Abstract
The answer to the question of how to elicit risk preferences is vital for predicting individual behaviour and the interpretation of experimental data. In this paper, we first present a current overview of the state of the art in the literature on the methods for eliciting risk preferences and categorise the literature in a systematic manner. Second, we conduct an experiment based on the midpoint chaining method (Krzysztofowicz Organ Behav Hum Perform 31(1):88–113, 1983) and evaluate this parameter-free elicitation method with different numbers of supporting data points in light of three popular parametric utility functions and data generated by an additional choice task in our experiment. We find that, at least for our choice problem with simple lotteries, less onerous methods are sufficient to predict decision behaviour.
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Notes
- 1.
The second part of the experiment was purposefully not designed as a choice between a certainty equivalent and a lottery (Abdellaoui 2000) to prevent a certainty effect.
- 2.
For incentive compatibility, the participants should not know the list of lottery pairs in advance. Otherwise, theoretically, there may be more utility functions besides the true function leading to the optimal choice in each lottery pair. In our experiment, the participants were informed about the lotteries by the instructions, which is not incentive compatible in a strict sense.
References
Abdellaoui M (2000) Parameter-free elicitation of utility and probability weighting functions. Manage Sci 46(11):1497–1512
Abdellaoui M, Bleichrodt H, L’Haridon O (2008) A tractable method to measure utility and loss aversion under prospect theory. J Risk Uncertain 36:245–266. doi:10.1007/s11166-008-9039-8
Abdellaoui M, Driouchi A, L’Haridon O (2011) Risk aversion elicitation: reconciling tractability and bias minimization. Theory 71:63–80. doi:10.1007/s11238-009-9192-9
Afriat SM (1967) The construction of a utility function from expenditure data. Int Econ Rev 8:67–77
Andersen S (2004) Eliciting risk and time preferences using multiple price list formats. Institute of Economics, University of Copenhagen. http://web.econ.ku.dk/qed/PDF/RiskAndTime_andersen.pdf. Accessed 10 Sept 2014
Andreoni J, Harbaugh W (2009) Unexpected utility: experimental tests of five key questions about preferences over risk. Working paper. University of Oregon Economics Department. http://hdl.handle.net/1794/11000. Accessed 10 Sept 2014
Becker GM, DeGroot MH, Marschak J (1964) Measuring utility by a single‐response sequential method. Behav Sci 9(3):226–232
Binswanger HP (1980) Attitudes toward risk: experimental measurement in rural India. Am J Agric Econ 62(3):395–407
Binswanger HP (1981) Attitudes toward risk: theoretical implications of an experiment in rural India. Econ J 91:867–890
Blais AR, Weber EU (2006) A domain-specific risk-taking (DOSPERT) scale for adult populations. Judgm Decis Mak 1(1):33–47
Blavatskyy P (2006) Error propagation in the elicitation of utility and probability weighting functions. Theory Decis 60:315–335. doi:10.1007/s11238-005-4593-x
Bosch-Domènech A, Silvestre J (1999) Does risk aversion or attraction depend on income? An experiment. Working paper. University Pompeu Fabra. http://papers.ssrn.com/sol3/papers.cfm?abstract_id=159229. Accessed 19 Sept 2014
Bosch-Domènech A, Silvestre J (2013) Measuring risk aversion with lists: a new bias. Theory 75:465–496. doi:10.1007/s11238-012-9332-5
Camerer CF, Ho TH (1994) Violations of the betweenness axiom and nonlinearity in probability. J Risk Uncertain 8:167–196
Charness GC, Gneezy U (2010) Portfolio choice and risk attitudes: an experiment. Econ Enq 48(1):133–146. doi:10.1111/j.1465-7295.2009.00219.x
Choi S, Fisman R, Gale DM, Kariv S (2007) Revealing preferences graphically: an old method gets a new tool kit. Am Econ Rev 97(2):153–158
Crosetto P, Filippin A (2013) The “bomb” risk elicitation task. J Risk Uncertain 47:31–65. doi:10.1007/s11166-013-9170-z
Currim IS, Sarin RK (1989) Prospect versus utility. Manage Sci 35(1):22–41
Daniels RL, Keller LR (1990) An experimental evaluation of the descriptive validity of lottery-dependent utility theory. J Risk Uncertain 3:115–134
Dave C, Eckel CC, Johnson CA, Rojas C (2010) Eliciting risk preferences: when is simple better? J Risk Uncertain 41:219–243. doi:10.1007/s11166-010-9103-z
Dohmen T, Falk A, Huffman D, Sunde U, Schupp J, Wagner GG (2009) Individual risk attitudes: measurement, determinants and behavioral consequences. J Eur Econ Assoc 9(3):522–550. doi:10.1111/j.1542-4774.2011.01015.x
Ebert, S, Wiesen D (2014) Joint measurement of risk aversion, prudence, and temperance. J Risk Uncertain 48(3):231–252
Eckel CC, Grossman PJ (2002) Sex differences and statistical stereotyping in attitudes toward financial risk. Evol Hum Behav 23(4):281–295. doi:10.1016/S1090-5138(02)00097-1
