El papel de la Matemática en la Economía Moderna

1. El Método Matemático

2. Resumen del desarrollo histórico de economía matemática

3. Teoría del equilibrio general

4. Cómputo del equilibrio económico

5. Referencias bibliográficas

5. Referencias bibliográficas

  • Arrow, K. J., y G. Debreu, 1954, Existence of an equilibrium for a competitive economy, Econometrica 22, 265-290.

  • Arrow, K. J., y M. Intriligator, 1981, 1982, Handbook of Mathematical Economics, vol. I y II. Amsterdam: North-Holland. Barone, E., 1908, Il ministero della produzione nello stato colletivista, Giornale degli Economisti e Rivista Statistica 37, 267-293, 391-414.

  • Bowley, A. L., 1924, Mathematical groundwork of economics. Oxford University Press.

  • Brada, J. C.; Jackson, M. R. y King, A. E., 1981, The optimal rate of industrialization in developed and developing centrally-planned economies: A general equilibrium approach, World Development 9, 991-1004.

  • Brouwer, L. E. J., 1910, Ueber eindeutige, stetige Transfonmationen von Flaechen in Sieh, Mathematische Annalen 67, 176-180. Cassel, G., 1918, Theoretische Sozialoekonomie. Traducción: Economía Social Teórica. Madrid: Aguilar, 1954.

  • Cournot, A., 1838, Recherches sur les principes mathematiques de la theorie des richesses.

  • Charlesworth, J. C. (comp.), 1963, Mathematics and the Social Sciences. Filadelfia: The American Academy of Political and Social Science.

  • Chenery, H. B. y K. Kretschmer, 1956, Resource allocation for economic development, Econometrica 24, 365-399.

  • Chenery, H. B., y H. Uzawa, 1958, Non-linear programming in economic development, en K. J. Arrow, L. Hurwicz y H. Uzawa, Studies in Linear and Non-linear Programming. Stanford University Press, 203-229.

  • Dantzig, G. B., 1949, Programming of interdependent activities, II: Mathematical model, Econometrica 17, 200-211.

  • Debreu, G., 1952, A social equilibrium existence theorem, Proceedings of the National Academy of Sciences, 38, 886-893. Debreu, G., 1959, Theory of Value, New York: Wiley.

  • Debreu, G., 1974, Excess demand functions, Journal of Mathematical Economics 1, 15-23.

  • Dervis, K., de Melo, J. y Robinson, S., 1981, A general equilibrium analysis of foreign exchange shortages in a developing economy, Economic Journal 91, 891-906.

  • Diamond, P. A., y Mirrlees, J. A., 1971, Optimal taxation and pu-blic production, American Economic Review 61, 8-27, 261-278.

  • Dupuit, J., 1844, De la mesure de l'utilité des travaux publics, Annales des Ponts et Chaussées, 2d series, vol, 8.

  • Fellner, W., e. a., 1967, Ten economic studies in the tradition of Irving Fisher. New York: Wiley.

  • Feltenstein, A., 1979, Market equilibrium in a model of a planned economy of the Soviet type: A proof of existence and results of numerical simulations, Review of Economic Studies 46, 631-652.

  • Feltenstein, A., 1980, A general equilibrium approach to the analysis of trade restrictions with an application to Argentina. Trabajo presentado al Primer Congreso Regional Latinoamericano de la Sociedad Econométrica, Buenos Aires. International Monetary Fund Staff Papers 27, 749-84.

  • Feltenstein, A., 1981, A general-equilibrium approach to the analysis of monetary and fiscal policies, International Monetary Fund Staff Papers, 28, 653-81.

  • Feltenstein, A., 1983, The allocation of badly needed goods to low-income consumers: A system of central planning without re-distributive taxation, Journal of Comparative Economies 7, 52-70.

  • Fisher, I., 1892, Mathematical investigations in the theory of value and prices. New Haven: Transactions of the Connecticut Academy of Arts and Sciences 9.

  • Frisch, R., 1947, Irving Fisher at eighty, Econometrica 15, 71-73.

  • Fullerton, D., et al., 1919, Corporate and personal tax integration in the U. S.: Some preliminary findings from a general equilibrium analysis, en R. Haveman y K. Hollenbeck, comp., Microeconomic Simulation. Madison: Institute for Research in Poverty.

