasko, Y., Some results on uniqueness and stability in general equilibrium theory, (1974), Reprint (Berkeley)
[3] Debreu, G., Theory of value, (1959), Wiley New York · Zbl 0193.20205
[4] Debreu, G., Economies with a finite set of equilibria, Econometrica, 38, 387-392, (1970) · Zbl 0253.90009
[5] Debreu, G., Smooth preference, Econometrica, 40, 603-616, (1972)
[6] Golubitsky, M.; Guilemin, V., Stable mappings and their singularities, (1973), Springer New York · Zbl 0294.58004
[7] Hermann, R., Differential geometry and the calculus of variations, (1968), Academic Press New York · Zbl 0219.49023
[8] Intriligator, M., Mathematical optimization and economic theory, (1971), Prentice-Hall Englewood Cliffs, N.J
[9] Smale, S., Analysis and economics IIA, Journal of mathematical economics, 1, 1-14, (1974), Extension of a theorem of Debreu · Zbl 0316.90006
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