The midweight method to measure attitudes toward risk and ambiguity

Management Science

Volumn 57, Issue 3, 2011, Pages 582-598

  Van De Kuilen, Gijs ^a   Wakker, Peter P ^b  

^a TILBURG UNIVERSITY   (Netherlands)

^b ERASMUS UNIVERSITY ROTTERDAM   (Netherlands)

Author keywords

Ambiguity; Pessimism; Probability weighting; Prospect theory

Indexed keywords

AMBIGUITY; AMBIGUITY ATTITUDE; AMBIGUITY AVERSION; EXISTING METHOD; EXPECTED UTILITY; PARAMETER-FREE METHODS; PESSIMISM; PROBABILITY WEIGHTING; PROSPECT THEORY; RANK-DEPENDENT UTILITY; RISK AND UNCERTAINTY; RISK ATTITUDE; WEIGHTING FUNCTIONS;

SCALES (WEIGHING INSTRUMENTS);

RISKS;

EID: 79952938250     PISSN: 00251909     EISSN: 15265501     Source Type: Journal    
DOI: 10.1287/mnsc.1100.1282     Document Type: Article

References (86)

1. Abdellaoui, M. 2000. Parameter-free elicitation of utility and probability weighting functions. Management Sci. 46 1497-1512.
2. Abdellaoui, M. 2002. A genuine rank-dependent generalization of the von Neumann-Morgenstern expected utility theorem. Econometrica 70 717-736. (Pubitemid 34269066)
3. Abdellaoui, M., B. R. Munier. 1999. How consistent are probability tradeoffs in individual preferences under risk? M. J. Machina, B. R. Munier, eds. Beliefs, Interactions and Preferences in Decision-Making. Kluwer Academic Publishers, Dordrecht, The Netherlands, 285-295.
4. Abdellaoui, M., P. P. Wakker. 2005. The likelihood method for decision under uncertainty. Theory Decision 58 3-76. (Pubitemid 41428170)
5. Abdellaoui, M., F. Vossmann, M. Weber. 2005. Choice-based elicitation and decomposition of decision weights for gains and losses under uncertainty. Management Sci. 51 1384-1399. (Pubitemid 41394244)
6. Abdellaoui, M., H. Bleichrodt, C. Paraschiv. 2007. Loss aversion under prospect theory: A parameter-free measurement. Management Sci. 53 1659-1674. (Pubitemid 351159588)
7. Abdellaoui, M., A. Baillon, L. Placido, P. P. Wakker. 2011. The rich domain of uncertainty: Source functions and their experimental implementation. Amer. Econom. Rev. Forthcoming.
8. Ahn, D. S., S. Choi, D. Gale, S. Kariv. 2009. Estimating ambiguity aversion in a portfolio choice experiment. Working paper, Department of Economics, University of California, Los Angeles, Los Angeles.
9. Allais, M. 1953. Le comportement de l'homme rationnel devant le risque: Critique des postulats et axiomes de l'ecole Américaine. Econometrica 21 503-546.
10. Andersen, S., G. W. Harrison, J. Fountain, E. E. Rutström. 2007. Elicitating beliefs: Theory and experiments. Working paper, Department of Economics, University of Central Florida, Orlando.
11. Armantier, O. 2006. Do wealth differences affect fairness considerations. Internat. Econom. Rev. 47 391-429. (Pubitemid 43543929)
12. Baltussen, G., T. Post, M. J. van den Assem, P. P. Wakker. 2010. Random incentive systems in a dynamic choice experiment. Working paper, Department of Economics, Erasmus University, Rotterdam, The Netherlands.
13. Bardsley, N., P. G. Moffat. 2009. A meta-analysis of the preference reversal phenomenon. In preparation, School of Economics, University of East Anglia, Norwich, UK.
14. Barron, G., I. Erev. 2003. Small feedback-based decisions and their limited correspondence to description-based decisions. J. Behav. Decision Making 16 215-233.
