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Closed-Form Solution of General Intertemporal Consumption Maximization Models

Author

Listed:
  • Chipman, John S.
  • Tian, Guoqiang

Abstract

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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    File URL: https://mpra.ub.uni-muenchen.de/41223/1/MPRA_paper_41223.pdf
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    References listed on IDEAS

    as
    1. Richard Blundell & Ian Walker, 1986. "A Life-Cycle Consistent Empirical Model of Family Labour Supply Using Cross-Section Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 539-558.
    2. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    3. 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.
    4. Brown, Murray & Heien, Dale M, 1972. "The S-Branch Utility Tree: A Generalization of the Linear Expenditure System," Econometrica, Econometric Society, vol. 40(4), pages 737-747, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Closed-form; Solution; Intertemporal Consumption; Maximum Models;
    All these keywords.

    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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