A Model of Probabilistic Choice Satisfying First-Order Stochastic Dominance
This paper presents a new model of probabilistic binary choice under risk. In this model, a decision maker always satisfies first-order stochastic dominance. If neither lottery stochastically dominates the other alternative, a decision maker chooses in a probabilistic manner. The proposed model is derived from four standard axioms (completeness, weak stochastic transitivity, continuity, and common consequence independence) and two relatively new axioms. The proposed model provides a better fit to experimental data than do existing models. The baseline model can be extended to other domains such as modeling variable consumer demand. This paper was accepted by Peter Wakker, decision analysis.
Volume (Year): 57 (2011)
Issue (Month): 3 (March)
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- Wilcox, Nathaniel T., 2011.
"'Stochastically more risk averse:' A contextual theory of stochastic discrete choice under risk,"
Journal of Econometrics,
Elsevier, vol. 162(1), pages 89-104, May.
- Wilcox, Nathaniel, 2007. "Stochastically more risk averse: A contextual theory of stochastic discrete choice under risk," MPRA Paper 11851, University Library of Munich, Germany.
- Pavlo R. Blavatskyy & Ganna Pogrebna, 2010. "Models of stochastic choice and decision theories: why both are important for analyzing decisions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(6), pages 963-986.
- Machina, Mark J, 1982.
""Expected Utility" Analysis without the Independence Axiom,"
Econometric Society, vol. 50(2), pages 277-323, March.
- Mark J Machina, 1982. ""Expected Utility" Analysis without the Independence Axiom," Levine's Working Paper Archive 7650, David K. Levine.
- Graham Loomes, 2005. "Modelling the Stochastic Component of Behaviour in Experiments: Some Issues for the Interpretation of Data," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 301-323, December.
- David Buschena & David Zilberman, 2000.
"Generalized Expected Utility, Heteroscedastic Error, and Path Dependence in Risky Choice,"
Journal of Risk and Uncertainty,
Springer, vol. 20(1), pages 67-88, January.
- David Buschena & David Zilberman, 2008. "Generalized expected utility, heteroscedastic error, and path dependence in risky choice," Journal of Risk and Uncertainty, Springer, vol. 36(2), pages 201-201, April.
- Uri Gneezy & John List & George Wu, 2006.
"The uncertainty effect: When a risky prospect is valued less than its worst possible outcome,"
Framed Field Experiments
00152, The Field Experiments Website.
- Uri Gneezy & John A. List & George Wu, 2006. "The Uncertainty Effect: When a Risky Prospect is Valued Less than its Worst Possible Outcome," The Quarterly Journal of Economics, Oxford University Press, vol. 121(4), pages 1283-1309.
- Hey, John D., 1995. "Experimental investigations of errors in decision making under risk," European Economic Review, Elsevier, vol. 39(3-4), pages 633-640, April.
- John Hey, 2001.
"Does Repetition Improve Consistency?,"
Springer;Economic Science Association, vol. 4(1), pages 5-54, June.
- Ondřej Rydval & Andreas Ortmann & Sasha Prokosheva & Ralph Hertwig, 2009.
"How certain is the uncertainty effect?,"
Springer;Economic Science Association, vol. 12(4), pages 473-487, December.
- Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
- Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-96, March.
- Iverson, G. & Falmagne, J. -C., 1985. "Statistical issues in measurement," Mathematical Social Sciences, Elsevier, vol. 10(2), pages 131-153, October.
- Fishburn, Peter C, 1978. "A Probabilistic Expected Utility Theory of Risky Binary Choices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 633-46, October.
- David J. Butler & Graham C. Loomes, 2007. "Imprecision as an Account of the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 97(1), pages 277-297, March.
- Pavlo Blavatskyy, 2007. "Stochastic expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 259-286, June.
- Hey, John D & Orme, Chris, 1994. "Investigating Generalizations of Expected Utility Theory Using Experimental Data," Econometrica, Econometric Society, vol. 62(6), pages 1291-1326, November.
- Blavatskyy, Pavlo R., 2008. "Stochastic utility theorem," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1049-1056, December.
- Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-33, March.
- Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-89, November.
- Gijs Kuilen & Peter Wakker, 2006. "Learning in the Allais paradox," Journal of Risk and Uncertainty, Springer, vol. 33(3), pages 155-164, December.
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