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Reassessing the Testing of Generic Utility Models for Mixed Gambles

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Abstract

Miyamoto's generic utility theory (GUT) is a bilinear form that captures a diverse set of utility formulations. The present study, using mixed gambles, experimentally evaluates GUT in a fashion similar to the Chechile and Cooke and the Chechile and Butler studies, but employs a novel method of analysis. The reasons for the new method is to solve a fundamental flaw with the regression approacch used in the earlier experiments and to solve a problem of model overfit. Several participants from the earlier Chechile and Butler experiment are now recognized as being consistent with the GUT representation, but many are not. A new experiment, with actual economic consequences for the participants, does not support GUT. Suggestions are provided for subsequent research studies assessing the GUT class of models.

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References

  • Becker, J.L. and R.K. Sarin. (1987). "Lottery Dependent Utility," Management Science 33, 1367–1382.

    Google Scholar 

  • Bernoulli, D. (1738). "Specimen Theoriae Novae de Mensura Sortis," Comentarii Academiae Scientiarum Imperiales Petropolitanae 5, 175–192.

    Google Scholar 

  • Burnham, K.P. and D.R. Anderson. (1998). Model Selection and Inference: A Practical Information-Theoretic Approach. New York: Springer.

    Google Scholar 

  • Chechile, R.A. and S.F. Butler. (2000). "Is 'Generic Utility Theory' a Suitable Theory of Choice Behavior for Gambles with Mixed Gains and Losses?" Journal of Risk and Uncertainty 20, 189–211.

    Google Scholar 

  • Chechile, R.A. and A.D.J. Cooke. (1997). "An Experimental Test of a General Class of Utility Models: Evidence for Context Dependency," Journal of Risk and Uncertainty 14, 75–93.

    Google Scholar 

  • Chechile, R.A. and R.D. Luce. (1999). "Re-Analysis of the Chechile-Cooke Experiment: Correcting for Mismatched Gambles," Journal of Risk and Uncertainty 18, 321–325.

    Google Scholar 

  • Chew, S. (1983). "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica 51, 1065–1092.

    Google Scholar 

  • Edwards, W. (1962). "Subjective Probabilities Inferred from Decisions," Psychological Review 69, 109–135.

    Google Scholar 

  • Fishburn, P.C. (1983). "Transitive Measurable Utility," Journal of Economic Theory 31, 293–317.

    Google Scholar 

  • Handa, J. (1977). "Risk, Probabilities, and a New Theory of Cardinal Utility," Journal of Political Economy 85, 97–122.

    Google Scholar 

  • Huygens, C. (1657). Tractatus de Ratiociniis in Ludo Aleane. Amsterdam.

  • Kahneman, D. and A. Tversky. (1979). "Prospect Theory: An Analysis of Decision Under Risk," Econometrika 47, 263–291.

    Google Scholar 

  • Karmarkar, U.S. (1978). "SubjectivelyWeighted Utility:ADescriptive Extension of the Extension of The Expected Utility Model," Organization Behavior and Human Performance 21, 623–638.

    Google Scholar 

  • Kirk, R.E. (1995). Experimental Design: Procedures for the Behavioral Sciences. Pacific Grove, CA: Brooks/Coles.

    Google Scholar 

  • Luce, R.D. (1988). "Rank-Dependent, Subjective Expected-Utility Representations," Journal of Risk and Uncertainty 1, 305–332.

    Google Scholar 

  • Luce, R.D. (1990). "Rational Versus Plausible Accounting Equivalences in Preference Judgments," Psychological Science 1, 225–234.

    Google Scholar 

  • Luce, R.D. (1992). "Where does Subjective Expected Utility Fail Descriptively?" Journal of Risk and Uncertainty 5, 5–27.

    Google Scholar 

  • Luce, R.D. (2000). Utility of Gains and Losses: Measurement-Theoretical and Experimental Approaches. London: Lawrence Erlbaum Publishers.

    Google Scholar 

  • Luce, R.D. (2001). "Reduction Invariance and Prelec'sWeighting Functions," Journal of Mathematical Psychology 45, 167–179.

    Google Scholar 

  • Luce, R.D. and P.C. Fishburn. (1991). "Rank and Sign Dependent Linear Utility Models for Finite First-Order Gambles," Journal of Risk and Uncertainty 4, 29–59.

    Google Scholar 

  • Luce, R.D. and P.C. Fishburn. (1995). "ANote on Deriving Rank-Dependent Utility Using Additive Joint Receipts," Journal of Risk and Uncertainty 11, 5–16.

    Google Scholar 

  • Luce, R.D. and L. Narens. (1985). "Classification of Concatenation Measurement Structures According to Scale Type," Journal of Mathematical Psychology 29, 1–72.

    Google Scholar 

  • Machina, M.J. (1989). "Dynamic Consistency and Non-Expected Utility Models of Choice Under Uncertainty," Journal of Economic Literature 27, 1622–1668.

    Google Scholar 

  • Madansky, A. (1989). "The Fitting of Straight Lines When Both Variables Are Subject to Error," Journal of the American Statistical Association 54, 173–205.

    Google Scholar 

  • Miyamoto, J.M. (1988). "Generic Utility Theory: Measurement Foundations and Applications in Multiattribute Utility Theory," Journal of Mathematical Psychology 32, 357–404.

    Google Scholar 

  • Miyamoto, J.M. (1992). "Generic Analysis of Utility Models." InWard Edwards (ed.), Utility Theories: Measurements and Applications. Boston: Kulwer Academic Publishers.

    Google Scholar 

  • Myung, I.J., M.R. Forster, and M.W. Browne. (2000). "Guest Editors' Introduction: Special Issue on Model Selection," Journal of Mathematical Psychology 44, 1–2.

    Google Scholar 

  • Prelec, D. (1998). "The Probability Weighting Function," Econometrica 66, 497–527.

    Google Scholar 

  • Quiggin, J. (1982). "A Theory of Anticipated Utility," Journal of Economic Behavior and Organizations 3, 323–343.

    Google Scholar 

  • Quiggin, J. (1993). Generalized Expected Utility Theory: The Rank Dependent Model. Boston: Kluwer Academic Publishers.

    Google Scholar 

  • Schmeidler, D. (1989). "Subjective Probability and Expected Utility with Additivity," Econometrica 57, 571–587.

    Google Scholar 

  • Smith, V.L. (1982). "Microeconomic Systems as an Experimental Science," The American Economic Review 72, 923–955.

    Google Scholar 

  • Tversky, A. (1967). "Additivity, Utility, and Subjective Probability," Journal of Mathematical Psychology 4, 175–201.

    Google Scholar 

  • Von Neumann, J. and O. Morgenstern. (1947). Theory of Games and Economic Behavior. Princeton: Princeton University Press.

    Google Scholar 

Download references

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Correspondence to Richard A. Chechile.

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Chechile, R.A., Butler, S.F. Reassessing the Testing of Generic Utility Models for Mixed Gambles. Journal of Risk and Uncertainty 26, 55–76 (2003). https://doi.org/10.1023/A:1022250307197

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