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A value function that explains the magnitude and sign effects

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  • al-Nowaihi, Ali
  • Dhami, Sanjit

Abstract

Loewenstein and Prelec (1992) explain the 'magnitude effect' and the 'sign effect', respectively, by using increasing elasticity of the value function and a higher elasticity for losses as compared to gains. We provide a value function with these two properties.

Suggested Citation

  • al-Nowaihi, Ali & Dhami, Sanjit, 2009. "A value function that explains the magnitude and sign effects," Economics Letters, Elsevier, vol. 105(3), pages 224-229, December.
    • Handle: RePEc:eee:ecolet:v:105:y:2009:i:3:p:224-229
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    1. Scholten, Marc & Read, Daniel, 2006. "Beyond discounting: the tradeoff model of intertemporal choice," LSE Research Online Documents on Economics 22710, London School of Economics and Political Science, LSE Library.
    2. Manzini Paola & Mariotti Marco, 2006. "A Vague Theory of Choice over Time," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-27, October.
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    5. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-1162, June.
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    7. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    8. 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..
    9. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
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    11. Marc Scholten & Daniel Read, 2006. "Discounting by Intervals: A Generalized Model of Intertemporal Choice," Management Science, INFORMS, vol. 52(9), pages 1424-1436, September.
    12. repec:ubc:pmicro:halevy-04-10-29-10-08-43 is not listed on IDEAS
    13. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
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    Citations

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    Cited by:

    1. Ali al-Nowaihi & Sanjit Dhami, 2013. "Foundations and Properties of Time Discount Functions," Discussion Papers in Economics 13/27, Division of Economics, School of Business, University of Leicester.
    2. Ali al-Nowaihi & Sanjit Dhami, 2013. "A Theory of Reference Time," Discussion Papers in Economics 13/26, Division of Economics, School of Business, University of Leicester.
    3. Ali al-Nowaihi & Sanjit Dhami, 2008. "A general theory of time discounting: The reference-time theory of intertemporal choice," Discussion Papers in Economics 08/34, Division of Economics, School of Business, University of Leicester.
    4. Cruz Rambaud, Salvador & Ortiz Fernández, Piedad & Parra Oller, Isabel María, 2023. "A systematic review of the main anomalies in intertemporal choice," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 104(C).
    5. Marc Scholten & Daniel Read, 2014. "Prospect theory and the “forgotten” fourfold pattern of risk preferences," Journal of Risk and Uncertainty, Springer, vol. 48(1), pages 67-83, February.
    6. Ali al-Nowaihi & Sanjit Dhami, 2018. "Foundations for Intertemporal Choice," CESifo Working Paper Series 6913, CESifo.
    7. Cruz Rambaud, Salvador & Parra Oller, Isabel María & Valls Martínez, María del Carmen, 2018. "The amount-based deformation of the q-exponential discount function: A joint analysis of delay and magnitude effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 788-796.
    8. Słomczyński, Wojciech & Życzkowski, Karol, 2012. "Mathematical aspects of degressive proportionality," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 94-101.
    9. Ali al-Nowaihi & Sanjit Dhami, 2021. "Preferences over Time and under Uncertainty: Theoretical Foundations," CESifo Working Paper Series 9215, CESifo.
    10. Philip A. Horvath & Amit K. Sinha, 2017. "Asymmetric reaction is rational behavior," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 41(1), pages 160-179, January.

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    More about this item

    Keywords

    Anomalies of the exponentially discounted utility model The magnitude effect The sign effect SIE value functions;

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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