15. Bearden, J. N., T. S. Wallsten, C. R. Fox. 2007. Contrasting stochastic and support theory accounts of subadditivity. J. Math. Psych. 51 229-241.
16. Birnbaum, M. H. 2008. Evaluation of the priority heuristic as a descriptive model of risky decision making: Comment on Brandstätter, Gigerenzer, and Hertwig (2006). Psych. Rev. 115 253-260.
17. Blavatskyy, P. R. 2006. Error propagation in the elicitation of utility and probability weighting functions. Theory Decision 60 315-334.
18. Blavatskyy, P., G. Pogrebna. 2011. Models of stochastic choice and decision theory: Why both are important for analyzing decisions. J. Appl. Econometrics. Forthcoming.
19. Bleichrodt, H. 2001. Probability weighting in choice under risk: An empirical test. J. Risk Uncertainty 23 185-198.
20. Bleichrodt, H., J. L. Pinto. 2000. A parameter-free elicitation of the probability weighting function in medical decision analysis. Management Sci. 46 1485-1496.
21. Bleichrodt, H., A. Cillo, E. Diecidue. 2010. A quantitative measurement of regret theory. Management Sci. 56 161-175.
22. Bostic, R., R. J. Herrnstein, R. D. Luce. 1990. The effect on the preference-reversal phenomenon of using choice indifferences. J. Econom. Behav. Organ. 13 193-212.
23. Curley, S. P., J. F. Yates. 1989. An empirical evaluation of descriptive models of ambiguity reactions in choice situations. J. Math. Psych. 33 397-427.
24. Diecidue, E., P. P. Wakker, M. Zeelenberg. 2007. Eliciting decision weights by adapting de Finetti's betting-odds method to prospect theory. J. Risk Uncertainty 34 179-199.
25. Donkers, A. C. D., B. Melenberg, A. H. O. van Soest. 2001. Estimating risk attitudes using lotteries: A large sample approach. J. Risk Uncertainty 22 165-195.
26. Einhorn, H. J., R. M. Hogarth. 1985. Ambiguity and uncertainty in probabilistic inference. Psych. Rev. 92 433-461.
27. Ellsberg, D. 1961. Risk, ambiguity and the Savage axioms. Quart. J. Econom. 75 643-669.
28. Ellsberg, D. 2001. Risk, Ambiguity and Decision. Garland Publishers, New York. Original Ph.D. dissertation: Ellsberg, D. 1962. Risk, ambiguity and decision. Harvard University, Cambridge, MA.
29. Epstein, L. G., J. Zhang. 2001. Subjective probabilities on subjectively unambiguous events. Econometrica 69 265-306.
30. Fatas, E., T. Neugebauer, P. Tamborero. 2007. How politicians make decisions: A political choice experiment. J. Econom. 92 167-196.
31. Fishburn, P. C., W. Edwards. 1997. Discount-neutral utility models for denumerable time streams. Theory Decision 43 139-166. (Pubitemid 127506062)
32. Fox, C. R., A. Tversky. 1998. A belief-based account of decision under uncertainty. Management Sci. 44 879-895. (Pubitemid 128591682)
33. Fox, C. R., B. A. Rogers, A. Tversky. 1996. Options traders exhibit subadditive decision weights. J. Risk Uncertainty 13 5-17. (Pubitemid 126716701)
34. Ghirardato, P., F. Maccheroni, M. Marinacci, M. Siniscalchi. 2003. A subjective spin on roulette wheels. Econometrica 71 1897-1908.
35. Gilboa, I. 1987. Expected utility with purely subjective non-additive probabilities. J. Math. Econom. 16 65-88.
36. Gilboa, I., D. Schmeidler. 1989. Maxmin expected utility with a nonunique prior. J. Math. Econom. 18 141-153.
37. Goeree, J. K., C. A. Holt, T. R. Palfrey. 2002. Quantal response equilibrium and overbidding in private-value auctions. J. Econom. Theory 104 247-272.
