Friedman–Savage utility function

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The Friedman–Savage utility function is the utility function postulated in the theory that Milton Friedman and Leonard J. Savage put forth in their 1948 paper. [1] They argued that the curvature of an individual's utility function differs based upon the amount of wealth the individual has. This variably curving utility function would thereby explain why an individual is risk-loving when he has more wealth (e.g., by playing the lottery) and risk-averse when he is poorer (e.g., by buying insurance). The function has been used widely, including in the field of economic history to explain why social gambling did not necessarily mean that society had gone gambling mad. [2]

Milton Friedman American economist, statistician, and writer

Milton Friedman was an American economist who received the 1976 Nobel Memorial Prize in Economic Sciences for his research on consumption analysis, monetary history and theory and the complexity of stabilization policy. With George Stigler and others, Friedman was among the intellectual leaders of the second generation of Chicago price theory, a methodological movement at the University of Chicago's Department of Economics, Law School and Graduate School of Business from the 1940s onward. Several students and young professors who were recruited or mentored by Friedman at Chicago went on to become leading economists, including Gary Becker, Robert Fogel, Thomas Sowell and Robert Lucas Jr.

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Four years after the publishing of the original article, Harry Markowitz, a former student of Friedman's, argued that some of the implications of the Friedman–Savage utility function were paradoxical. [3] Specifically, its implication that those at the highest level of income would never take risks.[ clarification needed ] His solution was to relate the curvature of an individual's utility function to increases in wealth. This involved determining an individual's "normal" level of income, controlling for utility gains from "recreational investments" (The psychological utility gained by the act of gambling), and measuring deviations from the initial level of utility at the "normal" level of income.

Harry Max Markowitz is an American economist, and a recipient of the 1989 John von Neumann Theory Prize and the 1990 Nobel Memorial Prize in Economic Sciences.

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References

  1. Friedman, Milton & Savage, L. J. (1948). "Utility Analysis of Choices Involving Risk". Journal of Political Economy . 56 (4): 279–304. doi:10.1086/256692.
  2. Paul, Helen Julia (2010). The South Sea Bubble: An Economic History of its Origins and Consequences. Routledge Explorations in Economic History. 49. New York: Routledge. ISBN   978-0-415-46973-9.
  3. Markowitz, Harry (1952). "The Utility of Wealth" (PDF). Journal of Political Economy. 60 (2): 151–158. doi:10.1086/257177.