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Rationality on the rise: Why relative risk aversion increases with stake size

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  • Helga Fehr-Duda
  • Adrian Bruhin
  • Thomas Epper
  • Renate Schubert

Abstract

How does risk tolerance vary with stake size? This important question cannot be adequately answered if framing effects, nonlinear probability weighting, and heterogeneity of preference types are neglected. We show that, contrary to gains, no coherent change in relative risk aversion is observed for losses. The increase in relative risk aversion over gains cannot be captured by the curvature of the utility function. It is driven predominantly by a change in probability weighting of a majority group of individuals who exhibit more rational probability weighting at high stakes. These results not only challenge expected utility theory, but also prospect theory.
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  • 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.
  • Handle: RePEc:kap:jrisku:v:40:y:2010:i:2:p:147-180
    DOI: 10.1007/s11166-010-9090-0
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    1. 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.
    2. Walther, Herbert, 2003. "Normal-randomness expected utility, time preference and emotional distortions," Journal of Economic Behavior & Organization, Elsevier, vol. 52(2), pages 253-266, October.
    3. 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.
    4. Thomas B. Astebro & Luís Santos-Pinto & J. Mata, 2009. "Preferences for Skew," Post-Print hal-00654369, HAL.
    5. Camerer, Colin F & Hogarth, Robin M, 1999. "The Effects of Financial Incentives in Experiments: A Review and Capital-Labor-Production Framework," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 7-42, December.
    6. Robin M. Hogarth & Hillel J. Einhorn, 1990. "Venture Theory: A Model of Decision Weights," Management Science, INFORMS, vol. 36(7), pages 780-803, July.
    7. Donja Darai & Dario Sacco & Armin Schmutzler, 2010. "Competition and innovation: an experimental investigation," Experimental Economics, Springer;Economic Science Association, vol. 13(4), pages 439-460, December.
    8. Thierry Post & Martijn J. van den Assem & Guido Baltussen & Richard H. Thaler, 2008. "Deal or No Deal? Decision Making under Risk in a Large-Payoff Game Show," American Economic Review, American Economic Association, vol. 98(1), pages 38-71, March.
    9. 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.
    10. Gilles Celeux & Gilda Soromenho, 1996. "An entropy criterion for assessing the number of clusters in a mixture model," Journal of Classification, Springer;The Classification Society, vol. 13(2), pages 195-212, September.
    11. Stefan Boes & Rainer Winkelmann, 2006. "The Effect of Income on Positive and Negative Subjective Well-Being," SOI - Working Papers 0605, Socioeconomic Institute - University of Zurich.
    12. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151-151.
    13. Charles A. Holt & Susan K. Laury, 2005. "Risk Aversion and Incentive Effects: New Data without Order Effects," American Economic Review, American Economic Association, vol. 95(3), pages 902-912, June.
    14. Ernst Fehr & Jean-Robert Tyran, 2008. "Limited Rationality and Strategic Interaction: The Impact of the Strategic Environment on Nominal Inertia," Econometrica, Econometric Society, vol. 76(2), pages 353-394, March.
    15. Matilde Bombardini & Francesco Trebbi, 2012. "Risk Aversion And Expected Utility Theory: An Experiment With Large And Small Stakes," Journal of the European Economic Association, European Economic Association, vol. 10(6), pages 1348-1399, December.
    16. Russell, Thomas & Thaler, Richard, 1985. "The Relevance of Quasi Rationality in Competitive Markets," American Economic Review, American Economic Association, vol. 75(5), pages 1071-1082, December.
    17. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    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 & Glenn Harrison & Morten Lau & E. Rutström, 2009. "Elicitation using multiple price list formats," Experimental Economics, Springer;Economic Science Association, vol. 12(3), pages 365-366, September.
