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The ratio bias phenomenon: fact or artifact?

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Abstract

The ratio bias—according to which individuals prefer to bet on probabilities expressed as a ratio of large numbers to normatively equivalent or superior probabilities expressed as a ratio of small numbers—has recently gained momentum, with researchers especially in health economics emphasizing the policy importance of the phenomenon. Although the bias has been replicated several times, some doubts remain about its economic significance. Our two experiments show that the bias disappears once order effects are excluded, and once salient and dominant incentives are provided. This holds true for both choice and valuation tasks. Also, adding context to the decision problem does not alter this finding. No ratio bias could be found in between-subject tests either, which leads us to the conclusion that the policy relevance of the phenomenon is doubtful at best.

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References

  • Abdellaoui M. (2000) Parameter-free elicitation of utility and probability weighting functions. Management Science 46(1): 1497–1512

    Article  Google Scholar 

  • Abdellaoui, M., Baillon, A., Placido, L., & Wakker, P. P. (2010). The rich domain of uncertainty: Source functions and their experimental implementation. American Economic Review, forthcoming.

  • Abdellaoui M., Bleichrodt H., L’Haridon O. (2008) A tractable method to measure utility and loss aversion under prospect theory. Journal of Risk and Uncertainty 36: 245–266

    Article  Google Scholar 

  • Battalio R. C., Kagel J. H., Jiranyakul K. (1990) Testing between alternative models of choice under uncertainty. Journal of Risk and Uncertainty 3: 25–50

    Article  Google Scholar 

  • Bleichrodt H., Pinto J. L. (2000) A parameter-free elicitation of the probability weighting function in medical decision analysis. Management Science 46(11): 1485–1496

    Article  Google Scholar 

  • Bohm P. (1994) Time preference and preference reversal among experienced subjects: The effects of real payments. The Economic Journal 104: 1370–1378

    Article  Google Scholar 

  • Bonner C., Newell B. R. (2008) How to make a risk seem riskier: The ratio bias versus construal level theory. Judgment and Decision Making 3(5): 411–416

    Google Scholar 

  • Booij A., van Praag B. M. S., van de Kuilen G. (2010) A parametric analysis of prospect theory’s functionals for the general population. Theory and Decision 68(1–2): 115–148

    Article  Google Scholar 

  • Camerer C. F., Hogarth R. M. (1999) The effects of financial incentives in experiments: A review and capital-labor-production framework. Journal of Risk and Uncertainty 19(1): 7–42

    Article  Google Scholar 

  • Cubitt R. P., Munro A., Starmer C. (2004) Testing explanations of preference reversal. The Economic Journal 114: 709–726

    Article  Google Scholar 

  • Dale D., Rudski J., Schwarz A., Smith E. (2007) Innumeracy and incentives: A ratio bias phenomenon. Judgment and Decision Making 2(4): 243–250

    Google Scholar 

  • Denes-Raj V., Epstein S. (1994) Conflict between intuitive and rational processing: When people behave against third better judgment. Journal of Personality and Social Psychology 66(5): 819–829

    Article  Google Scholar 

  • Denes-Raj V., Epstein S., Cole J. (1995) The generality of the ratio-bias phenomenon. Personality and Social Psychology Bulletin 21: 1083–1092

    Article  Google Scholar 

  • Ellsberg D. (1961) Risk, ambiguity and the savage axioms. Quarterly Journal of Economics 75(4): 643–669

    Article  Google Scholar 

  • Fehr-Duda H., Bruhin A., Epper T. F., Schubert R. (2010) Rationality on the rise: Why relative risk aversion increases with stake size. Journal of Risk and Uncertainty 40(2): 147–180

    Article  Google Scholar 

  • Fellner G., Sutter M. (2009) Causes, consequences, and cures of myopic loss aversion—An experimental investigation. The Economic Journal 119(537): 900–916

    Article  Google Scholar 

  • Frisch D., Baron J. (1988) Ambiguity and rationality. Journal of Behavioral Decision Making 1: 149–157

    Article  Google Scholar 

  • Greenwald A.G. (1978) Within-subject designs: To use or not to use?. Psychological Bulletin 83: 314–320

    Article  Google Scholar 

  • Greiner, B. (2004). An online recruitment system for economic experiments. In: K. Kremer & V. Macho (Eds.),Forschung und wissenschaftliches Rechnen 2003 (pp. 79–93). GWDG Bericht 63. Göttingen: Ges. für Wiss, Datenverarbeitung.

  • Griggs R. A. (1995) The effects of rule clarification, decision justification, and selection instruction on Wason’s abstract selection task. In: Newstead S. E., Evans (Eds.) J. St. B. T. (eds) Perspectives on thinking and reasoning. Lawrence Erlbaum Associates, Hove

    Google Scholar 

  • Harrison G. W., Lau M. I., Williams M. B. (2002) Estimating individual discount rates in Denmark: A field experiment. American Economic Review 92: 1606–1617

    Article  Google Scholar 

  • Hertwig R., Ortmann A. (2001) Experimental practices in economics: A methodological challenge for psychologists?. Behavioral and Brain Sciences 24: 383–451

    Google Scholar 

  • Hey J. D., Lee J. (2005) Do subjects separate (or are they sophisticated)?. Experimental Economics 8: 233–265

