Cardinal versus ordinal criteria in choice under risk with disconnected utility ranges
This paper provides a formal justification for the existence of subjective random components intrinsic to the outcome evaluation process of decision makers and explicitly assumed in the stochastic choice literature. We introduce the concepts of admissible error function and generalized certainty equivalent, which allow us to analyze two different criteria, a cardinal and an ordinal one, when defining suitable approximations to expected utility values. Contrary to the standard literature requirements for irrational preferences, adjustment errors arise in a natural way within our setting, their existence following directly from the disconnectedness of the range of the utility functions. Conditions for the existence of minimal errors are also studied. Our results imply that neither the cardinal nor the ordinal criterion do necessarily provide the same evaluation for two or more different prospects with the same expected utility value. As a consequence, a rational decision maker may define two different generalized certainty equivalents when presented with the same prospect in two different occasions.
Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
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- 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.
- Jonathan W. Leland, 1998. "Similarity Judgments in Choice Under Uncertainty: A Reinterpretation of the Predictions of Regret Theory," Management Science, INFORMS, vol. 44(5), pages 659-672, May.
- Loomes, Graham & Sugden, Robert, 1995. "Incorporating a stochastic element into decision theories," European Economic Review, Elsevier, vol. 39(3-4), pages 641-648, April.
- Graham Loomes, 2005. "Modelling the Stochastic Component of Behaviour in Experiments: Some Issues for the Interpretation of Data," Experimental Economics, Springer, vol. 8(4), pages 301-323, December.
- Krahnen, Jan Pieter & Rieck, Christian & Theissen, Erik, 1997. "Inferring risk attitudes from certainty equivalents: Some lessons from an experimental study," Journal of Economic Psychology, Elsevier, vol. 18(5), pages 469-486, September.
- Loomes, Graham & Moffatt, Peter G & Sugden, Robert, 2002.
"A Microeconometric Test of Alternative Stochastic Theories of Risky Choice,"
Journal of Risk and Uncertainty,
Springer, vol. 24(2), pages 103-30, March.
- Loomes, G. & Moffatt, P.G. & Sugden, R., 1998. "A Microeconometric Test of Alternative Stochastic Theories of Risky Choice," University of East Anglia Discussion Papers in Economics 9806, School of Economics, University of East Anglia, Norwich, UK..
- Jörg Rieskamp & Jerome R. Busemeyer & Barbara A. Mellers, 2006. "Extending the Bounds of Rationality: Evidence and Theories of Preferential Choice," Journal of Economic Literature, American Economic Association, vol. 44(3), pages 631-661, September.
- Wakker, Peter, 1988. "Continuity of Preference Relations for Separable Topologies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 105-10, February.
- Loomes, Graham & Sugden, Robert, 1998. "Testing Different Stochastic Specifications of Risky Choice," Economica, London School of Economics and Political Science, vol. 65(260), pages 581-98, November.
- John Hey, 2005. "Why We Should Not Be Silent About Noise," Experimental Economics, Springer, vol. 8(4), pages 325-345, December.
- 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.
- Ballinger, T Parker & Wilcox, Nathaniel T, 1997. "Decisions, Error and Heterogeneity," Economic Journal, Royal Economic Society, vol. 107(443), pages 1090-1105, July.
- Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, December.
- Loomes, Graham, 1998. "Probabilities vs Money: A Test of Some Fundamental Assumptions about Rational Decision Making," Economic Journal, Royal Economic Society, vol. 108(447), pages 477-89, March.
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