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Closed-Form Solution of General Intertemporal Consumption Maximization Models


  • Chipman, John S.
  • Tian, Guoqiang


This paper considers explicit representations for very general (discrete and continuous-time) intertemporal consumption-maximization models which allow the instantaneous preferences of the consumer and the time-preference factors to vary over time and for the non-existence of utility functions, more than one generation of consumers with a given probability of death, many commodities, and, further, a wide class of preferences which do not necessarily satisfy the so-called “regularity conditions” (such as differentiability, strict convexity, boundedness, or continuity) and include most of the well-known preferences in literature.

Suggested Citation

  • Chipman, John S. & Tian, Guoqiang, 1993. "Closed-Form Solution of General Intertemporal Consumption Maximization Models," MPRA Paper 41223, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41223

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    References listed on IDEAS

    1. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    2. Cooper, Russel J & McLaren, Keith R, 1983. "Modelling Price Expectations in Intertemporal Consumer Demand Systems: Theory and Application," The Review of Economics and Statistics, MIT Press, vol. 65(2), pages 282-288, May.
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    More about this item


    Closed-form; Solution; Intertemporal Consumption; Maximum Models;

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making


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