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Eliciting Subjective Probabilities with Binary Lotteries

  • Glenn W. Harrison
  • Jimmy Martínez-Correa
  • J. Todd Swarthout

We evaluate the binary lottery procedure for inducing risk neutral behavior in a subjective belief elicitation task. Harrison, Martinez-Correa and Swarthout [2013] found that the binary lottery procedure works robustly to induce risk neutrality when subjects are given one risk task defined over objective probabilities. Drawing a sample from the same subject population, we find evidence that the binary lottery procedure induces linear utility in a subjective probability elicitation task using the Quadratic Scoring Rule. We also show that the binary lottery procedure can induce direct revelation of subjective probabilities in subjects with certain Non-Expected Utility preference representations that satisfy weak conditions that we identify.

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File URL: http://excen.gsu.edu/workingpapers/GSU_EXCEN_WP_2012-16.pdf
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Paper provided by Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University in its series Experimental Economics Center Working Paper Series with number 2012-16.

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Length: 52
Date of creation: Sep 2012
Date of revision:
Handle: RePEc:exc:wpaper:2012-16
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  1. Glenn W. Harrison & Jimmy Martínez-Correa & J. Todd Swarthout, 2012. "Reduction of Compound Lotteries with Objective Probabilities: Theory and Evidence," Experimental Economics Center Working Paper Series 2012-04, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  2. Holt, Charles A. & Smith, Angela M., 2009. "An update on Bayesian updating," Journal of Economic Behavior & Organization, Elsevier, vol. 69(2), pages 125-134, February.
  3. Theo Offerman & Joep Sonnemans & Gijs Van De Kuilen & Peter P. Wakker, 2009. "A Truth Serum for Non-Bayesians: Correcting Proper Scoring Rules for Risk Attitudes ," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1461-1489.
  4. Machina,Mark & Schmeidler,David, 1991. "A more robust definition of subjective probability," Discussion Paper Serie A 365, University of Bonn, Germany.
  5. Glenn W. Harrison & Jimmy Martínez-Correa & J. Todd Swarthout, 2012. "Inducing Risk Neutral Preferences with Binary Lotteries: A Reconsideration," Experimental Economics Center Working Paper Series 2012-02, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  6. Trautmann, S.T. & Kuilen, G. van de, 2011. "Belief Elicitation: A Horse Race among Truth Serums," Discussion Paper 2011-117, .
  7. Reinhard Selten & Abdolkarim Sadrieh & Klaus Abbink, 1999. "Money Does Not Induce Risk Neutral Behavior, but Binary Lotteries Do even Worse," Theory and Decision, Springer, vol. 46(3), pages 213-252, June.
  8. Berg, Joyce E, et al, 1986. "Controlling Preferences for Lotteries on Units of Experimental Exchange," The Quarterly Journal of Economics, MIT Press, vol. 101(2), pages 281-306, May.
  9. Tanjim Hossain & Ryo Okui, 2013. "The Binarized Scoring Rule," Review of Economic Studies, Oxford University Press, vol. 80(3), pages 984-1001.
  10. McKelvey, Richard D & Page, Talbot, 1990. "Public and Private Information: An Experimental Study of Information Pooling," Econometrica, Econometric Society, vol. 58(6), pages 1321-39, November.
  11. Grether, David M., 1992. "Testing bayes rule and the representativeness heuristic: Some experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 17(1), pages 31-57, January.
  12. repec:bla:restud:v:76:y:2009:i:4:p:1461-1489 is not listed on IDEAS
  13. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-86, May.
  14. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  15. Andersen, Steffen & Fountain, John & Harrison, Glenn W. & Rutström, Elisabet E., 2009. "Estimating Subjective Probabilities," Working Papers 05-2009, Copenhagen Business School, Department of Economics.
  16. Mark J. Machina & David Schmeidler, 1994. "Bayes Without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice," Discussion Papers 1088, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  18. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
  19. Steffen Andersen & John Fountain & Glenn Harrison & E. Rutström, 2014. "Estimating subjective probabilities," Journal of Risk and Uncertainty, Springer, vol. 48(3), pages 207-229, June.
  20. Cox, James C & Oaxaca, Ronald L, 1995. "Inducing Risk-Neutral Preferences: Further Analysis of the Data," Journal of Risk and Uncertainty, Springer, vol. 11(1), pages 65-79, July.
  21. Rutström, E. Elisabet & Wilcox, Nathaniel T., 2009. "Stated beliefs versus inferred beliefs: A methodological inquiry and experimental test," Games and Economic Behavior, Elsevier, vol. 67(2), pages 616-632, November.
  22. Franklin Allen, 1987. "Notes--Discovering Personal Probabilities When Utility Functions are Unknown," Management Science, INFORMS, vol. 33(4), pages 542-544, April.
  23. Edi Karni, 2009. "A Mechanism for Eliciting Probabilities," Econometrica, Econometric Society, vol. 77(2), pages 603-606, 03.
  24. Trautmann, S.T. & van de Kuilen, G., 2011. "Belief Elicitation : A Horse Race among Truth Serums," Discussion Paper 2011-117, Tilburg University, Center for Economic Research.
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