Mises, Marschak, And Markowitz: The Socialist Origins Of Modern Portfolio Theory






This paper shows that Modern Portfolio Theory emerged from the socialist tradition in the aftermath of the socialist calculation debate. After opposing Mises in the debate, the socialist Marschak developed the basic elements of Modern Portfolio Theory and handed them down to Markowitz. Marschak and Markowitz developed Modern Portfolio Theory on the basis of the subjective theory of probability. Their subjective approach must be rejected, for it is based on the self-refuting philosophy of individual relativism. Moreover, Modern Portfolio Theory cannot be reconciled with the correct frequency theory of probability. Modern Portfolio Theory was part of the socialist revolt against reason and was therefore destined to be a scientific failure.Keywords: Modern Portfolio Theory, Socialism, Subjective Theory of Probability, Frequency Theory of Probability, Jacob Marschak, Harry Markowitz


Abel, A.B., and B.S. Bernanke. (2005). Macroeconomics. Boston: Pearson Addison-Wesley.Alchian, A.A. (1955). “The Rate of Interest, Fisher’s Rate of Return Over Costs and Keynes’ Internal Rate of Return.” The American Economic Review 45(5): 938–43.Arrow, K.J. (1979). “Marschak Jacob.” In D.L. Sills (ed.), International Encyclopedia of the Social Sciences: Biographical Supplement, Vol. 18, 500–7. New York: The Free Press.

(1983). “Cowles in the History of Economic Thought.” The Cowles Fiftieth Anniversary Celebration. New Haven: Cowles Foundation for Research in Economics.

Bateman, Bradley W. (1987). “Keynes’s Changing Conception of Probability.” Economics and Philosophy 3: 97–119.Brigham, E.F., and M.C. Ehrhardt. (2005). Financial Management: Theory and Practice. Mason: Thomsom/South-Western.Brus, W. (1990). “Market Socialism.” In J. Eatwell, M. Milgate, and P. Newman (eds.), Problems of the Planned Economy, 164–77. London: Palgrave Macmillan.Childers, T. (2013). Philosophy and Probability. Oxford: Oxford University Press.Cowles, A. (1937). “Report of the Council.” Econometrica 5(2): 199. DOI: https://doi.org/10.1017/S0266267100002753

(1943). “Officers and Council for 1943.” Econometrica 11(1): 95.

Damodaran, A. (2006). Damodaran on Valuation: Security Analysis for Investment and Corporate Finance. Hoboken: Wiley.De Finetti, B. (1931). “Probabilism: A Critical Essay on the Theory of Probability and on the Value of Science.” Erkenntnis 31(2/3): 169–223. DOI: https://doi.org/10.1007/BF01236563

(1937). “Foresight: Its Logical Laws, Its Subjective Sources.” In H.E. Kyburg and H.E. Smolker (eds.), Studies in Subjective

Probability, 53–118. Huntington: Robert E. Krieger Publishing Company, 1980.

(1938). “Cambridge Probability Theorists.” The Manchester School 53(4): 348–63. DOI: https://doi.org/10.1111/j.1467-9957.1985.tb00200.x

De Vroey, M. (2016). A History of Macroeconomics from Keynes to Lucas and Beyond. New York: Cambridge University Press.Dimand, R.W. (2009). “The Cowles Commission and Foundation on the Functioning of Financial Markets from Irving Fisher and Alfred Cowles to Harry Markowitz and James Tobin.” Revue d’Histoire des Sciences Humaines 20: 79–100. DOI: https://doi.org/10.3917/rhsh.020.0079

(2019). “The Cowles Commission and Foundation for Research in Economics.” Cowles Foundation Discussion Paper No. 2207.

and H. Hagemann. (2019). “Jacob Marschak and the Cowles Approaches to the Theory of Money and Assets.” Cowles Foundation Discussion Papers No. 55.

Dimand, R.W. (2020). “Keynesian Economics at the Cowles Commission.” Review of Keynesian Studies 2: 22–45.Düppe, T., and E. R. Weintraub. (2014). Finding Equilibrium: Arrow, Debreu, McKenzie and the Problem of Scientific Credit. Princeton, Princeton University Press.Fabozzi, F.J., and H.M. Markowitz. (2002). The Theory and Practice of Investment Management. New York: Wiley.Fine, T.L. (1973). Theories of Probability: An Examination of Foundations. New York: Academic Press.Fuller, E.W. (2019). “Was Keynes a Socialist?” Cambridge Journal of Economics 43(6): 1653–82.