38. Goeree, J. K., C. A. Holt, T. R. Palfrey. 2003. Risk averse behavior in generalized matching pennies games. Games Econom. Behav. 45 97-113. (Pubitemid 37194960)
39. Gonzalez, R., G. Wu. 1999. On the shape of the probability weighting function. Cognitive Psych. 38 129-166.
40. Grabisch, M., I. Kojadinovic, P. Meyer. 2008. A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package. Eur. J. Oper. Res. 186 766-785. (Pubitemid 47615334)
41. Greenspan, A. 2004. Innovations and issues in monetary policy: The last fifteen years. Amer. Econom. Rev., Papers Proc. 94 33-40.
42. Harless, D. W., C. F. Camerer. 1994. The predictive utility of generalized expected utility theories. Econometrica 62 1251-1289.
43. Harrison, G. W. 1986. An experimental test for risk aversion. Econom. Lett. 21 7-11.
44. Harrison, G. W. 2006. Hypothetical bias over uncertain outcomes. J. A. List, ed. Using Experimental Methods in Environmental and Resource Economics. Elgar, Northampton, UK, 41-69.
45. Harrison, G.W., M. I. Lau, E. E. Rutström. 2007. Estimating risk attitudes in Denmark: A field experiment. Scandinavian J. Econom. 109 341-368. (Pubitemid 47343315)
46. Hartinger, A. 1999. Do generalized expected utility theories capture persisting properties of individual decision makers? Acta Psych. 102 21-42.
47. Harvey, C. M. 1986. Value functions for infinite-period planning. Management Sci. 32 1123-1139.
48. Henrich, J., R. Mcelreat. 2002. Are peasants risk-averse decision makers? Current Anthropology 43 172-181. (Pubitemid 44277192)
49. Hey, J. D., C. Orme. 1994. Investigating generalizations of expected utility theory using experimental data. Econometrica 62 1291-1326.
50. Hey, J. D., G. Lotito, A. Maffioletti. 2010. The descriptive and predictive adequacy of theories of decision making under uncertainty/ambiguity. J. Risk Uncertainty 41 81-111.
51. Hogarth, R. M., H. J. Einhorn. 1990. Venture theory: A model of decision weights. Management Sci. 36 780-803.
52. Humphrey, S. J., A. Verschoor. 2004. The probability weighting function: Experimental evidence from Uganda, India and Ethiopia. Econom. Lett. 84 419-425. (Pubitemid 38989963)
53. Jullien, B., B. Salanié. 2000. Estimating preferences under risk: The case of racetrack bettors. J. Political Econom. 108 503-530. (Pubitemid 30605203)
54. Kahn, B. E., R. K. Sarin. 1988. Modeling ambiguity in decisions under uncertainty. J. Consumer Res. 15 265-272.
55. Kahneman, D., A. Tversky. 1979. Prospect theory: An analysis of decision under risk. Econometrica 47 263-291.
56. Keynes, J. M. 1921. A Treatise on Probability. McMillan, London.
57. Kilka, M., M. Weber. 2001. What determines the shape of the probability weighting function under uncertainty? Management Sci. 47 1712-1726. (Pubitemid 34126297)
58. Knight, F. H. 1921. Risk, Uncertainty, and Profit. Houghton Mifflin, New York.
59. Köbberling, V., P. P. Wakker. 2003. Preference foundations for nonexpected utility: A generalized and simplified technique. Math. Oper. Res. 28 395-423.
60. Kühberger, A., M. Schulte-Mecklenbeck, J. Perner. 1999. The effects of framing, reflection, probability, and payoff on risk preference in choice tasks. Organ. Behav. Human Decision Processes 78 204-231.
61. Kunreuther, H. C., M. Pauly. 2003. Neglecting disaster: Why don't people insure against large losses? J. Risk Uncertainty 28 5-21. (Pubitemid 39014988)
