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Discounting models for outcomes over continuous time

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  • Harvey, Charles M.
  • Østerdal, Lars Peter
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    Abstract

    Events that occur over a period of time can be described either as sequences of outcomes at discrete times or as functions of outcomes in an interval of time. This paper presents discounting models for events of the latter type. Conditions on preferences are shown to be satisfied if and only if the preferences are represented by a function that is an integral of a discounting function times a scale defined on outcomes at instants of time.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0304406812000432
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 48 (2012)
    Issue (Month): 5 ()
    Pages: 284-294

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    Handle: RePEc:eee:mateco:v:48:y:2012:i:5:p:284-294

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    Web page: http://www.elsevier.com/locate/jmateco

    Related research

    Keywords: Continuous time; Integral discounting; Integral utility function;

    References

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    1. Charles M. Harvey & Lars Peter Østerdal, 2007. "Integral-Value Models for Outcomes over Continuous Time," Discussion Papers 07-10, University of Copenhagen. Department of Economics.
    2. Charles M. Harvey, 1986. "Value Functions for Infinite-Period Planning," Management Science, INFORMS, vol. 32(9), pages 1123-1139, September.
    3. Kopylov, Igor, 2010. "Simple axioms for countably additive subjective probability," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 867-876, September.
    4. A. C. Williams & J. I. Nassar, 1966. "Financial Measurement of Capital Investments," Management Science, INFORMS, vol. 12(11), pages 851-864, July.
    5. Harvey, Charles M., 1994. "The reasonableness of non-constant discounting," Journal of Public Economics, Elsevier, vol. 53(1), pages 31-51, January.
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