(2020). “Alchian on Keynes.” Review of Austrian Economics 33: 503–11. DOI: https://doi.org/10.1007/s11138-019-00471-y

Galavotti, M.C. (2005). Philosophical Introduction to Probability. Stanford: CSLI Publications.

(2017). “The Interpretation of Probability: Still an Open Issue?” Philosophies 2(4): 1–13.

Gillies, D.A. (2000). Philosophical Theories of Probability. New York: Routledge.Goetzmann, W.N. (2017). Money Changes Everything: How Finance Made Civilization Possible. Princeton: Princeton University Press

Gottlieb, A. (2000). The Dream of Reason: A History of Western Philosophy from the Greeks to the Renaissance. New York: W.W. Norton & Company.Guthrie, W.K.C. (1971). A History of Greek Philosophy, Vol. 3, Part 1: The Sophists. Cambridge: Cambridge University Press.

(1978). A History of Greek Philosophy, Vol. 5: The Later Plato and the Academy. Cambridge: Cambridge University Press.

Hagemann, H. (2017). “Franco Modigliani as ‘American’ Keynesian: How the University in Exile Economists Influenced Economics.” Social Research 84(4): 955–85. DOI: https://doi.org/10.1353/sor.2017.0058

(2019). “On the (Im)Possibility of Socialist Calculation: Marschak Versus Mises.” In J. Backhaus, G. Chaloupek, and H.A. Frambach (eds.), The First Socialization Debate (1918) and Early Efforts Towards Socialization, 223–35. Cham: Springer.

Harrod, R.F. (1937). “Mr. Keynes and Traditional Theory.” Econometrica 5(1): 74–86.Hayek, F.A. (1978). “Foreword.” In L.V. Mises, Socialism: An Economic and Sociological Analysis, xix–xxiv. Indianapolis: Liberty Fund, 1981.Hicks, J.R. (1937). “Mr. Keynes and the ‘Classics’: A Suggested Interpretation.” Econometrica 5(2): 147–59.Hoppe, H.H. (2007). “The Limits of Numerical Probability: Frank H. Knight and Ludwig von Mises and the Frequency Interpretation.” Quarterly Journal of Austrian Economics 10(1): 3–21.Huerta de Soto, J. (1992). Socialism, Economic Calculation and Entrepreneurship. Northampton: Edward Elgar, 2010.Jones, W.T. (1952). A History of Western Philosophy. New York: Harcourt, Brace & World, Inc.Kenny, A. (2010). A New History of Western Philosophy. New York: Oxford University Press.Klein, L.R. (1951). “The Life of John Maynard Keynes.” Journal of Political Economy 59(5): 443-451

(1966). The Keynesian Revolution. London: The MacMillan Press.

Kolmogorov, A.N. (1933). Foundations of the Theory of Probability. New York: Chelsea Publishing Co., 1950.Knight, F.H. (1921). Risk, Uncertainty and Profit. New York: Sentry Press, 1964.

Lange, O. (1936). “On the Economic Theory of Socialism: Part One.” The Review of Economic Studies 4(1): 53–71. DOI: https://doi.org/10.2307/2967660

(1937). “On the Economic Theory of Socialism: Part Two.” The Review of Economic Studies 4(2): 123–42. DOI: https://doi.org/10.2307/2967609

(1938). “The Rate of Interest and the Optimum Propensity to Consume.” Economica 5(17): 12–32. DOI: https://doi.org/10.2307/2548833

Lawhead, W.F. (2006). The Philosophical Journey: An Interactive Approach. Boston: McGraw Hill.Lawson, T. (1988). “Probability and Uncertainty in Economic Analysis.” Journal of Post Keynesian Economics 11(1): 38–65.Lederer, E., and J. Marschak. (1926). “The New Middle Class.” In A.J. Vidich (ed.), The New Middle Classes: Life-Styles, Status Claims and Political Orientations, 55–86. London: Palgrave Macmillan, 1995.

(1937). The New Middle Class. New York: The Department of Sociology in Columbia University.

Lijoi, A., and I. Prünster. (2011). “A Conversation with Eugenio Regazzini.” Statistical Science 26(4): 647–72.Makower, H., and J. Marschak. (1938). “Assets, Prices and Monetary Theory.” Economica 5(19): 261–88.Mariano, R.S. (2008). “Klein, Lawrence R. (born 1920).” In S.N. Durlauf and L.E. Blume (eds.) The New Palgrave Dictionary of Economics, 739–46. Basingstoke: Palgrave Macmillan.Markowitz, H.M. (1952). “Portfolio Selection.” The Journal of Finance 7(1): 77–91.

