×

An algorithm for a piecewise linear model of trade and production with negative prices and bankruptcy. (English) Zbl 0402.90018


MSC:

91B50 General equilibrium theory
90C90 Applications of mathematical programming
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] K.J. Arrow and F.H. Hahn,General competitive analysis (Holden-Day, San Francisco, CA, 1971). · Zbl 0311.90001
[2] T.C. Bergstrom, ”How to discard ”free disposability”–at no cost”,Journal of Mathematical Economics, to appear. · Zbl 0348.90029
[3] G.B. Dantzig,Linear programming and extensions (Princeton University Press, Princeton, NJ, 1963) 621 pp.
[4] G. Debreu,Theory of value–An axiomatic analysis of economic equilibrium (John Wiley, New York, 1959) 107 pp. · Zbl 0193.20205
[5] C. Debreu, ”New concepts and techniques for equilibrium analysis”,International Economic Review 3 (3) (1962) 257–273. · Zbl 0109.38602 · doi:10.2307/2525394
[6] C. Debreu, ”Four aspects of the mathematical theory of economic equilibrium”,Proceedings of the International Congress of Mathematicians, Vancouver, 1 (1974) 65–77.
[7] C. Debreu, ”Least concave utility functions”,Journal of Mathematical Economics 3 (2) (1976). · Zbl 0361.90007
[8] B.C. Eaves, ”Properly labeled simplexes”, in: G.B. Dantzig and B.C. Eaves, eds.,Studies in optimization, Vol. 10, MAA Studies in Mathematics (Springer, Berlin, 1974) 71–93 pp. · Zbl 0363.90072
[9] B.C. Eaves, ”A finite algorithm for the linear exchange model”,Journal of Mathematical Economics 3 (1976) 197–203. · Zbl 0349.90025 · doi:10.1016/0304-4068(76)90028-8
[10] D. Gale, ”Piecewise linear exchange equilibrium; 7 pp., undated, mimeographed. · Zbl 0355.90013
[11] A.M. Geoffrion, ”Elements of large-scale mathematical programming: Parts I and II”,Management Science 16 (1970) 652–691. · Zbl 0209.22801 · doi:10.1287/mnsc.16.11.652
[12] V. Ginsburgh and J. Waelbroeck, ”Computational experience with a large general equilibrium model”, CORE Discussion Paper No. 7420, Belgium (1974) 21 pp. · Zbl 0342.90014
[13] V. Ginsburgh and J. Waelbroeck, A general equilibrium model of world trade, Part I, Full format computation of economic equilibria”, Cowles Foundation Discussion Paper No. 412, Yale University (1975) 37 pp.
[14] V. Ginsburgh and J. Waelbroeck, ”A general equilibrium model of world trade, Part II, The empirical specification”, Cowles Foundation Discussion Paper No. 413, Yale University (1975) 64 pp.
[15] O.D. Hart and H. Kuhn, ”A proof of the existence of equilibrium without the free disposal assumption”,Journal of Mathematical Economics 2 (1975) 335–343. · Zbl 0317.90004 · doi:10.1016/0304-4068(75)90001-4
[16] Y. Kannai, ”Approximation of convex preferences”,Journal of Mathematical Economics 1 (2) (1974) 101–106. · Zbl 0288.90011 · doi:10.1016/0304-4068(74)90001-9
[17] D.M. Kreps, ”On the computation of economic equilibria using the simplex of households”, Dept. of Econ., Stanford University (1974), unpublished.
[18] L.S. Lasdon,Optimization theory for large systems (Macmillan, New York, 1970) 523 pp. · Zbl 0224.90038
[19] R. Mantel, ”Toward a constructive proof of the existence of equilibrium in a competitive economy”,Yale Economic Essays 8 (1968) 155–196.
[20] A. Mas-Colell, ”Continuous and smooth consumers: Approximation theorems”,Journal of Economic Theory 8 (1974) 305–336. · doi:10.1016/0022-0531(74)90089-1
[21] T. Negishi, ”Welfare economics and existence of an equilibrium for a competitive economy;Metroeconomica XII (1960) 92–97. · Zbl 0104.38403 · doi:10.1111/j.1467-999X.1960.tb00275.x
[22] T. Rader,Theory of microeconomics (Academic Press, New York, 1972) 258–261 pp.
[23] R. Saigal, ”On the convergence rate of algorithms for solving equations that are based on methods of complementary pivoting”, Bell Telephone Laboratories, Holmdel, NJ (undated) 60 pp. · Zbl 0395.90082
[24] H. Scarf,The computation of economic equilibria (Yale University Press, 1973) 249 pp. · Zbl 0311.90009
[25] L.S. Shapley, ”Utility comparison and the theory of games”, in:La decision, Colloques Int. du Centre Nat’l. de la Recherche Scientifique (1967) 251–263 pp.
[26] R.B. Wilson, ”The bilinear complementarity problem and competitive equilibria of linear economic models”,Econometrica 46, 1 (1978) 87–103. · Zbl 0372.90025 · doi:10.2307/1913647
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.