Keynes's "non-numerical" probabilities and non-additive measures
This paper argues that a representation of the epistemic state of the individual through a non-additive measure provides a novel account of Keynes's view of probability theory proposed in the Treatise on Probability. The paper shows, first, that Keynes's "non-numerical" probabilities can be interpreted in terms of decision weights and distortions of the probability priors. Second, it is argued that the degree of non-additivity of the probability measure can account for the confidence in a probability assessment without any reference to a second order probability, as suggested by Keynes's notion of "weight of argument". And, third, it is identified a criterion for decision making under uncertainty developed in the non-additive literature that incorporates a measure of the degree of confidence in the probability assessment. The paper aims to substantiate the view, put forward in a recent paper in this journal, that Keynes's analysis of uncertainty has continuing relevance to decision theory and can provide the foundations for a theory of decision making under uncertainty that is arguably more general than subjective expected utility theory.
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- Marcello Basili & Carlo Zappia, 2009. "Shackle And Modern Decision Theory," Metroeconomica, Wiley Blackwell, vol. 60(2), pages 245-282, 05.
- Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Kelsey, David, 1994.
"Maxmin Expected Utility and Weight of Evidence,"
Oxford Economic Papers,
Oxford University Press, vol. 46(3), pages 425-444, July.
- Kelsey, D., 1990. "Maxmin Expected Utility and Weight of Evidence," Papers 216, Australian National University - Department of Economics.
- Kelsey, D., 1992. "Maxmin Expected Utility and Weight of Evidence," Discussion Papers 92-20, Department of Economics, University of Birmingham.
- J. M. Keynes, 1937. "The General Theory of Employment," The Quarterly Journal of Economics, Oxford University Press, vol. 51(2), pages 209-223.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
- Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
- Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
- Jurgen Eichberger & Simon Grant & David Kelsey, 2006. "Updating Choquet Beliefs," Discussion Papers 0607, Exeter University, Department of Economics.
- L. Randall Wray & Stephanie Bell, 2004. "Introduction," Chapters,in: Credit and State Theories of Money, chapter 1 Edward Elgar Publishing.
- Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
- Fontana, Giuseppe & Gerrard, Bill, 2004. "A Post Keynesian theory of decision making under uncertainty," Journal of Economic Psychology, Elsevier, vol. 25(5), pages 619-637, October.
- Einhorn, Hillel J & Hogarth, Robin M, 1986. "Decision Making under Ambiguity," The Journal of Business, University of Chicago Press, vol. 59(4), pages 225-250, October.
- Lawson, Tony, 1985. "Uncertainty and Economic Analysis," Economic Journal, Royal Economic Society, vol. 95(380), pages 909-927, December.
- Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
- George Wu & Richard Gonzalez, 1999. "Nonlinear Decision Weights in Choice Under Uncertainty," Management Science, INFORMS, vol. 45(1), pages 74-85, January.
- Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
- Truman F. Bewley, 1986. "Knightian Decision Theory: Part 1," Cowles Foundation Discussion Papers 807, Cowles Foundation for Research in Economics, Yale University.
- Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-1280, November.
- Anand, Paul, 1991. "The Nature of Rational Choice and The Foundations of Statistics," Oxford Economic Papers, Oxford University Press, vol. 43(2), pages 199-216, April.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- Jürgen Eichberger & David Kelsey, 1999. "E-Capacities and the Ellsberg Paradox," Theory and Decision, Springer, vol. 46(2), pages 107-138, April.
- Eichberger, J. & Kelsey, D., 1996. "E-Capacities and the Ellsberg Paradox," Discussion Papers 96-13, Department of Economics, University of Birmingham.
- Runde, Jochen, 1990. "Keynesian Uncertainty and the Weight of Arguments," Economics and Philosophy, Cambridge University Press, vol. 6(02), pages 275-292, October.
- Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
- Itzhak Gilboa & David Schmeidler, 1989. "Maxmin Expected Utility with Non-Unique Prior," Post-Print hal-00753237, HAL.
- David Dequech, 2000. "Fundamental Uncertainty and Ambiguity," Eastern Economic Journal, Eastern Economic Association, vol. 26(1), pages 41-60, Winter.
- Ramsey, Frank P., 1926. "Truth and Probability," Histoy of Economic Thought Chapters,in: Braithwaite, R. B. (ed.), The Foundations of Mathematics and other Logical Essays, chapter 7, pages 156-198 McMaster University Archive for the History of Economic Thought.
- Runde, Jochen, 1994. "Keynesian Uncertainty and Liquidity Preference," Cambridge Journal of Economics, Oxford University Press, vol. 18(2), pages 129-144, April. Full references (including those not matched with items on IDEAS)
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