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Common ratio using delay

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Abstract

We present an experiment in which we add a common delay in a choice between two risky prospects. The results show that delay produces the same change in preferences as in the well-documented common ratio effect in risky lotteries. The added common delay acts as if the probabilities were divided by some common ratio. Moreover, we show that there is a strong magnitude effect, in the sense that the effect of delay depends on the magnitude of the outcome. The results are consistent with the recently introduced probability time trade-off (PTT) model by Baucells and Heukamp. We present a parameterization of the model based on the experimental results, showing that the value function exhibits increasing relative risk aversion, the weighting function is s-shaped, and the intrinsic discount rate is decreasing.

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References

  • Baucells, M., & Heukamp, F. (2007). Probability and Time Trade-off. IESE Business School Working Paper.

  • Bostic R., Herrnstein R., Luce R. (1990) The effect on the preference-reversal phenomenon of using choice indifferences. Journal of Economic Behavior and Organization 13(2): 193–212

    Article  Google Scholar 

  • Cruz S., Muñoz M.J. (2004) An analysis of the anomalies in traditional discounting models. International Journal of Psychology and Psychological Therapy 4(1): 105–128

    Google Scholar 

  • Holt C., Laury S. (2002) Risk Aversion and incentive effects. American Economic Review 92(5): 1644–1655

    Article  Google Scholar 

  • Kahneman D., Tversky A. (1979) Prospect theory: An analysis of decision under risk. Econometrica 47(2): 263–291

    Article  Google Scholar 

  • Keren G., Roelofsma P. (1995) Immediacy and certainty in intertemporal choice. Organizational Behavior And Human Decision Processes 63(3): 287–297

    Article  Google Scholar 

  • Mischel W., Grusec J. (1967) Waiting for rewards and punishments: Effects of time and probability in choice. Journal of Personality and Social Psychology 5: 24–31

    Article  Google Scholar 

  • Pratt J. (1964) Risk aversion in the small and in the large. Econometrica 32(1–2): 122–136

    Article  Google Scholar 

  • Prelec D. (1998) The Probability weighting function. Econometrica 66(3): 497–528

    Article  Google Scholar 

  • Prelec D., Loewenstein G. (1991) Decision-making over time and under uncertainty—A common approach. Management Science 37(7): 770–786

    Article  Google Scholar 

  • Quiggin J., Horowitz J. (1995) Time And Risk. Journal of Risk And Uncertainty 10(1): 37–55

    Article  Google Scholar 

  • Rotter J.B. (1954) Social learning and clinical psychology. Prentice Hall, New Jersey

    Book  Google Scholar 

  • Thaler R.H. (1981) Some empirical-evidence On dynamic inconsistency. Economics Letters 8(3): 201–207

    Article  Google Scholar 

  • Weber B.J., Chapman G.B. (2005) The combined effects of risk and time on choice: Does uncertainty eliminate the immediacy effect? Does delay eliminate the certainty effect? Organizational Behavior and Human Decision Processes 96(2): 104–118

    Article  Google Scholar 

  • Wu G., Zhang J., Gonzalez R. (2004) Decision under risk. In: Koehler D., Harvey N.(eds) Blackwell handbook of judgment and decision making. Blackwell, Oxford, pp 399–423

    Chapter  Google Scholar 

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Correspondence to Franz H. Heukamp.

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Baucells, M., Heukamp, F.H. Common ratio using delay. Theory Decis 68, 149–158 (2010). https://doi.org/10.1007/s11238-008-9130-2

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  • DOI: https://doi.org/10.1007/s11238-008-9130-2

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