    20. Thomas Borek & Stefan Buehler & Armin Schmutzler, 2004. "Mergers under Asymmetric Information � Is there a Lemons Problem?," SOI - Working Papers 0408, Socioeconomic Institute - University of Zurich.
    21. Alejandra Cattaneo & Sandra Hanslin & Rainer Winkelmann, 2007. "The Apple Falls Increasingly Far: Parent-Child Correlation in Schooling and the Growth of Post-Secondary Education in Switzerland," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 143(II), pages 133-153, June.
    22. Mahler, Philippe & Winkelmann, Rainer, 2004. "Single Motherhood and (Un)Equal Educational Opportunities: Evidence for Germany," IZA Discussion Papers 1391, Institute of Labor Economics (IZA).
    23. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    24. Gärtner, Dennis L. & Halbheer, Daniel, 2009. "Are there waves in merger activity after all?," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 708-718, November.
    25. Lalive, Rafael & Schmutzler, Armin, 2008. "Exploring the effects of competition for railway markets," International Journal of Industrial Organization, Elsevier, vol. 26(2), pages 443-458, March.
    26. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    27. Markus Koenig & Peter Zweifel, 2004. "Willingness-to-pay Against Dementia: Effects of Altruism Between Patients and Their Spouse Caregivers," SOI - Working Papers 0411, Socioeconomic Institute - University of Zurich.
    28. Gersbach, Hans & Schmutzler, Armin, 2007. "Does Globalization Create Superstars?," CEPR Discussion Papers 6222, C.E.P.R. Discussion Papers.
    29. Michel Wedel, 2002. "Concomitant variables in finite mixture models," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 56(3), pages 362-375, August.
    30. Binswanger, Hans P, 1981. "Attitudes toward Risk: Theoretical Implications of an Experiment in Rural India," Economic Journal, Royal Economic Society, vol. 91(364), pages 867-890, December.
    31. Haltiwanger, John & Waldman, Michael, 1985. "Rational Expectations and the Limits of Rationality: An Analysis of Heterogeneity," American Economic Review, American Economic Association, vol. 75(3), pages 326-340, June.
    32. Gärtner, Dennis L. & Schmutzler, Armin, 2009. "Merger negotiations and ex-post regret," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1636-1664, July.
    33. Hans Gersbach & Armin Schmutzler, 2006. "A Product-Market Theory of Industry-Specific Training," SOI - Working Papers 0610, Socioeconomic Institute - University of Zurich.
    34. Boes, Stefan & Lipp, Markus & Winkelmann, Rainer, 2007. "Money illusion under test," Economics Letters, Elsevier, vol. 94(3), pages 332-337, March.
    35. Samuel Muehlemann & Juerg Schweri & Rainer Winkelmann & Stefan C. Wolter, 2005. "A Structural Model of Demand for Apprentices," SOI - Working Papers 0504, Socioeconomic Institute - University of Zurich.
    36. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
    37. William Grisley & Earl Kellog, 1987. "Risk‐Taking Preferences of Farmers in Northern Thailand: Measurements and Implications," Agricultural Economics, International Association of Agricultural Economists, vol. 1(2), pages 127-142, June.
    38. Kachelmeier, Steven J & Shehata, Mohamed, 1992. "Examining Risk Preferences under High Monetary Incentives: Experimental Evidence from the People's Republic of China," American Economic Review, American Economic Association, vol. 82(5), pages 1120-1141, December.
    39. Yves Schneider & Peter Zweifel, 2005. "Spatial Effects in Willingness-to-Pay: The Case of Two Nuclear Risks," SOI - Working Papers 0502, Socioeconomic Institute - University of Zurich, revised Sep 2007.
    40. Stefan Boes, 2007. "Count Data Models with Unobserved Heterogeneity: An Empirical Likelihood Approach," SOI - Working Papers 0704, Socioeconomic Institute - University of Zurich.
    41. Ernst Fehr & Jean-Robert Tyran, 2005. "Individual Irrationality and Aggregate Outcomes," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 43-66, Fall.
    42. Hans Gersbach & Armin Schmutzler, 2011. "Foreign direct investment and R&D-offshoring," Oxford Economic Papers, Oxford University Press, vol. 63(1), pages 134-157, January.
    43. Daniel Kahneman & Peter P. Wakker & Rakesh Sarin, 1997. "Back to Bentham? Explorations of Experienced Utility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 375-406.