  • Fullerton, D., A, T. King, J. B. Shoven, y J. Whalley, 1981, Corporate tax integration in the U. S.: A general equilibrium approach, American Economic Review 71, 677-691

  • Fullerton, D., J. B. Shoven, y J. Whalley, 1978, A general equilibrium analysis of U.S. taxation policy, 1978 Compendium of Tax Research, U. S. Treasury Department, Office of Tax Analysis (U. S. Government Printing Office, Washington, D.C.).

  • Fullerton, D., J. B. Shoven, y J. Whalley, 1983, Replacing the U. S. income tax with a progressive consumption tax: A sequenced general equilibrium approach, Journal of Public Economics 20, 3-23.

  • Gale, D., 1955, The law of supply and demand, Mathematica Scandinavica 3, 155-189.

  • Gerwin, R., 1967, Autómatas inteligentes. Madrid: Daimon.

  • Ginsburgh, V., y J. Waelbroeck, 1975, A general equilibrium model of world trade, partes I y II, Cowles Foundation Diacussion Papers 412 y 413.

  • Ginsburgh, V., y J. Waelbroeck, 1978, Computational experience with a large general equilibrium model, en J. Los, comp., Computing equilibria: How and why.

  • Ginsburgh, V., y J. Waelbroeck, 1979, A note on the stability of tâtonnement processes for computing equilibria, International Economic Review 20, 367-380.

  • Ginsburgh, V., y J. Waelbroeck, 1980, Activity analysis and general equilibrium modeling. Amsterdam: North-Holland.

  • Hansen, T., y T. C. Koopmans, 1972, On the definition and computation of a capital stock invariant under optimalization, Journal of Economic Theory 5, 487-523.

  • Harris, R. G. y T. G. MaeKinnon, 1979, Computing optimal tax equilibria, Journal of Public Economics 11, 197,

  • Harrod, R. F., 1938, The scope and method of economics, Economic Journal 48, 383-412.

  • Hayek, F. A., 1940, Socialist calculation: The competitive solution, Económica 7, 125-149.

  • Hicks, J, R., 1939, Value and Capital. New York: Oxford University Press.

  • Hurwicz, L., 1963, Mathematics in Economics: Language and Instrument, en Mathematics and the Social Sciences, J. C. Charlesworth (comp.), 1-11.

  • Imam, H, y J. Whalley, 1982, General equilibrium with price intervention policies: A computational approach. Journal of Public Economics 18, 105.

  • Johnson, H. G., 1959, International trade, income distribution, and the offer curve, Manchester School of Economic and Social Studies 27, 241-260.

  • Jorgenson, D. W., 1984, Econometric methods for applied general equilibrium analysis, en H. E. Scarf y J. B. Shoven, comp., Applied General equilibrium analysis, capítulo 4

  • Kakutani, S., 1941, A generalization of Brouwer's fixed point theorem, Duke Mathematical Journal 8, 457-459.

  • Kantorovich, L. V., 1942, Sobre la tralocación de masas (en ruso); Dokl, Akad. Nauk. U.S.S.R. 37, 199-201.

  • Keynes, J. M., 1936, The general theory of employement, interest and money. Londres: MacMillan.

  • Koopmans, T. C., 1951, comp., Activity analysis of production and allocation. New York: Wiley.

  • Koopmans, T. C., 1957, Three essays on the state of economic science, Nueva York: MeGraw-Hill,

  • Koopmans, T. C., 1964, Econemic growth at a maximal rate, Quarterly Journal of Economics 78, 355-394.

  • van der Laan, G., 1982, Simplicial approximation of unemployement equilibria, Journal of Mathematical Economics 9, 83-97.

  • Lange, O., 1936, On the economic theory of socialism, Review of Economic Studies 4, 53-71, 123.

  • Lange, O. R., 1967, The computer and the market, en Socialism, Capitalism, and Economic Growth. C. H., Feinstein (comp.), 158-161. Cambridge: Cambridge University Press.

  • Leontief, W. W., 1941, The structure of the American economy 1919-1939, New York: Oxford University Press.

  • MeKenzie, L., 1955, Competitive equilibrium with dependent consumer preferences, en H. A. Antosiewicz (comp.), Proceedings of the Second Symposium in Linear Programming. Washington, 277-294.

