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Samuelson and Welfare Economics

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Samuelson and Neoclassical Economics

Part of the book series: Recent Economic Thought ((RETH,volume 1))

Abstract

In this essay I try to show how Samuelson, in four major works, has made a unique contribution that has set up welfare economics as a separate discipline: the study of the relationships between economic policies and value judgments. This contribution, which grew out of Berg-son’s seminal work, has consisted of setting up a formal framework for the description and classification of value judgments and the analysis of their relationships to economic systems and policies. By an exact example I make precise his point that an improvement in potential welfare can bring about a reduction in actual welfare in terms of some value judgments. I also go through the detailed argument to show how separability of the social ordering leads to the possibility of optimal decentralized decision making according to that ordering. I finally make a plea for a “revealed preference” approach to welfare economics and indicate ways in which the structure Samuelson has built can be used to determine configurations of empirical assumptions and implicit value judgments that are consistent with observed economic systems and policies.

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References

  • Allais, Maurice. 1943. Traité d’économie pure. 4 vols. Paris: Imprimerie nationale.

    Google Scholar 

  • Antonelli, G. B. 1886. Sulla teoria maiematica della economia politica [On the mathematical theory of political economy]. Pisa: nella Tipografia del Fol-chetto. English trans. in J. S. Chipman, L. Hurwicz, M. K. Richter, and H. F. Sonnenschein, eds. Preferences, Utility and Demand. New York: Harcourt Brace Jovanovich, 1971.

    Google Scholar 

  • Arrow, K. J. 1951a. “An Extension of the Basic Theorems of Classical Welfare Economics.” In Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability. Berkeley: University of California Press.

    Google Scholar 

  • Arrow, K. J. 1951b. Social Choice and Individual Values. New York: Wiley.

    Google Scholar 

  • Arrow, K. J. 1951c. “Little’s Critique of Welfare Economics.” American Economic Review 41:923–934.

    Google Scholar 

  • Bergson (Burk), A. 1938. “A Reformulation of Certain Aspects of Welfare Economics.” Quarterly Journal of Economics 52:310–334.

    Article  Google Scholar 

  • Chipman, J. S. 1974. “Homothetic Preferences and Aggregation.” Journal of Economic Theory 8(1):26–38.

    Article  Google Scholar 

  • Chipman, J. S. 1976. “The Paretian Heritage.” Cahiers Vilfredo Pareto, Revue européenne des sciences sociales 14(37):65–171.

    Google Scholar 

  • Chipman, J. S. 1982. “Samuelson and Consumption Theory.” In G. R. Feiwel, ed. Samuelson and Neoclassical Economics. Boston: KluwepNijhoff.

    Google Scholar 

  • Chipman, J. S., L. Hurwicz, M. K. Richter, and H. F. Sonnenschein, eds. 1971. Preferences, Utility and Demand. New York: Harcourt Brace Jovanovich.

    Google Scholar 

  • Chipman, J. S., and J. C. Moore. 1971. “The Compensation Principle in Welfare Economics.” In Arvid M. Zarley, ed. Papers in Quantitative Economics, Vol. 2. Lawrence: University Press of Kansas.

    Google Scholar 

  • Chipman, J. S., and J. C. Moore. 1972. “Social Utility and the Gains from Trade.” Journal of International Economics 2(2):157–172.

    Article  Google Scholar 

  • Chipman, J. S., and J. C. Moore. 1973. “Aggregate Demand, Real National Income, and the Compensation Principle.” International Economic Review 14(1):153–181.

    Article  Google Scholar 

  • Chipman, J. S., and J. C. Moore. 1976. “Why an Increase in GNP Need Not Imply an Improvement in Potential Welfare.” Kyklos 29(3):391–418.

    Article  Google Scholar 

  • Chipman, J. S., and J. C. Moore. 1978. “The New Welfare Economics, 1939–1974.” International Economic Review 19(3):547–584.

    Article  Google Scholar 

  • Chipman, J. S., and J. C. Moore. 1979. “On Social Welfare Functions and the Aggregation of Preferences.” Journal of Economic Theory 21(1):111–139.

    Article  Google Scholar 

  • Chipman, J. S., and J. C. Moore. 1980. “Real National Income with Homothetic Preferences and a Fixed Distribution of Income.” Econometrica 48(2):401–422.

    Article  Google Scholar 

  • Debreu, G. 1959. Theory of Value. New York: Wiley.

    Google Scholar 

  • Debreu, G. 1974. “Excess Demand Functions.” Journal of Mathematical Economics 1:15–21.

    Article  Google Scholar 

  • Fenchel, W. 1956. “Über konvexe Funktionen mit vorgeschriebenen Niveaumannigfaltigkeiten.” Mathematische Zeitschrift 63:496–506.

    Article  Google Scholar 

  • Finetti, B. de. 1949. “Sülle stratificazioni convesse.” Annali di Matematica Pura ed Applicata 30:173–183.

    Article  Google Scholar 

  • Gorman, W. M. 1953. “Community Preference Fields.” Econometrica 21:63–80.

