Ordinal Or Cardinal Utility: A Note

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Modern microeconomic theory is based on a foundation of ordinal preference relations. Good textbooks stress that cardinal utility functions are artificial constructions of convenience, and that economics does not attribute any meaning to “utils.” However, we argue that despite this official position, in practice mainstream economists rely on techniques that assume the validity of cardinal utility. Doing so has turned mainstream economic theorizing into an exercise of reductionism of objects down to the preferences of ‘ideal type’ subjects.

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  • 1. Arrow K.J. 1950. “A difficulty in the Concept of Social Welfare”. Journal of Political Economy 58. Chicago: University of Chicago Press.

  • 2. Barnett II W. 1989. “Subjective Cost Revisited” Review of Austrian Economics Vol. 3 pp. 137-138.

  • 3. Barnett W. II. 2003. “The Modern Theory of Consumer Behavior: Ordinal or Cardinal?” The Quarterly Journal of Austrian Economics. 6 (1): 41 − 65; http://www.qjae.org/journals/qjae/pdf/qjae6_1_3.pdf.

  • 4. Barnett W. II and Block W. 2008. “Singularism: Human Action is Binary.” Research in the History of Economic Thought & Methodology. Vol. 26-A pp. 15-30.

  • 5. Barnett W. II and Block W. Unpublished. “Thymology praxeology demand curves Giffen goods diminishing marginal utility and indifference”.

  • 6. Baumol W. 1958. “The cardinal utility that is ordinal.” Economic Journal

  • 7. Block W. 1988. “Comment on Leland Yeager on Subjectivism” Review of Austrian Economics Vol. II pp 199-208; http://www.mises.org/journals/rae/pdf/r2_12.pdf.

  • 8. Block W. 1999. “Austrian Theorizing Recalling the Foundations: Reply to Caplan” Quarterly Journal of Austrian Economics Vol. 2 No. 4 winter pp. 21-39; http://www.mises.org/journals/qjae/pdf/qjae2_4_2.pdf; errata: http://www.mises.org/journals/qjae/pdf/qjae2_4_9.pdf.

  • 9. Block W. 2003. “Realism: Austrian vs. Neoclassical Economics Reply to Caplan” Quarterly Journal of Austrian Economics Vol. 6 No. 3 Fall pp. 63-76; http://www.mises.org/journals/qjae/pdf/qjae6_3_4.pdf.

  • 10. Block W. 2005. “Rejoinder to Caplan on Bayesian Economics” Journal of Libertarian Studies. Vol. 19 No. 1 Winter pp. 79-95; http://blog.mises.org/blog/archives/003654.asp.

  • 11. Block W. 2007. “Reply to Caplan on Austrian Economic Methodology” Corporate Ownership & Control Vol. 4 No. 2 November pp. 312-zz. http://www.virtusinterpress.org/additional_files/journ_coc/issues/COC_(Volume_4_Issue_3_Sp ring_2007_Continued2).pdf.

  • 12. Block W. and Barnett II W. 2012. “Transitivity and the money pump.” Quarterly Journal of Austrian Economics vol. 15 no. 2. Summer pp. 237-251; http://mises.org/journals/qjae/pdf/qjae15_2_5.pdf.

  • 13. Buchanan J. M. and Thirlby G.F. 1981. L.S.E. Essays on Cost New York: New York University Press.

  • 14. Buchanan J. M. 1969. Cost and Choice: An Inquiry into Economic Theory Chicago: Markham.

  • 15. Buchanan J. M. 1979. “The General Implications of Subjectivism in Economics” in What Should Economists Do? Indianapolis: Liberty Press

  • 16. Butos W. and Koppl R. 1997. “The varieties of subjectivism: Keynes Hayek on expectations.” History of Political Economy 29 (2) pp. 327-59.

  • 17. Caplan B.. 1999. “The Austrian Search for Realistic Foundations” Southern Economic Journal April Vol. 65 No. 4 pp. 823-838.

  • 18. Caplan B. 2000. “Probability Common Sense and Realism: A Reply to Hulsmann and Block” Quarterly Journal of Austrian Economics Vol. 4 No. 2 Summer pp. 69-86; http://www.mises.org/journals/qjae/pdf/qjae4_2_6.pdf.

