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The Life and Economic Thought of Harold Hotelling

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The Collected Economics Articles of Harold Hotelling

Abstract

Harold Hotelling was one of the most important of the twentieth-century pioneers of mathematical economics and mathematical statistics.1 In both fields he is recognised for his powerful theoretical contributions2 and he was a most effective and caring teacher. His influence, both as an economist and as a statistician, is felt not only through his publications (a large number of which are seminal3), but also through his students, amongst whom one can count many of the leading economists and statisticians of the next generation.4

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References

  • Allen, R. G. D. (1931): Review of Mathematical Introduction to Economics. Economica, 11, 108–9.

    Article  Google Scholar 

  • Allen, R. G. D. (1932): The foundation of a mathematical theory of exchange. Economica, 12, 197–226.

    Article  Google Scholar 

  • Allen, R. G. D. (1938): Mathematical Analysis for Economists. London: Macmillan.

    Google Scholar 

  • American Economic Review (1974): In Memoriam, Harold Hotelling. 64, 1102–3.

    Google Scholar 

  • Anscombe, F. J. (1980): Comment. Journal of the American Statistical Association, 75, 331.

    Google Scholar 

  • Arrow, K. J. (1987): Harold Hotelling, in Eatwell, J, Milgate, M. and Newman, P. (eds.), The New Palgrave. London: Macmillan, 2, pp. 670–1.

    Google Scholar 

  • d’Aspremont, P., Gabszewicz, J.-J. and Thisse, J.-T. (1979): On Hotelling’s “Stability in competition”. Econometrica, 47, 1145–56.

    Article  Google Scholar 

  • Bell, E. T. (1937): Men of Mathematics, New York: Simon and Schuster.

    Google Scholar 

  • Bowley, A. L. (1932): Review of Mathematical Introduction to Economics. Economic Journal, 42, 93–4.

    Article  Google Scholar 

  • Conrad, J. M. and Clark, C. W. (1987): Natural Resource Economics: Notes and Problems. Cambridge: Cambridge University Press.

    Google Scholar 

  • Cummings, R. G. (1969): Some extensions of the economic theory of exhaustible resources. Western Economic Journal, 7, 201–10.

    Google Scholar 

  • Darnell A. C. (1982): Bowley, Wicksell and the development of mathematical economics. Scottish Journal of Political Economy, 29, 156–80.

    Article  Google Scholar 

  • Darnell A. C. (1988): Harold Hotelling 1895–1973. Statistical Science, 3, 57–62.

    Article  Google Scholar 

  • Dean, R. D., Leahy, W. H., and McKee, D. L. (1970): Spatial Economic Theory. New York: The Free Press.

    Google Scholar 

  • Devarajan, S. and Fisher, A. C. (1981): Hotelling’s “Economics of exhaustible resources”: Fifty years later. Journal of Economic Literature, 19, 65–73.

    Google Scholar 

  • Edgeworth, F. Y. (1897): Teoria pura del monopolio. Giornale degli Economisti. Translated and reprinted as “The theory of monopoly” in Edgeworth ( 1925 ), Vol. I, pp. 111–42.

    Google Scholar 

  • Edgeworth, F. Y. (1897a): The pure theory of taxation. Economic Journal, 7, 46–70, 226–38 and 550–71; reprinted in Edgeworth ( 1925 ), Vol. II, pp. 63–125.

    Google Scholar 

  • Edgeworth, F. Y. (1899): Professor Seligman on the mathematical method in political economy. Economic Journal, 9, 286–315; reprinted as “Professor Seligman on the theory of monopoly” in Edgeworth (1925), Vol. I, pp. 143–71.

    Google Scholar 

  • Edgeworth, F. Y. (1910): Applications of probabilities to economics. Economic Journal, 20, 284–304 and 441–65; reprinted in Edgeworth ( 1925 ), Vol. II, pp. 387–428.

    Google Scholar 

  • Edgeworth, F. Y. (1925): Papers Relating to Political Economy, Volumes I, II and I II. London: Macmillan.

    Google Scholar 

  • Evans, G. C. (1922): A simple theory of competition. American Mathematical Monthly, 29, 371–80.

