Measurement Theory and the Foundations of Utilitarianism
AbstractHarsanyi used expected utility theory to provide two axiomatizations of weighted utilitarian rules. Sen (and later, Weymark) has argued that Harsanyi has not, in fact, axiomatized utilitarianism because he has misapplied expected utility theory. Specifically, Sen and Weymark have argued that von Neumann-Morgenstern expected utility theory is an ordinal theory and, therefore, any increasing transform of a von Neumann-Morgenstern utility function is a satisfactory representation of a preference relation over lotteries satisfying the expected utility axioms. However, Harsanyi's version of utilitarianism requires a cardinal theory of utility in which only von Neumann-Morgenstern utility functions are acceptable representations of preferences. Broome has argued that von Neumann-Morgenstern expected utility theory is cardinal in the relevant sense needed to support Harsanyi's utilitarian conclusions. His basic point is that a preference binary relation is not a complete description of preferences in the von Neumann-Morgenstern theory. Rather, the preference relation needs to be supplemented by a binary operation, and it is this operation that makes the theory cardinal. Broome does not provide a formal argument in support of this conclusion. In this article, measurement theory is used to critically evaluate Broome's claims. It is shown that the criticisms of Harsanyi's theory by Sen and Weymark can be extended to the more complete description of expected utility theory that is obtained by using the mixture operators that appear in von Neumann and Morgenstern's original description of expected utility theory in addition to a preference relation
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expected utility; utilitarianism; von Neumann-Morgenstern; Harsanyi;
Other versions of this item:
- John Weymark, 2005. "Measurement theory and the foundations of utilitarianism," Social Choice and Welfare, Springer, vol. 25(2), pages 527-555, December.
- John A. Weymark, 2005. "Measurement Theory and the Foundations of Utilitarianism," Vanderbilt University Department of Economics Working Papers 0507, Vanderbilt University Department of Economics.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
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- Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279.
- Mongin, P & d'Aspremont, C, 1996.
"Utility Theory and Ethics,"
9632, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- MONGIN, Philippe & d ASPREMONT, Claude, 1996. "Utility theory and ethics," CORE Discussion Papers 1996063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- P. Mongin & C. d'Aspremont, 1996. "Utility theory and ethics," THEMA Working Papers 96-32, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- MONGIN, Philippe & d'ASPREMONT, Claude, . "Utility theory and ethics," CORE Discussion Papers RP -1423, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Milton Friedman & L. J. Savage, 1952. "The Expected-Utility Hypothesis and the Measurability of Utility," Journal of Political Economy, University of Chicago Press, vol. 60, pages 463.
- Mandler, Michael, 1999.
"Dilemmas in Economic Theory: Persisting Foundational Problems in Microeconomics,"
Oxford University Press, number 9780195100877.
- Mandler, Michael, 2001. "Dilemmas in Economic Theory: Persisting Foundational Problems of Microeconomics," OUP Catalogue, Oxford University Press, number 9780195145755.
- John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61, pages 434.
- John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309.
- Blackorby, Charles & Donaldson, David & Weymark, John A., 1999. "Harsanyi's social aggregation theorem for state-contingent alternatives1," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 365-387, November.
- Fishburn, Peter C, 1989. " Retrospective on the Utility Theory of von Neumann and Morgenstern," Journal of Risk and Uncertainty, Springer, vol. 2(2), pages 127-57, June.
- Nascimento, Leandro, 2012. "The ex-ante aggregation of opinions under uncertainty," Theoretical Economics, Econometric Society, vol. 7(3), September.
- Thibault Gajdos & Feriel Kandil, 2005.
"The ignorant observer,"
Cahiers de la Maison des Sciences Economiques
v06041, Université Panthéon-Sorbonne (Paris 1), revised Mar 2006.
- Thibault Gajdos & Feriel Kandil, 2006. "The Ignorant Observer," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00115722, HAL.
- Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00177374, HAL.
- John A Weymark, . "Social Welfare Functions," Vanderbilt University Department of Economics Working Papers vuecon-sub-13-00018, Vanderbilt University Department of Economics.
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