62. Li, L.-B., S.-H. He, S. Li, J.-H. Xu, L.-L. Rao. 2009. A closer look at the Russian roulette problem: A re-examination of the nonlinearity of the prospect theory's decision weight π. Internat. J. Approximate Reasoning 50 515-520.
63. Loomes, G. 1991. Evidence of a new violation of the independence axiom. J. Risk Uncertainty 4 92-109.
64. Loomes, G., P. G. Moffat, R. Sugden. 2002. A microeconometric test of alternative stochastic theories of risky choice. J. Risk Uncertainty 24 103-130. (Pubitemid 37131158)
65. Luce, R. D. 1996. When four distinct ways to measure utility are the same. J. Math. Psych. 40 297-317. (Pubitemid 126162588)
66. MacCrimmon, K. R., S. Larsson. 1979. Utility theory: Axioms versus "paradoxes." M. Allais, O. Hagen, eds. Expected Utility Hypotheses and the Allais Paradox. Reidel, Dordrecht, The Netherlands, 333-409.
67. Mangelsdorff, L., M. Weber. 1994. Testing Choquet expected utility. J. Econom. Behav. Organ. 25 437-457.
68. Mosteller, F., P. Nogee. 1951. An experimental measurement of utility. J. Political Econom. 59 371-404.
69. Noussair, C., S. Robbin, B. Ruffieux. 2004. Revealing consumers' willingness-to-pay: A comparison of the BDM mechanism and the Vickrey auction. J. Econom. Psych. 25 725-741. (Pubitemid 40045827)
70. Prelec, D. 1998. The probability weighting function. Econometrica 66 497-527. (Pubitemid 128469073)
71. Qiu, J., E.-M. Steiger. 2011. Understanding the two components of risk attitudes: An experimental analysis. Management Sci. 57 193-199.
72. Quiggin, J. 1981. Risk perception and risk aversion among Australian farmers. Australian J. Agricultural Econom. 25 160-169.
73. Rabin, M. 2000. Risk aversion and expected-utility theory: A calibration theorem. Econometrica 68 1281-1292.
74. Savage, L. J. 1954. The Foundations of Statistics. Wiley, New York.
75. Schmeidler, D. 1989. Subjective probability and expected utility without additivity. Econometrica 57 571-587.
76. Stott, H. P. 2006. Cumulative prospect theory's functional menagerie. J. Risk Uncertainty 32 101-130. (Pubitemid 43742157)
77. Tversky, A., C. R. Fox. 1995. Weighing risk and uncertainty. Psych. Rev. 102 269-283.
78. Tversky, A., D. Kahneman. 1992 Advances in prospect theory: Cumulative representation of uncertainty. J. Risk Uncertainty 5 297-323.
79. Vind, K. 1991. Independent preferences. J. Math. Econom. 20 119-135.
80. Vind, K. 2003. Independence, Additivity, Uncertainty. With contributions by B. Grodal. Springer, Berlin.
81. Wakker, P. P. 2008. Uncertainty. L. Blume, S. N. Durlauf, eds. The New Palgrave: A Dictionary of Economics. MacMillan Press, London, 6780-6791.
82. Wakker, P. P. 2010. Prospect Theory for Risk and Ambiguity. Cambridge University Press, Cambridge, UK.
83. Wakker, P. P., D. Deneffe. 1996. Eliciting von Neumann-Morgenstern utilities when probabilities are distorted or unknown. Management Sci. 42 1131-1150. (Pubitemid 126549509)
84. Weber, E. U. 1994. From subjective probabilities to decision weights: The effects of asymmetric loss functions on the evaluation of uncertain outcomes and events. Psych. Bull. 115 228-242. (Pubitemid 24976745)
85. Wu, G., R. Gonzalez. 1999. Nonlinear decision weights in choice under uncertainty. Management Sci. 45 74-85.
86. Wu, G., J. Zhang, M. Abdellaoui. 2005. Testing prospect theories using probability tradeoff consistency. J. Risk Uncertainty 30 107-131. (Pubitemid 40579636)