Combining Imprecise or Conflicting Probability Judgments: A Choice-Based Study (original) (raw)
Abstract
AI
This research explores how managers integrate probabilistic forecasts from multiple advisors with varying degrees of precision and consensus. It investigates the impact of these advisors' communication styles on decision-makers' beliefs and choices, emphasizing that both ambiguity and conflict in advisories can influence managers' confidence and trust. Findings suggest that the integration of these conflicting messages can lead to irrational decision-making behaviors.
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References (63)
- Abdellaoui, M. (2000). Parameter-free elicitation of utility and probability weighting functions. Management Science 46(11), 1497-1512.
- Abdellaoui, M., A. Baillon, L. Placido, P. P. Wakker. (2009). The rich domain of uncertainty. Working paper, Erasmus University Rotterdam, The Netherlands.
- Abdellaoui, M., F. Vossmann, and M. Weber. (2005). Choice-Based elicitation and decomposition of decision weights for gains and losses under uncertainty. Management Science 51(9), 1384-1399.
- Abdellaoui, M., H. Bleichrodt, and C. Paraschiv. (2007). Measuring Loss Aversion under Prospect Theory: A Parameter-Free Approach. Management Science 53(10) 1659-1674. .
- Alchian, A.A. (1953). The meaning of utility measurement. American Economic Review 43, 26-50.
- Beattie, J., and G. Loomes. (1997). The impact of incentives upon risky choice experiments. Journal of Risk and Uncertainty 14(2), 155-168.
- Becker, G.M., M.H. DeGroot, and J. Marchak. (1964). Measuring utility by a single response sequential method. Behavioral Science 9, 226-232.
- Bleichrodt, H., K.L. and Pinto, K. (2000). A parameter-free elicitation of the probability weighting function in medical decision analysis. Management Science 46(11), 1485-1496.
- Bordley, R.F. (1982). A multiplicative formula for aggregating probability assessments. Management Science 28, 1137-1148.
- Bostic, R., R.J. Herrnstein, and R.D Luce. (1990). The effect on the preference-reversal phenomenon of using choice indifferences. Journal of Economic Behavior and Organization 13, 193"212.
- Budescu, D.V, K.M. Kuhn, K.M. Kramer and T.R. Johnson. (2002). Modeling certainty equivalent for imprecise gambles. Organizational Behavior and Human and Decision Processes 88(2), 748-768.
- Budescu, D.V., A.K. Rantilla, H.-T. Yu, and Y.M. Karelitz. (2003). The effects of asymmetry among advisors on the aggregation of their opinions. Organizational Behavior and Human and Decision Processes 90, 178-194.
- Budescu, D.V., S. Weinberg, and T.S. Wallsten. (1988). Decisions based on numerically and verbally expressed uncertainties. Journal of Experimental Psychology: Human Perception and Performance 14(2), 281-294.
- Budescu, D.V., and H.-T. Yu. (2007). Aggregation of opinions based on correlated cues and advisors. Journal of Behavioral Decision Making 20, 153-177.
- Budescu, D.V., and H.-T. Yu, (2006). To Bayes or not to Bayes? A comparison of two classes of models of information aggregation. Decision analysis 3, 145-162
- Cabantous, L. (2007). Ambiguity aversion in the field of insurance: insurers' attitude to imprecise and conflicting probability estimates. Theory and Decision 62, 219-240.
- Camerer, C., and M. Weber. (1992). Recent developments in modeling preferences: Uncertainty and ambiguity. Journal of Risk and Uncertainty 5(4), 325-370.
- Cameron, T. A. (2005). Updating subjective risks in the presence of conflicting information: An application to climate change. Journal of Risk and Uncertainty 30(1), 63-97.
- Chesson, H.W. and W.K. Viscusi. (2003). Commonalities in time and ambiguity aversion for long-term risks. Theory and Decision 54, 57-71.
- Chow, C.C. and R.K. Sarin. (2002). Known, Unknown, and unknowable uncertainties. Theory and Decision 52, 127-138
- Clemen, R.T., and R.L. Winkler. (1999). Combining probability distributions from experts in risk analysis. Risk Analysis 19(2), 187-203.
- Dean, M., and R. Shepherd. (2007). Effects of information from sources in conflict and in consensus on perceptions of genetically modified food. Food Quality and Preference 18(2), 460-469
- Einhorn, H., and R.M. Hogarth. (1985). Ambiguity and uncertainty in probabilistic inference. Psychological Review 92, 433-461.
- Ellsberg, D. (1961). Risk, ambiguity and the Savage axioms. The Quarterly Journal of Economics 75, 643-669.
- Etchart-Vincent, N. (2004). Is probability weighting sensitive to the magnitude of consequences? An experimental investigation on losses. Journal of Risk and Uncertainty 28(3), 217-235.
- Fox, C.R., and A. Tversky. (1998). A belief-based account of decision under uncertainty. Management Science 44(7), 879.
- Goldstein, W., H. Einhorn. (1987). Expression theory and the preference reversal phenomena. Psychological Review 94, 236-254.
- Gonzalez, R., and G. Wu, (1999). On the shape of the probability weighting function. Cognitive Psychology 38, 129-166.
- Heath, C. and A. Tversky. (1991). Preference and belief: Ambiguity and competence in choice under uncertainty. Journal of Risk and Uncertainty, 4, 5-28.
