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Reverse Common Ratio Effect

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  • Pavlo R. Blavatskyy
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    Abstract

    The results of a new experimental study reveal highly systematic violations of expected utility theory. The pattern of these violations is exactly the opposite of the classical common ratio effect discovered by Allais (1953). Two recent decision theories— stochastic expected utility theory (Blavatskyy, 2007) and perceived relative argument model (Loomes, 2008)—predicted the existence of a reverse common ratio effect. However, these theories can rationalize only one part of the new experimental data reported in this paper. The other part appears to be neither predicted by existing theories nor documented in the existing empirical studies.

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    Bibliographic Info

    Paper provided by Institute for Empirical Research in Economics - University of Zurich in its series IEW - Working Papers with number 478.

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    Date of creation: Feb 2010
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    Handle: RePEc:zur:iewwpx:478

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    Keywords: Expected utility theory; common ratio effect; Allais paradox; risk; experiment;

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    1. Battalio, Raymond C & Kagel, John H & Jiranyakul, Komain, 1990. " Testing between Alternative Models of Choice under Uncertainty: Some Initial Results," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 25-50, March.
    2. 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.
    3. 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.
    4. Conlisk, John, 1989. "Three Variants on the Allais Example," American Economic Review, American Economic Association, vol. 79(3), pages 392-407, June.
    5. Camerer, Colin F, 1989. " An Experimental Test of Several Generalized Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 61-104, April.
    6. Viscusi, W Kip, 1989. " Prospective Reference Theory: Toward an Explanation of the Paradoxes," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 235-63, September.
    7. 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.
    8. Loomes, Graham & Sugden, Robert, 1995. "Incorporating a stochastic element into decision theories," European Economic Review, Elsevier, vol. 39(3-4), pages 641-648, April.
    9. Pavlo Blavatskyy, 2007. "Stochastic expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 259-286, June.
    10. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    11. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-86, May.
    12. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
    13. 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.
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    Cited by:
    1. A. Nebout & D. Dubois, 2014. "When Allais meets Ulysses: Dynamic axioms and the common ratio effect," Journal of Risk and Uncertainty, Springer, vol. 48(1), pages 19-49, February.
    2. Blavatskyy, Pavlo R., 2013. "The reverse Allais paradox," Economics Letters, Elsevier, vol. 119(1), pages 60-64.
    3. Michał Krawczyk, 2014. "Probability weighting in different domains: the role of stakes, fungibility, and affect," Working Papers 2014-15, Faculty of Economic Sciences, University of Warsaw.
    4. Blavatskyy, Pavlo R., 2012. "The Troika paradox," Economics Letters, Elsevier, vol. 115(2), pages 236-239.

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