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Sandwich method for finding fixed points. (English) Zbl 0299.65030

MSC:
65J05 General theory of numerical analysis in abstract spaces
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[1] Lemke, C. M., andHowson, J. T.,Equilibrium Points of Bimatrix Games, Journal of the Society for Industrial and Applied Mathematics, Vol. 12, pp. 413-423, 1964. · Zbl 0128.14804 · doi:10.1137/0112033
[2] Scarf, H. E.,The Approximation of Fixed Points of a Continuous Mapping, SIAM Journal on Applied Mathematics, Vol. 15, pp. 1328-1343, 1967. · Zbl 0153.49401 · doi:10.1137/0115116
[3] Scarf, H. E.,On the Computation of Equilibrium Prices, Ten Economic Studies in the Tradition of Irving Fisher, Edited by W. Fellneret al., John Wiley and Sons, New York, New York, 1967.
[4] Kuhn, H. W.,Simplicial Approximation of Fixed Points, Proceedings of the National Academy of Sciences, USA, Vol. 61, pp. 1238-1242, 1968. · Zbl 0191.54904 · doi:10.1073/pnas.61.4.1238
[5] Eaves, B. C.,Homotopies for Computation of Fixed Points, Mathematical Programming, Vol. 3, pp. 1-22, 1972. · Zbl 0276.55004 · doi:10.1007/BF01584975
[6] Eaves, B. C., andSaigal, R.,Homotopies for Computation of Fixed Points on Unbounded Regions, Mathematical Programming, Vol. 3, pp. 225-237, 1972. · Zbl 0258.65060 · doi:10.1007/BF01584991
[7] Merrill, O. H.,Applications and Extensions of an Algorithm that Computes Fixed Points of Certain Non-empty Convex Upper Semi-continuous Point to Set Mappings, University of Michigan, Department of Industrial Engineering, Technical Report No. 71-7, 1971.
[8] Merrill, O. H.,Applications and Extensions of an Algorithm that Computes Fixed Points of Certain Upper Semi-continuous Point to Set Mappings, University of Michigan, Ph.D. Thesis, 1972.
[9] Fisher, M. L., Gould, F. J., andTolle, J. W.,A New Simplicial Approximation Algorithm with Restarts: Relations Between Convergence and Labelling, Proceedings of the Conference on Computing Fixed Points with Applications, Department of Mathematical Sciences, Clemson University, Clemson, South Carolina, 1975.
[10] Scarf, H. E., with the collaboration ofHansen, T.,The Computation of Economic Equilibria, Yale University Press, New Haven, Connecticut, 1973. · Zbl 0311.90009
[11] Arrow, K. J., andHahn, F. H.,General Competitive Analysis, Holden-Day, San Francisco, California, 1971. · Zbl 0311.90001
[12] MacKinnon, J. G.,Solving Economic General Equilibrium Models by the Sandwich Method, Proceedings of the Conference on Computing Fixed Points with, Applications, Department of Mathematical Sciences, Clemson University, Clemson, South Carolina, 1975. · Zbl 0429.90016
[13] Kuhn, H. W.,Some Combinatorial Lemmas in Topology, I.B.M. Journal of Research and Development, Vol. 4, pp. 508-524, 1960. · Zbl 0109.15603
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