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History-Dependent Risk Attitude

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  • David Dillenberger
  • Kareen Rozen

Abstract

We propose a model of history-dependent risk attitude (HDRA), allowing the attitude of a decision-maker (DM) towards risk at each stage of a T-stage lottery to evolve as a function of his history of disappointments and elations in prior stages. We establish an equivalence between the existence of an HDRA representation and two documented cognitive biases. First, the DM’s risk attitudes are reinforced by prior experiences: he becomes more risk averse after suffering a disappointment and less risk averse after being elated. Second, the DM displays a primacy effect: early outcomes have the strongest effect on risk attitude. Furthermore, the DM lowers his threshold for elation after a disappointing outcome and raises it after an elating outcome; this makes disappointment more likely after elation and vice-versa, leading to statistically reversing risk attitudes. “Gray areas†in the elation-disappointment assignment are connected to optimism and pessimism in determining endogenous reference points.
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  • David Dillenberger & Kareen Rozen, 2011. "History-Dependent Risk Attitude," Levine's Working Paper Archive 786969000000000066, David K. Levine.
  • Handle: RePEc:cla:levarc:786969000000000066
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    9. Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2020. "Objective rationality foundations for (dynamic) alpha-MEU," Cowles Foundation Discussion Papers 2244R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2021.
    10. Shiri Artstein-Avidan & David Dillenberger, 2010. "Dynamic Disappointment Aversion: Don't Tell Me Anything Until You Know For Sure," PIER Working Paper Archive 10-025, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    11. Mark Browne & Verena Jaeger & Petra Steinorth, 2019. "The impact of economic conditions on individual and managerial risk taking," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 44(1), pages 27-53, March.
    12. Geoffrey C. Friesen & Noel Pavel Jeutang & Emre Unlu, 2022. "The Effect of Unsuccessful Past Repurchases on Future Repurchasing Decisions," Management Science, INFORMS, vol. 68(1), pages 716-739, January.
    13. Mark Browne & Verena Jaeger & Petra Steinorth, 2019. "The impact of economic conditions on individual and managerial risk taking," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 44(1), pages 27-53, March.
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    17. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2020. "Random Evolving Lotteries and Intrinsic Preference for Information," Working Papers 2020-71, Princeton University. Economics Department..
    18. Benjamin Keefer, 2016. "Sensitization and Extraordinary Persistence," Working Papers 2016-01, Carleton College, Department of Economics.
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    JEL classification:

    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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