Smale, Steve A convergent process of price adjustment and global Newton methods. (English) Zbl 0354.90018 J. Math. Econ. 3, 107-120 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 117 Documents MSC: 91B60 Trade models 34D05 Asymptotic properties of solutions to ordinary differential equations × Cite Format Result Cite Review PDF Full Text: DOI References: [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) · Zbl 0113.16704 [10] Hirsch, M.; Smale, S., Differential equations, dynamical systems, and linear algebra (1974), Academic Press: Academic Press New York · Zbl 0309.34001 [11] Kellog, B., T.Y. Li and J. Yorke, forthcoming, A method of continuation for calculating a Brouwer fixed point, in: S. Karamadiar, ed., Computing fixed points with applications (Academic Press, New York).; Kellog, B., T.Y. Li and J. Yorke, forthcoming, A method of continuation for calculating a Brouwer fixed point, in: S. Karamadiar, ed., Computing fixed points with applications (Academic Press, New York). [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; · Zbl 0311.90009 [17] Smale, S., Global analysis and economics IV, Journal of Mathematical Economics, 1, 119-127 (1974) · Zbl 0316.90008 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.