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Arrow, Kenneth Joseph (Born 1921)

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Abstract

Kenneth Arrow is the author of key post-Second World War innovations in economics that have made economic theory a mathematical science. The Arrow Possibility Theorem created the field of social choice theory. Arrow extended and proved the relationship of Pareto efficiency with economic general equilibrium to include corner solutions and non-differentiable production and utility functions. With Gerard Debreu, he created the Arrow–Debreu mathematical model of economic general competitive equilibrium including sufficient conditions for the existence of market-clearing prices. Arrow securities and contingent commodities extend the model to cover uncertainty and provide a cornerstone of the modern theory of finance.

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Bibliography

  • Aumann, R. 1966. Existence of competitive equilibria in markets with a continuum of traders. Econometrica 34: 1–17.

    Article  Google Scholar 

  • Black, D. 1948. On the rationale of group decision-making. Journal of Political Economy 56: 23–34.

    Article  Google Scholar 

  • Breit, W. and Spencer, R., (eds.). 1986. Kenneth J. Arrow. Lives of the laureates: Seven nobel economists. Cambridge, MA/London: MIT Press.

    Google Scholar 

  • Chichilnisky, G. (ed.). 1999. Markets, information, and uncertainty: Essays in economic theory in Honor of Kenneth J. Arrow. New York: Cambridge University Press.

    Google Scholar 

  • Condorcet, J.-A.-N. de Caritat, marquis de. 1785. Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix. Paris: Imprimerie royale.

    Google Scholar 

  • Debreu, G. 1959. Theory of value, Cowles Foundation Monograph No. 17. New York: Wiley.

    Google Scholar 

  • Debreu, G. 1983. Mathematical economics at Cowles. Online. Available at http://cowles.econ.yale.edu/about-cf/50th/debreu.htm. Accessed 9 July 2005.

  • Debreu, G., and H. Scarf. 1963. A limit theorem on the core of an economy. International Economic Review 4: 235–246.

    Article  Google Scholar 

  • Heller, W., R. Starr, and D. Starrett (eds.). 1986. Essays in Honor of Kenneth J. Arrow, vol. 3. Cambridge: Cambridge University Press.

    Google Scholar 

  • Hicks, J. 1939. Value and capital. Oxford: Clarendon.

    Google Scholar 

  • Kolmogorov, A. 1933. Grundbegriffe der Wahrscheinlichkeitsrechnung. Berlin: J. Springer.

    Book  Google Scholar 

  • Kuhn, H., and A. Tucker. 1951. Nonlinear programming. In Proceedings of the second Berkeley symposium on mathematical statistics and probability, ed. J. Neyman. Berkeley: University of California Press.

    Google Scholar 

  • Lindbeck, A. (ed.). 1992. Nobel Lectures: Economic sciences, 1969–1980. Singapore: World Scientific Publishing Co.

    Google Scholar 

  • McKenzie, L. 1954. On equilibrium in Graham’s model of world trade and other competitive systems. Econometrica 22: 147–161.

    Article  Google Scholar 

  • Nash, J. 1950. Equilibrium points of N-person games. Proceedings of the National Academy of Sciences of the USA 36: 48–49.

    Article  Google Scholar 

  • Romer, P. 1994. The origins of endogenous growth. Journal of Economic Perspectives 8(1): 3–22.

    Article  Google Scholar 

  • Russell, B. 1920. Introduction to Mathematical Philosophy. London/New York: Allen and Unwin/Macmillan.

    Google Scholar 

  • Samuelson, P. 1947. Foundations of economic analysis. Cambridge, MA: Harvard University Press.

    Google Scholar 

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

    Google Scholar 

  • Sen, A. 1986. Social choice theory. In Handbook of mathematical economics, vol. 3, ed. K. Arrow and M. Intriligator. New York: Elsevier.

    Google Scholar 

  • Suppes, P. 2005. The pre-history of Kenneth Arrow’s social choice and individual values. Unpublished manuscript. Stanford: Center for the Study of Language and Information, Stanford University.

    Google Scholar 

  • Tarski, A. 1941. Introduction to logic. New York: Oxford University Press.

    Google Scholar 

  • Tinbergen, J. 1939. Business cycles in the United States of America, 1919–1932. Geneva: Economic Intelligence Service, League of Nations.

    Google Scholar 

  • Wald, A. 1934–35. Uberdie Produktionsgleichungen der Oekonomischen Wertlehre. Ergebnisse eines Mathematischen Kolloquiums 7, 1–6.

    Google Scholar 

  • Wald, A. 1936. Uber einige Gleichungssystem der mathematischen Okonomie. Zeitschrift fur Nationaloekonomie 7, 637–70. Translated by Otto Eckstein as ‘On some systems of equations of mathematical economics’, Econometrica 19(1951) 368–403.

    Google Scholar 

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Starr, R.M. (2018). Arrow, Kenneth Joseph (Born 1921). In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_1926

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