- Ho, J.L., L.R. Keller and P. Keltyka. (2002). Effects of outcome and probabilistic ambiguity on managerial choices. Journal of Risk and Uncertainty 24(1), 47-74
- Ho, J.L., L.R. Keller and P. Keltyka. (2005). How do information ambiguity and timing of contextual information affect managers' goal congruence in making investment decisions in good time vs. bad times. Journal of Risk and Uncertainty 31(2), 163-186.
- Hogarth, R.M., H.J. Einhorn (1990). Venture theory: a model of decision weights. Management Science 36(7), 780-803.
- Holt, Ch. (1986). Preference reversal and the independence axiom. The American Economic Review 76(3), 508-515.
- Kadane, J. B., and R.L Winkler. (1988). Separating probability elicitation from utilities. Journal of the American Statistical Association 83, 357-363.
- Kahneman, D. and A. Tversky. (1979). Prospect Theory: An analysis of decision under risk. Econometrica 47, 263-291.
- Karni, E., and Z. Safra (1987). 'Preference reversal' and the observability of preferences by experimental methods. Econometrica 55(3), 675-685.
- Keren, G., and K.H. Teigen. (2001). Why is p = .90 better than p = .70? Preference for definitive predictions by lay consumers of probability judgments. Psychonomic Bulletin and Review 8(2), 191-2002
- Kilka, M., and M. Weber (2001). What determines the shape of the probability weighting function under uncertainty? Management Science 47(12), 1712-1726.
- Kunreuther, H., J. Meszaros, R.M. Hogarth and M. Spranca. (1995). Ambiguity and underwriter decision process. Journal of Economic Behavior and Organization 26, 337- 352.
- Larrick, R.P., J.B. Soll (2006). Intuitions about combining opinions: Misappreciation of the averaging principle. Management Science 52(1) 111-127.
- Lattimore, P.K., J.R. Baker, and A.D. Witte. (1992). The influence of probability on risky choice: A parametric examination. Journal of Economic Behavior and Organization 17, 377-400.
- Murphy, A.H., and R.L. Winkler. (1970). Scoring rules in probability assessment and evaluation. Acta Psychologica 34, 273-286.
- Roca, M., R.M. Hogarth and A.J. Maule. (2006). Ambiguity seeking as a result of the status quo bias. Journal of Risk and Uncertainty 32, 175-194.
- Smithson, M. (1999). Conflict aversion: preference for ambiguity vs conflict in sources and evidence. Organizational Behavior and Human Decision Processes 79(3), 179-198.
- Starmer, C., amd R. Sugden. (1991). Does the Random-Lottery Incentive System Elicit True Preferences? An Experimental Investigation. The American Economic Review 81(4), 971- 978
- Thaler, R.H., and E.J. Johnson. (1990). Gambling with the house money and trying to break even: the effects of prior outcomes on risky choice. Management Science 36(6), 643-660.
- Tversky, A., and C.R. Fox. (1995). Weighing risk and uncertainty. Psychological review 102(2), 269-283.
- Tversky, A., and D. Kahneman. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty 5, 297-323.
- Tversky, A., and P.P. Wakker (1995). Risk attitudes and decision weights. Econometrica 63(6), 1255-1280.
- Viscusi, W.K. (1997). Alarmist decisions with divergent risk information. Economic Journal 107, 1657"1670.
- Viscusi, W.K., and H. Chesson. (1999). Hopes and fears: the conflicting effects of risk ambiguity. Theory and Decision 47(2), 157.
- Wakker, P.P., I. Erev, and E.U. Weber. (1994). Comonotonic independence: The critical test between classical and rank-dependent utility theories. Journal of Risk and Uncertainty 9, 195"230.
- Wakker, P.P. (2004). On the composition of risk preference and belief. Psychological review 111(1), 236-241.
- Wallsten, T.S, D.V. Budescu, and R. Zwick (1993). Comparing the calibration and coherence of numerical and verbal probability judgments. Management Science 39(2), 176-190.
- Weber, E.U. (1994). From subjective probabilities to decision weights: The effect of asymmetric loss functions on the evaluation of uncertain outcomes and events. Psychological Bulleting 115(2), 228-242.
- Weber, E.U, S. Shafir, and A-R. Blais. (2004). Predicting risk sensitivity in humans and lower animals: Risk as variance or coefficient of variation. Psychological Review 111(2), 430- 445.
- Yates, J.F., P.C. Price, J-W. Lee, and J. Ramirez. (1996). Good probabilistic forecasters: The "consumer's" perspective. International Journal of Forecasting 12(1), 41-56. References
- Abdellaoui, M. (2000). Parameter-free elicitation of utility and probability weighting functions. Management Science 46(11) 1497-1512.
- Abdellaoui, M., H. Bleichrodt, O. L'Haridon. (2008). A Tractable Method to Measure Utility and Loss Aversion under Prospect Theory. Journal of Risk and Uncertainty 36, 245-266..
- Abdellaoui, M., H. Bleichrodt, C. Paraschiv. (2007). Measuring Loss Aversion under Prospect Theory: A Parameter-Free Approach. Management Science forthcoming.
- Etchart-Vincent, N. (2004). Is Probability Weighting Sensitive to the Magnitude of Consequences? An Experimental Investigation on Losses. Journal of Risk and Uncertainty 28(3) 217-235.
- Fenema, H., M. V. Assen. (1999). Measuring the utility of losses by means of the tradeoff method. Journal of Risk and Uncertainty 17(3) 277-295.
- Tversky, A., D. Kahneman. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty 5 297-323.