    Article  Google Scholar 

  • Gorman, W. M. 1955. “The Intransitivity of Certain Criteria Used in Welfare Economics.” Oxford Economic Papers NS 7:25–35.

    Google Scholar 

  • Gorman, W. M. 1959a. “Separable Utility and Aggregation.” Econometrica 27:469–481.

    Article  Google Scholar 

  • Gorman, W. M. 1959b. “Are Social Indifference Curves Convex?” Quarterly Journal of Economics 73:485–496.

    Article  Google Scholar 

  • Graaff, J. de V. 1957. Theoretical Welfare Economics. Cambridge, England: Cambridge University Press.

    Google Scholar 

  • Harsanyi, J. C. 1955. “Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility.” Journal of Political Economy 63:309–321.

    Article  Google Scholar 

  • Hicks, J. R. 1939a. Value and Capital. Oxford: Clarendon Press.

    Google Scholar 

  • Hicks, J. R. 1939b. “The Foundations of Welfare Economics.” Economic Journal 49:696–712.

    Article  Google Scholar 

  • Hicks, J. R. 1940. “The Valuation of the Social Income.” Economica NS 7:105–124.

    Article  Google Scholar 

  • Hotelling, H. 1938. “The General Welfare in Relation to Problems of Taxation and of Railway and Utility Rates.” Econometrica 6:242–269.

    Article  Google Scholar 

  • Hurwicz, L. and H. Uzawa. 1971. “On the Integrability of Demand Functions.” In J. S. Chipman, L. Hurwicz, M. K. Richter, and H. F. Sonnenschein, eds. Preferences, Utility and Demand. New York: Harcourt Brace Jovanovich.

    Google Scholar 

  • Kaldor, N. 1939. “Welfare Propositions in Economics and Interpersonal Comparisons of Utility.” Economic Journal 49:549–552.

    Article  Google Scholar 

  • Kannai, Y. 1974. “Approximation of Convex Preferences.” Journal of Mathematical Economics 1:101–106.

    Article  Google Scholar 

  • Kannai, Y. 1977. “Concavifiability and Constructions of Concave Utility Functions.” Journal of Mathematical Economics 4:1–56.

    Article  Google Scholar 

  • Kannai, Y., and R. R. Mantel. 1978. “Non-Convexifiable Pareto Sets.” Econometrica 46(3):571–575.

    Article  Google Scholar 

  • Kemp, M. C., and A. Asimakopulos. 1952. “A Note on’ social Welfare Functions’ and Cardinal Utility.” Canadian Journal of Economics and Political Science 18:195–200.

    Article  Google Scholar 

  • Kemp, M. C., and A. Asimakopulos, and Y.-K. Ng. 1976. “On the Existence of Social Welfare Functions, Social Orderings and Social Decision Functions.” Economica NS 43:59–66.

    Article  Google Scholar 

  • Kemp, M. C., and A. Asimakopulos, and Y.-K. Ng. 1977. “More on Social Welfare Functions: The Incompatibility of Individualism and Ordinalism.” Economica NS 44:89–90.

    Article  Google Scholar 

  • Koopmans, T. C. 1957. Three Essays on the State of Economic Science. New York: McGraw-Hill.

    Google Scholar 

  • Kuznets, S. 1948. “On the Valuation of Social Income—Reflections on Professor Hicks’ Article.” Economica NS 15:1–16, 116-131.

    Article  Google Scholar 

  • Lange, O. 1942. “The Foundations of Welfare Economics.” Econometrica 10:215–228.

    Article  Google Scholar 

  • Little, I. M. D. 1949. “The Foundations of Welfare Economics.” Oxford Economic Papers NS 1:227–246.

    Google Scholar 

  • Little, I. M. D. 1950. A Critique of Welfare Economics. Oxford: Clarendon Press.

    Google Scholar 

  • McFadden, D., A. Mas-Colell, R. Mantel, and M. K. Richter. 1974. “A Characterization of Community Excess Demand Functions.” Journal of Economic Theory 9(4):361–374.

    Article  Google Scholar 

  • Mantel, R. R. 1974. “On the Characterization of Aggregate Excess Demand.” Journal of Economic Theory 7(3):348–353.

    Article  Google Scholar 

  • Mas-Colell, A. 1974. “Continuous and Smooth Consumers: Approximation Theorems.” Journal of Economic Theory 8(3):305–336.

    Article  Google Scholar 

  • Meade, J. E. 1959. “Review of A Critique of Welfare Economics, 2nd ed., by I. M. D. Little.” Economic Journal 49:124–129.

    Google Scholar 

  • Mishan, E. J. 1962. “Welfare Criteria: An Exchange of Notes. V. A Comment.” Economic Journal 72:234–244.

    Article  Google Scholar 

  • Mishan, E. J. 1980. “The New Welfare Economics: An Alternative View.” International Economic Review 21:691–705.

    Article  Google Scholar 

  • Nataf, A. 1953. “Sur des questions d’agrégation en économétric” Publications de l’Institut de Statistique de l’Université de Paris 2(4):5–61.

    Google Scholar 

  • Negishi, T. 1963. “On Social Welfare Function.” Quarterly Journal of Economics 77:156–158.

