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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
File Function: First version, 2012
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File URL: http://excen.gsu.edu/workingpapers/GSU_EXCEN_WP_2015-05.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: May 2015
Handle: RePEc:exc:wpaper:2012-16
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  1. Franklin Allen, 1987. "Notes--Discovering Personal Probabilities When Utility Functions are Unknown," Management Science, INFORMS, vol. 33(4), pages 542-544, April.
  2. Steffen Andersen & John Fountain & Glenn W. Harrison & E. Elisabet Rutström, 2010. "Estimating Subjective Probabilities," Experimental Economics Center Working Paper Series 2010-08, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  3. Harrison, Glenn W. & Martínez-Correa, Jimmy & Swarthout, J. Todd, 2013. "Inducing risk neutral preferences with binary lotteries: A reconsideration," Journal of Economic Behavior & Organization, Elsevier, vol. 94(C), pages 145-159.
  4. Machina Mark J. & Schmeidler David, 1995. "Bayes without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice," Journal of Economic Theory, Elsevier, vol. 67(1), pages 106-128, October.
  5. Edi Karni, 2009. "A Mechanism for Eliciting Probabilities," Econometrica, Econometric Society, vol. 77(2), pages 603-606, 03.
  6. 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.
  7. Harrison, Glenn W. & Martínez-Correa, Jimmy & Swarthout, J. Todd, 2015. "Reduction of compound lotteries with objective probabilities: Theory and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 119(C), pages 32-55.
  8. Tanjim Hossain & Ryo Okui, 2013. "The Binarized Scoring Rule," Review of Economic Studies, Oxford University Press, vol. 80(3), pages 984-1001.
  9. 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.
  10. 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.
  11. 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.
  12. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-86, May.
  13. Selten, Reinhard & Abdolkarim Sadrieh & Klaus Abbink, 1995. "Money does Not Induce Risk Neutral Behavior, but Binary Lotteries Do even Worse," Discussion Paper Serie B 343, University of Bonn, Germany.
  14. Cox, James C. & Sadiraj, Vjollca & Schmidt, Ulrich, 2011. "Paradoxes and mechanisms for choice under risk," Kiel Working Papers 1712, Kiel Institute for the World Economy (IfW).
  15. 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.
  16. 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.
  17. 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.
  18. Joyce E. Berg & Lane A. Daley & John W. Dickhaut & John R. O'Brien, 1986. "Controlling Preferences for Lotteries on Units of Experimental Exchange," The Quarterly Journal of Economics, Oxford University Press, vol. 101(2), pages 281-306.
  19. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-80, July.
  20. Glenn Harrison & J. Swarthout, 2014. "Experimental payment protocols and the Bipolar Behaviorist," Theory and Decision, Springer, vol. 77(3), pages 423-438, October.
  21. 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.
  22. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  23. 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.
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