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A HISTORY OF THE HAYEKIAN TRIANGLE

Published online by Cambridge University Press:  08 January 2026

Renaud Fillieule*
Affiliation:
Faculté des sciences économiques, sociales et des territoires, Lille University, France.

Abstract

This paper invites reflection on the nature and role of visual illustration in economics, through a historical account of the “Hayekian triangle,” a graphical representation devised by Friedrich A. Hayek to depict the structure of production and introduced in his 1931 book Prices and Production. Tracing its origins back to Hayek’s earlier “schemes” in 1929, the paper then examines the triangle’s evolution and its applications in visualizing economic phenomena such as capital accumulation and business cycles. The paper also highlights key developments by contemporaries and successors, such as Evan F. M. Durbin, Murray N. Rothbard, and Roger W. Garrison, as well as more recent formalizations that integrate mathematical precision.

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Article
Copyright
© The Author(s), 2026. Published by Cambridge University Press on behalf of History of Economics Society

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Footnotes

We are very grateful to the anonymous referees for their insightful comments and suggestions, which have greatly improved the revised version of this paper.

References

REFERENCES

Blaug, Mark, and Lloyd, Peter. 2010. Famous Figures and Diagrams in Economics. Cheltenham: Edward Elgar.CrossRefGoogle Scholar
Böhm-Bawerk, Eugen von. [1889] 1959. Positive Theory of Capital. South Holland: Libertarian Press.Google Scholar
Clark, John B. 1899. The Distribution of Wealth. A Theory of Wages, Interest, and Profits. New York: Macmillan.Google Scholar
Clark, John B.. 1907. Essentials of Economic Theory. As Applied to Modern Problems of Industry and Public Policy. New York: Macmillan.Google Scholar
Durbin, Evan F. M. 1935. The Problem of Credit Policy. London: Chapman & Hall.Google Scholar
Fillieule, Renaud. 2007. “A Formal Model in Hayekian Macroeconomics: The Proportional Goods-in-Process Structure of Production.” Quarterly Journal of Austrian Economics 10: 193208.CrossRefGoogle Scholar
Fisher, Irving. 1930. The Theory of Interest: As Determined by Impatience to Spend Income and Opportunity to Invest It. New York: Macmillan.Google Scholar
Garrison, Roger W. 1978. Austrian Macroeconomics. A Diagrammatical Exposition. Menlo Park: Institute for Humane Studies.Google Scholar
Garrison, Roger W.. 2001. Time and Money. The Macroeconomics of the Capital Structure. New York and London: Routledge.Google Scholar
Gertsen, Mark. 2019. “Interest Rates, Roundaboutness, and Business Cycles: An Empirical Study.” Quarterly Journal of Austrian Economics 22 (3): 311335.CrossRefGoogle Scholar
Giraud, Yann B. 2010. “The Changing Place of Visual Representation in Economics: Paul Samuelson Between Principle and Strategy, 1941–1955.” Journal of the History of Economic Thought 32 (2): 175197.CrossRefGoogle Scholar
Giraud, Yann B.. 2024. “Visualization or Mathematization? The London School of Economics and ‘Diagrammatic Economics’ in the 1930s.” History of Political Economy 56 (3): 441466.CrossRefGoogle Scholar
Granot, Er’el. 2019. “An Overlooked Scenario of ‘Reswitching’ in the Austrian Structure of Production.” Quarterly Journal of Austrian Economics 22 (4): 509532.CrossRefGoogle Scholar
Haberler, Gottfried. [1937] 1946. Prosperity and Depression. A Theoretical Analysis of Cyclical Movements. Third edition. New York: United Nations.Google Scholar
Hayek, Friedrich A. [1929] 1939. “Appendix: The ‘Paradox’ of Saving.” In Profits, Interest, and Investment. And Other Essays on the Theory of Industrial Fluctuations. London: Routledge, pp. 199263.Google Scholar
Hayek, Friedrich A.. [1931] 1935. Prices and Production. Second edition. London: Routledge.Google Scholar
Hayek, Friedrich A.. 1941. The Pure Theory of Capital. Chicago: University of Chicago Press.Google Scholar
Hayek, Friedrich A.. [1961] 2014. A New Look at Economic Theory. Four Lectures Given at the University of Virginia . In Caldwell, Bruce, ed., The Market and Other Orders. The Collected Works of F. A. Hayek. Volume XV. London: Routledge.Google Scholar
