¹ See, e.g., Leontief, W. W., The Structure of American Economy, 2nd ed., New York, Oxford University Press, 1951.Google ScholarRyan, J., “The Leontief System,” Southern Economic Journal, XIX (April 1953),Google Scholar provides a fairly elementary exposition.

² See, particularly, his Social Choice and Individual Values, Cowles Commission monograph No. 12, New York, Wiley, 1951. See also Black, Duncan and Newing, R. A., Committee Decisions with Complementary Valuation, London, Hodge, 1951Google Scholar, and the references to Black's work in Arrow, op. cit.

³ See, e.g., Arrow, , op. cit., pp. 2–3.Google Scholar

⁴ See Hildreth, Clifford, “Alternative Conditions for Social Orderings,” Econometrica, XXI (January 1953)Google Scholar; and Goodman, Leo A. and Markowitz, Harry, “Social Welfare Functions Based on Individual Rankings,” American Journal of Sociology, LVIII (November 1952).Google Scholar

⁵ Welfare Economics and the Theory of the State, Cambridge, Mass., Harvard University Press, 1952.