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A Relationship Between Risk and Time Preferences


  • Kota Saito


This paper investigates a general relationship between risk and time preferences. I consider a decision maker who chooses between consumption of a particular prize in one period and a different prize in another period. The individual believes that today’s good is certain, and that, as the promised date for a future good becomes increasingly distant, the probability of his consuming the good decreases. Under these assumptions, this paper shows that the individuals exhibits the common ratio effect, the certainty effect, and the expected utility if and only if he discounts hyperbolically, quasi-hyperbolically and exponentially, respectively.

Suggested Citation

  • Kota Saito, 2009. "A Relationship Between Risk and Time Preferences," Discussion Papers 1477, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1477

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    Cited by:

    1. Kontek, Krzysztof, 2010. "Linking Decision and Time Utilities," MPRA Paper 27541, University Library of Munich, Germany.

    More about this item


    Allais paradox; hyperbolic discounting;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • 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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