(1959). Portfolio Selection: Efficient Diversification of Investments. New Haven: Cowles Foundation for Research in Economics at Yale University.

(1991). “Foundations of Portfolio Theory.” The Journal of Finance 46(2): 469–77. DOI: https://doi.org/10.1111/j.1540-6261.1991.tb02669.x

(1993). “Trains of Thought.” The American Economist 37(1): 3–9. DOI: https://doi.org/10.1177/056943459303700101

(1999). “The Early History of Portfolio Theory: 1600–1960.” Financial Analysts Journal 55(4): 5–16. DOI: https://doi.org/10.2469/faj.v55.n4.2281

(2002). “An Interview with Harry M. Markowitz.” Charles Babbage Institute Center for the History of Information Technology. Minneapolis: University of Minnesota.

(2006). “de Finetti scoops Markowitz.” Journal of Investment Management 4(3): 5–18.

(2008). Harry Markowitz: Selected Works. Hackensack: World Scientific.

(2013). Risk-Return Analysis: The Theory and Practice of Rational Investing, Vol. 1. New York: McGraw-Hill Education.

(2016). Risk-Return Analysis: The Theory and Practice of Rational Investing, Vol. 2. New York: McGraw-Hill Education.

(2020). Risk-Return Analysis: The Theory and Practice of Rational Investing, Vol. 3. New York: McGraw-Hill Education.

Marschak, J. (1924). “Wirtschaftsrechnung und Gemeinwirtschaft. Zur Mises’schen These von der Unmöglichkeit sozialistischer Wirtschaftsrechnung.” Archiv für Sozialwissenschaft und Sozialpolitik 51(2): 501–20.

(1937). “Utilities and Probabilities in Human Choice.” Colorado Springs: Cowles Commission for Research in Economics, Report of the Third Annual Research Conference on Economics and Statistics, 79–82.

(1938). “Money and the Theory of Assets.” Econometrica 6(4): 311–25. DOI: https://doi.org/10.2307/1905409

(1948). “Measurable Utility and the Theory of Assets.” Cowles Commission Discussion Papers No. 226.

(1950). “Rational Behavior, Uncertain Prospects and Measurable Utility.” Econometrica 18(2): 111–41. DOI: https://doi.org/10.2307/1907264

(1951). Income, Employment, and the Price Level: Notes on Lectures Given at the University of Chicago, Autumn 1948 and 1949. New York: Augustus M. Kelley.

(1960). “Theory of an Efficient Several-Person Firm.” The American Economic Review 50(2): 541–48.

(1971). Recollections of Kiev and the Northern Caucasus, 1917–18. Berkeley: Regional Oral History Office, Bancroft Library, University of California at Berkeley.

(1975). “Personal Probabilities of Probabilities.” Theory and Decision 6(2): 121–53. DOI: https://doi.org/10.1007/BF00169102

Meade, J.E. (1937). “A simplified model of Mr. Keynes’ System.” The Review of Economic Studies 4(2): 98–107.Mirowski, P. (2012). “The Cowles Commission as an Anti-Keynesian Stronghold 1943–54.” In P.G. Duarte and G.T. Lima (eds.) Microfoundations Reconsidered: The Relationship of Micro and Macroeconomics in Historical Perspective, 131–67. Northampton: Edward Elgar.

and E.M. Nik-Khah. (2017). The Knowledge We Have Lost in Information: The History of Information in Modern Economics. New York: Oxford University Press.

Misak, C.J. (2020). Frank Ramsey: A Sheer Excess of Powers. Oxford: Oxford University Press.Mises, L.V. (1920). Economic Calculation in the Socialist Commonwealth. Auburn: Ludwig Von Mises Institute, 1990.

(1922). Socialism: An Economic and Sociological Analysis. Indianapolis: Liberty Fund, 1981.

(1928). “Recent Writings Concerning the Problem of Economic Calculation Under Socialism.” In R.M. Eberling (ed.), Selected Writings of Ludwig von Mises, Vol. 2, 367–71. Indianapolis: Liberty Fund, 2002.

(1933). Epistemological Problems of Economics. Indianapolis: Liberty Fund, 2013.

(1949). Human Action: A Treatise on Economics. Auburn: Ludwig von Mises Institute, 1998.

