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Dominated choices in a simple game with large stakes

Published online by Cambridge University Press:  14 March 2025

Egil Matsen*
Affiliation:
Department of Economics, Norwegian University of Science and Technology, 7491 Trondheim, Norway
Bjarne Strøm*
Affiliation:
Department of Economics, Norwegian University of Science and Technology, 7491 Trondheim, Norway

Abstract

This paper examines data from the Norwegian television game show Joker, where contestants make well-specified choices under risk. The game involves very large stakes, randomly drawn contestants, and ample opportunities for learning. Central models of risk choice, including expected utility theory, give a simple prediction of choice under weak conditions, as one decision is always first-order stochastically dominating. We document frequent, systematic and costly violations of dominance. Many contestants appear to have a systematic expectation bias that can be related to Tversky and Kahneman's (Cogn. Psychol. 5(2):207-232, 1973) “availability heuristic”. In addition, contestants seem to make systematic calculation errors that are well captured by the so-called Fechner model.

Type
Research Article
Copyright
Copyright © Economic Science Association 2009

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Footnotes

We thank two anonymous referees, Jordi Brandts (the editor), Kjell Arne Brekke, Glenn Harrison, Ganna Pogrebna, and conference participants at Behavioral and Experimental Economics meetings in Lyon and in Oslo for very useful comments and suggestions. We thank Norsk Tipping and the Norwegian Gaming and Foundation Authority for providing data, especially Terje Helgesen and Kaare Sveen for answering our countless detailed questions.

References

Becker, G., DeGroot, M., & Marschak, J. (1963). Stochastic models of choice behavior. Behavioral Science, 8, 4155.CrossRefGoogle Scholar
Camerer, C. F. (1995). Individual decision making. In Kagel, J. & Roth, A. (Eds.), Handbook of experimental economics (pp. 587703). Princeton: Princeton University Press.CrossRefGoogle Scholar
Chew, S. H. (1989). Axiomatic utility theories with the betweenness property. Annals of Operational Research, 19, 273298.CrossRefGoogle Scholar
Croson, R., & Sundali, J. (2005). The gambler's fallacy and the hot hand: Empirical data from casinos. Journal of Risk and Uncertainty, 30(3), 195209.CrossRefGoogle Scholar
Epstein, R. A. (2006). Second-order rationality. In McCaffery, E. J. & Slemrod, J. (Eds.), Behavioral public finance (pp. 355389). New York: Russell Sage Foundation.Google Scholar
Fechner, G. (1860/1966). Elements of psychophysics. New York: Holt, Rinehart & Winston.Google Scholar
Gertner, R. (1993). Game shows and economic behavior: Risk taking on Card Sharks. Quarterly Journal of Economics, 108(2), 507521.CrossRefGoogle Scholar
Gul, F. (1991). A theory of disappointment in decision making under uncertainty. Econometrica, 59(3), 667686.CrossRefGoogle Scholar
Harrison, G. W., & List, J. A. (2004). Field experiments. Journal of Economic Literature, 42(4), 10091055.CrossRefGoogle Scholar
Hey, J., & Orme, C. (1994). Investigating, generalizations of expected utility theory using experimental data. Econometrica, 62(6), 12911326.CrossRefGoogle Scholar
Kahneman, D., & Tversky, A. (1979). Prospect theory: an analysis of decision under risk. Econometrica, 47(2), 263291.CrossRefGoogle Scholar
Kahneman, D., Slovic, P., & Tversky, A. (1982). Judgement under uncertainty: heuristics and biases. New York: Cambridge University Press.CrossRefGoogle Scholar
Levitt, S. D., & List, J. A. (2006). What do laboratory experiments tell us about the real world? (Mimeo). University of Chicago.Google Scholar
List, J. A. (2006). Friend or Foe? A natural experiment of the prisoner's dilemma. Review of Economics and Statistics, 88(3), 463471.CrossRefGoogle Scholar
Loomes, G., & Sugden, R. (1982). Regret theory: an alternative theory of rational choice under uncertainty. Economic Journal, 92, 805824.CrossRefGoogle Scholar
Loomes, G., Moffatt, P. G., & Sugden, R. (2002). A microeconometric test of alternative stochastic theories of risky choice. Journal of Risk and Uncertainty, 24(2), 103130.CrossRefGoogle Scholar
Quiggin, J. (1982). A theory of anticipated utility. Journal of Economic Behavior and Organization, 3(4), 323343.CrossRefGoogle Scholar
Rabin, M. (1998). Psychology and economics. Journal of Economic Literature, 36(1), 746.Google Scholar
Rabin, M. (2002). Inference by believers in the law of small numbers. Quarterly Journal of Economics, 117(3), 775816.CrossRefGoogle Scholar
Rabin, M., & Vayanos, D. (2007, forthcoming). The gambler's and hot-hand fallacies: theory and applications. Review of Economic Studies.Google Scholar
Rabin, M., & Weizsäcker, G. (2009). Narrow bracketing and dominated choices. American Economic Review, 99(4), 15081543.CrossRefGoogle Scholar
Smith, V. L. (1985). Experimental economics: reply. American Economic Review, 75(1), 265272.Google 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(2), 332382.CrossRefGoogle Scholar
Tenorio, R., & Cason, T. N. (2002). To spin or not to spin? Natural and laboratory experiments from The Price is Right. Economic Journal, 112(476), 170195.CrossRefGoogle Scholar
Tversky, A., & Kahneman, D. (1971). Belief in the law of small numbers. Psychological Bulletin, 76(2), 105110.CrossRefGoogle Scholar
Tversky, A., & Kahneman, D. (1973). Availability: a heuristic for judging frequency and probability. Cognitive Psychology, 5(2), 207232.CrossRefGoogle Scholar
Tversky, A., & Kahneman, D. (1992). Advances in prospect theory: cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5(4), 297323.CrossRefGoogle Scholar