    44. Smith, Vernon L & Walker, James M, 1993. "Monetary Rewards and Decision Cost in Experimental Economics," Economic Inquiry, Western Economic Association International, vol. 31(2), pages 245-261, April.
    45. 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..
    46. Charles Noussair & Ping Wu, 2006. "Risk tolerance in the present and the future: an experimental study," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 27(6), pages 401-412.
    47. Atanu Saha, 1993. "Expo-Power Utility: A ‘Flexible’ Form for Absolute and Relative Risk Aversion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(4), pages 905-913.
    48. 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..
    49. John Haltiwanger & Michael Waldman, 1989. "Limited Rationality and Strategic Complements: The Implications for Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(3), pages 463-483.
    50. Bosch-Domenech, Antoni & Silvestre, Joaquim, 1999. "Does risk aversion or attraction depend on income? An experiment," Economics Letters, Elsevier, vol. 65(3), pages 265-273, December.
    51. Patrick Eugster & Peter Zweifel, 2006. "Correlated Risks: A Conflict of Interest Between Insurers and Consumers and Its Resolution," SOI - Working Papers 0604, Socioeconomic Institute - University of Zurich.
    52. Mette Wik & Tewodros Aragie Kebede & Olvar Bergland & Stein Holden, 2004. "On the measurement of risk aversion from experimental data," Applied Economics, Taylor & Francis Journals, vol. 36(21), pages 2443-2451.
    53. 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.
    54. George Wu, 1999. "Anxiety and Decision Making with Delayed Resolution of Uncertainty," Theory and Decision, Springer, vol. 46(2), pages 159-199, April.
    55. Nathalie Etchart-Vincent, 2004. "Is Probability Weighting Sensitive to the Magnitude of Consequences? An Experimental Investigation on Losses," Journal of Risk and Uncertainty, Springer, vol. 28(3), pages 217-235, May.
    56. Weber, Bethany J. & Chapman, Gretchen B., 2005. "Playing for peanuts: Why is risk seeking more common for low-stakes gambles?," Organizational Behavior and Human Decision Processes, Elsevier, vol. 97(1), pages 31-46, May.
    57. Beattie, Jane & Loomes, Graham, 1997. "The Impact of Incentives upon Risky Choice Experiments," Journal of Risk and Uncertainty, Springer, vol. 14(2), pages 155-168, March.
    58. Kuhberger, Anton & Schulte-Mecklenbeck, Michael & Perner, Josef, 1999. "The Effects of Framing, Reflection, Probability, and Payoff on Risk Preference in Choice Tasks, ," Organizational Behavior and Human Decision Processes, Elsevier, vol. 78(3), pages 204-231, June.
    59. 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.
    60. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    61. Stefan Boes & Rainer Winkelmann, 2004. "Income and Happiness: New Results from Generalized Threshold and Sequential Models," SOI - Working Papers 0407, Socioeconomic Institute - University of Zurich.
    62. Lalive Rafael & Schmutzler Armin, 2008. "Entry in Liberalized Railway Markets: The German Experience," Review of Network Economics, De Gruyter, vol. 7(1), pages 1-16, March.
    63. Wilcox, Nathaniel T, 1993. "Lottery Choice: Incentives, Complexity and Decision Time," Economic Journal, Royal Economic Society, vol. 103(421), pages 1397-1417, November.
    64. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    65. Boris Krey & Peter Zweifel, 2006. "Efficient Electricity Portfolios for Switzerland and the United States," SOI - Working Papers 0602, Socioeconomic Institute - University of Zurich.
    66. Karolin Becker & Peter Zweifel, 2005. "Cost Sharing in Health Insurance: An Instrument for Risk Selection?," SOI - Working Papers 0513, Socioeconomic Institute - University of Zurich.
    67. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 271-282.
    68. Grisley, William & Kellog, Earl, 1987. "Risk-taking preferences of farmers in northern Thailand: Measurements and implications," Agricultural Economics, Blackwell, vol. 1(2), pages 127-142, June.
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    More about this item

    Keywords

    Stake effects; Prospect theory; Expected utility theory; Risk aversion; D81; C91;
    All these keywords.

    JEL classification:

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

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