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Knock-out for descriptive utility or experimental-design error?

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Abstract

Using an experimental design of stating equivalent probabilities for 252 stimulus lottery pairs, Chechile and Cooke (1997) alleged to have refuted generic-utility theory which itself comprises many modern utility theories. The present paper systematically investigates the feasibility of the Chechile-Cooke experimental design using numerical methods. We examine 1,277 utility setups (involving 17 parameter sets for four probability-weighting functions and 11 parameter sets for three component utility functions) which represent ten different utility theories. Our results demonstrate that on average for more than one third of all stimulus lottery pairs no equivalent probabilities exist. That is, the Chechile-Cooke experimental design prevents subjects from stating their true probability equivalents. Therefore, they cannot claim to have refuted generic-utility theory and the members of its family.

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References

  • Becker, G. M., DeGroot, M.H., and Marschak, J. (1964): “Measuring Utility by a Single-Response Sequential Method.”Behavioral Science 9: 226–232.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Falmagne, J. C. (1976): “Random Conjoint Measurement and Loudness Summation.”Psychological Review 83: 65–79.

    Google Scholar 

  • Galanter, E. (1990): “Utility Functions for Nonmonetary Events.”American Journal of Psychology 103: 449–470.

    Google Scholar 

  • Gigerenzer, G., and Strube, G. (1983): “Are there Limits to Binaural Additivity of Loudness?”Journal of Experimental Psychology: Human Perception & Performance 9: 126–136.

    Google Scholar 

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

    Google Scholar 

  • Kahneman, D., and Tversky, A. (1979): “Prospect Theory: an Analysis of Decision Under Risk.”Econometrica 47: 263–291.

    Google Scholar 

  • Karmarkar, U. S. (1978): “Subjectively Weighted Utility: a Descriptive Extension of the Expected Utility Model.”Organizational Behavior and Human Performance 21: 61–72.

    Google Scholar 

  • Krantz, D. H., Luce, R. D., Suppes, P., and Tversky, A. (1971):Foundations of Measurement, vol. I:Additive and Polynomial Representations. New York: Academic Press.

    Google Scholar 

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

    Google Scholar 

  • — (1990): “Rational Versus Plausible Accounting Equivalences in Preference Judgments.”Psychological Science 1: 225–234.

    Google Scholar 

  • — (1992): “Where Does Subjective Expected Utility Fail Descriptively?”Journal of Risk and Uncertainty 5: 5–27.

    Google Scholar 

  • — (1990): “Binary Gambles of a Gain and a Loss: an Understudied Domain.” InMathematical Utility Theory. Utility Functions, Models, and Applications in the Social Sciences, edited by G. Herden, N. Knoche, C. Seidl, and W. Trockel (Journal of Economics/Zeitschrift für Nationalökonomie, Supplementum 8). Vienna: Springer.

    Google Scholar 

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

    Google Scholar 

  • — (1995): “A Note on Deriving Rank-Dependent Utility Using Additive Joint Receipts.”Journal of Risk and Uncertainty 11: 5–16.

    Google Scholar 

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

    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 

  • Neumann, J. von, and Morgenstern, O. (1947):Theory of Games and Economic Behavior, 2nd ed. Princeton: Princeton University Press.

    Google Scholar 

  • Röell, A. (1987): “Risk Aversion in Quiggin and Yaari's Rank-Order Model of Choice under Uncertainty.”Economic Journal 97: 143–159.

    Google Scholar 

  • Seidl, C. (2000): “Experimental and Empirical Research on Utility II: Utility under Risk.” InHandbook of Utility Theory, vol. II, edited by S. Barberà, P. J. Hammond, and C. Seidl. Boston: Kluwer (forthcoming).

    Google Scholar 

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

    Google Scholar 

  • Tversky, A., and Kahneman, D. (1992): “Advances in Prospect Theory: Cumulative Representations of Uncertainty.”Journal of Risk and Uncertainty 5: 297–323.

    Google Scholar 

  • Yaari, M. E. (1987): “The Dual Theory of Choice under Risk.”Econometrica 55: 95–115.

    Google Scholar 

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This paper was submitted to theJournal of Risk and Uncertainty on January 14, 1999. It was, however, rejected on April 16, 1999.

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Traub, S., Seidl, C., Schmidt, U. et al. Knock-out for descriptive utility or experimental-design error?. Journal of Economics Zeitschrift für Nationalökonomie 70, 109–126 (1999). https://doi.org/10.1007/BF01224765

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  • DOI: https://doi.org/10.1007/BF01224765

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