    Article  Google Scholar 

  • Evans, G. C. (1924): The dynamics of monopoly. American Mathematical Monthly, 31, 77–83.

    Article  Google Scholar 

  • Evans, G. C. (1925): The mathematical theory of economics. American Mathematical Monthly, 32, 104–10.

    Article  Google Scholar 

  • Evans, G. C. (1925a): Economics and the calculus of variations. Proceedings of the National Academy of Science, 11, 90–5.

    Article  Google Scholar 

  • Evans, G. C. (1930): Mathematical Introduction to Economics. New York: McGraw-Hill.

    Google Scholar 

  • Frisch, R. (1939): The Dupuit taxation theorem. Econometrica, 7, 145–50.

    Article  Google Scholar 

  • Frisch, R. (1939a): A further note on the Dupuit taxation theorem. Econometrica, 7, 156–7.

    Article  Google Scholar 

  • Gordon, R. L. (1967): A reinterpretation of the pure theory of exhaustion. Journal of Political Economy, 75, 274–86.

    Article  Google Scholar 

  • Gray, L. C. (1914): Rent under the assumption of exhaustibility. Quarterly Journal of Economics, 28, 497–519.

    Article  Google Scholar 

  • Grubel, H. G. and Boland, L. A. (1986): On the efficient use of mathematics in economics: Some theory, facts and results of an opinion survey. Kyklos, 39, 419–42.

    Article  Google Scholar 

  • Herbert, R. F. and Ekelund, R. F. (1984): Welfare Economics in Creedy, J. and O’Brien, D. P. (eds.), Economic Analysis in Historical Perspective. London: Butterworths, pp. 46–83.

    Google Scholar 

  • Herfindahl, O. C. (1967): Depletion and economic theory, Chapter 3 in Gaffney, M. (ed.), Extractive Resources and Taxation. Madison: University of Wisconsin Press, pp. 63–90.

    Google Scholar 

  • Hicks, J. R. (1939): Value and Capital. Oxford: Oxford University Press.

    Google Scholar 

  • Hicks, J. R. and Allen, R. G. D. (1934): A reconsideration of the theory of value, part I. Economica, n.s., 1, 52–76 and A reconsideration of the theory of value, part II: A mathematical theory of individual demand functions. Economica, n.s., 1, 196–219.

    Google Scholar 

  • Hotelling, H. (1925): A general mathematical theory of depreciation. Journal of the American Statistical Association, 20, 340–53.

    Article  Google Scholar 

  • Hotelling, H. (1925a): Economics problems involving maxima of functionals. Bulletin of the American Mathematical Society, 31, 202.

    Google Scholar 

  • Hotelling, H. (1925b): Theory of mine economics. Bulletin of the American Mathematical Society, 31, 389.

    Google Scholar 

  • Hotelling, H. (1925c): Three-dimensional manifolds of states of motion. Transactions of the American Mathematical Society, 27, 329–44.

    Article  Google Scholar 

  • Hotelling, H. (1925d): The distribution of correlation ratios calculated from random data. Proceedings of the National Academy of Science, 11, 657–62.

    Article  Google Scholar 

  • Hotelling, H. (1926): Multiple-sheeted spaces and manifolds of states of motion Transactions of the American Mathematical Society, 38, 479–90.

    Article  Google Scholar 

  • Hotelling, H. (1926a): Two generalisations of the Pearsonian correlation coefficient. Bulletin of the American Mathematical Society, 32, 98.

    Google Scholar 

  • Hotelling, H. (1927): Differential equations subject to error, and population estimates. Journal of the American Statistical Society, 22, 283–314.

    Google Scholar 

  • Hotelling, H. (1929): Stability in competition. Economic Journal, 39, 41–57.

    Article  Google Scholar 

  • Hotelling, H. (1930): The consistency and ultimate distribution of optimum statistics. Transactions of the American Mathematical Society, 32, 847–59.

    Article  Google Scholar 

  • Hotelling, H. (1931): The economics of exhaustible resources. Journal of Political Economy, 39, 137–75.