  • Manne, A., S. Kim, y T. F. Wilson, 1980, A three-region model of energy, international trade and economic growth, Stanford University, Department of Operations Research, mimeografiado.

  • Mansur, A., y J. Whalley, 1982a, A decomposition algorithm for general equilibrium computation with application to international trade rnodels, Econometrica 50, 1547-1558.

  • Mansur, A., y J. Whalley, 1982b, General equilibrium in multijurisdictional models with income interdependence, Journal of Economic Theory 26, 183-190.

  • Mantel, R. R., 1965, Equilibrio en una economía competitiva: Una prueba de su existencia. Buenos Aires: Instituto Di Tella, DI 10. Mantel, R. R., 1970, Política tributaria en una economía competitiva, Económica (La Plata), 16, 289-312.

  • Mantel, R. R., 1975, General equilibrium and optimal taxes, Journal of Mathematical Economics 2, 187-200.

  • Mantel, R. R., 1974, On the characterization of aggregate excess demand, Journal of Economic Theory 7, 348-353.

  • Mantel, R. R., 1984, Economía matemática, su evolución histórica y estado actual, Económica (La Plata).

  • Marshall, A., 1879, The Pure Theory of Foreign Trade.

  • Menger, K., 1973, Austrian marginalism and mathematical economics, en J. R. Hicks y W. Weber (comp.), Carl Menger and the Austrian sehool of economics. Oxford: Clarendon Press.

  • Menger, C., 1924, Origins of Sociology. Chicago: Chicago University Press.

  • Miller, J. P., 1967, Irving Fisher of Yale, en W. Fellner e. a., Ten economic studies in the tradition of Irving Fisher, 1-16. Morgenstern, Oskar, 1963, "Limits to the uses of mathematics in economics", en Mathematics and the Social Sciences, James C. Charlesworth (comp.), 12-29.

  • Nash, J. F., 1950, Equilibrium in n-person games, Proceedings of the National Academy of Sciences 36, 43-49.

  • Neisser, H., 1932, Lohnhoehe und Beschaeftigungsgrad im Marktgleichgewicht, Weltwirtschafliches Archiv 36, 415-455.

  • von Neumann, J., 1928, Zur Theorie der Gesellschaftsspiele, Mathematische Annalen 100, 295-320.

  • von Neumann, J., 1937, Ueber ein Oekonomisches Gleichungs-System und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes, en Karl Menger (comp.), Ergebnisse eines Mathematischen Kolloquiums 8, 1935-36.

  • von Neumann, J., y O. Morgenstern, 1944, Theory of games and economic behavior. Princeton: Princeton University Press.

  • Nikaido, H., 1956, On the classical multilateral exchange problem, Metroeconomica 8, 135-145.

  • Pareto, V., 1896, Cours d'économie politique. Lausanne: Rouge.

  • Pareto, V., 1909, Manuel d'économie politique. Paris: Giad. Piggott, J. R., y J. Whalley, 1977, General equilibrium investigation of U. K. tax subsidy policy: A progress report, en M. J. Artis y A. R. Nobay, comp., Studies in Modern Economic Analysis. Oxford: B. Blackwel.

  • Piggott, J., y J. Whalley, 1982, General equilibrium with public production and public provision: Computation, and results for the UK case, Zeitschrift fuer Nationaloekonomie, Suplemento 2, 1-26.

  • Richter, D. K., 1978, The computation of a general equilibrium in a public goods economy, Mathematieal Programming 14, 186-207, Richter, D. K., 1980, A computational appnoach to resource allocation in spatial urban models, Regional Science and Urban Economics 10, 17-42.

  • Robbins, L C., 1934, The great depression. Londres: Macmillan.

  • Robertson, D. H., 1940, Mr. Keynes and the rate of intereat, en Essays in Monetary Theory, Londres: King.

  • Roll, E., 1956, A History of Economic Thought. Englewood Cliffs: Prentice-Hall.

  • Samuelson, P. A., 1947, Foundations of Economic Analysis. Cambridge: Harvard University Press.

  • Scarf, H. E., 1967, On the Computation of equilibrium prices, en W. Fellner e. a., Ten economic studies in the tradition of Irving Fisher, 207-230.

