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Experimentation and Disappointment

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  • B. Luppi

Abstract

We depart from the classic setting of bandit problems by endowing the agent with a disappointment-elation utility function. The disutility of a loss is assumed to be greater than the elation associated with same-size gain, according to Kahneman-Tversky findings on the attitude of agents towards a change in wealth. We characterise the optimal experimentation strategy of an agent in a two-armed bandit problem setting with infinite horizon and we derive an existence theorem, specifying a condition on the disappointment aversion parameter. The model, solved in closed form in a one-armed bandit setting, shows that an agent who feels disappointment experiments more intensively than the agent characterised by the standard expected utility model, despite disappointment, but only if the degree of disappointment is under a certain threshold level. The threshold level depends both on the probability of rewards along the unknown projects relative to the expected number of trials and on the expected reward of the unknown project.

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  • B. Luppi, 2003. "Experimentation and Disappointment," Working Papers 493, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:493
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    References listed on IDEAS

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    1. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    2. John Hey, "undated". "Experiments and the Economics of Individual Decision Making Under Risk and Uncertainty," Discussion Papers 95/49, Department of Economics, University of York.
    3. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    4. 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.
    5. Weitzman, Martin L, 1979. "Optimal Search for the Best Alternative," Econometrica, Econometric Society, vol. 47(3), pages 641-654, May.
    6. Loomes, Graham & Sugden, Robert, 1987. "Some implications of a more general form of regret theory," Journal of Economic Theory, Elsevier, vol. 41(2), pages 270-287, April.
    7. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    8. 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.
    9. Roberts, Kevin & Weitzman, Martin L, 1981. "Funding Criteria for Research, Development, and Exploration Projects," Econometrica, Econometric Society, vol. 49(5), pages 1261-1288, September.
    10. Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October.
    11. Sugden, Robert, 1991. "Rational Choice: A Survey of Contributions from Economics and Philosophy," Economic Journal, Royal Economic Society, vol. 101(407), pages 751-785, July.
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