    Article  Google Scholar 

  • Hotelling, H. (1931a): The generalization of Student’s ratio. Annals of Mathematical Statistics, 2, 360–78.

    Article  Google Scholar 

  • Hotelling, H. (1931b): Review of Mathematical Introduction to Economics. Journal of Political Economy, 39, 107–9.

    Article  Google Scholar 

  • Hotelling, H. (1931c): Review of Mathematical Introduction to Economics. American Mathematical Monthly, 38, 101–3.

    Article  Google Scholar 

  • Hotelling, H. (1932): Edgeworth’s taxation paradox and the nature of supply and demand functions. Journal of Political Economy, 40, 577–616.

    Article  Google Scholar 

  • Hotelling, H. (1933): Note on Edgeworth’s taxation phenomenon and Professor Garver’s additional condition on demand functions. Econometrica, 1, 408–9.

    Article  Google Scholar 

  • Hotelling, H. (1933a): Analysis of a complex of statistical variables with principal components. Journal of Educational Psychology, 24, 417–441 and 498–520.

    Google Scholar 

  • Hotelling, H. (1935): Demand functions with limited budgets. Econometrica, 3, 66–78.

    Article  Google Scholar 

  • Hotelling, H. (1936): Curtailing production is anti-social. Columbia Alumni News, 28, 3 and 16.

    Google Scholar 

  • Hotelling, H. (1936a): Relations between two sets of variates. Biometrika, 28, 321–77.

    Google Scholar 

  • Hotelling, H. (1938): The general welfare in relation to problems of taxation and of railway and utility rates. Econometrica, 6, 242–69.

    Article  Google Scholar 

  • Hotelling, H. (1939): The relation of prices to marginal cost in an optimum system. Econometrica, 7, 151–5.

    Article  Google Scholar 

  • Hotelling, H. (1939a): A final note. Econometrica, 7, 158–60.

    Article  Google Scholar 

  • Hotelling, H. (1939b): The work of Henry Schultz, Econometrica, 7, 97–103.

    Article  Google Scholar 

  • Hotelling, H. (1940): The teaching of statistics. Annals of Mathematical Statistics, 11, 457–70.

    Article  Google Scholar 

  • Hotelling, H. (1940a): Appendix: Questions of Preinreich. Econometrica, 8, 39–44.

    Google Scholar 

  • Hotelling, H. (1943): Income tax revision as proposed by Irving Fisher. Econometrica, 11, 83–7.

    Article  Google Scholar 

  • Hotelling, H. (1947): Multivariate quality control, illustrated by the air testing of sample bomb-sights. Chapter 3 in Eisenhart, C., Hastay, M. W. and Wallis, W. A. (eds.). Selected Techniques of Statistical Analysis. New York: McGraw-Hill, pp. 111–84.

    Google Scholar 

  • Hotelling, H. (1955): Econometrics. Encyclopedia Americana, Chicago: Americana Corp., p. 556.

    Google Scholar 

  • Hotelling, H. (1958): C. F. Roos, Econometrician and mathematician. Science, 128, 1194–5.

    Article  Google Scholar 

  • Hotelling, H. and Working, H. (1929): Applications of the theory of error to the interpretation of trends. Journal of the American Statistical Association, 24, 73–85.

    Article  Google Scholar 

  • Kruskal, W. H. (1980): Comment—first interaction with Harold Hotelling; testing the Norden bomb-sight. Journal of the American Statistical Association, 75, 331–3.

    Article  Google Scholar 

  • Lerner, A. P. and Singer, H. W. (1937): Some notes on duopoly and spatial competition. Journal of Political Economy, 45, 145–86.

    Article  Google Scholar 

  • Madow, W. G. (1960): Harold Hotelling in Olkin, I., Ghurye, S. G., Hoeffding, W., Madow, W. G. and Mann, H. B. (eds.), Contributions to Probability and Statistics, Essays in Honour of Harold Hotelling. Stanford: Stanford University Press, PP. 3–5.

    Google Scholar 

  • Morrison, C. C. and Pfouts, R. W. (1981): Hotelling’s proof of the marginal cost pricing theorem. Atlantic Economic Journal, 9, 34–7.

