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Detecting Heterogeneous Risk Attitudes with Mixed Gambles

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  • Astebro , Thomas
  • Santos-Pinto , Luís

Abstract

The authors propose a task for eliciting attitudes towards risk that is close to real world risky decisions which typically involve gains and losses. The task consists of accepting or rejecting gambles that provide a gain with probability p and a loss with probability 1 p. The authors employ finite mixture models to uncover heterogeneity in risk preferences and find that (i) behavior is heterogeneous, with slightly less than one half of the subjects behaving as expected utility maximizers, (ii) for the others, reference-dependent models perform better than those where subjects derive utility from final outcomes, (iii) models with sign dependent decision weights perform better than those without, and (iv) there is no evidence for loss aversion. The procedure is sufficiently simple so that it can be easily used in field or lab experiments where risk elicitation is not the main experiment.

Suggested Citation

  • Astebro , Thomas & Santos-Pinto , Luís, 2014. "Detecting Heterogeneous Risk Attitudes with Mixed Gambles," HEC Research Papers Series 1042, HEC Paris.
  • Handle: RePEc:ebg:heccah:1042
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    1. Lattimore, Pamela K. & Baker, Joanna R. & Witte, Ann D., 1992. "The influence of probability on risky choice: A parametric examination," Journal of Economic Behavior & Organization, Elsevier, vol. 17(3), pages 377-400, May.
    2. Houser, Daniel & Winter, Joachim, 2004. "How Do Behavioral Assumptions Affect Structural Inference? Evidence from a Laboratory Experiment," Journal of Business & Economic Statistics, American Statistical Association, vol. 22(1), pages 64-79, January.
    3. Erik Snowberg & Justin Wolfers, 2010. "Explaining the Favorite-Long Shot Bias: Is it Risk-Love or Misperceptions?," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 723-746, August.
    4. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    5. Anna Conte & John D. Hey & Peter G. Moffatt, 2018. "Mixture models of choice under risk," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 1, pages 3-12, World Scientific Publishing Co. Pte. Ltd..
    6. Armin Falk & James J. Heckman, 2009. "Lab Experiments are a Major Source of Knowledge in the Social Sciences," Working Papers 200935, Geary Institute, University College Dublin.
    7. Ebert, Sebastian & Wiesen, Daniel, 2009. "An experimental methodology testing for prudence and third-order preferences," Bonn Econ Discussion Papers 21/2009, University of Bonn, Bonn Graduate School of Economics (BGSE).
    8. Glenn Harrison & E. Rutström, 2009. "Expected utility theory and prospect theory: one wedding and a decent funeral," Experimental Economics, Springer;Economic Science Association, vol. 12(2), pages 133-158, June.
    9. Daniel Houser & Michael Keane & Kevin McCabe, 2004. "Behavior in a Dynamic Decision Problem: An Analysis of Experimental Evidence Using a Bayesian Type Classification Algorithm," Econometrica, Econometric Society, vol. 72(3), pages 781-822, May.
    10. Adrian Bruhin & Helga Fehr-Duda & Thomas Epper, 2010. "Risk and Rationality: Uncovering Heterogeneity in Probability Distortion," Econometrica, Econometric Society, vol. 78(4), pages 1375-1412, July.
    11. Helga Fehr-Duda & Adrian Bruhin & Thomas Epper & Renate Schubert, 2010. "Rationality on the rise: Why relative risk aversion increases with stake size," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 147-180, April.
    12. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    13. Mohammed Abdellaoui & Han Bleichrodt & Corina Paraschiv, 2007. "Loss Aversion Under Prospect Theory: A Parameter-Free Measurement," Management Science, INFORMS, vol. 53(10), pages 1659-1674, October.
    14. Mohammed Abdellaoui & Han Bleichrodt & Olivier L’Haridon, 2008. "A tractable method to measure utility and loss aversion under prospect theory," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 245-266, June.
    15. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    16. Bruno Jullien & Bernard Salanie, 2000. "Estimating Preferences under Risk: The Case of Racetrack Bettors," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 503-530, June.
    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. Cary Deck & Harris Schlesinger, 2010. "Exploring Higher Order Risk Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(4), pages 1403-1420.
    19. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    20. Eyal Ert & Ido Erev, 2010. "On the Descriptive Value of Loss Aversion in Decisions under Risk," Harvard Business School Working Papers 10-056, Harvard Business School.
    21. Pamela K. Lattimore & Joanna R. Baker & A. Dryden Witte, 1992. "The Influence Of Probability on Risky Choice: A parametric Examination," NBER Technical Working Papers 0081, National Bureau of Economic Research, Inc.
    22. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    23. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2012. "Salience Theory of Choice Under Risk," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1243-1285.
    24. Tobias Broenner & Rene Levinsky & Jianying Qiu, 2007. "A Note on Skewness Seeking: An Experimental Analysis," Jena Economics Research Papers 2007-079, Friedrich-Schiller-University Jena.
    25. Ulrich Schmidt & Horst Zank, 2005. "What is Loss Aversion?," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 157-167, January.
    26. Simon Gächter & Eric J. Johnson & Andreas Herrmann, 2022. "Individual-level loss aversion in riskless and risky choices," Theory and Decision, Springer, vol. 92(3), pages 599-624, April.
    27. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    28. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    29. 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.
    30. Tomomi Tanaka & Colin F. Camerer & Quang Nguyen, 2010. "Risk and Time Preferences: Linking Experimental and Household Survey Data from Vietnam," American Economic Review, American Economic Association, vol. 100(1), pages 557-571, March.
    31. Steven D. Levitt & John A. List, 2007. "What Do Laboratory Experiments Measuring Social Preferences Reveal About the Real World?," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 153-174, Spring.
    32. Schoemaker, Paul J H, 1982. "The Expected Utility Model: Its Variants, Purposes, Evidence and Limitations," Journal of Economic Literature, American Economic Association, vol. 20(2), pages 529-563, June.
    33. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    34. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
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    Cited by:

    1. Iñigo Iturbe-Ormaetxe Kortajarene & Giovanni Ponti & Josefa Tomás Lucas, 2015. "Some (Mis)facts about Myopic Loss Aversion," Working Papers. Serie AD 2015-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Adrian Bruhin & Maha Manai & Luis Santos-Pinto, 2019. "Risk and Rationality:The Relative Importance of Probability Weighting and Choice Set Dependence," Cahiers de Recherches Economiques du Département d'économie 19.01new, Université de Lausanne, Faculté des HEC, Département d’économie.
    3. Bruhin, Adrian & Janizzi, Kelly & Thöni, Christian, 2020. "Uncovering the heterogeneity behind cross-cultural variation in antisocial punishment," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 291-308.
    4. Amedeo Piolatto & Matthew D. Rablen, 2017. "Prospect theory and tax evasion: a reconsideration of the Yitzhaki puzzle," Theory and Decision, Springer, vol. 82(4), pages 543-565, April.
    5. Anna Dodonova, 2022. "Risk Aversion, Managerial Reputation, and Debt–Equity Conflict," Games, MDPI, vol. 13(2), pages 1-10, March.
    6. Adrian Bruhin & Maha Manai & Luís Santos-Pinto, 2022. "Risk and rationality: The relative importance of probability weighting and choice set dependence," Journal of Risk and Uncertainty, Springer, vol. 65(2), pages 139-184, October.
    7. Anat Bracha, 2016. "Investment decisions and negative interest rates," Working Papers 16-23, Federal Reserve Bank of Boston.
    8. Engel, Christoph, 2020. "Estimating heterogeneous reactions to experimental treatments," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 124-147.
    9. Salter, Ammon & Salandra, Rossella & Walker, James, 2017. "Exploring preferences for impact versus publications among UK business and management academics," Research Policy, Elsevier, vol. 46(10), pages 1769-1782.
    10. Iturbe-Ormaetxe, Iñigo & Ponti, Giovanni & Tomás, Josefa, 2019. "Is it myopia or loss aversion? A study on investment game experiments," Economics Letters, Elsevier, vol. 180(C), pages 36-40.

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    More about this item

    Keywords

    Individual risk taking behavior; latent heterogeneity; finite mixture models; reference-dependence; loss aversion;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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