Eckel CC, Grossman PJ (2008) Forecasting risk attitudes: an experimental study using actual and forecast gamble choices. J Econ Behav Organ 68(1):1–17. doi:10.1016/j.jebo.2008.04.006
Farquhar PH (1984) Utility assessment methods. Manage Sci 30(11):1283–1300
Fischbacher U (2007) z-Tree: Zurich toolbox for ready-made economic experiments. Exp Econ 10:171–178
Gneezy U, Potters J (1997) An experiment on risk taking and evaluation periods. Q J Econ 112(2):631–645
Harbaugh WT, Krause K, Vesterlund L (2001) Risk attitudes of children and adults: choices over small and large probability gains and losses. Exp Econ 5:53–84
Harbaugh WT, Krause K, Vesterlund L (2010) The fourfold pattern of risk attitudes in choice and pricing tasks. Econ J 120:595–611. doi:10.1111/j.1468-0297.2009.02312.x
Harrison GW (1986) An experimental test for risk aversion. Econ Lett 21(1):7–11. doi:10.1016/0165-1765(86)90111-4
Harrison GW, List JA, Towe C (2007) Naturally occurring preferences and exogenous laboratory experiments: a case study of risk aversion. Econometrica 75(2):433–458. doi:10.1111/j.1468-0262.2006.00753.x
Hershey JC, Schoemaker PJH (1985) Probability versus certainty equivalence methods in utility measurement: are they equivalent? Manage Sci 31(10):1213–1231
Hershey JC, Kunreuther HC, Schoemaker PJH (1982) Sources of bias in assessment procedures for utility functions. Manage Sci 28(8):936–954
Hey JD, Orme C (1994) Investigating generalizations of expected utility theory using experimental data. Econometrica 62(6):1291–1326. doi:10.2307/2951750
Holt C, Laury S (2002) Risk aversion and incentive effects. Am Econ Assoc 92(5):1644–1655
Kachelmeier SJ, Shehata M (1992) Examining risk preferences under high monetary incentives: experimental evidence from the People’s Republic of China. Am Econ Rev 82(5):1120–1141
Kahneman D, Tversky A (1979) Prospect theory: an analysis of decision under risk. Econometrica 47:263–291. doi:10.2307/1914185
Krzysztofowicz R (1983) Strength of preferences and risk attitude in utility measurement. Organ Behav Hum Perform 31(1):88–113. doi:10.1016/0030-5073(83)90114-9
Lejuez, CW, Read JP, Kahler CW, Richards JB, Ramsey SE, Stuart GL, Strong DR, Brown RA (2002) Evaluation of a behavioral measure of risk taking: the balloon analogue risk task (BART). J Exp Psychol Appl 8(2):75–84. doi:10.1037/1076-898X.8.2.75
McCord M, de Neufville R (1986) “Lottery Equivalents”: reduction of the certainty effect problem in utility assessment. Manage Sci 32(1):56–60. doi:10.1287/mnsc.32.1.56
McFadden DL (1976) Quantal choice analaysis: a survey. Ann Econ Soc Meas 5(4):363–390
von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton
Saha, A (1993) Expo-power utility: a ‘Flexible’ form for absolute and relative risk aversion. Am J Agric Econ 75:905–913
Savage LJ (1954) The foundations of statistics. Wiley, New York
Schoemaker PJH (1990) Are risk-attitudes related across domains and response modes? Manage Sci 36(12):1451–1463
Schwand C, Vetschera R, Wakolbinger LM (2010) The influence of probabilities on the response mode bias in utility elicitation. Theory 69:395–416. doi:10.1007/s11238-010-9193-8
Seidl C (2013) The St. Petersburg Paradox at 300. J Risk Uncertain 46:247–264. doi:10.1007/s11166-013-9165-9
Stott HP (2006) Cumulative prospect theory’s functional menagerie. J Risk Uncertainty 32:101–130. doi:10.1007/s11166-006-8289-6
Wakker P, Deneffe D (1996) Eliciting von Neumann-Morgenstern utilities when probabilities are distorted or unknown. Manage Sci 42(8):1131–1150. doi:10.1287/mnsc.42.8.1131
Wagner GG, Joachim RF, Schupp J (2007) The German Socio-Economic Panel Study (SOEP)—evolution, scope and enhancements. SOEP papers on Multidisciplinary Panel Data Research 1:139–169
Weber EU, Blais AR, Betz NE (2002) A domain-specific risk-attitude scale: measuring risk perceptions and risk behaviors. J Behav Decis Mak 15(4):263–290. doi:10.1002/bdm.414
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Appendix
Appendix
The parameter(s) of utility functions (6) to (8) on an aggregate level are reported in Table 6.
The RSS value is very similar across the three parametric forms, with the exponential power utility function naturally possessing the best fit, as it includes both CARA and CRRA as special cases. The power and the power exponential utility functions are presented graphically in Fig. 3. It is apparent that the different parametric forms lead to very similar aggregate utility functions. The two utility functions are hardly distinguishable. In conformity with Ockham’s razor, of models with similar explanatory power, the simpler model should be favoured.
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Köster, C., Schenk-Mathes, H., Wagner, D. (2015). Elicitation of Risk Preferences: Complexity Versus Accuracy. In: Schenk-Mathes, H., Köster, C. (eds) Entscheidungstheorie und –praxis. Springer Gabler, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46611-7_7
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