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info:eu-repo/semantics/altIdentifier/doi/10.1007/s00199-018-1166-0
Jean-Pierre Drugeon et al., « On maximin dynamic programming and the rate of discount », HAL-SHS : économie et finance, ID : 10.1007/s00199-018-1166-0
This article establishes a dynamic programming argument for a maximin optimization problem where the agent completes a minimization over a set of discount rates. Even though the consideration of a maximin criterion results in a program that is not convex and not stationary over time, it is proved that a careful reference to extended dynamic programming principles and a maxmin functional equation however allows for circumventing these difficulties and recovering an optimal sequence that is time consistent.