  • Scarf, H, E., 1973, The computation of economic equilibria. New Haven: Yale University Press.

  • Scarf, H. E., y J. B. Shoven, comp., 1984, Applied General equilibrium analysis, Cambridge University Press.

  • Schlesinger, K., 1934, Ueber die Produktionsgleichungen der oekonomischen Wertlehre, Ergebnisse eines Mathematischen Kolloquiums 6, 10-11.

  • Schumpeter, J. A., 1951, Ten great economists from Marx to Keynes. Nueva York: Oxford University Press.

  • Schumpeter, J. A., 1954, History of Economic Analysis. Nueva York: Oxford University Press.

  • Shoven, John B., 1983a, Applied general equilibrium tax modeling, International Monetary Fund Staff Papers 30, 394-420.

  • Shoven, J. B., 1983b, The incidence and efficiency effects of taxes on income from capital, Journal of Political Economy 84, 1261-1283.

  • Shoven, J., y J. Whalley, 1972, A general equilibrium calculation of the effects of differential taxation of income from capital in the U. S., Journal of Public Economics 1, 281-231.

  • Shoven, J., y J. Whalley, 1973, General equilibrium with taxes: a computational procedure and an existence proof, Review ot Economic Studies, 40, 475-490.

  • Shoven, J., y J. Whalley, 1974, On the computation of competitive equilibrium in international markets with tariffs, International Journal of Economics 4, 341-354.

  • Shoven, J., y J. Whalley, 1977, Equal yield tax alternatives: General equilibrium computational techniques, Journal of Public Economics 8, 211-224.

  • Sonnenschein, H., 1973, Do Walras identity and continuity characterize the class of community excess demand functions?, Journal of Economic Theory 6, 345-354.

  • Spiegel H. W., 1971. The growth of economic thought. Englewood Cliffs: Prentice-Hall.

  • von Stackelberg, H., 1933, Zwei kritische Bemerkungen zur Preis theorie Gustav Cassels, Zeitschrift fuer Nationaloekonomie 4, 456-472.

  • Stigler, G., 1964, Statistical studies in the history of economic thought, en G. Stigler, Essays in the history of economics. Chicago: University of Chicago Press.

  • de Torres, M., 1954, Introducción, en Principios de Economía de A. Marshall. Madrid: Aguilar.

  • Uzawa, U., 1962, Walras' existence theorem and Brouwer's fixed point theorem, Economic Studies Quarterly 13, 1.

  • Wald, A., 1934, Ueber die Produktionsgleichungen der oekonomischen Wertlehre, Ergebnisse eines Mathematischen Kolloquiums 6, 12-20.

  • Wald, A., 1936, Ueber einige Gleichungssysteme der mathematischen Oekonomie, Zeitschrift fuer Nationaloekonomie 7, 637-670.

  • Walras, L., 1893, Principe d'une theorie mathematique de l'échange: Equations de l'échange. Paris, 1873.

  • Walras, L., 1874, Elements d'économie politique pure. Lausanne: L. Corbaz.

  • Walras, L., 1900, Elements d'économie politique pure. 4a edición. Lausana: F. Rouge.

  • Walras, L., 1939, Prefacio a L'économie pure du capitalisme de E. Antonelli, citado por Schumpeter (1954).

  • Weintraub, E. R., 1983, On the existence of a competitive equilibrium: 1930-1954, The Journal of Economic Literature 21, 1-39.

  • Whalley, J., 1976, A general equilibrium assessment of the 1973 United kingdom tax changes, Economica 42, 139-161.

  • Whalley, J., 1977, The United Kingdom tax system 1968-70: some fixed point indications of its economic impact, Econometrica 45, No. 8, 1837-58.

  • Whalley, J., 1979, Uniform domestic tax rates, trade distortions and economic integration. Journal of Public Economics 11, 213.

  • Zeuthen, F., 1932, Das Prinzip der Knappheit, teehnische Kombination un oekonomische Qualitaet, Zeitschrift fuer Nationaloekonomie 4, 1-24.

1. El Método Matemático

2. Resumen del desarrollo histórico de economía matemática

3. Teoría del equilibrio general

4. Cómputo del equilibrio económico

5. Referencias bibliográficas




Copyright © 1999 Ana María Martirena-Mantel
amm@mantel.org