Hülsmann, J. Guido. 2010. “The Structure of Production Reconsidered.” Working paper, GRANEM, Angers University.Google Scholar
Jevons, Stanley W. [1871] 1965. The Theory of Political Economy. Fifth edition. New York: Augustus M. Kelley.Google Scholar
Keynes, John M. [1931] 1995. “The Pure Theory of Money. A Reply to Dr. Hayek.” In Caldwell, Bruce, ed., Contra Keynes and Cambridge. Essays, Correspondence. The Collected Works of F. A. Hayek. Volume IX. Chicago: University of Chicago Press, pp. 147158.Google Scholar
Lachmann, Ludwig. 1956. Capital and Its Structure. London: Bell & Sons.Google Scholar
Larkin, Jill H., and Simon, Herbert A.. 1987. “Why a Diagram Is (Sometimes) Worth Ten Thousand Words.” Cognitive Science 11: 6599.CrossRefGoogle Scholar
Lerner, Abba P. [1980] 1983. “Paleo-Austrian Capital Theory.” In Colander, David C., ed., Selected Economic Writings of Abba P. Lerner. New York: New York University Press, pp. 563579.Google Scholar
Lewin, Peter, and Cachanosky, Nicolàs. 2018. “The Average Period of Production: The History and Rehabilitation of an Idea.” Journal of the History of Economic Thought 40 (1): 8198.CrossRefGoogle Scholar
Lewin, Peter, and Cachanosky, Nicolàs. 2021. Capital and Finance. Theory and History. London and New York: Routledge.Google Scholar
Machaj, Mateusz. 2017. Money, Interest, and the Structure of Production . Resolving Some Puzzles in the Theory of Capital. Lanham: Lexington Books.Google Scholar
Maxwell, James Clerk. [1878] 1911. “Diagram.” The Encyclopædia Britannica. A Dictionary of Arts, Sciences, Literature and General Information , Volume VIII. Eleventh edition. New York: Encyclopædia Britannica.Google Scholar
Menger, Carl. [1871] 1976. Principles of Economics. New York: New York University Press.Google Scholar
Mises, Ludwig von. [1949] 1998. Human Action. A Treatise on Economics. Auburn: Ludwig von Mises Institute.Google Scholar
Morgan, Mary S. 2012. The World in the Model. How Economists Work and Think. Cambridge, UK: Cambridge University Press.CrossRefGoogle Scholar
Morgan, Mary S., and Knuuttila, Tarja. 2012. “Models and Modelling in Economics.” In Mäki, Uskali, ed., Handbook of the Philosophy of Science. Volume 13: Philosophy of Economics. Amsterdam: Elsevier, pp. 4987.Google Scholar
Nurske, Ragnar. 1935. “The Schematic Representation of the Structure of Production.” Review of Economic Studies 2 (3): 232244.Google Scholar
Pellengahr, Ingo. 1996. The Austrian Subjectivist Theory of Interest. An Investigation into the History of Thought. Frankfurt am Main: Peter Lang.Google Scholar
Potuzak, Pavel. 2022. Austrian Theory of Capital and Business Cycle: A Modern Approach. London: Palgrave Macmillan.CrossRefGoogle Scholar
Rapka, Przemysław. 2024. “Pointlessness of Average Period of Production: A Critique of Lewin and Cachanosky.” Review of Austrian Economics, published online: 28 November 2024. https://rdcu.be/eTQgt.CrossRefGoogle Scholar
Reisman, George. 1996. Capitalism. A Treatise on Economics. Ottawa: Jameson Books.Google Scholar
Robbins, Lionel. 1934. The Great Depression. London: Macmillan.Google Scholar
Röpke, Wilhelm. 1936. Crises and Cycles. London: William Hodge.Google Scholar
Rothbard, Murray N. 1962. Man, Economy, and State. A Treatise on Economic Principles. Princeton: D. Van Nostrand.Google Scholar
Samuelson, Paul A. 1948. Economics: An Introductory Analysis. New York: McGraw-Hill.Google Scholar
Skousen, Mark. 1990. The Structure of Production. New York: New York University Press.Google Scholar
Sraffa, Piero. [1932] 1995. “Dr. Hayek on Money and Capital.” In Caldwell, Bruce, ed., Contra Keynes and Cambridge. Essays, Correspondence . The Collected Works of F. A. Hayek. Volume IX. Chicago: University of Chicago Press, pp. 198209.Google Scholar
Strigl, Richard von. [1934] 2000. Capital and Production. Auburn: Ludwig von Mises Institute.Google Scholar
Taussig, Frank W. 1896. Wages and Capital. An Examination of the Wages Fund Doctrine. London: Macmillan.Google Scholar
Wicksell, Knut. [1901] 1977. Lectures on Political Economy. Volume 1: General Theory. Fairfield: Augustus M. Kelley.Google Scholar