  • 19. Caplan B.. 2001. “Probability Common Sense and Realism: A Reply to Huelsmann and Block” Quarterly Journal of Austrian Economics; Vol. 2 No. 4 summer pp. 69-86; http://www.mises.org/journals/qjae/pdf/qjae4_2_6.pdf.

  • 20. Caplan B. 2003. “Probability and the Synthetic A Priori: A Reply to Block.” Quarterly Journal of Austrian Economics; Vol. 6 No. 3 Fall pp. 77-83; http://www.mises.org/journals/qjae/pdf/qjae6_3_5.pdf.

  • 21. Caplan B. 2008. “The Trojan Horse Example” June 16; http://econlog.econlib.org/archives/2008/06/the_trojan_hors.html.

  • 22. Callahan G. 2003. “Choice and Preference” February 10; http://mises.org/story/1163.

  • 23. Carilli A. M. and Dempster G. M. 2003. “A note on the treatment of uncertainty in economics and finance” Journal of Education for Business 79.2 Nov. 1 pp. 99-103.

  • 24. Cordato R. E. 1989. “Subjective Value Time Passage and the Economics of Harmful Effects” Hamline Law Review Vol. 12 No. 2 Spring pp.229-244.

  • 25. DiLorenzo T. J. 1990. “The Subjectivist Roots of James Buchanan's Economics” The Review of Austrian Economics Vol. 4 pp. 180-195.

  • 26. Ekelund R. B. Jr. and Tollison R.D. 1991. Economics. 3rd. HarperCollins Publishers; p. 148-150.

  • 27. Garrison R. 1985. “A Subjectivist Theory of a Capital Using Economy” in O'Driscoll Gerald P. and Rizzo Mario The Economics of Time and Ignorance Oxford: Basil Blackwell.

  • 28. Gordon D. 1993. Book review of Welfare Economics and Externalities in an Open-Ended Universe: A Modern Austrian Perspective by Roy E. Cordato. Boston: Kluwer Academic Publishers 1992; The Review of Austrian Economics Vol. 6 No. 2: 99-112; http://www.mises.org/journals/rae/pdf/RAE6_2_4.pdf.

  • 29. Gunning J. P. 1990. The New Subjectivist Revolution: An Elucidation and Extension of Ludwig von Mises's Contribution to Economic Theory Savage MD: Rowan and Littlefield.

  • 30. Hayek F. A. 1979. The Counter-Revolution of Science 2nd ed. Indianapolis IN: LibertyPress

  • 31. Hicks J. R. 1946 [1939]. Value and Capital: An Inquiry into Some Fundamental Principles of Economic Theory. Oxford: Clarendon Press second ed.

  • 32. Hoppe H.H. 2005. “Must Austrians Embrace Indifference?” Quarterly Journal of Austrian Economics Vol. 8 No. 4 Winter pp. 87-91; http://www.mises.org/journals/qjae/pdf/qjae8_4_6.pdf.

  • 33. Hoppe H.H. 2007. “The limits of numerical probability: Frank H. Knight and Ludwig von Mises and the frequency interpretation.” The Quarterly Journal of Austrian Economics vol. 10 no. 1 spring: 3-21; http://mises.org/journals/qjae/pdf/qjae10_1_1.pdf.

  • 34. Hülsmann J. G. 1999. “Economic Science and Neoclassicism.” Quarterly Journal of Austrian Economics Vol. 2 Num. 4 pp. 1-20; http://www.mises.org/journals/qjae/pdf/qjae2_4_1.pdf.

  • 35. JevonsW.S. 1911 [1871]. The Theory of Political Economy. London: Macmillan and Co. Journal of Happiness Studies; http://www.springer.com/social+sciences/quality+of+life+research/journal/10902.

  • 36. Jung C. G. 1971 [1921]. Psychological Types. Bollingen Series XX volume 6 Princeton University Press.

  • 37. Kirzner I. M. 1973. Competition and Entrepreneurship Chicago: University of Chicago Press.

  • 38. Kirzner I. ed. 1986. Subjectivism Intelligibility and Economic Understanding New York: New York University Press.