    Article  Google Scholar 

  • Pareto, V. 1894. “Il massimo di utilità data dalla libéra concorrenza.” Giornale degli Economisti [2] 9:48–66.

    Google Scholar 

  • Pareto, V. 1913. “Il massimo di utilità per una collettività in Sociologia.” Giornale degli Economisti e Rivista di Statistica [3] 46:337–341.

    Google Scholar 

  • Parks, R. P. 1976. “An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson-Samuelson Welfare Function.” Review of Economic Studies 43:447–450.

    Article  Google Scholar 

  • Pigou, A. C. 1932. The Economics of Welfare, 4th ed. London: Macmillan.

    Google Scholar 

  • Pollak, R. W. 1979. “Bergson-Samuelson Social Welfare Functions and the Theory of Social Choice.” Quarterly Journal of Economics 93:73–90.

    Article  Google Scholar 

  • Robbins, L. 1938. “Interpersonal Comparisons of Utility: A Comment.” Economic Journal 48:635–641.

    Article  Google Scholar 

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

    Google Scholar 

  • Samuelson, P. A. 1950. “Evaluation of Real National Income.” Oxford Economic Papers NS 2:1–29.

    Google Scholar 

  • Samuelson, P. A. 1954. “The Pure Theory of Public Expenditure,” Review of Economics and Statistics 36(4):387–389.

    Article  Google Scholar 

  • Samuelson, P. A. 1956. “Social Indifference Curves,” Quarterly Journal of Economics 70:1–22.

    Article  Google Scholar 

  • Samuelson, P. A. 1964. “A. P. Lerner at Sixty.” Review of Economic Studies 31(3):169–178.

    Article  Google Scholar 

  • Samuelson, P. A. 1966. The Collected Scientific Papers of Paul A. Samuelson. 2 vols. Ed. by J. E. Stiglitz. Cambridge, Mass.: MIT Press.

    Google Scholar 

  • Samuelson, P. A. 1967. “Arrow’s Mathematical Politics.” In S. Hook, ed. Human Values and Economic Policy: A Symposium. New York: New York University Press.

    Google Scholar 

  • Samuelson, P. A. 1972. The Collected Scientific Papers of Paul A. Samuelson, Vol. 3. Ed. by Robert C. Merton. Cambridge, Mass: MIT Press.

    Google Scholar 

  • Samuelson, P. A. 1974. “Complementarity: An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory.” Journal of Economic Literature 12(4):1255–1289.

    Google Scholar 

  • Samuelson, P. A. 1976. “Optimal Compacts for Redistribution.” In R. E. Grieson, ed. Public and Urban Economics: Essays in Honor of William S. Vickrey. Lexington, Mass.: Lexington Books.

    Google Scholar 

  • Samuelson, P. A. 1977a. The Collected Scientific Papers of Paul A. Samuelson, Vol. 4. Ed. by H. Nagatani and K. Crowley. Cambridge, Mass.: MIT Press.

    Google Scholar 

  • Samuelson, P. A. 1977b. “Reaffirming the Existence of ‘Reasonable’ Bergson-Samuelson Social Welfare Functions.” Economica NS 44:81–88.

    Article  Google Scholar 

  • Samuelson, P. A. 1977c. “When It Is Ethically Optimal to Allocate Money Income in Stipulated Fractional Shares.” In A. S. Blinder and P. Friedman, eds. Natural Resources, Uncertainty, and General Equilibrium Systems. New York: Academic Press.

    Google Scholar 

  • Samuelson, P. A. 1981. “Bergsonian Welfare Economics.” In S. Rosefielde, ed. Economic Welfare and the Economics of Soviet Socialism: Essays in Honor of Abram Bergson. Cambridge, England: Cambridge University Press.

    Google Scholar 

  • Scitovsky, T. 1941. “A Note on Welfare Propositions in Economics.” Review of Economic Studies 9:77–88.

    Article  Google Scholar 

  • Scitovsky, T. 1942. “A Reconsideration of the Theory of Tariffs.” Review of Economic Studies 9:89–110.

    Article  Google Scholar 

  • Sonnenschein, H. 1973. “Do Walras’ Identity and Continuity Characterize the Class of Community Excess Demand Functions?” Journal of Economic Theory 6(4):345–354.

    Article  Google Scholar 

  • Strotz, R. H. 1957. “The Empirical Implications of a Utility Tree.” Econome-trica 25:269–280.

    Article  Google Scholar 

  • Theil, H. 1954. Linear Aggregation of Economic Relations. Amsterdam: North-Holland.

    Google Scholar 

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Authors
  1. John S. Chipman
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George R. Feiwel

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© 1982 Kluwer • Nijhoff Publishing

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Chipman, J.S. (1982). Samuelson and Welfare Economics. In: Feiwel, G.R. (eds) Samuelson and Neoclassical Economics. Recent Economic Thought, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7377-0_11

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  • DOI: https://doi.org/10.1007/978-94-009-7377-0_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7379-4

  • Online ISBN: 978-94-009-7377-0

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