A convergent process of price adjustment and global Newton methods. (English) Zbl 0354.90018


91B60 Trade models
34D05 Asymptotic properties of solutions to ordinary differential equations
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[1] Abraham, R.; Robbin, J., Transversal mappings and flows (1967), Benjamin: Benjamin New York · Zbl 0171.44404
[2] Arrow, K.; Hahn, F., General competitive analysis (1972), Holden-Day: Holden-Day San Francisco, CA
[3] Arrow, K.; Hurwicz, L., The stability of the competitive equilibrium I, Econometrica, 26, 522-552 (1958) · Zbl 0084.15604
[4] Arrow, K.; Block, H.; Hurwicz, L., The stability of the competitive equilibrium II, Econometrica, 27, 82-109 (1959) · Zbl 0095.34301
[5] Cellina, A., Approximation of set functions and fixed point theorems, Annali di Matematica, Pure et Applicata, 82, 17-24 (1969) · Zbl 0187.07701
[6] Debreu, G., Economies with a finite set of equilibria, Econometrica, 38, 387-392 (1970) · Zbl 0253.90009
[7] Debreu, G., Excess demand functions, Journal of Mathematical Economics, 1, 15-22 (1974) · Zbl 0283.90005
[8] Eaves, C.; Scarf, H., The solution of systems of piecewise linear equations, (Cowles Foundation Discussion Paper no. 390 (1975), Yale: Yale New Haven, CT) · Zbl 0458.65056
[9] Hirsch, M., A proof of the non-retractibility of a cell onto its boundary, Proceedings of the American Mathematical Society, 14, 364-465 (1963)
[10] Hirsch, M.; Smale, S., Differential equations, dynamical systems, and linear algebra (1974), Academic Press: Academic Press New York · Zbl 0309.34001
[12] Milnor, J., Topology from the differentiable viewpoint (1965), University Press of Virginia: University Press of Virginia Charlottesville, VA · Zbl 0136.20402
[13] Quirk, J.; Saposnik, R., Introduction to general equilibrium theory and welfare economics (1968), McGraw-Hill: McGraw-Hill New York
[14] Ostrowski, A., Solutions of equations in Euclidean and Banach spaces (1973), Academic Press: Academic Press New York · Zbl 0304.65002
[15] Scarf, H., Some examples of global instability of the competitive equilibrium, International Economic Review, 1, 157-172 (1960) · Zbl 0096.14204
[16] Scarf, H., The computation of economic equilibria (1973), Yale University Press: Yale University Press New Haven, CT, in collaboration with T. Hansen;
[17] Smale, S., Global analysis and economics IV, Journal of Mathematical Economics, 1, 119-127 (1974) · Zbl 0316.90008
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