    Article  Google Scholar 

  • Neyman, J. (1960): Harold Hotelling—A leader in mathematical statistics, in Olkin, I., Ghurye, S. G., Hoeffding, W., Madow, W. G. and Mann, H. B. (eds.), Contributions to Probability and Statistics, Essays in Honour of Harold Hotelling. Stanford: Stanford University Press, pp. 6–10.

    Google Scholar 

  • Olkin, I, Ghurye, S. G., Hoeffding, W., Madow, W. G. and Mann, H. B. (eds.), (1960): Contributions to Probability and Statistics Essays in Honour of Harold Hotelling. Stanford: Stanford University Press.

    Google Scholar 

  • Peterson, F. M. and Fisher, A. C. (1977): The exploitation of exhaustible resources: A survey. Economic Journal, 87, 681–721.

    Article  Google Scholar 

  • Pfouts, R. W. and Leadbetter, M. R. (1979): Hotelling, Harold, The International Encyclopaedia of the Social Sciences, 18, 325–8.

    Google Scholar 

  • Ponsard, C. (1983): History of Spatial Economic Theory. Berlin: Springer-Verlag. (This is a revised, translated, version of the original French edition of 1958.)

    Google Scholar 

  • Preinreich, G. A. D. (1940): The economic life of industrial equipment (with Appendix). Econometrica, 8, 12–39 and 39–44.

    Google Scholar 

  • Ramsey, F. P. (1927): A contribution to the theory of taxation. Economic Journal, 37, 47–61.

    Article  Google Scholar 

  • Ramsey, F. P. (1928): A mathematical theory of saving. Economic Journal, 39, 543–59.

    Article  Google Scholar 

  • Ruggles, N. (1949–50): Recent development in the theory of marginal-cost pricing, Review of Economic Studies, 17, 107–26.

    Article  Google Scholar 

  • Samuelson, P. A. (1950): The problem of integrability in utility theory. Economica, n.s., 17, 355–85.

    Article  Google Scholar 

  • Samuelson, P. A. (1960): Harold Hotelling as a mathematical economist. American Statistician, 14, 21–5.

    Article  Google Scholar 

  • Samuelson, P. A. (1983): Foundations of Economic Analysis. Cambridge, MA, Harvard Economic Studies, Vol. 80 (revised edition).

    Google Scholar 

  • Schultz, H. (1938): The Theory and Measurement of Demand. Chicago: Chicago University Press.

    Google Scholar 

  • Smith, W. L. (1978): Harold Hotelling 1895–1973. The Annals of Statistics, 6, 1173–83.

    Article  Google Scholar 

  • Smithies, A (1941): Optimum location in spatial competition. Journal of Political Economy, 49, 423–39.

    Article  Google Scholar 

  • Sraffa, P. (1926): The laws of returns under competitive conditions. Economic Journal, 36, 535–50.

    Article  Google Scholar 

  • Taylor, J. S. (1923): A statistical theory of depreciation based on unit cost. The Journal of the American Statistical Association, 18, 1010–23.

    Article  Google Scholar 

  • Taylor, J. S. (1925): A note on the theory of depreciation. Bulletin of the American Mathematical Society, 31, 222.

    Article  Google Scholar 

  • Wallis, W. A. (1980): The Statistical Research Group, 1942–45. Journal of the American Statistical Association, 75, 320–30 and 334–5.

    Google Scholar 

  • Wright, P. G. (1931): Review of Mathematical Introduction to Economics. American Economic Review, 21, 93–5.

    Google Scholar 

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Authors and Affiliations

  1. The Department of Economics, University of Durham, DH1 3LE, Durham, England

    Adrian C. Darnell

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  1. Adrian C. Darnell
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Editors and Affiliations

  1. The Department of Economics, University of Durham, DH1 3LE, Durham, England

    Adrian C. Darnell

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Darnell, A.C. (1990). The Life and Economic Thought of Harold Hotelling. In: Darnell, A.C. (eds) The Collected Economics Articles of Harold Hotelling. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8905-7_1

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  • DOI: https://doi.org/10.1007/978-1-4613-8905-7_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8907-1

  • Online ISBN: 978-1-4613-8905-7

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