Global analysis and economics. III: Pareto Optima and price equilibria. (English) Zbl 0316.90007


91B16 Utility theory
57R70 Critical points and critical submanifolds in differential topology
58E99 Variational problems in infinite-dimensional spaces
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[1] Abraham, R.; Robbin, J., Transversal mappings and flows, (1967), Benjamin New York · Zbl 0171.44404
[2] Debreu, G., Theory of value, (1959), Wiley New York · Zbl 0193.20205
[3] Henderson, J.; Quandt, R., Microeconomic theory; A mathematical approach, (1958), McGraw-Hill New York
[4] Intriligator, M., Mathematical optimization and economic theory, (1971), Prentice-Hall Englewood Cliffs, N.J
[5] Malinvaud, E., Lectures on microeconomic theory, (1972), North-Holland Amsterdam · Zbl 0344.90008
[6] Pareto, V., Manuel d’économie politique, (1896/1897), Rouge Lausanne
[7] Samuelson, P., Foundations of economic analysis, (1971), Atheneum New York
[8] Smale, S., Global analysis and economics I; Pareto optimum and a generalization of Morse theory in ‘dynamical systems, (1973), Academic Press New York · Zbl 0269.58009
[9] Smale, S., Optimizing several functions, Proceedings of the Tokyo manifolds conference, (1973), (to appear).
[10] Smale, S., Global analysis and economics IIA; extension of a theorem of Debreu, Journal of mathematical economics, 1, 1-14, (1974) · Zbl 0316.90006
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