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On Aggregators and Dynamic Programming

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Abstract

In the tradition of Irving Fisher, the current article advocates an approach to dynamic programming that is based upon elementary aggregating functions where current action and future expected payoff combine to yield overall current payoff. Some regularity properties are provided on the aggregator which allow for establishing the existence, the uniqueness and the computation of the Bellman equation. Some order-theoretic foundations for such aggregators are also established. The aggregator line of argument encompasses and generalizes many previous results based upon additive or non-additive recursive payoff functions

Suggested Citation

  • Philippe Bich & Jean-Pierre Drugeon & Lisa Morhaim, 2015. "On Aggregators and Dynamic Programming," Documents de travail du Centre d'Economie de la Sorbonne 15053, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:15053
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    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2015/15053.pdf
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    1. Takashi Kamihigashi, 2014. "Elementary results on solutions to the bellman equation of dynamic programming: existence, uniqueness, and convergence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 251-273, June.
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    More about this item

    Keywords

    Dynamic Programming; Aggregators; Intertemporal Choice;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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