The stochastic component in choice and regression to the mean

Theory and Decision

Volumn 71, Issue 2, 2011, Pages 251-267

  García Gallego, Aurora ^a,b   Georgantzís, Nikolaos ^a   Navarro Martínez, Daniel ^c   Sabater Grande, Gerardo ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b UNIVERSITAT JAUME I   (Spain)

^c UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Choice under risk; Multiple lottery choices; Regression to the mean; Stochastic component in choice

Indexed keywords

CHOICE UNDER RISK; INDIVIDUAL CHOICE; MULTIPLE-LOTTERY CHOICES; REGRESSION TO THE MEAN; STOCHASTIC COMPONENT;

REGRESSION ANALYSIS;

STOCHASTIC SYSTEMS;

EID: 80052473386     PISSN: 00405833     EISSN: 15737187     Source Type: Journal    
DOI: 10.1007/s11238-010-9223-6     Document Type: Article

References (42)

1. Ballinger, T. P.,Wilcox, N. (1997). Decisions, error and heterogeneity. Economic Journal, 107, 1090-1105. (Pubitemid 127575104)
2. Barnett, A. G., van der Pols, J. C., & Dobson, A. J. (2005). Regression to the mean: What it is and how to deal with it. International Journal of Epidemiology, 34, 215-220. (Pubitemid 40347398)
3. Becker, G. M., DeGroot, M. H., & Marschak, J. (1963). Stochastic models of choice behavior. Behavioral Science, 8, 41-55.
4. Blavatskyy, P. R. (2006). Violations of betweenness or random errors?. Economics Letters, 91, 34-38. (Pubitemid 43548966)
5. Blavatskyy, P. R. (2007). Stochastic expected utility theory. Journal of Risk and Uncertainty, 34, 259-286.
6. Block, H. D., & Marschak, J., et al. (1960). Random orderings and stochastic theories of response. In I. Olkin (Ed.), Contributions to probability and statistics (pp. 97-132). Stanford: Stanford University Press.
7. Butler, D. J. (2000). Do non-expected utility choice patterns spring from hazy preferences? An experimental study of choice 'errors'. Journal of Economic Behavior and Organization, 41, 277-297.
8. Butler, D., & Loomes, G. (2007). Imprecision as an account of the preference reversal phenomenon. American Economic Review, 97, 277-297.
9. Brañas-Garza, P., Georgantzís, N., & Guillén, P. (2007). Direct and indirect effects of pathological gambling on risk attitudes. Judgment and Decision Making, 2, 126-136.
10. Brañas-Garza, P., Guillén, P., & López del Paso, R. (2008). Math skills and risk attitudes. Economics Letters, 99, 332-336.
11. Camacho-Cuena, E., Garcia-Gallego, A., Georgantzis, N., & Sabater-Grande, G. (2003). An experimental test of response consistency in contingent valuation. Ecological Economics, 47, 167-182. (Pubitemid 37519110)
12. Camacho-Cuena, E., Garcia-Gallego, A., Georgantzis, N., & Sabater-Grande, G. (2004). An experimental validation of hypothetical WTP for a recyclable product. Environmental and Resource Economics, 27, 313-335. (Pubitemid 38390916)
13. Camerer, C. F. (1989). An experimental test of several generalized utility theories. Journal of Risk and Uncertainty, 2, 61-104.
14. Camerer, C. F. (1995). Individual decision making. In A. E. Roth & J. H. Kagel (Eds.), The handbook of experimental economics (pp. 587-703). Princeton: Princeton University Press.
15. Chesher, A. (1997). Non-Normal variation and regression to the mean. Statistical Methods in Medical Research, 6, 147-166. (Pubitemid 127570361)
16. Cubitt, R. P., Starmer, C., & Sugden, R. (1998). On the validity of the random lottery incentive system. Experimental Economics, 1, 115-131.
17. Fama, E. F., & French, K. R. (2000). Forecasting profitability and earnings. The Journal of Business, 73, 161-175.
18. Friedman, M. (1992). Do old fallacies ever die?. Journal of Economic Literature, 30, 2129-2132.
19. Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute, 15, 246-263.
20. Harless, D. W., & Camerer, C. F. (1994). The predictive utility of generalized expected utility theories. Econometrica, 62, 1251-1289.
21. Hey, J. D., & Orme, C. (1994). Investigating generalizations of expected utility theory using experimental data. Econometrica, 62, 1291-1326.
22. Holt, C. A. (1986). Preference reversals and the independence axiom. American Economic Review, 76, 508-515.
23. Hotelling, H. (1933). Review of the triumph of mediocrity in business, by Horace Secrist. Journal of the American Statistical Association, 28, 463-465.
24. Kahneman, D. (2003). Autobiography. In T. Frängsmyr (Ed.), Les Prix Nobel. The Nobel Prizes 2002. Stockholm: Nobel Foundation.
25. Lin, H., & Hughes, M. (1997). Adjusting for regression toward the mean when variables are normally distributed. Statistical Methods in Medical Research, 6, 129-146. (Pubitemid 127570360)
26. Loomes, G. (2005). Modelling the stochastic component of behaviour in experiments: Some issues for the interpretation of data. Experimental Economics, 8, 301-323. (Pubitemid 41817826)
27. Loomes, G., Moffatt, P., & Sugden, R. (2002). A microeconometric test of alternative stochastic theories of risky choice. Journal of Risk and Uncertainty, 24, 103-130. (Pubitemid 37131158)
28. Loomes, G., & Sugden, R. (1995). Incorporating a stochastic element into decision theories. European Economic Review, 39, 641-673.
29. Loomes, G., & Sugden, R. (1998). Testing different stochastic specifications of risky choice. Economica, 65, 581-598. (Pubitemid 29081447)
30. Luce, R. D. (1958). A probabilistic theory of utility. Econometrica, 26, 193-224.
31. Luce, R. D. (1959). Individual choice behavior. New York: Wiley.
32. Müller, H. G., Abramson, I., & Azari, R. (2003). Nonparametric regression to the mean. Proceedings of the National Academy of Sciences of the United States of America, 100, 9715-9720. (Pubitemid 37087007)
33. Quandt, R. E. (1956). A probabilistic theory of consumer behavior. Quarterly Journal of Economics, 70, 507-536.
34. Sabater-Grande, G., & Georgantzís, N. (2002). Accounting for risk aversion in repeated prisoners' dilemma games: An experimental test. Journal of Economic Behavior and Organization, 48, 37-50.
35. Schmidt, U., & Hey, J. D. (2004). Are preference reversals errors? An experimental investigation. Journal of Risk and Uncertainty, 29, 207-218. (Pubitemid 41201380)
36. Schmidt, U., & Neugebauer, T. (2007). Testing expected utility in the presence of errors. Economic Journal, 517, 470-485. (Pubitemid 46563528)
37. Schläpfer, F., Roschewitz, A., & Hanley, N. (2004). Validation of stated preferences for public goods: a comparison of contingent valuation survey response and voting behaviour. Ecological Economics, 51, 1-16. (Pubitemid 39622799)
38. 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.
39. Starmer, C., & Sugden, R. (1989). Violations of the independence axiom in common ratio problems: An experimental test of some competing hypotheses. Annals of Operations Research, 19, 79-102.
40. Starmer, C., & Sugden, R. (1991). Does the random-lottery incentive system elicit true preferences? An experimental investigation. American Economic Review, 81, 971-978.
41. Stigler, S. M. (1997). Regression towards the mean, historically considered. Statistical Methods in Medical Research, 6, 103-114. (Pubitemid 127570358)
42. Yudkin, P. L., & Stratton, I. M. (1996). How to deal with regression to the mean in intervention studies. Lancet, 347, 241-243. (Pubitemid 26035252)