Theory and Decision

, Volume 46, Issue 2, pp 139–157

Cycling with Rules of Thumb: An Experimental Test for a new form of Non-Transitive Behaviour

  • Chris Starmer


This paper tests a novel implication of the original version of prospect theory (Kahneman and Tversky, 1979): that choices may systematically violate transitivity. Some have interpreted this implication as a weakness, viewing it as an anomaly generated by the ‘editing phase’ of prospect theory which can be rendered redundant by an appropriate re-specification of the preference function. Although there is some existing evidence that transitivity fails descriptively, the particular form of non-transitivity implied by prospect theory is quite distinctive and hence presents an ideal opportunity to expose that theory to test. An experiment is reported which reveals strong evidence of the predicted intransitivity. It is argued that the existence of this new form of non-transitive behaviour presents a fresh theoretical challenge to those seeking descriptively adequate theories of choice behaviour, and a particular challenge to those who seek explanations within the conventional economic paradigm of utility maximisation.

Intransitivity Experimental economics Prospect theory 


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  1. Harless,W. and Camerer, C. (1994), The predictive utility of generalised expected utility theories, Econometrica62: 1251–1289.Google Scholar
  2. Dawes, R. (1979), The robust beauty of improper linear models in decision making, American Psychologist34: 571–582.CrossRefGoogle Scholar
  3. Edwards, W. (1954), Probability-preferences among bets with differing expected value, American Journal of Psychology67: 56–67.Google Scholar
  4. Eliashberg, J. and Hauser, J. (1985),A measurement error approach for modelling consumer risk preference, Management Science31: 1–23.Google Scholar
  5. Fishburn, P. (1982), Nontransitive measurable utility, Journal of Mathematical Psychology26: 31–67.Google Scholar
  6. Hey, J. and Orme, C. (1994), Investigating generalizations of expected utility theory using experimental data, Econometrica62: 1291–1326.Google Scholar
  7. Hershey, J. and Schoemaker, P. (1985), Probability versus certainty equivalence methods in utility measurement: are they equivalent?, Management Science31: 1213–1331.Google Scholar
  8. Holt, C.A. (1986), Preference reversals and the independence axiom, American Economic Review76: 263–291.Google Scholar
  9. Kahneman, D. and Tversky, A. (1979), Prospect theory: an analysis of decision under risk, Econometrica47: 263–291.Google Scholar
  10. Loomes, G., Starmer, C. and Sugden, R. (1989), Preference reversal, information processing effect or rational non-transitive choice, Economic Journal99 (supplement): 140–152.Google Scholar
  11. Loomes, G., Starmer, C. and Sugden, R. (1991), Observing violations of transitivity by experimental methods, Econometrica59: 425–439.Google Scholar
  12. Loomes, G. and Sugden, R. (1982), Regret theory: an alternative theory of rational choice under uncertainty, Economic Journal92: 805–824.Google Scholar
  13. Loomes, G. and Sugden, R. (1987), Some implications of a more general form of regret theory, Journal of Economic Theory41: 270–287.Google Scholar
  14. Loomes, G. and Sugden, R. (1995), incorporating a stochastic element into decision theories, European Economic Review39: 641–648.Google Scholar
  15. Machina, M. (1982), 'Expected utility’ analysis without the independence axiom, Econometrica50: 277–323.Google Scholar
  16. Machina, M. (1983), The economic theory of individual behaviour toward risk: theory, evidence and new directions, Technical Report No. 433, Center for Research on Organizational Efficiency, Stanford University, California.Google Scholar
  17. Neumann, J. von and Morgenstern, O. (1946), The Adaptive Decision Maker, Cambridge, UK: Cambridge University Press.Google Scholar
  18. Quiggin, J. (1982), A theory of anticipated utility, Journal of Economic Behaviour and Organization3: 323–343.Google Scholar
  19. Quiggin, J. (1993), Generalized Expected Utility Theory, Dordrecht, London, Boston: Kluwer.Google Scholar
  20. Rubinstein, A. (1988), Similarity and decision-making under risk, Journal of Economic Theory46: 145–153.Google Scholar
  21. Simon, H. (1955), A behavioral model of rational choice, Quarterly Journal of Economics69: 99–118.Google Scholar
  22. Schoemaker, J. and Waid, C. (1988), A probabilistic dominance measure for binary choices: analytic aspects of a multi-attribute random weights model, Journal of Mathematical Psychology42: 169–191.Google Scholar
  23. Starmer, C. and Sugden, R. (1991), Does the random-lottery incentive system elicit true preferences?, American Economic Review81: 971–979.Google Scholar
  24. Tversky, A. (1969), Intransitivity of preferences, Psychological Review76: 31–48.Google Scholar
  25. Tversky, A. (1972), Elimination by aspects: a theory of choice, Psychological Review79: 281–299.Google Scholar
  26. Tversky, A. and Kahneman, D.P. (1986), Rational choice and the framing of decisions, Journal of Business59: S251–278.Google Scholar
  27. Tversky,A. and Kahneman, D.P. (1992),Advances in prospect theory: cumulative representation of uncertainty, Journal of Risk and Uncertainty5: 297–323.Google Scholar
  28. Tversky, A., Slovic, P. and Kahneman, D. (1990), The causes of preference reversal, American Economic Review80: 204–217.Google Scholar

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Chris Starmer
    • 1
  1. 1.School of Economic and Social StudiesUniversity of East AngliaNorwichUK Phone

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