The weight of argument and non-additive measures: a note
This note 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 his Treatise on Probability. The paper shows, first, that Keynes’s “non-numerical probabilities” can be interpreted in terms of decisional weights and distorsions of the probability priors. Second, that the degree of non-additivity of the probability measure can account for the confidence in the assessment without any reference to a second order probability. And, third, that the criterion for decision making under uncertainty derived in the non-additive literature incorporates a measure of the degree of confidence in the probability assessment. The paper emphasises the Keynesian derivation of Ellsberg’s analysis: the parallel between Keynes and Ellsberg is deemed to be significant since Ellsberg’s insights represent the main starting point of the modern developments of decision theory under uncertainty and ambiguity.
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- Gilboa, Itzhak & Schmeidler, David, 1989.
"Maxmin expected utility with non-unique prior,"
Journal of Mathematical Economics,
Elsevier, vol. 18(2), pages 141-153, April.
- Einhorn, Hillel J & Hogarth, Robin M, 1986. "Decision Making under Ambiguity," The Journal of Business, University of Chicago Press, vol. 59(4), pages S225-50, October.
- David Dequech, 2000. "Fundamental Uncertainty and Ambiguity," Eastern Economic Journal, Eastern Economic Association, vol. 26(1), pages 41-60, Winter.
- Jürgen Eichberger & David Kelsey, 1999.
"E-Capacities and the Ellsberg Paradox,"
Theory and Decision,
Springer, vol. 46(2), pages 107-138, April.
- Amos Tversky & Daniel Kahneman, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Levine's Working Paper Archive
7656, David K. Levine.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
- Runde, Jochen, 1994. "Keynesian Uncertainty and Liquidity Preference," Cambridge Journal of Economics, Oxford University Press, vol. 18(2), pages 129-44, April.
- Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November.
- Kelsey, D., 1992.
"Maxmin Expected Utility and Weight of Evidence,"
92-20, Department of Economics, University of Birmingham.
- Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
- 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.
- 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.
- Kelsey, David & Quiggin, John, 1992.
" Theories of Choice under Ignorance and Uncertainty,"
Journal of Economic Surveys,
Wiley Blackwell, vol. 6(2), pages 133-53.
- Quiggin, J. & Kelsey, D., 1991. "Theories of Choice Under Ignorance and Uncertainty," Discussion Papers 91-17, Department of Economics, University of Birmingham.
- 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.
- Lawson, Tony, 1985. "Uncertainty and Economic Analysis," Economic Journal, Royal Economic Society, vol. 95(380), pages 909-27, December.
- David Schmeidler, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Levine's Working Paper Archive
7662, David K. Levine.
- Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Itzhak Gilboa & David Schmeidler, 1992.
"Additive Representation of Non-Additive Measures and the Choquet Integral,"
985, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Itzhak Gilboa & David Schmeidler, 1994. "Additive Representations of Non-Additive Measures and the Choquet Integral," Post-Print hal-00753149, HAL.
- Anna Carabelli, 2002. "Speculation and reasonableness: a non-Bayesian theory of rationality," Chapters, in: Post Keynesian Econometrics, Microeconomics and the Theory of the Firm, chapter 10 Edward Elgar Publishing.
- 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.
- Runde, Jochen, 1990. "Keynesian Uncertainty and the Weight of Arguments," Economics and Philosophy, Cambridge University Press, vol. 6(02), pages 275-292, October.
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