Skewness seeking: risk loving, optimism or overweighting of small probabilities?
- 703 Downloads
- 9 Citations
Abstract
In a controlled laboratory experiment we use one sample of college students and one of mature executives to investigate how positive skew influences risky choices. In reduced-form regressions we find that both students and executives make riskier choices when lotteries display positive skew. We estimate decision models to explore three explanations for skew seeking choices: risk-loving (convex utility), optimism (concave probability weighting) and likelihood insensitivity (inverse s-shape probability weighting). We find no role for love for risk as neither students nor executives have convex utility. Both optimism and likelihood insensitivity play a part in skew seeking choices. Likelihood insensitivity is larger for students than for executives. Executives have more concave utility and are more optimistic than students, but this is found to be largely due to them being older.
Keywords
Decision making under risk Skew Laboratory experimentJEL Classification
D81 C91Notes
Acknowledgments
We thank Mohammed Abdellaoui, Vince Crawford, Florian Ederer, Ernst Fehr, Xavier Gabaix, Itzhak Gilboa, Glenn Harrison, Botond Koszegi and Joel Sobel for helpful comments. We also thank seminar participants at HEC Paris, Lisbon Technical University, Ludwig-Maximilian University, Nova University Lisbon, Portuguese Catholic University, University of Nottingham, University of Lausanne, University of Zurich, the National Bureau of Economic Research Entrepreneurship Working Group Meeting, the 36th EARIE Conference and the Royal Economic Society Conference in Surrey. Gordon Adomdza, Won Kno and Anisa Shyti provided research assistance. Support from HEC Foundation, Nova Forum and Fundação para a Ciência e Tecnologia is gratefully acknowledged.
Supplementary material
References
- Abdellaoui, M., Driouchi, A., & L’Haridon, O. (2011). Risk aversion elicitation: Reconciling tractability and bias minimization. Theory and Decision, 71(1), 63–80.CrossRefGoogle Scholar
- Åstebro, T. (2003). The return to independent invention: Evidence of risk seeking, extreme optimism or skewness-loving? The Economic Journal, 113, 226–239.CrossRefGoogle Scholar
- Benz, M., & Frey, B. S. (2008). The value of doing what you like: Evidence from the self-employed in 23 countries. Journal of Economic Behavior & Organization, 68(3), 445–455.CrossRefGoogle Scholar
- Blume, M., & Friend, I. (1975). The asset structure of individual portfolios and some implications for utility functions. Journal of Finance, 30, 585–603.CrossRefGoogle Scholar
- Brünner, T., Levinsky, R., & Qiu, J. (2011). Preferences for skewness: Evidence from a binary choice experiment. European Journal of Finance, 17(7), 525–538.CrossRefGoogle Scholar
- Burke, C., & Tobler, P. (2011). Reward skewness coding in the insula independent of probability and loss. Journal of Neurophysiology, 106, 2415–2422.CrossRefGoogle Scholar
- Cabral, L., & Mata, J. (2003). On the evolution of the firm size distribution: Facts and theory. American Economic Review, 93(4), 1075–1090.CrossRefGoogle Scholar
- Caplin, A., & Leahy, J. (2001). Psychological expected utility theory and anticipatory feelings. Quarterly Journal of Economics, 116(1), 55–80.CrossRefGoogle Scholar
- Chiu, H. (2005). Skewness preference, risk aversion and the precedence relations on stochastic changes. Management Science, 51, 1816–1828.CrossRefGoogle Scholar
- Chiu, H. (2010). Skew preference, risk taking and expected utility maximization. The Geneva Risk and Insurance Review, 1–22.Google Scholar
- Cohen, M., Jaffray, J.-Y., & Said, T. (1987). Experimental comparisons of individual behavior under risk and under uncertainty for gains and for losses. Organizational Behavior and Human Decision Processes, 39, 1–22.CrossRefGoogle Scholar
- Conlisk, J. (1993). The utility of gambling. Journal of Risk and Uncertainty, 5, 255–275.CrossRefGoogle Scholar
- Deck, C., & Schlesinger, H. (2010). Exploring higher-order risk effects. Review of Economic Studies, 77(4), 1403–1420.CrossRefGoogle Scholar
- Ebert, S., & Wiesen, D. (2011). Testing for prudence and skewness seeking. Management Science, 57(7), 1334–1349.CrossRefGoogle Scholar
- Ebert, S. (2013). Moment characterization of higher-order risk preferences. Theory and Decision, 74, 267–284.CrossRefGoogle Scholar
- Fehr-Duda, H., Bruhin, A., Epper, T., & Schubert, R. (2010). Rationality on the rise: Why relative risk aversion increases with stake size. Journal of Risk and Uncertainty, 40, 147–180.CrossRefGoogle Scholar
- Forrest, D., Simmons, R., & Chesters, N. (2002). Buying a dream: Alternative models of the demand for lotto. Economic Inquiry, 40, 485–496.CrossRefGoogle Scholar
- Garrett, T., & Sobel, R. (1999). Gamblers favor skewness not risk: Further evidence from United States lottery games. Economics Letters, 63(1), 85–90.CrossRefGoogle Scholar
- Goldstein, W., & Einhorn, H. (1987). Expression theory and the preference reversal phenomena. Psychological Review, 94, 236–254.CrossRefGoogle Scholar