  • 39. Lange O. R. 1934. “The Determinateness of the Utility Function”. Review of Economic Studies. June 1934 pp. 218-25. “A note on the Determinateness of the Utility Function”. Review of Economic Studies. February 1935 pp. 155-8. “Notes on the Determinateness of the Utility Function”. By Phelps Brown Bernadelli and Lange. Review of Economic Studies. October 1937 pp. 66-77.

  • 40. Machaj M.. 2007. “A Praxeological Case for Homogeneity and Indifference.” New Perspectives on Political Economy Vol. 3 No. 2 pp. 231 - 238; http://pcpe.libinst.cz/nppe/3_2/nppe3_2_5.pdf.

  • 41. Menger C. 1950[1871]. Principles of Economics. Editors and translators James Dingwall and Bert F. Hoselitz Glencoe IL: Free Press.

  • 42. Mises L. von. [1949] 1998. Human Action Scholars’ Edition. Auburn: Mises Institute.

  • 43. Murphy R. P. 2008. “Austrian Realists.” July 17; http://mises.org/story/3028.

  • 44. Murphy R. P. Robert Wutscher and Walter E. Block. 2010. “Mathematics in Economics: An Austrian Methodological Critique.” Philosophical Investigations January Vol. 33 No. 1 pp. 44-66; http://www3.interscience.wiley.com/cgi-bin/fulltext/123209256/PDFSTART; http://onlinelibrary.wiley.com/doi/10.1111/j.1467-9205.2009.01397.x/full.

  • 45. von Neumann J and Morgenstern O. 1944. The Theory of Games and Economic Behavior. Princeton University Press.

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

  • 47. Rizzo M. J. 1979. “Uncertainty Subjectivity and the Economic Analysis of Law” in Mario J. Rizzo (ed.) Time Uncertainty and Disequilibrium Lexington MA: Lexington Books pp. 71-90.

  • 48. Rizzo M. J. 1980. “The Mirage of Efficiency” Hofstra Law Review Vol. 8 pp. 641-658.

  • 49. Ross D. 1999. What People Want: The concept of Utility from Bentham to Game Theory. University of Cape Town Press.

  • 50. Rothbard M. N. 1979. “Comment: The Myth of Efficiency” in Mario J. Rizzo (ed.) Time Uncertainty and Disequilibrium Lexington MA: Lexington Books: pp. 91-96.

  • 51. Rothbard M. N. 1993. Man Economy and State 2 vols. Auburn AL: Ludwig von Mises Institute.

  • 52. Rothbard M. N. 1997. “Toward a Reconstruction of Utility and Welfare Economics” in The Logic of Action: Method Money and the Austrian School Vol. I Cheltenham UK: Edward Elgar pp. 211-254.

  • 53. Samuelson P. 1938. “The Numerical Representation of Ordered Classifications and the Concept of Utility”. The Review of Economic Studies 1. Oxford: Blackwell Publishers.

  • 54. Stigler G. J. 1950. “The Development of Utility Theory” Journal of Political Economy; Vol. 58 No. 5 October pp. 373-396.

  • 55. Stringham E. 2001. “Kaldor-Hicks Efficiency and the Problem of Central Planning” Quarterly Journal of Austrian Economics Vol. 4 No. 2 (Summer) 41-50; http://www.mises.org/journals/qjae/pdf/qjae4_2_3.pdf.

  • 56. Stringham E. 2008. “Economic Value and Cost Are Subjective” in The Handbook of Austrian Economics Peter Boettke (editor) Cheltenham UK: Edward Elgar Publishing; http://mises.org/journals/scholar/stringham4.pdf.

  • 57. Stringham E. and White Mark. 2004. “Economic Analysis of Tort Law: Austrian and Kantian Perspectives” in Law and Economics: Alternative Economic Approaches to Legal and Regulatory Issues Margaret Oppenheimer and Nicholas Mercuro (editors) New York: M.E. Sharpe 374-92. http://www.sjsu.edu/stringham/docs/Stringham.and.White2005.pdf.

  • 58. Walras L. 1954 [1874]. Elements of Pure Economics: Or the theory of social wealth. 1954 translation of 1926 edition. Homewood Ill: Richard Irwin.

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