    Article  Google Scholar 

  • Hogarth R. M., Kunreuther H. (1989) Risk, ambiguity and insurance. Journal of Risk and Uncertainty 2: 5–35

    Article  Google Scholar 

  • Holt C.A., Laury S.K. (2002) Risk aversion and incentive effects. American Economic Review 92: 1644–1655

    Article  Google Scholar 

  • Huck S., Weizsäcker G. (1999) Risk, complexity, and deviations from expected-value maximization: Results of a lottery choice experiment. Journal of Economic Psychology 20(6): 699–715

    Article  Google Scholar 

  • Kahneman D., Tversky A. (1979) Prospect theory: An analysis of decision under risk. Econometrica 47(2): 263–291

    Article  Google Scholar 

  • Kirkpatrick L. A., Epstein S. (1992) Cognitive-experiential self-theory and subjective probability: Further evidence for two conceptual systems. Journal of Personality and Social Psychology 63(4): 534–544

    Article  Google Scholar 

  • Köbberling V., Wakker P. P. (2005) An index of loss aversion. Journal of Economic Theory 122: 119–131

    Article  Google Scholar 

  • Kocher, M. G., & Trautmann, S. T. (2008). Selection in markets for risky and ambiguous prospects. Working Paper.

  • Lee J. (2008) The effect of the background risk in a simple chance improving decision model. Journal of Risk and Uncertainty 36: 19–41

    Article  Google Scholar 

  • Lefebvre, M., Vieider, F. M., & Villeval, M. C. (2009). A note on the effect of between subject stake variations on risk attitude. GATE Working Paper 2009-26, Lyon.

  • Lichtenstein S., Slovic P. (1971) Reversals of preference between bids and choices in gambling decisions. Journal of Experimental Psychology 89(1): 46–55

    Article  Google Scholar 

  • Miller D. T., Turnbull W., McFarland C. (1989) When a coincidence is suspicious: The role of mental simulation. Journal of Personality and Social Psychology 57(4): 581–589

    Article  Google Scholar 

  • Minor M. W. (1970) Experimenter-expectancy effect as a function of evaluation apprehension. Journal of Personality and Social Psychology 15(4): 326–332

    Article  Google Scholar 

  • Myagkov M. G., Plott C. R. (1997) Exchange economies and loss exposure: Experiments exploring prospect theory and competitive equilibria in market environments. American Economic Review 87: 801–828

    Google Scholar 

  • Pacini R., Epstein S. (1999) The relation of rational and experiential information processing styles to personality, basic beliefs, and the ratio-bias phenomenon. Journal of Personality and Social Psychology 76(6): 972–987

    Article  Google Scholar 

  • Pinto-Prades J.-L., Martinez-Perez J.-E., Abellán-Perpiñán J.-M. (2006) The influence of the ratio bias phenomenon on the elicitation of health states utilities. Judgment and Decision Making 1(2): 118–133

    Google Scholar 

  • Sawyer A. G. (1975) Demand artifacts in laboratory experiments in consumer research. Journal of Consumer Research 1(4): 20–30

    Article  Google Scholar 

  • Schmidt U., Zank H. (2005) What is loss aversion?. Journal of Risk and Uncertainty 30(2): 157–167

    Article  Google Scholar 

  • Smith V. L. (1982) Microeconomic systems as an experimental science. The American Economic Review 72(5): 923–955

    Google Scholar 

  • Starmer C., Sugden R. (1991) Does the random-lottery incentive system elicit true preferences? An experimental investigation. American Economic Review 81: 971–978

    Google Scholar 

  • Trautmann S. T., Vieider F. M., Wakker P. P. (2008) Causes of ambiguity aversion: Known versus unknown preferences. Journal of Risk and Uncertainly 36: 225–243

    Article  Google Scholar 

  • Trope Y., Liberman N. (2003) Temporal construal. Psychological Review 110: 403–421

    Article  Google Scholar 

  • Tversky A., Kahneman D. (1992) Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty 5: 297–323

    Article  Google Scholar 

  • Tversky A., Thaler R. H. (1990) Preference reversals. Journal of Economic Perspectives 4(2): 201–211

    Google Scholar 

  • Vieider, F. M. (2009). Separating real incentives and accountability. Tinbergen Discussion Paper.

  • Wilcox N. D. (1993) Lottery choice: Incentives, complexity, and decision time. Economic Journal 103(421): 1392–1417

    Article  Google Scholar 

  • Yamagishi K. (1997) When a 12.86% mortality is more dangerous than 24.14%: Implications for Risk Communication. Applied Cognitive Psychology 11: 495–506

    Article  Google Scholar 

  • Zank H. (2010) On probabilities and loss aversion. Theory and Decision 68(3): 243–261

    Article  Google Scholar 

  • Zeiliger, R. (2000). A presentation of regate, Internet based software for experimental economics, http://www.gate.cnrs.fr/~zeiliger/regate/RegateIntro.ppt, GATE. Lyon: GATE.

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Correspondence to Ferdinand M. Vieider.

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Lefebvre, M., Vieider, F.M. & Villeval, M.C. The ratio bias phenomenon: fact or artifact?. Theory Decis 71, 615–641 (2011). https://doi.org/10.1007/s11238-010-9212-9

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