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Risky Choice and Type-Uncertainty in "Deal or No Deal?"

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  • Gee, C.

Abstract

This paper uses data from the popular television game-show, "Deal or No Deal?", to analyse the way individuals make choices under risk. In a unique approach to the problem, I present a formal game-theoretical model of the show in which both the contestant and the banker are modelled as strategic players. I use standard techniques to form hypotheses of how rational expected utility-maximisers would behave as players in the game and I test these hypotheses with the relevant choice data. The main result is that an increasing o¤er function is the result of optimal behaviour when the banker is uncertain about the contestant.s risk attitudes. This result provides a theoretical foundation to the empirical model of the banker that pervades the literature. Estimates of the coefficient of relative risk aversion are consistent with estimates from other studies and estimates of the discernment parameter suggest contestants have difficulty making choices.

Suggested Citation

  • Gee, C., 2007. "Risky Choice and Type-Uncertainty in "Deal or No Deal?"," Cambridge Working Papers in Economics 0758, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:0758
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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Robert Gertner, 1993. "Game Shows and Economic Behavior: Risk-Taking on "Card Sharks"," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 507-521.
    3. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    4. Robert B. Barsky & Miles S. Kimball & F. Thomas Juster & Matthew D. Shapiro, 1995. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey," NBER Working Papers 5213, National Bureau of Economic Research, Inc.
    5. Doron Kliger & Ori Levy, 2002. "Risk Preferences Heterogeneity: Evidence from Asset Markets," Review of Finance, European Finance Association, vol. 6(3), pages 277-290.
    6. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
    7. Blake, David, 1996. "Efficiency, Risk Aversion and Portfolio Insurance: An Analysis of Financial Asset Portfolios Held by Investors in the United Kingdom," Economic Journal, Royal Economic Society, vol. 106(438), pages 1175-1192, September.
    8. Beetsma, Roel M W J & Schotman, Peter C, 2001. "Measuring Risk Attitudes in a Natural Experiment: Data from the Television Game Show Lingo," Economic Journal, Royal Economic Society, vol. 111(474), pages 821-848, October.
    9. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    10. Thierry Post & Martijn J. van den Assem & Guido Baltussen & Richard H. Thaler, 2008. "Deal or No Deal? Decision Making under Risk in a Large-Payoff Game Show," American Economic Review, American Economic Association, vol. 98(1), pages 38-71, March.
    11. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    12. Bennett, Randall W. & Hickman, Kent A., 1993. "Rationality and the 'price is right'," Journal of Economic Behavior & Organization, Elsevier, vol. 21(1), pages 99-105, May.
    13. Raj Chetty, 2006. "A New Method of Estimating Risk Aversion," American Economic Review, American Economic Association, vol. 96(5), pages 1821-1834, December.
    14. Berk, Jonathan B & Hughson, Eric & Vandezande, Kirk, 1996. "The Price Is Right, but Are the Bids? An Investigation of Rational Decision Theory," American Economic Review, American Economic Association, vol. 86(4), pages 954-970, September.
    15. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    16. Nicolas de Roos & Yianis Sarafidis, 2010. "Decision making under risk in Deal or No Deal," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(6), pages 987-1027.
    17. Jianakoplos, Nancy Ammon & Bernasek, Alexandra, 1998. "Are Women More Risk Averse?," Economic Inquiry, Western Economic Association International, vol. 36(4), pages 620-630, October.
    18. Pavlo Blavatskyy & Ganna Pogrebna, 2006. "Loss Aversion? Not with Half-a-Million on the Table!," IEW - Working Papers 274, Institute for Empirical Research in Economics - University of Zurich.
    19. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56(4), pages 279-279.
    20. Szpiro, George G, 1986. "Measuring Risk Aversion: An Alternative Approach," The Review of Economics and Statistics, MIT Press, vol. 68(1), pages 156-159, February.
    21. Metrick, Andrew, 1995. "A Natural Experiment in "Jeopardy!"," American Economic Review, American Economic Association, vol. 85(1), pages 240-253, March.
    22. Cicchetti, Charles J & Dubin, Jeffrey A, 1994. "A Microeconometric Analysis of Risk Aversion and the Decision to Self-Insure," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 169-186, February.
    23. Pavlo Blavatskyy & Ganna Pogrebna, 2006. "Risk Aversion When Gains Are Likely and Unlikely: Evidence from a Natural Experiment with Large Stakes," IEW - Working Papers 278, Institute for Empirical Research in Economics - University of Zurich.
    24. Rafael Tenorio & Timothy N. Cason, 2002. "To Spin or Not to Spin? Natural and Laboratory Experiments from "The Price is Right"," Economic Journal, Royal Economic Society, vol. 112(476), pages 170-195, January.
    25. Connel Fullenkamp & Rafael Tenorio & Robert Battalio, 2003. "Assessing Individual Risk Attitudes Using Field Data From Lottery Games," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 218-226, February.
    26. Read, Daniel & Loewenstein, George & Rabin, Matthew, 1999. "Choice Bracketing," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 171-197, December.
    27. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 271-282.
    28. Thierry Post & Guido Baltussen & Martijn van den Assem, 2006. "Deal or No Deal? Decision-making under Risk in a Large-payoff Game Show," Tinbergen Institute Discussion Papers 06-009/2, Tinbergen Institute, revised 02 Feb 2006.
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    Cited by:

    1. Keldenich, Klemens & Klemm, Marcus, 2011. "Double or Nothing!? Small Groups Making Decisions Under Risk in ""Quiz Taxi""," Ruhr Economic Papers 278, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    2. repec:zbw:rwirep:0278 is not listed on IDEAS
    3. Klemens Keldenich & Marcus Klemm, 2014. "Double or nothing?! Small groups making decisions under risk in “Quiz Taxi”," Theory and Decision, Springer, vol. 77(2), pages 243-274, August.
    4. Klemens Keldenich & Marcus Klemm, 2011. "Double or Nothing!? Small Groups Making Decisions Under Risk in “Quiz Taxi”," Ruhr Economic Papers 0278, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.

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    More about this item

    Keywords

    Choice under Risk; Expected Utility; Asymmetric Information; Risk-Aversion;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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