Monotone Concave Operators: An application to the existence and uniqueness of solutions to the Bellman equation

Abstract : We propose a new approach to the issue of existence and uniqueness of solutions to the Bellman equation, exploiting an emerging class of methods, called monotone map methods, pioneered in the work of Krasnosel'skii-Zabreiko (1984). The approach is technically simple and intuitive. It is derived from geometric ideas related to the study of fixed points for monotone concave operators defined on partially order spaces.
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https://hal.archives-ouvertes.fr/hal-00294828
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Submitted on : Monday, July 28, 2008 - 3:24:16 PM
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  • HAL Id : hal-00294828, version 1

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Cuong Le Van, Lisa Morhaim, Yiannis Vailakis. Monotone Concave Operators: An application to the existence and uniqueness of solutions to the Bellman equation. 2008. ⟨hal-00294828⟩

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