Mises, R.V. (1928). Probability, Statistics, and Truth. New York: Dover Publications, 1981.Modigliani, F. (1944). “Liquidity Preference and the Theory of Interest and Money.” Econometrica 12(1): 45–88. DOI: https://doi.org/10.2307/1905567

(1947). “L’Organizzazione e la Direzione della Produzione in un’Economia Socialista.” Giornali degli Economisti e Annali di Economia 6(9–10): 441–514.

(2001). Adventures of an Economist. New York: Texere.

Mongiovi, G. (2015). “Franco Modigliani and the Socialist State.” Unpublished Manuscript.Nagel, E. (1939). Principles of the Theory of Probability. Chicago: University of Chicago Press.Neumann, F. (1942). Behemoth: The Structure and Practice of National Socialism. Chicago: Ivan R. Dee, 2009.O’Donnell, R.M. (1999). “Keynes’s Socialism: Conception, Strategy, and Espousal.” In P. Kriesler and C. Sardoni (eds.), Keynes, Post-Keynesianism and Political Economy: Essays in Honour of Geoff Harcourt, Vol. 3, 149–75. London: Routledge.

Pasinetti, L.L. (2005). “How Much of John Maynard Keynes Can We Find in Franco Modigliani?” BNL Quarterly Review 588(233-234): 21–39.Plato, J.V. (1994). Creating Modern Probability: Its Mathematics, Physics, and Philosophy in Historical Perspective. New York: Cambridge University Press.Ramsey, F.P. (1923). “Socialism and Equality of Income.” In M.C. Galavotti (ed.), Notes on Philosophy, Probability and Mathematics, 313–19. Naples: Bibliopolis, 1991.

(1926). “Truth and Probability.” In H.E. Kyburg and H.E. Smolker (eds.), Studies in Subjective Probability, 23–52. Huntington: Robert E.Krieger Publishing Company, 1980.

(1931). The Foundations of Mathematics and Other Logical Essays. New York Harcourt Brace and Company.

Read, C. (2012a). The Portfolio Theorists: Von Neumann, Savage, Arrow and Markowitz. New York: Palgrave Macmillan.

(2012b). Rise of the Quants: Marschak, Sharpe, Black, Scholes and Merton. New York: Palgrave Macmillan.

Rothbard, M.N. (1956). “Toward a Reconstruction of Utility and Welfare Economics.” In Economic Controversies, 289–333. Auburn: Ludwig von Mises Institute, 2011.

(1962). Man, Economy, and State with Power and Market. Auburn: Ludwig von Mises Institute, 2004.

Rubin, G. (2016). “Oskar Lange and the Walrasian Interpretation of IS-LM.” Journal of the History of Economic Thought 38(3): 295–309.Samuelson, P.A. (1947). Foundations of Economic Analysis. Cambridge: Harvard University Press.Savage, L.J. (1954). The Foundations of Statistics. New York: John Wiley.Schumpeter, J.A. (1994). History of Economic Analysis. New York: Oxford University Press.Smith, D.M. 1982. Mussolini. New York: Knopf.Solow, R.M. (1983). “Cowles and the Tradition of Macroeconomics.” The Cowles Fiftieth Anniversary Celebration. New Haven: Cowles Foundation for Research in Economics.

(2005). “Modigliani and Keynes.” BNL Quarterly Review 58(233–234): 11–19.

Steil, B. (2013). The Battle of Bretton Woods: John Maynard Keynes, Harry Dexter White, and the Making of a New World Order. Princeton: Princeton University Press.Weatherford, R. (1982). Philosophical Foundations of Probability Theory. London: Routledge & Kegan Paul.Welch, I. (2009). Corporate Finance: An Introduction. New York: Prentice Hall.Young, W. (1987). Interpreting Mr Keynes: The IS-LM Enigma. Boulder: Westview Press.

and F.S. Lee. (1993). Oxford Economics and Oxford Economists. Basingstoke: Macmillan.

Young, W., and E.W. Fuller. (2022). Reinterpreting Mr. Keynes: The IS-LM Enigma Revisited. Cham: Springer. DOI: https://doi.org/10.1007/978-3-030-91342-7



2023-07-24 — Updated on 2023-07-26


How to Cite

FULLER, E. W. (2023). Mises, Marschak, And Markowitz: The Socialist Origins Of Modern Portfolio Theory. REVISTA PROCESOS DE MERCADO, 20(1), 33. https://doi.org/10.52195/pm.v20i1.853 (Original work published July 24, 2023)