- Golec, J., & Tamarkin, M. (1998). Betters love skewness, not risk, at the horse track. Journal of Political Economy, 106, 205–225.CrossRefGoogle Scholar
- Hamilton, B. (2000). Does entrepreneurship pay? An empirical analysis of the returns to self-employment. Journal of Political Economy, 108, 604–631.CrossRefGoogle Scholar
- Harrison, G., & Rutström, E. (2008). Risk aversion in the laboratory. Research in Experimental Economics, 12, 41–196.CrossRefGoogle Scholar
- Holt, C., & Laury, S. (2002). Risk aversion and incentive effects. American Economic Review, 92(5), 1644–1655.CrossRefGoogle Scholar
- Holt, C., & Laury, S. (2005). Risk aversion and incentive effects: New data without order effects. American Economic Review, 95(3), 902–904.CrossRefGoogle Scholar
- Hwang, M., & Wu, B. (1990). The effectiveness of computer graphics for decision support: Meta-analytical integration of research findings. ACM SIGMIS Database, 21(2–3), 11–20.Google Scholar
- Jacobsen, B., Lee, J., Marquering, W. & Wang, C. (2010). Are women more risk averse or men more optimistic? Working Paper, Massey University.Google Scholar
- Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decisions under risk. Econometrica, 47, 313–327.CrossRefGoogle Scholar
- Kraus, A., & Litzenberger, R. (1976). Skewness preference and the valuation of risk assets. Journal of Finance, 31, 1085–1100.Google Scholar
- Laury, S. (2005). One or pay all: Random selection of one choice for payment. Department of Economics, Andrew Young School of Policy Studies, Georgia State University, Research Paper Series, Working Paper 06–13.Google Scholar
- Larrick, R. P. (2004). Debiasing. In D. J. Koehler & N. Harvey (Eds.), Handbook of judgment and decision making (pp. 316–334). Oxford: Blackwell.CrossRefGoogle Scholar
- Luce, R. D. (1959). Individual choice behavior. New York: Wiley.Google Scholar
- Mao, J. (1970). Survey of capital budgeting: Theory and practice. Journal of Finance, 25, 349–369.CrossRefGoogle Scholar
- Meyer, J., Shamo, M. K., & Gopher, D. (1999). Information structure and the relative efficacy of tables and graphs. Human Factors, 41(4), 570–587.CrossRefGoogle Scholar
- Menezes, C., Geiss, C., & Tressler, J. (1980). Increasing downside risk. American Economic Review, 70(5), 921–932.Google Scholar
- Morin, R. A., & Fernandez Suarez, A. (1983). Risk aversion revisited. The Journal of Finance, 38(4), 1201–1216.CrossRefGoogle Scholar
- Prelec, D. (1998). The probability weighting function. Econometrica, 60, 497–528.CrossRefGoogle Scholar
- Pålsson, A. M. (1996). Does the degree of relative risk aversion vary with household characteristics? Journal of Economic Psychology, 17(6), 771–787.CrossRefGoogle Scholar
- Parker, S. (2004). The economics of self-employment and entrepreneurship. New York: Cambridge University Press.CrossRefGoogle Scholar
- Puri, M., & Robinson, D. (2007). Optimism and economic choice. Journal of Financial Economics, 86(1), 71–99.CrossRefGoogle Scholar
- Quiggin, J. (1982). A theory of anticipated utility. Journal of Economic Behavior and Organization, 3, 323–343.CrossRefGoogle Scholar
- Schaubroeck, J., & Muralidhar, K. (1991). A meta-analysis of the relative effects of tabular and graphic display formats on decision-making performance. Human Performance, 4, 127–145.Google Scholar
- Scheier, M. F., Carver, C. S., & Bridges, M. W. (1994). Distinguishing optimism from neuroticism (and trait anxiety, self-mastery, and self-esteem): A reevaluation of the life orientation test. Journal of Personality and Social Psychology, 67(6), 1063–1078.CrossRefGoogle Scholar
- Scheier, M. F., Carver, C. S., & Bridges, M. W. (2001). Optimism, pessimism, and psychological well-being. In E. C. Chang (Ed.), Optimism and pessimism: Implications for theory, research, and practice (pp. 189–216). Washington, DC: American Psychological Association.CrossRefGoogle Scholar
- Schmeidler, D. (1989). Subjective probability and expected utility without additivity. Econometrica, 57, 571–587.CrossRefGoogle Scholar
- Seidl, C., & Traub, S. (1999). Biases in the assessment of von Neumann–Morgenstern utility functions. Journal of Economics, Suppl 8, 203–239.Google Scholar
- Speier, C. (2006). The influence of information presentation formats on complex task decision-making performance. International Journal of Human–Computer Studies, 64(11), 1115–1131.CrossRefGoogle Scholar
- Starmer, C. (2000). Developments in non-expected utility theory: The hunt for a descriptive theory of choice under risk. Journal of Economic Literature, 38, 332–382.CrossRefGoogle Scholar
- Tversky, A., & Kahneman, D. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323.CrossRefGoogle Scholar
- van Zwet, W. R. (1964). Convex transformations of random variables, mathematical centre tracts 7. Amsterdam: Mathematisch Centrum.Google Scholar
- Wakker, P. (2010). Prospect theory for risk and uncertainty. New York: Cambridge University Press.CrossRefGoogle Scholar
- Wu, B., & Knott, A. M. (2006). Entrepreneurial risk and market entry. Management Science, 52(9), 1315–1330.CrossRefGoogle Scholar
- Wu, C., Bossaerts, P., & Knutson, B. (2011). The affective impact of financial skewness on neural activity and choice. Plos One, 6(2), 1–7.Google Scholar